diff --git "a/data/dm_maths/full_data/10059_11255.jsonl" "b/data/dm_maths/full_data/10059_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10059_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (5 + 0 - 3)*(5*u - 10 + 10)*(0 - 3 + 4)*(0 - 4 + 1).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-37 + 39 - 54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.39 - -10.29. Let v = 11 + -11.1. Which is the closest to r? (a) 1 (b) 0.7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125938, -125939, -125940, -125941, -125942, -125943?\n\"Answer: -h - 125937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -14. Let f = k + 7. Put -4, 3, f in decreasing order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-62 - -116) - -11.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3481 + 3485. What is the closest to 2\/7 in 62, y, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*b + 1 - 37 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-288))\/((-6)\/344) - 558\/(-2511)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f + 6. Sort -3, -10, f in increasing order.\nAnswer: -10, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199774265 divided by 19.\nAnswer: -10514435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34808544 or 34808543?\nAnswer: 34808543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 31*s + 36 - 36. Let g(h) = 5*h**2. Determine x(g(j)).\nAnswer: -135*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*t**2 + 2*t - 8 wrt t.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68042 divided by 2617.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 18, 4.9, -1\/3, -1 in descending order.\nAnswer: 18, 12, 4.9, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*l = -16, -l = g - 6*g + 7. Let s(b) = -2*b**3 + 3*b**2 + 3*b. Let v(f) = f**3 - f**2 - f. What is g*s(q) + 6*v(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66941779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -4*r - 11*u + 17, 7 = 4*r - 5*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose p*f - 4 + 0 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 163002?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -554, -539, -502, -443?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17017485 at most 17017486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (6\/2 - -5). Let a = i - 5. Solve 2*u = -a*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u + 3. Suppose -75 = -12*b - 3*b. Find the third derivative of -11*p**2 + 2*p**5 + 3*p**2 + u*p**b wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 22 + -5)\/(1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24684 = -76*w - 408*w for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -603*s - 10287. Determine o(-17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*a = -18, -2*a + 2 = -4*i - 14. Let d be -1*1 + (0 - -8)\/8. What is the nearest to 1 in -2\/3, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -8*b + 114. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 176, 2, 5 in descending order.\nAnswer: 176, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52343?\nAnswer: 17, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831719?\nAnswer: 7, 131, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 695 and 6533.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 29.9. Is 11 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -7 - 4 - 19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**9\/504 - 3*m**5\/20 - 10*m**2. What is the third derivative of h(v) wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9879632 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-4)\/(-1)))\/((-7)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 - 10325?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w + 295 = 0. Let v = w - 24. Suppose -3*i = -5*n + i + 44, 4*n - 3*i = v. What is the smallest common multiple of 5 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7483910 divided by -2.\nAnswer: 3741955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -32, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.2878 and 0.2?\nAnswer: 3.25756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4677 + -3.4677. Which is the closest to 1.5? (a) 0.2 (b) 3\/2 (c) -0.1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 4.87959 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 323*1 - (3 - (2 + -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 30 + (-6 - -9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/95800 and 53\/21076.\nAnswer: 1053800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669452 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.0703, -18?\nAnswer: 0.0703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Suppose 3*c = 4*c - p*r - 9, -4*r = c. Suppose -2*m = -c*m - y + 95, -5*m = -y - 220. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**6\/120 + g**5\/60 - g**4\/8 + 2*g**3\/3 + 2*g**2 - 1. Let u(r) be the second derivative of b(r). Determine u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**5\/20 - 5*x**4\/12 - x**3\/3 - 4*x**2 - 253*x + 12. Let o(r) be the first derivative of l(r). Give o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.79 - -0.04. Let o = i - 9.13. Let g = 6.44 + o. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(396))**2 - sqrt(396))*-1.\nAnswer: -1188 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 3\/2, -102, 0.124?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13850 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370197 and 153?\nAnswer: 6293349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61195.988 days in weeks?\nAnswer: 8742.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 26203268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -38. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 120*l - 1722. Determine z(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 17*h**2 + h + 17. What is r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*t = 92050 + 142743, 5*u - 234805 = -5*t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8440 divided by -5?\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26287, -28445, -30605, -32767, -34931, -37097, -39265?\nAnswer: -41435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.03094452 minus 4?\nAnswer: -372.03094452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -572864 divided by 71608\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15040 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 512904633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035368 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18.8227746s?\nAnswer: 0.0002178561875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 679*j**4 + 132?\nAnswer: 2716*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 10 + 3 - 2*q - 11. Suppose 8*z - 12*z + 3*s = -28, -4*z - 5*s = -60. Give h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12 - 4. Let t(y) = -f*y - 4 + 2*y**2 + 0*y + 11. Let o(c) = c**2 - 2*c + 3. Let m(w) = 10*o(w) - 4*t(w). Factor m(j).\nAnswer: 2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a1 - 18a40?\nAnswer: -19101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 + (1 - 0)*3. Suppose o = -2*r + 3*o + 64, r + o = l. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:22 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {h: 2, x: 2, y: 2, j: 4, p: 2, s: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(((-1)\/2)\/(2304\/512)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36206958365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4577*l = 4598*l - 63. Solve 1 = 3*d + 6*k + 7, 3*k = 3*d - l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 170 = -5*a, 3*u + 24 = -a - 158. Let m = u + 70. Is 6 a factor of ((-2)\/3)\/(m\/(-630))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) -4\/5 (c) -5 (d) -40 (e) 1\/8 (f) 3\/5 (g) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 41. Let n = q + -14. Let v(r) = -r**3 - 7*r**2 + 7*r + 8. What is the tens digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4 - 42*i**3 - 99*i**2 + 336*i - 192 = 0 for i.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108911, -217820, -326729, -435638, -544547, -653456?\nAnswer: -762365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3068 and 1888.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 310*j + 381 with respect to j.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/828040 and -49\/4064?\nAnswer: 3312160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 - 2328*h**3 + 7005*h**2 - 4674*h.\nAnswer: -3*h*(h - 2)*(h - 1)*(h + 779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 2. Give o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -15. Let n = -21.2 - -15.4. Let c = n + 4.8. What is the nearest to c in u, 2\/3, -7\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/41, 0.3, -2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 285?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/(47124\/(-288))*2\/4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-6650))\/(6\/(4\/((-56)\/(-105)))).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 133.9562. What is s rounded to 3 decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 17. Let z be -23 + 17 - (-164)\/m. Solve -4*y - 5*l = 45, 2*y + 6*l - l + z = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45957.\nAnswer: 3, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1197*z**3 + 2104184 - 2104184.\nAnswer: 1197*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/1657 + 1633\/6628. Let x(y) be the first derivative of c*y**3 + 3\/8*y**2 + 0*y + 17. Determine i so that x(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 960?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*b - 7879, -57*j + 54*j = 2*b - 4754. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:20 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12926183?\nAnswer: 73, 113, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1) + (-6 - 1). Let p be 0\/((5 + 0)\/o). Solve p = -3*s + 3*t - 0*t + 9, 9 = 3*s + 5*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, p: 2}. Give prob of picking 3 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -758, 1\/2, 0.2, -2, 0.3, 115, 2?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -37a?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-1 - -3) + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -3, 0, 2\/5, -0.5 in decreasing order.\nAnswer: 43, 2\/5, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5220*q + 28 = -5218*q, -9 = -l - q. Let c = -26\/105 + 4\/35. What is the smallest value in -2\/31, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -625 + 270 - 22*b + 356. Let h(z) = 11*z. What is i(h(n))?\nAnswer: -242*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29107 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/180 - k**4\/6 + 9*k**2. Let z(d) be the second derivative of f(d). Let u(x) = x - 2*x - x. What is u(z(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + ((-4)\/3)\/((-18)\/621). Suppose 0 = -3*h - 5 - 112. Let v = h + q. What is the closest to 2\/5 in v, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2312*h**3 - 5*h + 5. Is 17 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 400073581 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 48*w + 5*r + 32 = 0, -w + 14 = -5*r for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 673\/456 + -7\/38. Let t = -5\/8 + d. Factor 0 + 4\/3*z**2 - t*z - 2\/3*z**3.\nAnswer: -2*z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 1347*x**2\/5 - 47036*x\/5 + 41952.\nAnswer: -(x - 4)*(x + 40)*(x + 1311)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48954?\nAnswer: 2, 3, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 89.59. Let h = q - 18.59. Let d = h + 16. Put -1\/4, d, -0.3 in decreasing order.\nAnswer: -1\/4, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -656 - -1311\/2. What is the closest to 1\/3 in 7, 0, 3\/5, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -179546964.49?\nAnswer: 179546964.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26\/3 + -121\/15. Let p be 6\/(-4) + 212\/(-104). Let f = 44\/13 + p. What is the second smallest value in f, w, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4 + 17 = -424*c + 420*c, 0 = 5*j - 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*a**2*o - 2*a**2 + 34*a*o - 2*a + 4268*o wrt a?\nAnswer: 76*a*o - 4*a + 34*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*m = -85, -3*m + 51 = 87*c - 74*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 2\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1261 and 582.\nAnswer: 7566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17708 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*m**2 - 44*m + 100*m**2 - 22*m wrt m.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 27*f = 2*j - 7*f + 29*f + 20, -3*f = -5*j + 63 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/4 + 55*y**4\/3 + 1615*y**3\/6 + 700*y**2 + 2223*y - 2. Suppose s(b) = 0. Calculate b.\nAnswer: -35, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37376 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12 = -j, 3*j + 2*c - 3*c - 6 = 0. Let f(p) = j + 0 + 2 + 2*p. Calculate f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j - j)*(2 - 2 + 2*j) + 3*j - 95*j**2 - 6*j + 3*j.\nAnswer: -99*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -432503140 (base 6) to base 3\nAnswer: -112110202022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 20\/8 + -4)*-20. Calculate the greatest common divisor of g and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 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: Expand (-3*u + 5*u - 4*u)*(4*u + u**4 - 4*u) + u**3 + 4 - 176*u**5 + 152*u**5 - 59*u + 25*u**5.\nAnswer: -u**5 + u**3 - 59*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 16396?\nAnswer: 49188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 + -2 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/3 (b) 0.1 (c) 8 (d) 3 (e) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbsbmbyysyjjymm. Give prob of picking 1 j, 1 y, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.02836, 3\/4, 0.1?\nAnswer: -0.02836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 - 625534*h\/15 + 12721672\/5.\nAnswer: -2*(h - 61)*(h + 312828)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2\/39, 2.\nAnswer: -14, -2\/39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + -5) - (-2 + 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppppyyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q + 2*q)*(5 + 2 - 13) + (0 + 1 + 2)*(5*q**2 - 5*q**2 - q**2).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosododddoodosdsood. What is prob of sequence sso?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*1*1*sqrt(1088) + -4.\nAnswer: -5 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -28*t + 29*t - 15, -7 = -t - 2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 186. Suppose 26*z - 27*z + d = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3) + 32\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 11. Let t be l(-8). Let w(p) = 7 + p - 5 + t + 3. List the prime factors of w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let g = -8 + 6. Let o(w) = w**2 + w + 2. Let m be o(g). Give r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -2*c, -6*g - 3*c + 9 = -5*g. Solve 5*j = -2*n - 24, 0 = 2*j - g*j + 4*n - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(5 - 6 + 3)*(506*p**3 + 334*p**3 - 150*p**3).\nAnswer: -4140*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 - 487. Let q be (((-8)\/20)\/2)\/(w\/10). Which is the second biggest value? (a) 3 (b) -1 (c) q (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = -l, -l = -0*l + 1. Suppose -h*u = -5*n - 27, 0 = 3*u + 5*n - 42 - 15. Suppose 5*t + u = 129. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 6:48 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 315989 + 33*n**3 + 315989.\nAnswer: 33*n**3 - 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2252e - 1c?\nAnswer: -2254a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-2))\/(-2) + 2. Suppose 3*k + 66 = 6*k. What is the highest common factor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3784 - 3763. What is the highest common factor of x and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/126*6)\/(120\/(-1260)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 5. Let s be 3 - (-1 - 64) - (h - 2). What is the greatest common factor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -7*r**4\/4 - 4*r**2 + 5. What is the second derivative of y(v) wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*p + 1203, -2*p - 110 = -y + 132. What is the least common multiple of y and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1204858*r**3 - 2*r**2 + 411118*r wrt r.\nAnswer: -7229148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-263060)\/(-2660) + (-2)\/(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 - 1)\/4)\/(4\/(-16)). Put -18, q, 9, -0.4, 0.1 in decreasing order.\nAnswer: 9, 0.1, -0.4, q, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l**2 - l**2 + 2*l**2)*(7 + 0 - 2)*(-4 - 1 + 6)*(-34*l + 17 - 17).\nAnswer: 2890*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/42 and 59\/69.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 20131?\nAnswer: -20131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528138 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*l + 866206 = 5*q - 144*l, 5*q - 3*l - 866164 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*(-80)\/(-5376))\/((-15)\/18)*6\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 3. Let o be i(10). Let d = o - -3. Find the third derivative of 9*r + 2*r**4 - d*r**4 + 14*r**2 - 9*r wrt r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -3*w - 60, -4*w + 687802 = 3*g + 687863 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let v(h) be the first derivative of -h**4 + 5 + 0*h + 0 + 2*h - j. Differentiate v(x) with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 24 + -8 + -12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 - 67.9. Let y = -64.5 - g. Which is the third biggest value? (a) 5 (b) -1\/6 (c) y (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -633929196.7 from 29.9.\nAnswer: 633929226.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p. Let r be z(1). Suppose -3*c = 2*d + 8, 9 = 3*d - 4*c + 4. What is the third biggest value in d, 2\/7, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1 - 11 + 5 + 3*t + 6*t + 11*t**2. Let l(s) = 12*s**2 + 8*s - 5. Let m(f) = 6*g(f) - 5*l(f). Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:31 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 9*s**2 - 14*s - 15. Is 9 a factor of j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 26645?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -72, 0, 268, -2 in descending order.\nAnswer: 268, 0, -1, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170861.\nAnswer: 61, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 1026023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000960013 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 52823.8.\nAnswer: 1056.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92320*w**5 - 35373*w - 1 wrt w.\nAnswer: -1846400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -8 (c) 5 (d) 1 (e) -0.6 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96990 - 96985.9. Let y be (((-3)\/(-6))\/(-1))\/(-2). What is the second smallest value in 3, y, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 13460268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 plus 101?\nAnswer: 109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 166946472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286974737.\nAnswer: 7, 5483, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 8*j - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3251204 and -61\/855580.\nAnswer: 16256020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 4. Let f(i) = -4*i + 13. Let l(h) = 4*f(h) + 14*x(h). Let c be l(-5). Does 17 divide (-147)\/(-9) - c\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02898115 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t - 10. What is the remainder when 118 is divided by j(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 5 (c) 3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 38 = -3*x, -5*x + 50 = -f + 2. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/372 and (-754)\/(-232) + (-272)\/93?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 2. Suppose 4*o + 42 - 10 = 0. Let b be z(o). Suppose -5*x - 14 = -b*x. Solve -x = -4*g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(5 - 3 - 0). Let a(c) = 13 + c**2 - 5 - 3*c + 2*c - m*c. What are the prime factors of a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -4*q - 2*q + 180. Solve q*c - 30 = -18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 12 = 0, -222199 = -5*u + h. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(704) + (sqrt(704) - (sqrt(704) + 2)) + 3)**2.\nAnswer: -96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 - 5*i + 0 + 0. Calculate the remainder when 23 is divided by o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517914.\nAnswer: 2, 3, 586319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29879 + -29862. Let i(l) = -18*l. Let z be i(-1). Let y be (-1)\/(-36) + 4\/z. Is u < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -516888138 from 258.6.\nAnswer: 516888396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from tsnyyyt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 6, 217, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = 15234 - 15863 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 122\/(-8)*(-11)\/((-55)\/(-20)). Let f = -23 - -5. Let b = f + l. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010111011101 + -1011?\nAnswer: -1110010111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*w + 87, 4*w = -3*x - 0*x + 116. Let g = 124 - 77. Let u = g - w. Calculate the remainder when 34 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -a + 9. What is the common denominator of (-3)\/9 + a\/15 and -91\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 124*c**2 - 7*c - 2. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -11*o**5\/12 + 64*o**3\/3 - 143*o**2\/2 - 96. Let t(r) be the second derivative of b(r). Differentiate t(k) wrt k.\nAnswer: -110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.626 and -191354.\nAnswer: -191351.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 + 13*m**4\/12 - 13*m**3\/6 + 13*m**2 - 21*m. Let h be r(-14). Suppose -2*u = -88 - h. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/910802 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Suppose 3*g = -g. Let l be p(g). Solve -2\/7*k**2 + l*k + 2\/7 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 (base 14) in base 11?\nAnswer: -25a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*b + 2\/3*b**2 - 2 = 0. What is b?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -0.8326?\nAnswer: 1.0326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/20 + 9*x**4\/8 + 7*x**3 + 184*x**2. Let n(f) = 0. What is f?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 - 5*n - 6. Let o(s) = -25*s**2 - 14*s - 17. Give 4*o(k) - 11*v(k).\nAnswer: -k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 divided by -3?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 5*q**2 + 3. Let b(g) = -5*g**3 + 11*g**2 - 6. Calculate -4*b(a) - 9*s(a).\nAnswer: 2*a**3 + a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -23190980\nAnswer: 11\/23190980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -20. Suppose l*i - 59 = 7. Suppose -3 = -3*c + i. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 - 5292*z + 413512 = 0.\nAnswer: -1397, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -109 + 109 - (1\/1 - 4). Solve -4*x + a*h = -31, -5*h = -x - 4*h + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:00 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*y + 4014 + 1572. What is the remainder when y is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 3*i**2 - 4*i. Let g be f(2). Suppose -4*b - 1 + 9 = 0. Let y(n) = 4*n - n**2 + 0*n**b + 6 - 2*n. Calculate y(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 2*p**2 - 2*p. Let o(c) = -508*c**3 + 13*c**2 - 65*c. Let h(j) = o(j) + 9*q(j). What is the third derivative of h(z) wrt z?\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795 - 2078 = 358*h + 1152 + 2219 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8796 + 0?\nAnswer: -8796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25209859061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9162 + -9161.99999992415. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (7 + -3 - -3). Suppose u = v + 9, -5 = 3*v + g. Suppose 0*j - 108 = -u*j. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/24*l**4 + 1\/112*l**8 + 0*l**5 + 0 + 0*l**7 + 0*l**3 - l**2 + 0*l + 0*l**6. Find the second derivative of h(w) wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, r: 3, s: 2}. What is prob of picking 1 r and 2 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 21. Let q be b(0). Let a(l) = -l**3 - 20*l**2 + 19*l - 26. What is the remainder when a(q) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9105, 9114, 9137, 9180, 9249, 9350, 9489, 9672?\n\"Answer: c**3 + c**2 - c + 9104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44019?\nAnswer: 3, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8882899 to the power of 1\/2, to the nearest integer?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**3 + v**2 - 91*v**3 + 366*v**3 - 127*v**3 - v**2.\nAnswer: 93*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -7 + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976962 = -32*j + 1223650 - 774916. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 2972453.\nAnswer: 2972458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 5031 + 442. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-549)\/(-1) - 2). List the prime factors of 1\/(4\/m*-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3556 and 47\/1026224.\nAnswer: 912313136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3168) + sqrt(22) + 3*sqrt(66)\/sqrt(3))*3)\/(-3*sqrt(396) - (sqrt(396) + sqrt(396)*-3)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 - 49498*t**3\/5 + 247454*t**2\/5 - 346422*t\/5 + 148464\/5 = 0. What is t?\nAnswer: 1, 3, 24744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -37 (c) -0.25 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/111679?\nAnswer: -8\/111679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/270 and -115\/14862?\nAnswer: 668790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - 38. Let g = a - -123. What is the highest common factor of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/11))**(9\/8) assuming x is positive.\nAnswer: x**(-9\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110395136.\nAnswer: 2, 59, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -61*l + 1. Let c(a) = 1. Give -3*c(r) + x(r).\nAnswer: -61*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 5*p, 3*p + 3 = -4*v + 32 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 54 = 9*h. Let y(w) = 462006*w - 30. Let p be y(h). Round p to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(189 + -54 + (-40 - -59)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 395*c**3 + 9*c**2 - 3*c + 21. Let k(q) = 99*q**3 + 2*q**2 - q + 5. Let z(s) = 9*k(s) - 2*t(s). What is the second derivative of z(a) wrt a?\nAnswer: 606*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 + 88 - 172 + (-4 + 0 + 2)*(8 - 4 + 0))*(-2*d + 3*d - 2*d) to x*d + s and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -6*c + 5*c + 14, -4*c = 12. Suppose -y = 5*s - 27. Suppose s*t = 19 - 7. Calculate the least common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*t + 14 - 4, y = 2*t. Calculate the smallest common multiple of 2*(1*t - -3) and (-2 - -4) + (-91)\/(-7) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/3283, -0.06?\nAnswer: 1\/3283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 0. Let q be (h\/6)\/(4\/(-6)). Find the second derivative of -q*s + 4*s - 3*s - s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:33 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47688975478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*k + 2355*k + 3728*k = 329297 + 5372 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-1 - 5))*1. Suppose h*r = 1 - 11. Let f = -6.8 + 7.2. Which is the second biggest value? (a) 0.2 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j + 181. Let a be q(22). What is the third derivative of 55*v**2 + 16*v**5 + 2*v**3 - 47*v**a + 38*v**5 wrt v?\nAnswer: 420*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 15*j - 2995 = 180*j - 14995 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*f = -18, 7*i + f - 27 = 3*i. Let m = i - -13. Calculate the least common multiple of 15 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(((v*v*v**(3\/2)\/v)\/v)\/v))\/v**(4\/5)*(v\/(v**(-3\/2)\/v))\/v*v**(-9) assuming v is positive.\nAnswer: v**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 35*m**2 + 246*m + 9. Calculate p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.62 - -51. Let m = 0.36 - i. Let p be 45\/(-84) - 1\/(-4). Which is the closest to p? (a) m (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (22 - 29) - (-13 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 790 and 1.1.\nAnswer: 791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1242, -1269, -1296, -1323?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 87. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Suppose 0 = -d*m + 4*g + 112, m + 3*m - 112 = g. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3744 and 870714?\nAnswer: 13931424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6186 + 6188. Solve -33*c + 36*c = -3*i, -4*i + 24 = -d*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*m - 1116 = -54*m - 5846 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**5\/110 - 2*n**4\/33 + 5*n**3\/33 - 2*n**2\/11 + 12*n. Solve x(q) = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181366 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/12 - 8*n. Let r(p) = -3*p + 2. Let q(h) = 7*h - 5. Let d(b) = -2*q(b) - 5*r(b). What is d(x(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 495\/66*(-8)\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*g**2)*(2001*g + 2999*g + 441*g).\nAnswer: 10882*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15095987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 2\/3*l + 2\/9*l**3 - 10\/9*l**2.\nAnswer: 2*(l - 3)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*p + 6, -2*u - 4*p - 3 = -7*u. Calculate the least common multiple of 1 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xttttxtjtxqj. What is prob of picking 3 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4271 is divided by 330.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 4*m**4 + 6*m**4)*(0 + 4 - 2) + 4*m**4 - 2*m**4 - m**4 + 4*m**4 - m**4 - m**4 + (3*m**2 - 3*m**2 - 2*m**3)*(m - m - m).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -1\/6 (b) 1.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/((-4)\/24). Let t = n + 33. Let r(m) = -m**3 - m**2 - m + 8. Let p be r(0). Calculate the highest common factor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.6613.\nAnswer: -5.9517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 226, 303, 498, 871, 1482?\n\"Answer: 10*y**3 - y**2 + 10*y + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 580*s**2 - 415*s - 165.\nAnswer: 5*(s - 1)*(116*s + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -570, -4, 1748.1?\nAnswer: 1748.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11821?\nAnswer: 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:15 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693610368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -306, -2\/135, 0.4, -5\/4, -0.12, 3?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -720840 divided by -30035?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-576)\/10)\/((-314)\/7850) and 2520.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**2 - 3\/140*u**5 + 1\/21*u**4 - 4*u - 1\/105*u**6 + 1\/294*u**7 + 2\/21*u**3 + 0. Let n(b) = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 - 132. Let u = -4\/13 + -1\/39. Which is the nearest to -1? (a) o (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**7\/42 + w**3\/6 - w. What is the second derivative of f(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 2*r**2 + 1433*r**3 - 1125*r**3.\nAnswer: 308*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 19980*l**3 + 19597140*l**2 + 725034240*l + 6584094720.\nAnswer: 5*(l - 2016)**2*(l + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -339*o**2 + 340*o**2 - 4*o**3 + 3*o**3 - o. What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1\/2, -0.13, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3 + 5. Let m be (-3 + w)*(-1)\/(-1). Let q(l) be the second derivative of 5*l**3\/3 - l. Calculate q(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 - (835316\/2523276 - 9\/279).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(78)*-4 - sqrt(78) - sqrt(78) - 3*(-1*sqrt(78) - sqrt(78) - sqrt(78)))\/(-4*sqrt(36)\/sqrt(6)*-1))**2.\nAnswer: 26325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1438 and -143.585.\nAnswer: 206475.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 6*a - 6. Let r be v(-4). Suppose 0 = -5*s + r + 23. Suppose -5*o + 2*o + s*g = -30, 0 = 2*o + 4*g + 2. Solve o*y + 12 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2610551mg?\nAnswer: 0.0000000002610551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times -0.7?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3834*y**2 + 9*y - 47*y + 16*y + 15*y.\nAnswer: -3834*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 6201.8747 rounded to the nearest 10?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.21 + 1.16. Let p = 814.3 + -814. Sort 1\/6, 1\/2, t, p.\nAnswer: t, 1\/6, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/17, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -724999 + -3?\nAnswer: -725002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 35. Suppose -2*h = -b*n - 6*h + 24, -8 = -n + 2*h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*a + 516 = 80, -c + 3*a = -418. List the prime factors of c.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31912 divided by 4?\nAnswer: 7978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-9)*v))\/v**(-4\/7) assuming v is positive.\nAnswer: v**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 29377917?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -t + z, 2*z - 14 = 6*t + 5*z - 26 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113552 divided by -192.\nAnswer: -7097\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021201211 (base 3) in base 13?\nAnswer: -38491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 3 = 7*r. Calculate the highest common factor of 48 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 15 = 11*c. Suppose 41 - 2 = c*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*j**2 - 10*g*j - 16*g - 2*j**2 + 1 wrt j.\nAnswer: 2*g*j - 10*g - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 2*y**4 + y**4 + (3*y**3 + 0*y**3 - 2*y**3)*(-2*y + 3*y + y) + 2*y**2 - 2*y**4 - 2*y**2 - 154 + 154 + 124*y**4.\nAnswer: 125*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4. Suppose 11*v - 8*v = -39. Let x = v - -8. Determine f(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 5*q - 8 = -11*y, -2*y + 8 = 4*q. Solve y = 20*l - 22*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c - 3. Let z be t(-4). Suppose -5*q + z = -27. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 250360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, -48, -129, -210, -291?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127174, -254348, -381522, -508696, -635870, -763044?\nAnswer: -890218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127\/3 + 42. Let n = 7 - 1. Let a = 6.3 - n. What is the third smallest value in a, w, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/12 + q**3\/6 - 2*q**2 - q - 3. Let n(c) be the first derivative of u(c). Let h be 0\/1*2\/4. What is n(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13455371 - 46?\nAnswer: 13455324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -3*a - a. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 30*c**2 - 37*c + 233. Let k be w(29). Which is smaller: -7\/211 or k?\nAnswer: -7\/211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 532225251 + -10?\nAnswer: 532225241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from eiieeiveeieiveeiveve?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus 11335?\nAnswer: 11357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 8*z - 6. Let g be i(-5). Let t = g + 6. Suppose p = 90 - t. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(162)*1 + 3 + -4)*-5)**2.\nAnswer: -1530*sqrt(2) + 4339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 + 1672*i**3 + 3*i**2 + 9732*i?\nAnswer: 12*i**2 + 10032*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-412 - 247 + 520)*(0*u + 0*u - 2*u) as i + t*u and give t.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1636299 and 893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398 + 395. Let n = 653\/20 - 133\/4. What is the biggest value in n, -6\/7, r, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1126.\nAnswer: -225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371907?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11517472 and 31844?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 330\/24. Let y = i + -7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 582, 2\/27, 1\/4.\nAnswer: 2\/27, 1\/4, 8\/3, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 - 27*w - 252. Let q be g(-6). Let z(p) = 21*p**2 + 6*p + 3. Let s be z(-1). Calculate the greatest common factor of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-45) - (-2)\/15. Suppose -5*y - 2*y + 14 = j. Suppose 0 = 2*n - y*s - 140, -n + 65 = 7*s - 3*s. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8206934, -16413876, -24620816, -32827754?\nAnswer: -41034690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/29 + -34\/145. Let f = b - 4\/55. Is f at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 q when three letters picked without replacement from {y: 1, w: 2, d: 1, v: 1, q: 1, t: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14424 divided by -1?\nAnswer: 14424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 1, 33, 93, 187, 321, 501, 733?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*y + 2)*(-26*y - 228 + 228)*(0 + 0 + 2*y).\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 319*h**3 - 4*h**2 - 7*h + 11. What are the prime factors of o(2)?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*x + 31 = 0, h + 4*x - 2 - 13 = 0. Suppose 3*a = h*a - 2*i - 34, -2*a = i - 27. What is the greatest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103387409 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3, -2\/85, 2, -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26510, 26506, 26502, 26498?\n\"Answer: -4*i + 26514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2575881, -5151768, -7727659, -10303554, -12879453, -15455356?\nAnswer: -18031263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 4\/8)\/(5\/40). Solve 7*x - b*x + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 70 = 2*n. What is the remainder when ((-30)\/3)\/((-2)\/5) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51982+-1452.49596\nAnswer: 50529.50404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496111 is divided by 5836.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 3*q + 17, -t - 4*q + 18 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 130*v + 1182. Give m(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w - 4. Let x(b) = 4*b - 3. Let s(c) = -2*a(c) + 3*x(c). Let p be s(3). Suppose 0 = 2*k - k - p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6225392, -6225392, -6225394, -6225398, -6225404, -6225412, -6225422?\n\"Answer: -k**2 + 3*k - 6225394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31274 and 2453363?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10 - 12 - 12*w to the form y*w + i and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1708113014 to the power of 1\/2, to the nearest integer?\nAnswer: 41329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 65 - 9. Suppose 380 = 4*s - 0*s. Let n = 120 - s. What is the remainder when n is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -781551895 and 4253.\nAnswer: -781547642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let y(h) = -h**3 + h + 1. Let v be y(-2). Let c = -72 - -75. Solve 4*m + v - c = 4*w, -3*w + g = -5*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**6\/45 + j**5\/30 + 6*j. What is h in v(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x**3 + x. Let z be m(-1). Let f = 1666 + -1658. Let l = f - z. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 + 2*b**3 + 5*b**2\/2 - 3*b - 2. Suppose 0 = -5*c - 4*j + 17, 4*c + j = -j + 16. Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6832852 to the power of 1\/2, to the nearest integer?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 - i**5\/60 + i**4\/12 + 7*i**3\/6 - 3*i**2. Let c be g(0). Calculate the highest common factor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1099246, -1099245, -1099244, -1099243, -1099242, -1099241?\n\"Answer: d - 1099247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/3, -13\/3 in decreasing order.\nAnswer: 0.2, -1\/3, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -19, 117, 37, 1, -4.\nAnswer: -19, -10, -4, -2, 1, 37, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1566870 - 1566891.00042. Let i = -41 + 62. Let o = i + l. What is o rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2920 is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, q: 4, h: 4, o: 3}. Give prob of sequence hv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h - 2. Determine y(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1824895, 3649787, 5474679, 7299571?\n\"Answer: 1824892*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2. Let l(b) = -b + 6787. Give o(l(j)).\nAnswer: 11*j**2 - 149314*j + 506697059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6528 - -6474. Sort -24, 2, g in increasing order.\nAnswer: g, -24, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-3 - 4 - -3). Let y = -6 - b. Differentiate y*m + 1 - 2 - 1 - 20*m wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1302 - -2547. Suppose d = -6*p + 11*p. What are the prime factors of p?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-576)\/(-320) + (-1)\/(-5))*14357?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 99*r. Let c(z) = -8*z**2. Calculate p(c(x)).\nAnswer: -128*x**4 + 792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37\/4 (b) 3\/6328 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9195442 to the power of 1\/2, to the nearest integer?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 0. Suppose -3*w - 5*z + 5 = i, w - 4*z + 5 - 1 = 0. Solve m - 4*m + 9 = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-81)*-1*(-9)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9270 - -2265?\nAnswer: -7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2)\/8*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8829313 and 0.5.\nAnswer: -4414656.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 23 = -5*t, -35 = -1142*t + 1137*t + 5*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -58. Let w = -36 + g. Suppose x = o - w*x - 13, -1 = x. Calculate the highest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 941 and 9?\nAnswer: 8469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-43)\/(-2))\/((-1)\/2). Let h = 1206 + -1247. Let l = k - h. What is the closest to 1 in -4, 8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1825.75?\nAnswer: 730.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 17*a**2 - 42*a - 35. Calculate m(21).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159394566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31062\/5 + -2298637\/370. What is the common denominator of l and 34\/37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-250)*-5)\/((-8)\/(-10))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-10 - -4) + 1 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 - 6*i - 2. Let t be w(7). Let p = 25 - t. Let y be (-4)\/p*10\/(-4). What is the second smallest value in y, 4\/7, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2057) - (sqrt(2057) + (2 + sqrt(2057) + -2*sqrt(2057))**2)))*4 - (3 + ((sqrt(2057)*1 + 1)**2 - (sqrt(2057)*-2)**2*-3)).\nAnswer: -34997 + 154*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.4 and -9.1432.\nAnswer: 58.51648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 608 + -0.556416452\nAnswer: 607.443583548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 55 = -5*x, 3*x = -2*u - 7 - 1. Let n be 1\/x*-2*9. Let i(o) = 5*o - n*o - 5*o. Let y(f) = -2*f. Give i(y(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 425 = 2*d, -4*d + w + w = -842. Find the common denominator of (0 + 0 - 1) + d\/45 and (3\/(-30))\/(9\/(-963)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 85. Calculate the remainder when 64 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 664 - 265. What is the highest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 20*n**2 - n - 6. Let h be f(20). Let w be (-7414)\/(-26) - (-4)\/h - -2. What is the greatest common factor of 41 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88938g in milligrams?\nAnswer: 1889.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1008) - (sqrt(1008) - 2*sqrt(1008))) + -5 + 5 + -4 + sqrt(63)*2)*3.\nAnswer: -60 + 450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Let b be (-1)\/(1\/9*-3). Suppose -r = 2*r - q - 2, -6 = b*r + 3*q. What is the third biggest value in r, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1181 - 0.0781. What is the fourth biggest value in -2\/3, -0.5, 4, x, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207c4 (base 14) to base 12.\nAnswer: 39434","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 35*a + 15. Let q(n) = 9*n + 4. Let w(z) = -15*q(z) + 4*t(z). Let b = 25 - -64. Let h(d) = b*d**2 - 28*d**2 - 31*d**2 - 32*d**2. Determine h(w(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2022, 4049, 6078, 8109, 10142, 12177, 14214?\nAnswer: 16253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*u + 52, 101 = 4*t - 3*u - 0*u. Suppose -11 = 4*n - t. Solve 2 - 5 = 2*v - x, -n*v - x + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b9 - -add26?\nAnswer: adde0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 14 - 1\/(-2)*(-28)\/(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6) - 1)*-4. Suppose a + 5*x - 55 = 0, 3*a - 6*a + 235 = x. Suppose -18 + a = h*v. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1203 + 211?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4972444.4 - 4972444.08000001. Let d = a + -0.32. What is d rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5301503721 to the power of 1\/2, to the nearest integer?\nAnswer: 72811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17950*y - 1256779. Determine z(-70).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let p = -228\/1141 + -14\/163. Sort 2, -0.5, y, p in decreasing order.\nAnswer: 2, y, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c7545 (base 14) to base 10\nAnswer: 1019065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/19)\/(r\/(r\/(r\/(r*(r\/(r**(3\/5)\/r)*r)\/r*r))))*((r**(-2\/7)*r*r)\/r*r)**(-4\/11) assuming r is positive.\nAnswer: r**(12226\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 4*u, -3*n = -4*u - 7*n - 4. Which is the fourth smallest value? (a) 3 (b) -0.029 (c) -0.2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324*f**4 + 15*f - 4*f**2 + 5*f + 0*f**2 + 3*f**2 wrt f?\nAnswer: 3888*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245902 greater than 38950811\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-44))\/w*w**26 assuming w is positive.\nAnswer: w**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o**1)**(-14))**(-47) assuming o is positive.\nAnswer: o**658","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 + 5*o**2. Let v(q) = q**3 + 7*q**2 - 9*q - 3. Let m be v(-8). Let k(c) = -7*c**3 + m*c**2 - 69 + 69 + c**2. Calculate 5*i(j) - 4*k(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3656331 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 6, -2\/309?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*o + 8 = 0, 4 = 4*w - 2*o - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 - 11*g**3 + 25*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 253 + 2. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.9 in -1, -5\/3, 13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*(-4 - -25). Let r = q + -10. Suppose -4*s = -0*s - 8. Solve r = s*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*k + 40. Suppose 5*m = 26 + k. Let j = -13 + m. Sort -2, j, 0.1 in decreasing order.\nAnswer: 0.1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*o**3 + 843*o**3 + 1084*o**3 + 483*o**3.\nAnswer: 2129*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279646.\nAnswer: 2, 37, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-40)*(-11 + (3 - 2\/1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 4*p**2 - p**2)*(p + 5*p - 4*p) - 45*p + 89*p + 4*p**3 - 46*p.\nAnswer: -14*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 357734 + 240196 = 0. List the prime factors of p.\nAnswer: 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**4\/8 + h**3\/2 + 3*h**2 - 10. Let b(c) be the second derivative of r(c). What are the prime factors of b(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 - 21*k - 30. What is i(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126374 - -75?\nAnswer: -126288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 216, -0.77, 5, 2, 0.5, -1?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853 - 31*i**2 + 851 - 1704.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4253 - 3.\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 73. Let h(t) = 4485*t. What is b(h(f))?\nAnswer: 13455*f + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 13*u**2 + 16*u - 29. Give p(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 q when three letters picked without replacement from lwqjf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4 - 4*m + 2*m**4 + 39*m**3 - 39*m**3 - 1. Differentiate p(r) with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 509. Let w(i) = 49*i**2. Calculate w(r(m)).\nAnswer: 441*m**2 - 149646*m + 12694969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - c + 6*c)*(106*c - 106*c + 98*c**2 + (-2 + 3 + 0)*(-3*c**2 + 0*c**2 + c**2)).\nAnswer: 96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 497580897204 - 0.02?\nAnswer: 497580897203.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*36\/8. Let x = b + -4. Sort 4\/7, x, -3 in ascending order.\nAnswer: -3, 4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8647.84s to microseconds.\nAnswer: 8647840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + d**2 + 222*d - 224. What is g(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:37 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631816060 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/20 + 11*c**4\/12 - 5*c**3\/3 - 3*c**2 - 321*c. Calculate a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1958406, 1958255, 1958104?\nAnswer: 1957953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366 = -77*g + 2785 + 3586 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**(-45)\/(x**0)**(6\/31) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 2\/7 (c) 2 (d) 1\/2 (e) 107\/42 (f) 0 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v + 37156*v**2 - 37157*v**2 + 2*v**4 + 12 + 2*v**3 + 19 to o*v + a*v**4 + h*v**2 + l*v**3 + j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5222 (base 7) in base 2?\nAnswer: 11100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 8*q**3\/5 + 24*q**2\/5 + 32*q\/5 + 16\/5.\nAnswer: (q + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -19*k**2\/2 + k + 5. Suppose -2*j = 2*j - 2*f - 146, 4*f = 4*j - 140. What is the remainder when j is divided by l(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 7 - 21 = 0. Do -4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + o - 9. Calculate the remainder when y(6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2960?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {k: 1, c: 2, r: 3, j: 4, z: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*q**3 + 48*q**3 - 74*q**3)*(58*q + 22*q - 2*q + 29*q - 6*q) as c*q**4 + b*q**3 + l*q + k + x*q**2 and give c.\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 48, -54914, 1 in ascending order.\nAnswer: -54914, -5, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 209*m - 205*m + 148, 0 = -4*q + 4 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799338302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64971724 to the power of 1\/2, to the nearest integer?\nAnswer: 8061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.99 + 125.71. Let i = 128 - w. Let d = i + 7.7. Which is the closest to -0.1? (a) -0.08 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 8. Let w be c(7). Let i be 5 + 0 + w + 3. Suppose o - i*o = -149. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**4 - f**2 - f + 1. Let b(n) = -11*n**4 - 55*n**3 + 66*n**2 + 6*n - 6. Let w(d) = -b(d) - 6*l(d). Factor w(z).\nAnswer: 5*z**2*(z - 1)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80407*-30\nAnswer: -2412210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 39 - 7*m**2 - m**2 - 21 - 17 in the form s*m + v*m**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/4)\/(15\/(-20)*26\/(-351)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - t - 2 = 0, 3*n + 2*t - 6*t + 5 = 0. Let h be 84 - (1 - -1)*n. Suppose 4*s - 46 = 2*a, 5*s = 2*a - 23 + h. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1415, 5671, 12765, 22697, 35467, 51075, 69521?\n\"Answer: 1419*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 3. Let j(w) = w**2 + 9*w + 13. Let t be j(-9). Let x = -30 + 36. Let q(f) = 4*f - 6. What is t*b(c) + x*q(c)?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**3*u**3*w**3 - 7*q**3*u**3*w - 8*q**2*u**3*w - q**2*u*w**3 - q*u**3*w wrt q?\nAnswer: -24*u**3*w**3 - 42*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 2 = -15*l. Solve 2*b + 0*v = v + l, -3*v + 4 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*q - 12, -3*q + q + 2 = r. Let f(o) = o**3 - 5*o**2 + o + 2. Let c be f(2). Let m be 90\/(-4)*c\/6. What is the highest common divisor of m and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2. Let f(o) = 5*o - 1 - 4*o + 1. Calculate f(z(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68587 + 81382. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/3079 + 184726\/21553. Are m and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -651c21 (base 15) to base 2\nAnswer: -10010010111101001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x + l + 4 = -8*x, 4*x - 3*l - 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let r be m(6). Let t = -7 - -9. Suppose -f - t*f = 6. Put f, -5, r in decreasing order.\nAnswer: r, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 3196\/71?\nAnswer: 3196\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*-1) + 1*sqrt(20)*2)\/(sqrt(490)*3*5).\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-4)\/(-1))\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 2 - 7 + 1 - 3. Let r(h) = 3*h**2 + 5*h. Let k be r(-4). Suppose 6*m + 29 = 3*m + v, -k = 2*m - 5*v. Determine p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*l*w - 6773*i**3*w + i**2*l*w - 2*i*l*w - 31*i*w - 41*l*w wrt i.\nAnswer: 6*i*l*w - 40638*i*w + 2*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5914399 and 190943.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501721.\nAnswer: 11, 17, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/l**(-17\/5)*(l*l**31*l)\/(l**5\/l*l) assuming l is positive.\nAnswer: l**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 772*u + 28. Let s be p(27). Suppose -o - 7*o = -s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 46*j**2 + 41*j - 31. Let n(k) = 16*k**2 + 14*k - 11. What is -17*n(d) + 6*v(d)?\nAnswer: 4*d**2 + 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358086?\nAnswer: 2, 619, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(600)\/sqrt(8)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 10\/3*q**4 + 25*q**2 + 85\/6*q**3 + 0 + 1\/4*q**5 - 5*q. Factor d(f).\nAnswer: 5*(f + 1)*(f + 2)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 107. Suppose 2097 = -p*d + 20*d. What are the prime factors of d?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3313348 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 24*k + 25. Let a(q) = -36*q - 37. Let y(d) = -5*a(d) - 8*f(d). Let c(v) = -v - 1. Suppose -2*b - 76 = -106. What is b*c(n) - y(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = -3*u, -2*u = -2*p - 7 + 1. Let a(q) = -q**2 + 2*q - 3. Let y be a(p). Put 4, y, -5 in increasing order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-495)\/132*(-24)\/(-20). Which is the third biggest value? (a) 0.3 (b) 0.16 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 60*r - 16 + 7 + (-2*r + 0*r + r)*(2 + 1 - 2).\nAnswer: -61*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -6)*4 - -61. Suppose -z*t + 51*t - 636 = 0. Which is smaller: -108 or t?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375366506 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067 = 9*y - 652. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, w: 1, t: 2, q: 1, h: 1}. What is prob of picking 1 s, 1 t, and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/33 + -80\/231. Let u = -29.7 - -30. What is the nearest to 0.1 in u, -3, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 20?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(700) + (sqrt(700) - (2 + (sqrt(700) - (1 + sqrt(700)))))**2)*4.\nAnswer: -11216 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + c - 6*c - 14 - 3*c.\nAnswer: -21*c - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-126)*14\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 5. Let o be a(-5). Suppose 4*x + x + 21 = -2*l, -5*x = 25. Calculate the least common multiple of ((-8)\/10)\/(2\/o) and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4436 - 4232. What is the remainder when q is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwngwwnwwg. Give prob of sequence wwnn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 20 = 2*p. Calculate the lowest common multiple of 13 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 26*b**2 + 100)*(-5 + 2 + 0)*(0*b + 3*b - 4*b)*(-4 - 1 + 0).\nAnswer: -390*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 62*s + 379. Determine n(-7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063609 greater than 1063608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m + 26. Let f be a(-6). Is 20 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, -6 in decreasing order.\nAnswer: 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.67 - 0.17. Let j = 0.14 + -0.44. Let a = j + u. What is the third smallest value in -5, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/2 - 51*l**2\/2 - 1322*l + 4182 = 0.\nAnswer: -34, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56, -177, -378, -659?\n\"Answer: -40*d**2 - d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q*q*q**(5\/11)*q*q)\/q*q)*q)\/q*(((q\/(q*q**(-7\/4)))\/q)\/q)\/q)**(-17) assuming q is positive.\nAnswer: q**(4267\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6*p - 104. Let u = -51 + p. Solve -4*d - 9 + u = -5*b, 5*d = b + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -454 + 469. Suppose 5*c + g = 3115, 2*g - j = 5*g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/292246 and 19\/518.\nAnswer: 75691714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 46\/(-42)) + (-33)\/(20790\/(-2040))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 9. Let l be s(4). Solve 4*g - 5 = -a + 6, l*g - 14 = 5*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.991867 * 11\nAnswer: -230.910537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k + 502654 = -3011857. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + x**4\/6 - x**3\/6 + x**2. What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 2. Determine a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {f: 2, i: 9, p: 7}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 21. Let i be s(3). Is 81\/((-12)\/(-4)) - (i + -1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17584869.2 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 0.3 (c) 0.28 (d) -14 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggp. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.092533 * -2\nAnswer: 0.185066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38285 and 13.87.\nAnswer: 5.3101295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 take away 1.2?\nAnswer: -93.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(4\/5)\/(m**(-2\/3))**(8\/3))**32 assuming m is positive.\nAnswer: m**(3712\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/143 - (-398)\/11. Let y be 36184\/c - (-1)\/(-9). Suppose -59*p + 54*p = -y. List the prime factors of p.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 4495.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let c(y) = 1041*y**2. What is h(c(r))?\nAnswer: -1083681*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 19. Suppose 3*i - 15 = -3. Let j be (-42 + 2)*i\/r. Solve 0*h = -4*h + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1895*1\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432339703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**2 + 61*b + 87. Give t(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-767)\/13 - 4\/1. Let j be (-5220)\/d - (-1)\/7. Suppose -v = 2*s - 2*v - j, 4*s = -5*v + 145. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - b)*(271*b + 257 - 257) + (3*b - b - b)*(b - 4 + 4).\nAnswer: -270*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + 107 + -101?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2862 + 2862.06142. Let s = 1.862 + -1.8. Let o = w - s. Round o to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43804, 43987, 44286, 44695, 45208, 45819?\n\"Answer: -g**3 + 64*g**2 - 2*g + 43743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2451323627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -44*l**2 - 5*l - 15. Let q(s) = 18*s**2 + 2*s + 6. Let j(y) = -2*b(y) - 5*q(y). Let p(z) = -28369*z. Calculate j(p(f)).\nAnswer: -1609600322*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 284\/1653 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 - -212. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:24 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-9 - -18) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, -2\/121, 0.4 in ascending order.\nAnswer: -4\/15, -2\/121, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - 10622\/24. Let o = y + 415. Let d = -27 - o. Which is the biggest value? (a) -0.2 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5172894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/11))**(-11\/5) assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678837733.\nAnswer: 7, 127, 763597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2039193mg in micrograms?\nAnswer: 203.9193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 1.4 (c) -14 (d) 3 (e) -0.01 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 4. Let h(a) be the second derivative of a**3\/6 + a**2\/2 - 2*a. Let g = -1641 - -1640. Determine g*c(d) + 2*h(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0359 - 7811.591.\nAnswer: -7811.5551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5339100.9 hours to weeks.\nAnswer: 31780.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 6. Let u be x(2). Suppose 2*f - 6*h - 734 = -u*h, 4*h = f - 361. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 w when three letters picked without replacement from wyscyycywdwyj?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 7791834702*r + 7791834702*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045104 minus -0.617?\nAnswer: 0.662104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/(-84) + -2 - (-45)\/5.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 4*v**3 - v - 38*v**2 + 43*v**2 - 20*v**2 as z + s*v**2 + o*v**3 + n*v and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, 30, 192, 532, 1110?\n\"Answer: 10*i**3 - i**2 - 23*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 2, w: 2, f: 2, z: 2, g: 4}. What is prob of sequence zfzw?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -177779 divided by -6?\nAnswer: 177779\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 50*v - 1274. Let t be r(35). Calculate the greatest common divisor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l - 3. Suppose -5 - 1 = -2*q. Suppose -7 = -q*h + 2*v, 0*h - 11 = -2*h - 5*v. Let w be f(h). Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/4*((-675)\/50)\/(-27).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 193371?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:12 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.79095556 and 1068.\nAnswer: 1062.20904444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - (1 + -1)) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4. Suppose -t*j = -4, 3*p + 3*j = p. Is -26\/9 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-1 + 2 - 2)*(-4 + 2 + 4) + (-2 - 5 + 5)*(-1 + 1 - 2) - 4 + 1 + 2)*(4*o + o - 4*o)*(28*o - 28*o - 14*o**4).\nAnswer: -98*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3071433 greater than -3071470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a37 (base 15) to base 10.\nAnswer: -52927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 61*q. Suppose -4 + 4 = -5*y. Suppose 2*k - 2 = y, 3*a - 5*k = 8 + 20. Is s(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 - -0.08. Which is the third smallest value? (a) -1 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2 - 10. Let g(r) = r**3 + 17*r**2 + 18*r + 13. Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.17, 25, -2, 5.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 536 = -y - 2*l, 5*y + 3*l + 2693 = 0. Let h = y + 1245. What are the prime factors of h?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5\/2 - 1895*s**4 + 936455*s**3\/2 - 34913205*s**2 - 695427390*s + 729874260 = 0.\nAnswer: -17, 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1 + p - 2 + 8*p. Let b = 18 + -13. Let k(c) = -4*c + 1. Give b*k(x) + 2*f(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122.6 - -123. Let n be (-8)\/(-30) - (-6)\/15. What is the nearest to -0.1 in n, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 1, g: 1, y: 2}. What is prob of sequence ygo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**3 + 10*b**4 + 7*b**3)*(-24 + 5*b - b - 2*b - 2*b + 4*b - b + (0*b - b - b)*(3 - 5 + 0)).\nAnswer: 70*b**5 - 240*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a + 6*a + 8392 + 2618*a**2 - 8392 + (1 - 2*a - 1)*(1 + 2*a - 1).\nAnswer: 2614*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 7*b**2 + 7*b + 10. Let f be k(-6). Let d = -0.281 - 48.719. What is the third smallest value in f, d, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 29*q**2 - 65*q + 719. Calculate m(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690 divided by 446?\nAnswer: 2845\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010011000 + -101?\nAnswer: 1100010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 131*q**2 - 17*q + 3. Let n(s) = 149*s**2 - 20*s + 3. Determine -6*h(f) + 5*n(f).\nAnswer: -41*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*l = -222*l + 996. Sort 1, -3, 5, l, -1 in decreasing order.\nAnswer: l, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2*v**2 - 2*v + 6. Differentiate u(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c - -1ca?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 10642*f - 652107. Determine q(-62).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 - -0.02. Let f be 1\/1*(33 - 33). Let j be 1\/4*72\/30. What is the biggest value in j, a, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 42 - 43)*(0 - 1 - 2)*(-2*u - 2*u**2 + 2*u).\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 11977204*l\/5 + 17931676957202\/5.\nAnswer: 2*(l - 2994301)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 - v**3 - 2*v**3)*(18 - 6 + 7) + v + 0*v**3 - 26 + 27 + v**3 as k*v**3 + t*v**2 + d + i*v and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3862971 + 4*i - 5*i - 3862971. Let j(u) = -5*u**2 + 2*u. Determine -4*h(y) + j(y).\nAnswer: -5*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2691086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1697*u + 1 - 30 + 29 + (u + 5 - 5)*(4 - 1 - 4).\nAnswer: 1696*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(36))\/sqrt(2))\/(6*(sqrt(36)\/sqrt(4) + sqrt(9)))*-4.\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5 + 23765*c**4 + 141181923*c**3 - 141205689*c**2 = 0. What is c?\nAnswer: -11883, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014259 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 82*z**2 - 8*z + 208. Let m be t(-82). What is the highest common divisor of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2990.1975 months to centuries.\nAnswer: 2.49183125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165121*o + 2*w - 37 = -165116*o, -5*o + 3*w - 33 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 365671000 to the nearest one million.\nAnswer: 366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 10*w**2. Let i be s(10). Suppose 3*q = -i*q + 54. Solve 4*y - 3*x - x = 24, 4*y - q = x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or -385?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-6)*(-2 - (-1 - 4)). Let r(g) = -g**2 - 3*g + 28. Let c be r(x). Suppose -3*z + 9 = c, 1 = y - z - 0*z. Solve t = -l, 4*t - y*l = -7*l - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 9*v + 15. Let n be a(4). Let c(y) = -5*y + 6. Let i(s) = -9*s + 11. Determine n*i(p) - 5*c(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.4, 45539, 2\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 4*d**2 + 4*d + 5. Let f be l(-3). Let t(i) = 5*i**f - 1 - 12*i**3 + 7*i - 4 + 11*i**3. Does 10 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43253 + 43417. Calculate the remainder when i is divided by 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 11*w**3\/3 + 19*w**2. What is the lowest common multiple of 10 and h(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -346465\nAnswer: -9\/346465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/((-12)\/(-2)) - (54\/(-2))\/9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 4*t**2 + t**3)*(-76 + 38 + 2).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -402, -5, -1, 3 in descending order.\nAnswer: 3, -1, -2, -5, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Which is the closest to -0.3? (a) 1\/8 (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51640599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 1545.\nAnswer: 6\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.85 + 6. Suppose -17*l - 16 = -21*l + 4*z, l + 16 = -4*z. Is i bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -19*y**3 - 21*y**2 + 2*y - 32. What is the remainder when d(-5) is divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 4*c**3 + c + 396 + 401 + 2*c**2 - 796. Suppose 3*i = -a - 2 - 2, -2 = a + 2*i. What is y(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*p**4 + b**2*p + 4*b**2 - 65*p**5 - 15*p wrt p.\nAnswer: -12*b**2*p**2 - 1300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -0.0176\nAnswer: -0.02464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109374 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -6.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.3, -2\/19, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Let u be (357\/6)\/17*4\/14. Sort 3, 2, x, u in increasing order.\nAnswer: u, 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 794402 and 6657.\nAnswer: 2383206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 3. Let i = 0.1 + x. Let a = -4 - -3.5. What is the second smallest value in i, 3\/2, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012686974 to five dps.\nAnswer: -0.01269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 1 - 1 + (5*v - 2*v + 8*v)*(0*v**2 - 5*v**2 + 4*v**2) + 12*v**3 + 2*v**3 + 7*v**3 in the form g*v**3 + y*v**2 + p + j*v and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c04 (base 16) to base 2.\nAnswer: 110110000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25101284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - -12) - (-110 + 89)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 302, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -631 - -314. Let b = -310 - t. Put -4, b, -2\/13 in decreasing order.\nAnswer: b, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150*j + 784*j - 266349 = -1480*j - 4553*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29223927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 97 = w - 61, 116*w + 264 = 2*m - m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31*o**3 + o**2 + 458*o + 925. What is h(-2)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/11 + 6*c**2\/11 - 4*c\/11 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:04 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let b(z) = 3362*z. Calculate b(g(y)).\nAnswer: 6724*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brwj when four letters picked without replacement from jwbrbwwzwyzyw?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -5555.\nAnswer: -5555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690856?\nAnswer: 2, 241, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 3*l - 5*l + 1 + l. Let v(y) = -y**2 - 2*y + 7. Let u(c) = -3*i(c) + v(c). Suppose 0 - 3 = k. Determine u(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -1)\/(7 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*m - 59 + 59)*(-1 + 5 - 3) + (1209 - 1209 - 275*m)*(2 + 1 + 2) as a + y*m and give y.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50539.\nAnswer: 50539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 5:41 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = -3, 5*u - 4*p - 22 = 0. Solve 2*o**2 + 2*o**u + o**2 - o**2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 14*w**2 + 21*w - 32. Suppose -44 = 11*u + 88. Let i be g(u). Solve 0*q = -i*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeekekredndenqnkd. What is prob of picking 2 d, 1 r, and 1 e?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81630, 81617, 81590, 81543, 81470, 81365, 81222?\n\"Answer: -k**3 - k**2 - 3*k + 81635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/8 + 9\/40. Which is the nearest to x? (a) -0.7 (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 76 - 13) + 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 299019, 598282, 897545, 1196808, 1496071?\n\"Answer: 299263*z - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -12.99999. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -22)\/(-4)*((-698)\/60 + 2\/(-12)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -v + 4, -3*l - 14 = -2. Let k be 3 + v\/4234*-1270 + 3. Let g = k + 105844\/6351. Which is smaller: g or 17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + t - 20)*(-2*t + 4*t - 4*t - 2).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131004512 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12854021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3411654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362.1*-8.\nAnswer: -2896.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((114\/133)\/6)\/(((-1375)\/10)\/11)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 386929396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-2)\/(-2)*5\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/21)\/j)\/j)**(2\/67) assuming j is positive.\nAnswer: j**(-80\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 121*x**2 + 6*x**2 + 234*x**2 - 119*x**2 + 2.\nAnswer: x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/24*-18 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let z be (4\/(-3) + 2)\/((-24)\/(-468)). Let j be w\/(-4 - (-50)\/z). Solve -l - j = 4*i, 5*i + 3*l + 9 = -2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:39 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 7.6, -4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufbb when four letters picked without replacement from {f: 1, u: 5, c: 3, b: 6}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43055316 and 168.\nAnswer: 602774424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*p + 2*p = 27, 3*q - 11 = 4*p. Solve m - 5 = -q*t, -4*m + t = -3*t - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - -1 - 4 - (-9)\/3. What is the derivative of 12*w - 18 - k*w + 4*w wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56858652?\nAnswer: 2, 3, 83, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28796*95.\nAnswer: -2735620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 + 23639176*m + 23639175 = 0.\nAnswer: -23639175, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 79. Give x(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 z, and 1 w when four letters picked without replacement from {e: 5, z: 3, b: 1, x: 1, w: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3487*p**5*r + 2*p*r - 3*p - 2*r wrt p?\nAnswer: -69740*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -58, -145, -276, -457, -694, -993, -1360?\n\"Answer: -q**3 - 13*q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 40 = l - 2*l, 5*d = -3*l + 89. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435293?\nAnswer: 211, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-153)\/54) - 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(68))*5 + (sqrt(68)*1)**2 + 0)*-5.\nAnswer: -2340 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2 and 34\/47?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069.46 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56470 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 37 - 37. Solve -4*a + 6*a = -3*s + 12, o = 2*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/112)\/(3\/(-2))*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17877 - -48929. Let k = -66721.953 + q. Let u = k - 84. Round u to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 150*v + 186. Let s(d) = -37*d - 47. Determine 3*k(j) + 11*s(j).\nAnswer: 43*j + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5926, 5811, 5668, 5491, 5274?\nAnswer: 5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*j + 5*d, 4*j - d - 2 = -0*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84469 and 100331.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2242, -2244, -2254, -2278, -2322, -2392?\n\"Answer: -j**3 + 2*j**2 - j - 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 9*n**4\/7 - 894*n**3\/7 - 1509*n**2\/7 - 606*n\/7 = 0.\nAnswer: -1, -2\/3, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d4b (base 15) in base 13?\nAnswer: 9077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*(x\/(x**(-5)*x))\/x)\/(x*x**10) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 276, 286, 292, 288, 268?\n\"Answer: -b**3 + 4*b**2 + 5*b + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 8*b + b + 0*b - b + 0*b + b - 5*b + 2*b + 5*b - 2*b - 2*b + 2*b - 6*b + 2*b + (-2 + 0 + 0)*(4*b - 3*b + 0*b) + b - 4*b + 4*b)*(8*b - 4*b + 0*b).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170\/11 + -757\/44. What is the nearest to -1 in 0, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a - 20. Let m be ((-16)\/(-10))\/(a\/60). Calculate the highest common factor of 204 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) - sqrt(70)*1)*6 - sqrt(70)) + sqrt(70) + (sqrt(70)*2 - sqrt(70))*-2)\/((sqrt(160) - sqrt(160)*-1)*5).\nAnswer: -sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -5002213?\nAnswer: 5002311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 6.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 726638 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -11\/12*s**4 + 0*s**5 - 3\/10*s**6 + 12 + 43\/6*s**3 - 8*s + 0*s**2. What is the second derivative of q(c) wrt c?\nAnswer: -108*c**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*q**3 - 797*k**2*q**2*x - 905*k*q - q**3*x - q*x wrt k?\nAnswer: -4*q**3 - 1594*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 1. Let k(a) be the first derivative of -62 + 1\/4*a**4 - a + 0*a**3 - 3\/2*a**2. Calculate -3*b(i) + k(i).\nAnswer: i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3696536*h**4 + 6331*h**2 - 7*h - 12?\nAnswer: 88716864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*l + 12, 0*z = 2*z - 3*l - 21. Suppose -z*b = 6*b - 16140. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18520552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 4. Let b(c) = 4*c - 5. Let x be 41\/3 - (-2)\/(-3). Suppose 2*s + 0*s = 5*g + x, 0 = -g + s - 2. What is g*j(f) - 2*b(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*r + 6*h = -265*r + 38, 15 = 5*r + 5*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-1501 + 1501 + 24*b**2)*(32 - 20 - 13).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (7 + 12 - 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*f - 94*f - 88*f - 89*f + 2*f**2 - 65*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92967 - 50974. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -315*o - 360. Let y(b) = -35*b - 40. Let k(i) = -55*y(i) + 6*z(i). Let r(q) = -q - 1. Let u(s) = 3*k(s) + 120*r(s). What is the tens digit of u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + (-5)\/(-125))\/((-6)\/(-365)) and -22\/57?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13210233 + -1011030?\nAnswer: 12133203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39244 is divided by 110.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 20 = -2*x, 2*v - 58*x = -55*x for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 12. Let u be h(3). What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(75\/(-10))*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s + 5*s)*(4 - 3 + 1).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 + 42234?\nAnswer: 42012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = 11 - 83. Solve -5*q = -a*u + 3, 2*q - 1 = 2*u - 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 635 by -92.\nAnswer: -635\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 16421*w + 32854*w - 16409*w - 63*w**3 to v*w**2 + n + g*w**3 + b*w and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 15658907.2.\nAnswer: 15658948.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45155 - 45155.4. What is the nearest to 1\/6 in 0, -126, 2\/7, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 61*j**2 - 3104*j + 14. Let b be w(51). What is the greatest common factor of 9699 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*d**2*x**3 + 2*d**2*x**2 + 2*d*x**2 + 4*x**5 - 73*x**2 wrt x.\nAnswer: -450*d**2 + 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 1 + 3 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-2772))\/((28\/24)\/(-7)))\/((-291)\/(-2716)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -386045 and -0.008.\nAnswer: 3088.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from bhbbbbbbkbklhb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.558 - 1.058. Sort -5, -0.5, r, -0.02, -0.671 in descending order.\nAnswer: r, -0.02, -0.5, -0.671, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*x - 20. Let r = 35 - x. What is the lowest common multiple of r and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62390 and 27574?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25860 + -3439370\/133. What is the common denominator of 46\/63 and k?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**4 - 2*w**3 + w. Let a(b) = 756*b**4 + 8*b**3 - 969*b**2 - 5*b. Let f(n) = a(n) + 4*g(n). Find the third derivative of f(k) wrt k.\nAnswer: 18240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 378878 * 0.1.\nAnswer: 37887.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.355 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11085800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4*25\/(-15). Let y = -0.875 + 0.375. What is the nearest to y in 4, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26, 2\/3, 0, -0.3, 0.5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 2*y)*(0 - 8 - 2)*(-2 + 1 - 1 + (-1 - 1 + 0)*(0 - 2 + 4) - 2 - 2 + 5).\nAnswer: 100*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 1. Suppose -d - h = -2*d. Solve t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*d = -126. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.079950714 rounded to five dps?\nAnswer: -1.07995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/3 + 1250*d + 594944\/3 = 0. Calculate d.\nAnswer: -3584, -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7)\/(-5 - -4) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89405, 364979, 824269, 1467275, 2293997, 3304435, 4498589?\n\"Answer: 91858*j**2 - 2453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 8*m + 5. Let d be k(-8). Find the third derivative of d*l**3 + 0*l**2 + 3*l**2 - 2*l**2 - 4*l**3 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or -25522548.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101001110101101110 (base 2) to base 10\nAnswer: 171374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58096905 and 411.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2.8 (b) -0.11 (c) -3 (d) 1\/8 (e) -2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352 + 352.108. What is the smallest value in -1, -1\/2, 3\/5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3005 not equal to -3012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -1, -4, -40, 9 in increasing order.\nAnswer: -40, -8, -4, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -394 + 378. Let c be (153\/(-24) - -11) + (-6)\/g. Let o(j) = -j - 1. Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 5*x**4\/8 - 5*x**3\/2 + 2*x**2 + 84*x - 5. Let l(h) = -1. What is -18*l(u) + w(u)?\nAnswer: 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8.2. Let w = -2.2 + z. What is the closest to w in -1\/4, 3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 618*y**2 - 8 + 273*y**2 + 0 + 7. Let j be g(-1). What is the units digit of j\/25 - (-6)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 9. Let l be z(-6). Let a = l + 2. Suppose -17 = -a*w - 2. Solve 0*c = 3*c + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1187, -1185, -1183, -1181, -1179, -1177?\n\"Answer: 2*w - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i*i**(-5\/3)\/i)**(36\/5))**35 assuming i is positive.\nAnswer: i**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 154847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:41 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -72204723 - -258?\nAnswer: -72204465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4849*x - 3 + 8 - 34646*x)*(1 + 3*x - 3 - 1) in the form y + d*x**2 + n*x and give n.\nAnswer: 89391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -52\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -1 - 1 - (-134 + 177 + -47)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 4\/(20\/(-65)). Let m be 1*-1*(-22)\/p. Solve -5*l = -15, -r - 2*l + 2 = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + i. Suppose 5*o = o - 3*s - 7, 5*o + 2 = 3*s. What is a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 284 = -4*m + 2*k, 0 = 2*m + k - 148. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52737797?\nAnswer: 7, 109, 69119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363422 + 385289. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czybzy. What is prob of sequence yzb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 744 - 5*h**3 - 744 - 6*h to the form g*h**3 + z*h**2 + n*h + o and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -8*i - 66 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 2, j: 4, x: 2, f: 1, i: 7, t: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*s**2 + 51*s**2 - 121*s**2 - 113*s**2.\nAnswer: -321*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432501, 432501, 432511, 432537, 432585?\nAnswer: 432661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 28*u + 114. Suppose -5*l + 8 = t - l, -2*t + 27 = -3*l. What is the remainder when s(-4) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48925259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 8*y**2 - 10*y - 3. Suppose 1 = 5*q - 9. Suppose u = -q*u - 21. Does 9 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 308.6606ml?\nAnswer: 0.3086606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -23. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 385, 991, 1593, 2191?\n\"Answer: -2*q**2 + 612*q - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 770736 times -76\nAnswer: -58575936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*b**6 - 7*b**4*g**3 + 113*b**3 + 60*b**2*g**2 - b**2*g + 12*g**3 + 13*g**2 wrt b?\nAnswer: 3000*b**3 - 168*b*g**3 + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttrtrrrtrrtrrtrtrr. Give prob of sequence ttrr.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (2 + -10 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 10. Let k be h(3). Find m such that 5*m - m**2 + 4*m - 5*m - k*m**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1618 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24358 + -243579\/10. What is the nearest to 0 in -10, -1\/4, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104425 (base 7) to base 6.\nAnswer: -221054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + (1 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34968 + -71520. Let q = k + 19552. Round q to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.2 (c) -4 (d) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -5 = -u*h + 7. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**2 + 20 + 2*f - 6 - 17*f**2 + f - f - 2*f**2 + (f + 3*f - 2*f)*(-4*f - 2*f + 4*f) + 3*f - 2*f**2 - 3*f - 2*f**2 + 0*f + 0*f.\nAnswer: -11*f**2 + 2*f + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 39*b - 1. Let s be a(-1). Let v = -14219 - -14177. Which is greater: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 7*v - 36. Let u(g) = g**3 - 6*g**2 + 5*g + 2. Let l be u(v). Calculate the greatest common divisor of 96 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-46))\/((-597)\/13731).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35 - (-9)\/(27\/12). Let n = a - 5. 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: Suppose 0 = -m + 3, -3*z + 3 + 3 = -3*m. Solve 0 = -0*w + z*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306656 divided by 259\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/12 + 2*u**3\/3 + u**2 + 2*u. Let c be f(-3). Calculate the remainder when 7 is divided by ((-12)\/16)\/(c\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 113*r**2 - 97*r + 4349. Is t(96) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-38\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:20 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 25*c**3 + 2*c + 88*c**3 - 32*c**3 - 28*c**3 - 3 to the form p*c**2 + d*c + x*c**3 + y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((15 - 8) + 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36982 and 5863?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212 - -66. Calculate the remainder when w is divided by 68.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.5 (b) -137 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30732 is divided by 389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2 and 137\/7542.\nAnswer: 7542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*z - 36 + 134 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16389\/2 - -8193. Which is the third smallest value? (a) x (b) -0.4 (c) 0.3 (d) 3 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 136?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*59570.\nAnswer: 297850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 47634732*r - 283633461588978.\nAnswer: -2*(r + 11908683)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/31*(6\/(-3) - -1)*1. Solve 0 = -5*r - c*n + 18, 21*r - 4*n + 16 = 26*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 34*h**2 + 148*h - 145. What is w(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-254)\/2413 - 1450\/(-11970).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9 + 2)*(-1743*u**5 - 42*u**2 + 1744*u**5 + 47*u**2 - 32).\nAnswer: -6*u**5 - 30*u**2 + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 5*o**2 + 3*o + 1. Suppose -v - 7*a = -58, -290 = -6*v + v + a. Calculate the remainder when v is divided by q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/3))**(-39))**(1\/12)\/((x\/(x*(x**(1\/2)*x)\/x))\/x**(-2))**(-11) assuming x is positive.\nAnswer: x**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -5*z. What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 14*p**2 - 258*p + 258*p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + -3 - -1)*(-1)\/4. Let y = 20 + p. 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 j = -0.082 + 0.182. What is the third biggest value in 5, 1, j, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 70. Suppose -3*w + 5*a - a = -4, -2*w - 2*a - 2 = 0. Solve w*o - 6 = c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 271a?\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*13)\/((-85)\/(-87) - 3480\/(-151380))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x*x*x*x)**(-38)\/(((x*x**(1\/13)*x)\/x)\/x**(-2)) assuming x is positive.\nAnswer: x**(-2510\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/5075?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 0*h**2 - 4*h**2)*(3 + h**2 - 3) + 27*h - 27*h + 4*h**4 to the form f + t*h**4 + a*h**2 + g*h + r*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22776.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63742 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/d)**(2\/23))**(3\/17) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 0*o**3 + 4*o**3 - 4 + 4 - 2*o**3 + (o - 5*o + o)*(-2*o**2 + 3*o**2 - 2*o**2) + 2 + 2*o**3 - 2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*c - 615*c + 92 = 5*l, 64*l = 4*c + 1148 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -1724, -1671, -1618?\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g - 25. Let w(b) = -11*b + 12. Let c(l) = -7*w(l) - 4*z(l). What is c(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52*3 - (-15)\/(-5). Suppose -t = 5*o - 19 - f, -o - 2*t = -38. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-10) + (-16)\/5. Suppose -4*a = -4*r - 36, 16 = -4*r + 8*a - 9*a. What is the nearest to 1 in i, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 2180532*n**4 - 2180505*n**3 + 17444268*n**2 + 26166348*n = 0. What is n?\nAnswer: -726843, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90 - 53 + 4485*j - 4466*j + 5*j**2 wrt j.\nAnswer: 10*j + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(4\/64*4). Let g(a) = -8*a**3 - 5*a**2 - 11*a - 11. Is g(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 538.63 to the nearest integer.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036664753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-7)*-49 - -58314 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121.34 - 119.34. Put -5, s, 0.51, -0.09 in descending order.\nAnswer: s, 0.51, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*l + 127*l + 240 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10575497\/651 - 16245. Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1333232 (base 4) to base 16\nAnswer: 1fee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*13\/156)\/(66\/36).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00215*0.3299.\nAnswer: 0.000709285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 divided by -1?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 2 - -1 - (-27 + 44 + -31).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a**2 - 4*a. Let r be h(-3). Suppose -2 = -f + 1. Suppose -3*u + 7 + 459 = -l, -f*u + 456 = -r*l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 707 - 378. Suppose 9 = -2*s + 5, -2*s - f = a. What is a rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56640 smaller than 56610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-450)\/(-240)*16\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (22\/30)\/((-141)\/(-2115))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**7\/630 - c**6\/144 + c**5\/20 + 13*c**4\/12 - 14*c. Let d(a) be the third derivative of h(a). Is d(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 3)*(7*i - 9*i + 2 + 3*i).\nAnswer: -8*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**5 + 67*z**3 - 202*z wrt z?\nAnswer: 40*z**3 + 402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 + 3*o + 8. Let i(q) = -q + 2. Let g be i(6). Let x be p(g). Calculate the highest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -165*n + 18799. Determine b(114).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 greater than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 10 (c) -4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -11 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -74. Let a = -6 + 22. What is the remainder when b is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4293*b + 4286*b = -49 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352374 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 6*c - 4. Let r be d(3). Suppose -r + 14 = 3*q. Solve 20 = -q*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*u**4 - 150034*u**2 + 10129843*u wrt u.\nAnswer: -468*u**2 - 300068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (-1 + sqrt(325) + 1 - sqrt(325))**2) + -2 - ((sqrt(52) - sqrt(208))\/sqrt(4) - (-6*sqrt(13)*-4)**2).\nAnswer: 6*sqrt(13) + 7486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g + 5*v, -2*g - g - 2*v = -6. What is the remainder when 23 - (-3)\/(-3 + g) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 11*o - 3. Give r(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000268519 rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230452*k**2*m**2 + 101*k*m**2 + 655*m**2 wrt k.\nAnswer: -460904*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.8 - 48.85. Let z = j + 0.05. Let h = 13.64 - z. What is h rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43102363453\/8745 - 14786402\/3. Let c be 1 - 3 - 1058\/(-530). Let q = c + o. Put 3\/2, q, 0.2 in decreasing order.\nAnswer: 3\/2, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17025202 (base 8) in base 4?\nAnswer: 33002222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 5. Let a be 1\/(-2) + c\/(-2). Suppose -a*x - 3 = x. Let l(w) = 11*w + 1. Determine l(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5 + 299*t**3 - 307*t**3 to u*t + m*t**2 + w*t**3 + h and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuuuzu. What is prob of sequence zuuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 178. Suppose 94 = 3*o - 2*w, 3*w - x = -5*o + w. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-14)\/(-140)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 157*c + 29907 - 29907 + (1 + 1 - 4)*(c + 4*c - 3*c) + (0 - 2 + 1)*(-3*c + 4*c + c) + 3*c + 7*c - 4*c.\nAnswer: 157*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - 2*r)*(-4 + 3 - 1)*(3*r**2 - 8*r**2 - r**2) in the form h*r + j*r**3 + o*r**2 + a and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3388 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*(392\/(-16))\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/79 - 1335\/158. Let z = h + 49\/6. Let j = 2 + -4. What is the closest to -2\/7 in z, j, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 28*b**2 + 26*b - 29. Calculate h(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = -v - 7, -5*k = -v + 29. Let m(s) = -s**3 - 5*s**2 + 9*s + 6. Determine m(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175840 divided by -20.\nAnswer: 8792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (27\/48)\/((-603)\/804)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 15 = 0. Suppose 0 = 2*u - k*u + 39. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 + 13794*a.\nAnswer: -2*a*(a - 20691)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -579*c**2*l**3 - 7484*c**2 - 36*c*l + 371*c + 48*l wrt l.\nAnswer: -1737*c**2*l**2 - 36*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 0.1, -0.04, -0.4, 1\/35 in descending order.\nAnswer: 13, 0.1, 1\/35, -0.04, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167396 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 25*w - 4 = 4*a, 3*w = a + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58770 (base 15) in base 7?\nAnswer: 2252406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 34849673?\nAnswer: -3\/34849673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213920 and 23402848?\nAnswer: 117014240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -13. Let m(y) = -2*y - 5. List the prime factors of m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3029033 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 3. Let p(f) = 1157*f - 14. Determine p(h) + 5*u(h).\nAnswer: 1152*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41678701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -560, -842, -1124?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242143411032 - -1?\nAnswer: -1242143411031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*s + 26*s + 42 + 21*s + 11 in the form x + c*s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 4556665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402 - -404. Suppose 7*t - 4705 = g*t. What are the prime factors of t?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 2, z: 2, u: 1, l: 1, x: 1}. Give prob of sequence lz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687577.4 weeks to microseconds.\nAnswer: 415846811520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1044 = -4*z, -448 - 330 = -3*t - 2*z. Let p = t + -247. Calculate the remainder when 227 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1027, 1919, 2917, 4075, 5447?\n\"Answer: 9*i**3 - i**2 + 832*i + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -616*a - 4331. Determine s(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*b**2 + 1531*b**3 + 53*b**2 - 1526*b**3.\nAnswer: 5*b**3 + 100*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/6 - (-568)\/16. Differentiate -31 - p - 133*r**4 + 39 with respect to r.\nAnswer: -532*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02951 * 1.\nAnswer: -0.02951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.6? (a) 3 (b) 40 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + z**5 - z**5 + 3*z**5 + 5*z**5 - 2*z**5 + (-4*z**4 + 2*z**4 + 4*z**4)*(-4 + 1 + 2)*(-76*z + 131*z + 196*z).\nAnswer: -494*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(110\/33)*8\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**2 - 52*a + 510 = 0. Calculate a.\nAnswer: -51\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 52 in descending order.\nAnswer: 52, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223738, 447541, 671410, 895345, 1119346, 1343413?\nAnswer: 1567546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 - -408.5. Which is the second biggest value? (a) 13\/6 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 10*c + 12. Let n be v(-10). Suppose -k = -n - 16. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = 4*r, 0 = g + g - 4. Let n(d) = -27*d + 1. Does 22 divide n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69893645 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 3*p**2 + p - 7. Let d be r(-4). Let n(y) = -13*y + 3. Let h be n(d). Let b = h - -45. Is -17 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 = 8. Let n = -94 - 93. Let l = 1678\/9 + n. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let f(r) be the first derivative of r**2 + 4. Let m(b) = -f(b) + 4*i(b). Let l(y) be the first derivative of -y**2 - 1165. Calculate l(m(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**(15\/7)*((((t*(t**16*t)\/t)\/t)\/t)\/t)\/t**18 assuming t is positive.\nAnswer: t**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -49, -83, -121, -157, -185, -199?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*d**3*z**2 + 2710495*d**3*z - 11*d**3 + 18238*d**2*z**3 wrt z.\nAnswer: 222*d**3 + 109428*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414 (base 12) in base 9?\nAnswer: 7827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*l - 5*c, -5*c = -3*c - 8. Let b be (-2)\/(-6)*l\/(-1). Suppose 15 = -0*g - b*g, -5*g = -2*p + 25. Sort -4, p, -3 in ascending order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 124*n + 29383. Calculate w(-237).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -481655 or -481656?\nAnswer: -481655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -705362 - -1545935. Let u = 840572.4599958 - a. Let b = u + 0.54. What is b rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 - 651*d = 0. What is d?\nAnswer: -651, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) - (11 - 0). Let l be -4*2*1\/o. Find y such that 0*y - 2*y + 5 - 2*y**2 + 0 - l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Suppose 4*u = -s + 1 - 3, 7 = 2*s - 3*u. Let g(x) = x**2 + s*x**2 - 2*x**2 - 4*x**2. Give g(k(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3760 divided by -5.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024738 a multiple of 1706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)\/(2\/(-4)). Let w be (6\/p)\/(-1) + 195. Suppose 12 = 4*b, -3*d - b = -2*b - w. Calculate the greatest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - (-3975)\/(-50). Let g = -67 - s. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.04387 rounded to one decimal place?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -307 divided by -51\nAnswer: 307\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**2 + 3*f**2 + 25*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 25*j + 1. Let a be p(2). Let g = 254\/5 - a. Sort 5, 2\/5, g in ascending order.\nAnswer: g, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*x - 90*x**2 - 19*x**2 - 161*x**2 + 383*x.\nAnswer: -270*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-7 - (-250)\/40). Which is the third biggest value? (a) -3 (b) -1 (c) i (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*f + 123, 2*z + 28 = 3*z + 4*f. Suppose 46 - 14 = -4*r + m, 4*r + 4*m + 52 = 0. What is the units digit of 9\/(-4)*z\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2110042683 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 - 23)\/(-6*1\/20). Solve m - 28 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 354? (a) -114 (b) -1 (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 71?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2\/7 - 980*i + 13704\/7 = 0. Calculate i.\nAnswer: 2, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 2 - (-8 + 22 - 23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8432154439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127791.\nAnswer: 3, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**8\/112 - 4*j**7\/35 - j**6\/40 + 17*j**5\/5 + 15*j**4\/2 - 4304*j**2. What is r in q(r) = 0?\nAnswer: -2, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/15 and (-2050)\/240 + (4\/6 - 1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 34*k**2 + 86*k + 296. Give c(-36).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 56. Let i(n) = 388*n**2 - n. Give i(p(z)).\nAnswer: 388*z**2 + 43455*z + 1216712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**36))**(-33)\/((a*a**(-2\/11)*a*a)\/a**(-25)))**(-2\/33) assuming a is positive.\nAnswer: a**(8674\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -40, -42, -44, -46, -48?\n\"Answer: -2*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.711350416 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose 17 = y*h + 5*z + 7, 0 = -4*h + z + 21. Let w(o) = -3*o - 10. Let q(d) = -2*d - 9. Let r(j) = -5*q(j) + 4*w(j). Calculate r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -3*t**4\/4 - 94*t**3\/3 - 3*t**2\/2 + 3*t - 99. What is the second derivative of a(p) wrt p?\nAnswer: -18*p - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, 2110, 4317, 6524?\nAnswer: 8731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(1\/4))\/c)**(-1\/5)\/((c\/(((c*c\/(c\/(c*c\/c**(-8))))\/c*c)\/c))\/(c**6*c)) assuming c is positive.\nAnswer: c**(317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2284571.3 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3767776 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1 + 9. Which is the closest to 1? (a) p (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2. Let y(x) = -15*x**3 + x. Let h be y(-1). Let t be 112\/49 + (-4)\/h. Let r(j) = -j + 0*j - j**t + j. What is r(c(u))?\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(7\/5))**(16\/3)\/((q**(-2\/11)\/q)\/q*q**(-7)*q**9*q*q\/(q\/((q\/((q**2*q*q)\/q))\/q)*q)) assuming q is positive.\nAnswer: q**(4039\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4116*c**3*i - 2*c**3 + 39*c**2 wrt i?\nAnswer: 4116*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 400?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.2, -0.109, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333.9489 + -334. Let z = -270.1889 + 272.97. Let y = u + z. What is y rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344812 is divided by 344804.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 3*a**2 - 5*a - 2. Calculate m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -16, 60, -4, 5 in descending order.\nAnswer: 60, 5, 0, -4, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.88.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*v = 152*v - 16083 - 19797 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r - 69. Let l(f) = -36*f + 275. Let q(t) = 2*l(t) + 9*x(t). Let y be q(17). Let p = -85 + y. Sort p, 6, -1 in descending order.\nAnswer: 6, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -706.7412 and -0.1477.\nAnswer: -706.8889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227*c**4 + 1671*c**3 - c**2 - 536844*c wrt c.\nAnswer: -2724*c**2 + 10026*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(-3*sqrt(500) + -4))**2 + (sqrt(180)*1 + sqrt(180) + sqrt(180))\/(sqrt(441) + sqrt(441)*-2 + sqrt(441) + sqrt(441))).\nAnswer: -975456 - 362916*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 16 = -6*p. Is 1\/230 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03664 to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a - 3. Let z be (-7)\/(-28) - 50\/8. Let v be q(z). Let m = v - 19. Sort 1, 3, -3, m in decreasing order.\nAnswer: 3, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/6 + 71*u**3 - 10801*u**2\/6 - 71*u + 1800 = 0.\nAnswer: -450, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + -5 + -82 + 0. Let j = 138 + s. Let o = -31 + j. Solve 3*v - 2*v = 3*n + 15, o = -4*n + 3*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 94*r**2 - 358*r + 402. What is g(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -75?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 3, p: 5}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + l - 1. Let m be n(2). Let y = -3 + m. Let w(v) = -8*v**2 + 6*v. Let a(t) = -15*t**2 + 11*t. Give y*a(b) - 11*w(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 62999412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 1.1 (b) -1\/4 (c) 16 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 2*b + 2. Let o(g) = -5*g**2 - g + 3. Let j(l) = 3*l**2 + l - 1. Let k(t) = 6*j(t) + 3*o(t). Let c = 28 + -31. What is c*x(r) + 2*k(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -18752.40924 rounded to 1 dp?\nAnswer: -18752.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71567640 (base 8) to base 4.\nAnswer: 321232332200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5a20 + 1b?\nAnswer: a5a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 104 (b) 55 (c) 134.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**4 - l**3 + 4*l**2 + l. Let r(d) = -63*d**4 + 18*d**3 + 3*d**2 - d - 21. Let z(k) = 3*j(k) + r(k). What is the third derivative of z(f) wrt f?\nAnswer: -1440*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/34)\/(515\/(-618))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333916181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -952 divided by 238.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from zzfbzezgbzgezeeg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-2)\/(-2)*(1 + -1 - -692)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1912320 divided by 5\nAnswer: 382464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 8)*(3 + g**4 - 3).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97531698 or -97531702?\nAnswer: -97531698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and -243.4?\nAnswer: -8519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000101011 (base 2) to base 6.\nAnswer: -31055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14886 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4)*-3)\/(sqrt(352)\/sqrt(11) - sqrt(2)) - (sqrt(5700)*2 + sqrt(5700))\/((sqrt(36)\/sqrt(4))\/sqrt(3)).\nAnswer: -31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44 + 1478307838182.\nAnswer: 1478307838181.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6393717344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.127245 + -0.05\nAnswer: 2.077245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, x: 4, f: 3}. Give prob of picking 1 y, 1 f, and 1 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 4*k. Solve -l + 9 - 1 = 5*n, k = -5*l - 4*n - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 137. Let b(o) = o - 68. Let g(n) = -5*b(n) + 3*p(n). Let a(c) = 13*c**2 - 26*c**2 + 7*c**2 + 5*c**2. Give g(a(x)).\nAnswer: 2*x**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -4\/9, -2\/177, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(7\/3))**44)**9 assuming n is positive.\nAnswer: n**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10044202 (base 5) in base 15?\nAnswer: 190bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*v + 825*v = -512 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2))\/((-10)\/40). Suppose -3*u - 2 = -x + j, -4*u = 4*x + 8. Let z = 4.96 - -0.04. Put z, u, -0.6 in increasing order.\nAnswer: u, -0.6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/18 - 16891\/(-2394)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, 3, 0.6, -1 in descending order.\nAnswer: 3, 2.3, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8981 + 9071. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460316401 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + -4. Suppose 0 = 5*n + 2*r - 19, -4*n - 7 + 18 = 3*r. Let g be (n + 45\/(-20))\/((-2)\/8). Is g > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -62467*g - 62541. Determine q(-1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*v + 66, o + 50 = -0*o - 5*v. Let b be (-6125)\/o + (-2)\/(-8). Let y = -925\/9 + b. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -9270, -1\/5?\nAnswer: -9270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36264 and 149589.\nAnswer: 1196712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33459*r**2 + 84436*r.\nAnswer: 66918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iurat. Give prob of sequence art.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 972817*n - 9*n**2 - 972822*n + 3*n**3. Let d(b) = -b**3 - 14*b**2 - 8*b. Calculate -5*d(y) + 8*o(y).\nAnswer: -3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.228?\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 8. Suppose 3*i - 160 = i - 3*j, 2*i + 2*j = 164. Suppose -u - i = -6*u + 2*h, -2*u = -2*h - 32. Let m be u\/(-45) + 48\/(-5). Calculate b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5*6\/(-60)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*m - 3, -10*q + 30 = -6*q + 2*m. Suppose 0 = 2*s + 3 - 9. Let h be (-3)\/(s*2\/(-176)). What is the greatest common factor of q and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 + g**2 + 129 - 129 to the form c*g**2 + d + k*g**3 + w*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 6 - 2 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21962987681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 28*g**2 + 0 - 640936324*g + 640936324*g.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3597 + 6584?\nAnswer: 10181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -2597\nAnswer: -26\/2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2107*r**2 - 4*r + 5. Let a = -949 + 952. Let m be o(a). What is m rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485036593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 86. Let u be x(20). Solve 155 = u*c + 17*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -999632192, -999632193, -999632194, -999632195, -999632196, -999632197?\n\"Answer: -n - 999632191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 11*w - 3. Let l be z(-5). Let d(c) = 18*c**3 - 2*c**2 + c + 2. Let a be d(l). What is the greatest common factor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*f - 4 = 0, 6*m + 29 = 4*m - f. Find the common denominator of 29\/32 and 24\/m - (-102)\/(-64).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-1136))\/(1 - 33\/24). What is the second biggest value in 1\/2, i, -1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149b (base 15) to base 10\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*x**2 + 7*x**2 + 7*x**2)*(-1 + 1 + 3*x) + 5*x**2 - 5*x**2 + 3*x**3.\nAnswer: 150*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24448410 is divided by 888.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15480)\/(-96))\/(-43))\/(10*5\/(-240)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*q - 169 = 0, 0 = -o - o - 5*q + 47. Let s be (-1*2 + -1)*o\/(-27). Suppose -3*c = 5*p - 32, 2*p + 2*c = 5*c - s. Solve r - p = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 4. Let n = -188 + 196.3. Let k = d + n. Sort k, 4, 0.4.\nAnswer: k, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/29, 0.4, 0.3, -1, 1\/756?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.009583 kilograms in grams?\nAnswer: 7009.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60931 + 60931 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 2*d**2 + d - 1. Let u(q) = -9*q**3 + 28*q**2 + 2*q - 4. What is -3*s(l) + u(l)?\nAnswer: -3*l**3 + 22*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -16. Let j = -5 + r. What is the third derivative of -g**2 + 2*g**j - 2*g**2 - 2*g**6 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.56 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) 0.1 (b) 1\/6 (c) -593\/4 (d) -1\/5 (e) -7722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-27))\/(27\/18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766797971?\nAnswer: 11, 31, 631, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa0 (base 13) to base 16.\nAnswer: -71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75 + -102 + 31 + (-10)\/26*10. Let r(i) = -i - 5. Let v be r(-4). Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846746 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-1 + 2)*1. Let l be (4\/(-5))\/(3 - k). Let h = -2.04 + 0.04. Which is the nearest to h? (a) -3\/4 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -136\/11 and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let h(m) = -332*m. What is h(j(b))?\nAnswer: 664*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 2*v + 40 = 0, -321*l + 29 = -645*l + 322*l + 5*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*h*k**3 + 561*k**3 wrt h.\nAnswer: 82*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 23317 + 270529 = -2*m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1376 - 1723 = q + q, -4*u + 274 = 2*q for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 952 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3576 + 0.0576. Which is the closest to y? (a) 3\/5 (b) 1\/4 (c) -0.27 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*f + 307*f - 161*f = -72. Let g = 0 + 4. Suppose g*d = -d + 15. What is the remainder when f is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 2*w + 9. Suppose -3*t - 129 = -516. What is the remainder when t is divided by n(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0869 - -0.5869. What is the second smallest value in 0.086, -4, b, 1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/110)\/((-1)\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(75\/(-250))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 11.5. Let a be (-10)\/6 + (2 - 0). What is the closest to a in 1, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 61*v + 244. Let k be y(-4). Solve p - 3 = -2*r, -3*r - 5*p + 10 + 5 = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9019, -10056, -11079, -12082, -13059?\n\"Answer: n**3 + n**2 - 1047*n - 7974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/4*i**4 + 33*i**2 + i**3 + 0 + 0*i. Let u(k) = -2*k - 2. What is -5*m(h) - 14*u(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*n, 40*o - 44*o - 4*n = -128616. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/3)\/(2\/28*2). Let f be ((-1)\/(-3))\/(j\/((-21)\/(-6))). What is the closest to f in -2\/15, 5, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -6. Let y(x) = 8*x**2 - m*x**2 + 7*x**2. Let r(a) = -2*a. Calculate y(r(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5868*g + 1393?\nAnswer: -5868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1856*g - 4657. Give l(-3).\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c**2 + 25*c + 17. Let s(q) = 8*q**2 - 13*q - 8. Let d(z) = -5*s(z) - 3*u(z). Suppose 3*k - 44 = -23. What is the hundreds digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.3 + 33.3. Which is the biggest value? (a) 0.1 (b) d (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830758 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 21 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffefvfezeffvzzozfef. What is prob of picking 1 v, 1 f, 1 z, and 1 o?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101777.6729 take away 3.6?\nAnswer: -2101781.2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-18) - (-376)\/6. Suppose 0 = 4*g - k - 1. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/459050, 2, 0.4, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**7*o)\/o))**17*o\/(o**(1\/5)*o)*o**14 assuming o is positive.\nAnswer: o**(-356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.165369 litres to millilitres.\nAnswer: 1165.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 2*n**3 - 12972*n**2 + 12972*n**2 + 6*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 34*m**2 - 1. Give j(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*y**4 - 33*y + 33*y + (-2*y**2 + 3*y - 3*y)*(-4 + 4 + 7*y)*(-3 + 3 + 4*y))*(1 + 1 + 0).\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 4*z**3\/3 + 2*z**2 + 2*z - 15. Let i(r) = r**2 + r. What is h(l) - 3*i(l)?\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108111251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.002? (a) -229133 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1523, 3, 2 in ascending order.\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2116? (a) 5 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 8*m + 2. What is the remainder when 81 is divided by h(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 + 109. Let a(t) = -11 + 5*t + n*t + t**2 - 2*t**2 + 2*t**2. What is a(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 1. What is f(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.34. Let f(h) = -h**2 + 2*h - 1. Let l be f(1). Let q be (-7)\/3 - (l - 2). What is the second biggest value in q, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lliy when four letters picked without replacement from iliiyiill?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 618788432 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.5 + 46. Let t = j + 16. What is the nearest to 0.1 in t, -3, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -35111969.31022?\nAnswer: 35111969.21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -a + 3*i + 1, -2*a - 5*i + 5 = 0. What is the smallest common multiple of a and (-2 - -3)*(1 + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12754761?\nAnswer: 3, 1531, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*t + 26*t + 3.\nAnswer: 32*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -49627.\nAnswer: 4\/49627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 16186*y**3 + 68050753*y**2 + 20670363672*y + 1630861810704.\nAnswer: (y + 161)**2*(y + 7932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*r - r + 24, -4*r - 6 = -t. Let l(d) = -20*d - 12*d**2 + 23*d + 13*d**2. Let f be l(0). Solve -3*b - 3*v + 27 = f, v - t = -3*b - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/85*(-1)\/(-3))\/(1\/(-1)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -0.106?\nAnswer: -16.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 + -23 - 19) + (-5 - -40) + -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103162633313 + 1?\nAnswer: -103162633312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3 + 27. Let v = 42 - 18. Calculate the highest common factor of r and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose q*k = 85 + 23. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -2.5, 1\/11, -0.1, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/4)\/(1089\/(-30)). Let t = x + 3\/242. Find w, given that -t*w + 0 - 2\/11*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 93734416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6698.\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -6*z - 2. Let w be -10*z\/(2 + -3). Let g be 22 - (-5)\/(w\/4). What is the highest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1375 and 32375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*1\/(-2). Let z = -2.29 - -16.99. Let q = z - 12.7. What is the nearest to q in 3\/5, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Suppose 0 = -3*n - 3*p + 453, 11*p + 281 = 2*n + 6*p. Suppose 0 = n*r - 153*r + 20. Solve 9*z - m*h = 4*z - 12, -r*z + 5*h = 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9930705.21 to the nearest one thousand.\nAnswer: -9931000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 + 25391*d**3 - 1119540*d**2 - 10174832*d - 21161920 = 0. What is d?\nAnswer: -25435, -4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1304, -5158, -11528, -20372, -31648, -45314, -61328?\nAnswer: -79648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26288 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3377\/390 - -864\/65. Calculate the common denominator of z and -49\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -12 - (189\/(-315) + (-141)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 23*t. Let x(w) be the third derivative of 1\/60*w**5 + 0*w**4 - 2*w + 0*w**3 + 0 - 105*w**2. What is x(f(j))?\nAnswer: j**4 - 46*j**3 + 529*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7637, 15274, 22911, 30548?\nAnswer: 38185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(275) + 1 + sqrt(275)*-2 + 1 + -1 + -5 + -4)**2.\nAnswer: 660*sqrt(11) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-8)\/(-2) + (-4 - -4). Suppose 0 = -2*y - 2*f + 222, 0*y - f = -y + 113. Suppose -b = -n*b + y. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d - 5*q + 95 = 0, 4*q - 172 = -4*d. Suppose 2*g - 17 = 3. What is the highest common factor of g and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12751 - 1058453\/83. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -85. Let s be (-3)\/3 + 1 + (-3 - v). Let d(w) = -w + 2. Let f be d(0). Solve 7 + 7 = s*u - f*g, 0 = u - 2*g - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1840, -1727, -1542, -1279, -932, -495, 38, 673?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:20 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 610 divided by 242\nAnswer: 305\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 2*j, -132*j + 76*j = -3*b - 70*j + 548 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5803883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 93*n - 554. Let z be j(6). Suppose 0 = -3*y - 12 - 0. Sort -3, 1, z, y in decreasing order.\nAnswer: z, 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -599 + 251. Let n = g - -343.66. Let o = n + -0.16. Round o to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 18*n + 30. Let m be x(-15). Let t = -29 + -8. Let l = m - t. Which is smaller: l or 23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 + 5 = 0. Suppose -4*f - 11 = -j*o - 5*f, -5*o - f = -14. Let c = 464 - 464. Solve -n - 2 - o = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250297703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -37*h**5 + h**3 + 24*h**2 + h - 1. Let p(d) = -d**5 - d**3 - d**2 - d + 1. Let o(j) = -p(j) - u(j). Find the third derivative of o(q) wrt q.\nAnswer: 2280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/a**(2\/3)*a)\/(a*(a*a\/a**(2\/9))\/a*a))\/((a**(-5)*a)\/((a\/a**(1\/3))\/a)))**(2\/59) assuming a is positive.\nAnswer: a**(76\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/2 + 2*x**3\/3 - x**2 + 636*x - 6. What is the tens digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.534t in micrograms?\nAnswer: 835534000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 + 2*k**2 - 2*k + 1. Suppose 0 = -33*v - 42*v + 150. Calculate h(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201 + -1?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 3. Let p be t(-3). Let o be (p\/(-4))\/(3\/(-4)). What is the derivative of v**2 - o + 4 - 3 wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.33226\nAnswer: 1.6613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59540, -59544, -59560, -59594, -59652?\n\"Answer: -s**3 + 3*s - 59542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91\/215 + 1\/43. Let g = 561 - 561.0357. Let x = -28.9643 + g. Put q, 4, x in ascending order.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(6\/7)*q)\/((q\/q**(-1\/3))\/q))**(-50) assuming q is positive.\nAnswer: q**(-2650\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(-4 + 0 + 3) - 1 - 3 + 2)*(165*f - 504*f + 180*f).\nAnswer: 159*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -372977089 minus 5?\nAnswer: -372977094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 143312044 (base 5) in base 11?\nAnswer: 47a229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(204))\/sqrt(12).\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(6\/5)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 4*k + 5. Let o be d(3). Suppose -2*c - o*n = -22, n - 34 = -3*c - 3*n. Calculate the smallest common multiple of c and 1*6*(-1)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 + 18*b + 20. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 30, 375 in increasing order.\nAnswer: -1, 30, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -2564*f + 2557*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1954008864 + 9.89?\nAnswer: 10.0854008864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 1 + i**2 + 0*i**3 + i - 3*i**3 to g*i**3 + o*i**2 + h + s*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356.4 - -356. Which is the biggest value? (a) t (b) 0.18 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let j(p) = -36891*p. What is f(j(c))?\nAnswer: -1360945881*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f48 - -19e56?\nAnswer: 1ad9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.62976s to nanoseconds.\nAnswer: 69629760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15267 is divided by 1016.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757014, 3028036, 6813082, 12112158, 18925270, 27252424?\nAnswer: 37093626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - l + 12 = 0, 3*r + 10 - 27 = -l. Solve 5 = 2*t + r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 604, 604, 584, 538?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1 - (-4 - -2). Let g be (t + 12\/8)*-1198. Let v be (g + -1)\/(2\/(-16000)). Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40 and 23\/165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k + 119042 = 3*q + 119087, 0 = -q + 3*k + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 - 2*s**2 - 8*s = 0. What is s?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.042 + 0.058. What is the nearest to 0.2 in c, -1, -15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.8 times 36.71?\nAnswer: -1020.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8172688331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 98229266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 + 2*x**3 + x**3 + (6*x - 5*x + 4*x)*(-8*x**2 - 64*x + 64*x) as d + l*x + k*x**2 + v*x**3 and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*v - 24. Let q = v + -20. Let c(b) = 3*b**2 - 2. List the prime factors of c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427154 to the power of 1\/2, to the nearest integer?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 565321843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 16) in base 12?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6 + 8*y + 0 - y**2 + 1. Let k be o(5). Let z = k - 8. Solve -2*l + 3*l = 3*u + 5, 0 = z*l - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -0.167672697564\nAnswer: 5.167672697564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2 + 21*a - 2. Let q be y(2). Suppose 5 = s, -4*s - 25 = j - 9*s. Sort j, -2, q, 5 in ascending order.\nAnswer: q, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2392*i - 3*i**2 - 1201*i - 1197*i + i**3 + 6*i**4 + 1 in the form l*i**4 + z*i**3 + x*i + a*i**2 + b and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 92*c**3 + 240*c**2.\nAnswer: 4*c**2*(c + 3)*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3*y**2 + 0*y + 4*y. Let o be x(-3). Let b(d) = -d + 2. Let i(j) = 2*j - 3. Let z(g) = g**3 - g + 4. Let c be z(0). What is c*i(t) + o*b(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534440, 1068868, 1603280, 2137670, 2672032, 3206360, 3740648, 4274890?\nAnswer: 4809080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-32))\/((-36)\/48). Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and -1830654070.\nAnswer: -1830654069.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5728 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**3 + 2*l**3 + 3*l**3 + (55 + 27*l**2 - 55)*(1 - 3*l - 1 + (3*l - 4*l + 2*l)*(0 + 4 - 5)) as i*l + f*l**3 + u*l**2 + x and give f.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77514)\/(-64595))\/(((-4)\/(-130))\/1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*o + 9, -3*o - 37*v = -34*v - 27. Find the third derivative of 6*s**5 + 8*s**5 + 3*s**4 + 42*s**2 - 164*s**2 - 5*s**o - 107*s**2 wrt s.\nAnswer: 840*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose -f = -3*q + f + 60, r*q - 5*f - 95 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 2*g**2 + 2*g - 2. Let b be k(-3). Let v(h) = -2*h + 3. Let t be v(1). Let l be 3 - -2*(t - 0). Solve -3*r - l*q + b = 2, 2 = -q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.025 + 0.425. Let z be (-2)\/(-16) + 2121\/280. Let f = -15\/2 + z. Which is the nearest to 1? (a) w (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237174 divided by -125.\nAnswer: -237174\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76425381*o + 56313910 with respect to o.\nAnswer: 76425381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 - 52495*p**3 - 315095*p**2 - 577745*p - 315150 = 0.\nAnswer: -3, -2, -1, 10505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 5*v**3 + 24*v**3.\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25732, 25717, 25702?\n\"Answer: -15*q + 25747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1062\/15*120\/16. Let b(a) = -37*a + 7. Let n be b(-10). Let o = u - n. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -869 - -871. Factor 1\/5*w**x + 1\/5*w + 0.\nAnswer: w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.2 - 0.2612.\nAnswer: 14.9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 109*w - 35. Let y be s(4). Let l = 387 - y. Sort 5, -2, l in ascending order.\nAnswer: l, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -317*l**2 + 108*l - 9. Let w(m) = -211*m**2 + 72*m - 6. Let a(u) = 7*w(u) - 5*z(u). Determine t, given that a(t) = 0.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202420 (base 5) in base 13?\nAnswer: -1b463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 + 16*h - 7. Let a(m) = 15*m**2 - 33*m + 14. Suppose 0 = -2*u - 6, p + 0 - 3 = 3*u. Let l(f) = p*a(f) - 13*r(f). Calculate l(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -68*4\/((-16)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.322528 centuries?\nAnswer: 0.4322528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196042 is divided by 185?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20121111 (base 3) to base 6\nAnswer: -34151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*j - 38, 0*b - j = -2*b + 23. Suppose -8 = -3*n + 4*d, 0 = 3*n - d - b + 2. Solve 3*i + 3 = -n*g, -14 - 13 = 3*i - 4*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (75\/15)\/(1\/2). Let f(c) = 3*c**2 - 26*c - 34. Let v be f(l). Solve -4*x = -2*t + v*t + 24, 0 = -3*t - 5*x - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - 3*n + 2. What is the remainder when v(3) is divided by ((-60)\/8)\/((-70)\/168)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/21, 1\/4, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1938 and 1386996?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/11))\/w*w*w**(-32))\/(w*w**(-47)*w*w\/(((w*w\/w**29)\/w*w)\/w)))**(1\/35) assuming w is positive.\nAnswer: w**(-167\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 230074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 9, 4\/5 in descending order.\nAnswer: 9, 5, 4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-28)\/(-294))\/(2\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5657353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 4, y: 8}. Give prob of sequence ky.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnkkznnzz. Give prob of picking 3 n and 1 z.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2072425, 2072432, 2072443, 2072458, 2072477?\n\"Answer: 2*r**2 + r + 2072422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.31? (a) 0.4 (b) 0.5 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1727982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -407 + 617. What are the prime factors of j?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.0063mm in kilometers?\nAnswer: 0.0005650063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 7 - 8. Suppose -u = -0*g - g. Suppose -1489*i + 1504*i = 75. What is the highest common divisor of i and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3948 and 9?\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 19*b**2 - 17*b - 11. Let t be c(18). Let f be (t - 2 - 4) + -441. Let o be f\/(-45) + 4\/18. Calculate the highest common factor of 35 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**3 + t**2 + t - 1. Let m be (-3*3\/(-36))\/((-6)\/(-24)). What is s(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - 2\/((-2)\/(-1)). Let l(a) = -5 - 227*a - 27 + 164*a + 34*a. List the prime factors of l(i).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103339367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - (-6 + (-1 - -2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.529, 1\/9, 12\/5, -1, 2\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 12) to base 7.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (217 - 217 - 48*q**2)*(0*q**2 + 0*q**2 - q**2) - q**4 - 3*q**4 + 2*q**4 + (-q + q + 2*q)*(-q**2 + q**2 - q**3) - 2*q**3 + 2*q**4 + 2*q**3.\nAnswer: 46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 397, 819, 1239, 1657, 2073, 2487?\n\"Answer: -h**2 + 425*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058761 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {h: 2, f: 4, l: 2, o: 1, b: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/6 - (0 - -2 - 0). Let a = 2 - 3. Put 0, j, a in ascending order.\nAnswer: j, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*h + 3*h**2 - 142*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -0.18 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 10 - (-5 + (-32 - -17)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 311 - ((-14)\/(-6) - (-32)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374 - -377. Let r(i) be the first derivative of 7\/2*i**2 - 6 + 0*i**l - 5\/4*i**4 + 2*i. Let t(o) = o**3 - o. What is r(v) + 6*t(v)?\nAnswer: v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111163 is divided by 55553?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = q. Suppose -6*n + 25 + 113 = 0. Suppose 0 = 3*g + 2*b - 37, q*b = -2*g + 2*b + n. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*n, 37*n - 34*n + 18 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/6 + (-2)\/6. Suppose -p + 1 = 2*u + 2*p, u - 7 = v*p. List the prime factors of u\/(-4) + (-63)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*b + 1129*b = -751*b - 34928 + 6372 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/(-1)*1365\/(-364).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:28 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*h + 8, 3*h + 4 + 4 = -5*o. Suppose 4*g - 6*g = 2*c - 532, -h*g - 1366 = -5*c. What is the highest common factor of 30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-4*i**4 + 58 + 2*i**3 + i**4 - 21*i + 23*i).\nAnswer: 6*i**4 - 4*i**3 - 4*i - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000431 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q - 2. Let z(d) = 11*d**3 + 11*d**2 + 4*d - 4. Let k(n) = 2*t(n) - z(n). Let w(s) = 5*s**3 + 4*s**2 + s. Give 3*k(x) + 7*w(x).\nAnswer: 2*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3443 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567781809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7256*v**4 + 1365*v**3 + 125823157 with respect to v.\nAnswer: -29024*v**3 + 4095*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*((n**41\/n)\/n)\/n*n)*n**(1\/6) assuming n is positive.\nAnswer: n**(-233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5661957 centuries?\nAnswer: 5.661957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 39 = 5*i, -5*i + 18 = -3*i - t. Let u be 2\/i + (-8164)\/(-1320). Let h = u + -36\/5. What is the third smallest value in -1\/2, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 52856946?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 6*a + 0*a + (-4 + 4 - 1)*(-1 + 2 + 2)*(-a + a - 3*a) to o + r*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*a**3 + 1177*a**3 - 2436*a**3.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*n - 3*k - 19, 2*n + 3*k - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-63))\/(4\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310280000 to the nearest 1000000.\nAnswer: 1310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40009910 is divided by 343?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -829070203 + 2827129365011\/3410. Let f be (0 - 0) + 56\/682. Let q = f + u. Calculate the common denominator of q and 35\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/33 - (-4)\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980598012?\nAnswer: 2, 37, 361687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k**3 + 18*k**3 - 4*k + 3*k + 12*k**3 to the form c*k + z*k**3 + x*k**2 + f and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 10*p - 24*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (-6 - -2 - 57). Solve i*h = 76*h - 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 - 2.41. Let h = f + 2. Let j = 78533.6 - 78534. Which is the closest to h? (a) -2\/11 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 266729.58 months?\nAnswer: 22227.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 233036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 3*n. Suppose n*s = -2*s. Suppose -q - 4*q + 225 = s. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -17\/2*s**2 + 25 + 1\/3*s**3 + 7*s. Is 7 a factor of k(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12214 and 21726?\nAnswer: 132680682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 253849700 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + 149. Suppose 0 = -2*m - 3*m + 1195. Suppose 2*k + s = -2*s + m, 5*s = 2*k - d. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8558 and 0.07.\nAnswer: -599.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1140 + -1135. Solve -2*t + t - 3*v = -1, -4*v = -z*t - 33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/9 + 128356*l**2\/9 - 128344*l\/3.\nAnswer: -4*l*(l - 32086)*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 8, -3\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4809193 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199093688?\nAnswer: 2, 24886711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m - 5 = 0. Let g be (1 + m)\/(6 + -7). Suppose 4*x - 68 = -4*a, 0 = -g*a - 2*a + 4*x + 22. Calculate the remainder when 44 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93870 is divided by 31161.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Express -45 + z**3 - 4*z**3 + 18*z**4 + 15*z**4 - 31*z**4 + z**2 - 2*z**2 in the form y*z + w*z**4 + f*z**2 + v + o*z**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 28 = 2*k + 5, 0 = 2*m + 5*k + 70. Let w(x) = -317*x + 124. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, -4, -5 in descending order.\nAnswer: 0.001, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/13195 and -47\/7854.\nAnswer: 14804790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 26.2. Let y = 21 + c. Let p = y + 3.4. Put p, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 35, 4, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13864*i**2 + 4591*i**2 + 4600*i**2 + 4633*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -20*y + 39*y - 2*y**2 + 5*y**2 - 26 - 21*y. What is h(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312941000 to the nearest 1000000.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8700, -17432, -26188, -34968, -43772?\n\"Answer: -12*f**2 - 8696*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433385?\nAnswer: 5, 86677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020196267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 5:58 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 8*n**2 - 10*n. Let s be z(8). Let j = -78 - s. Suppose -j*f - 32 = -2*o - 0*f, 4*o - 2*f = 68. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885395 and 24395.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.4 + -0.4. What is the second smallest value in 0.3, w, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.19494*-3\nAnswer: 39.58482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 933*y - 4682. What is u(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/2 - 6741*z**2 - 17972955*z\/2 - 3008898900 = 0.\nAnswer: -1995, -504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7900469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541751505?\nAnswer: 3, 5, 31, 1165057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115452 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -242\/5 - 2\/5*q**2 - 44\/5*q = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 2*o - 2*o)*(152*o**2 - 4 - 173*o**2 + 4) in the form w*o**4 + s*o**3 + c + l*o**2 + d*o and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -780.9?\nAnswer: -1561.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106345641 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -3*z - 4*b, 7 = -4*b - 1. Let l(s) = s - z - 149 + 325. Calculate l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29408 - -10901.1837.\nAnswer: 40309.1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:06 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((50\/(-8))\/5)\/((-31)\/(-5208)). Let l = 519 + g. What is l rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h + 2. Determine c(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b**2 + 0)*((-1 - 1 + 4)*(4 + 0 - 2) + 4 - 3 + 9) + (2*b - b + 3*b)*(0*b - b + 2*b).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 79*c**2 - 5769*c + 43911.\nAnswer: (c - 123)*(c - 7)*(c + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 90. Suppose 71 + 213 = 5*i + 2*a, -3*i + 172 = 2*a. Let y = k + i. Solve v - 5*t + y = 0, t - 16 = -3*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 13*l**2 + 37*l + 11. Give r(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p**2 + 4*p - 2. Suppose -2*y + g + 23 = -y, -57 = -3*y - g. Suppose -y = -2*n - 0. Calculate the remainder when q(3) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3 - 90*g**2 - 432*g = 0.\nAnswer: -24, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 - (-2 + 7) and -58\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2892267745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 1*-1) + 13 + -10. Is (9\/k)\/(2\/(-8)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -12, -2\/7905 in descending order.\nAnswer: 0.1, -2\/7905, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26808 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 37*l**3 - 5*l**2 - 8*l - 1. Let o(u) = -9*u**3 + u**2 + 2*u. Determine 9*o(g) + 2*t(g).\nAnswer: -7*g**3 - g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6165064*p**5 - 4173261*p.\nAnswer: 123301280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - n + 20.\nAnswer: -(n - 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, l: 1, c: 11}. What is prob of picking 2 c?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 36. Let d be o(13). Solve 3*i + 15 = 0, -d*v - 5*i - 16 = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4005792 and 15372?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 14, p: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 3*1*sqrt(68))\/(sqrt(4) - (sqrt(4) - 2*sqrt(100))).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b + 5. Suppose 0 = -h - h - 10. Let d be z(h). Is d less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -2ad?\nAnswer: 2be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times -0.05\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilisqeqqqepe. What is prob of sequence sqe?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 + 9*p - 17. Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57045 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 120044121?\nAnswer: 120044112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2241*y + 568. Calculate z(0).\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45670699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (24 + -18 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/(-78) + -2 + 47067\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127817121476 take away -1.91?\nAnswer: -127817121474.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3\/3 + 6. Let x(y) = -y. What is x(g(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -368 and -13.15.\nAnswer: 4839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose v = -b*v + 2. Differentiate 54*j**2 - 54*j**2 + 2 + v*j**3 wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/6 + 1\/(-3). Let y = 3846\/13 - 296. Which is the third biggest value? (a) -1\/4 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g - 6. Let m(k) = 35*k - 9. Calculate 8*b(f) - 5*m(f).\nAnswer: -15*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a8 - 9?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14 + 14 = 4*l, -2*c = 4*l - 30. Suppose 27 = 7*h - l. Suppose 2*s - 32 = -2*m, 3*m + 3*s = h*s + 68. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203987 and 644?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 6*w - 5*w + 12, 3*a + 5*w + 14 = 0. Suppose -2*s + 5*s = -a*x + 14, -x + 5*s = -20. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5\/4, 0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 45758418?\nAnswer: 457584180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 + 4. Let n = -126 - -122.04. Let j = -0.96 - n. Which is the smallest value? (a) j (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 - 20*o + 12. Let n be z(6). Let k(s) = -s + 99. Let t be k(n). Let p = t + 0. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let m = -2 - -4. Let b = m - 3. What is the nearest to a in 0.5, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 209077744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 418*l**2 + 252*l wrt l.\nAnswer: 836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -5*c**3 - 923. Let q(h) = 19*h. Calculate a(q(p)).\nAnswer: -5415*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 5*s - 11*s - 8*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 646267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 31 = -4*u - 3, 0 = -y + 5*u - 21. Suppose -61 = y*n - 69. Solve -3*s = -n*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/92 - -389\/644. Which is the smallest value? (a) p (b) -2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 115, 111, 105?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -152*1162\nAnswer: -176624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, -176, -29, -5 in increasing order.\nAnswer: -176, -29, -10, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**10)))**6*k**(-3\/14)*k**(-6\/19)*k assuming k is positive.\nAnswer: k**(17681\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 203, 230, 257, 284, 311?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 17083 and 17160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8468.053 - 8472. Let y = h - 0.053. Sort 4, 0, y, -0.3 in decreasing order.\nAnswer: 4, 0, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/((w*(w\/(w\/w**(2\/9)*w))\/w*w*w)\/w))*w*w))\/w*w)**(-5)\/(w**(1\/3)\/(w*w**(-4\/11)*w)))**(1\/18) assuming w is positive.\nAnswer: w**(367\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 65 from -1241888.6009.\nAnswer: -1241953.6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*b = 296*b + 103*b - 7250 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3079, 3065, 3035, 2983, 2903, 2789?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 9:44 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 12:12 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 6562.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 8 + 9 + 4*f - 6 as p + r*f and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -33*j - 30. Calculate f(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -520420 + 40071771\/77. Let z = -53\/7 - x. Let d = -0.2 - -0.2. Which is the second biggest value? (a) z (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3282104 and 85183?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p + 0*p)*(0 - 1 + 0) - 5433*p - p**3 + 5435*p - 87 + 316.\nAnswer: -2*p**3 + 2*p + 229","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172566656 + -10.\nAnswer: -172566666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42938.\nAnswer: 2, 7, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55177601.\nAnswer: 6823, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*s - 56063 + 223461. Suppose 5*w = -4*l + 7923, -5*l + 4*w = -s - 2305. List the prime factors of l.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41*22\/(-902))\/((-1)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-14))\/((-525)\/441*4\/((-60)\/9))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37609858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/(-1*2). Let f be 2\/(-7) - 30\/(-7). Suppose 3*z = -4*o - z + 4, 4 = f*o + z. Is o greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136990577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g, -2*k + 3*k + 12*g = -2*k + 10*g + 35 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5048838355?\nAnswer: 5, 11, 167, 549683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -0.4, -6.59, 0.2, -66, 2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -471 and -0.072226.\nAnswer: -471.072226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5443728?\nAnswer: 2, 3, 19, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, -5, -0.1, -143\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.9677663 + 0.01?\nAnswer: 376.9777663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.645 - 1731721.7.\nAnswer: -1731708.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (520\/(-624))\/((-2)\/(-4)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 3, w: 4, n: 8, k: 2, e: 2}. Give prob of sequence wne.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2. Let g(k) = -28*k + 8. What is g(t(o))?\nAnswer: -252*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 3*s + 1. Let h(f) = 6*f**2 - 3*f. Let p(y) = -3*h(y) - 4*z(y). Let i be p(3). Solve -i*k - 12 = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and 107\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2024885 and -0.074?\nAnswer: 2024884.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from pppe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30113310321 (base 4) to base 5\nAnswer: -1312241241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.0894ug in milligrams?\nAnswer: 0.5040894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 4 - 3 - -24. What is the second derivative of v*x**2 - 8*x - 9*x - 4 + 22*x wrt x?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268603059 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185, -368, -551, -734?\n\"Answer: -183*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-22)\/33). Suppose 11*d - 5*y = -2*y - 53, -2*d - 23 = -5*y. What is the second smallest value in -1, d, l, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, h: 9}. Give prob of picking 4 h.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 69224, -12 in ascending order.\nAnswer: -12, 4, 69224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 + -226. Let w be 28\/t + (-14)\/2. Let c(l) = -l**3 - 3*l**2 + 2*l + 3. Determine c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-m**3 - m + m) + (-8 + 7 + 3)*(-372*m**3 - 425*m**3 + 45*m**3) in the form x*m**2 + y*m + k*m**3 + d and give k.\nAnswer: -1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and 0.1.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-36)\/16)\/(36\/(-111)) + -5 and -85\/184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a + 8. Determine m(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*o + 3*n - 2, 2*n = -o + 10. Let c(z) = -1 - 2*z - 4 + 3*z**2 - 5*z - o*z**2. Let y be c(8). Solve 2 = y*u - 9*p + 4*p, 3*u - 20 = -4*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 3*i**2 + i**3 + 3*i**2 + 11*i**3 - 19*i**3 + 6*i**3 - 2*i as r*i**3 + j*i**2 + w + q*i and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 20605*s**2 + 21217995*s + 21238605.\nAnswer: 5*(s - 2061)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 79 = -2*l - 17, 2*l = -2. Let x be (-5)\/(10\/(-4)) + h. Suppose 0 = 3*f - 6*f + x. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281.7446 to 1 dp.\nAnswer: -281.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9454\/14 - -3*(-8)\/84. Let f = -8 + w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 26.8.\nAnswer: 5.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 14 + 0*a**5 + 0*a**2 + 0*a**6 + 0*a + a**7 + 0*a**4 + 5\/3*a**3. Find the third derivative of m(p) wrt p.\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3 + 2358*d**2 + 40640*d wrt d.\nAnswer: 54*d + 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) - 8\/16. Let a = 740.9 - 741. What is the smallest value in y, a, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8 + 28. Let z(t) = -10*t + 17*t - 11*t - 5*t + 25 + 8*t. What are the prime factors of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0.190411605349?\nAnswer: -4.809588394651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -900*z**3 - 894*z**3 + 1 - 4*z**2 - z**4 + 1795*z**3 to the form s + p*z**2 + c*z**4 + j*z**3 + o*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4597*m**2*r**2 - 308*m**2*r - 4*m**2 + m*r + 2*r**4 + 2*r wrt r.\nAnswer: -9194*m**2 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-96\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + m**2 - m + 1. Let f be c(1). Let q = f - 3. Suppose 2*z - 7*z - 5 = q. Sort -5, z, 2 in descending order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 13*v**2 + 45*v + 76. Let l be m(-11). Which is bigger: l or -1236\/7?\nAnswer: -1236\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 44 + -31 + 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*x - 4*j, -7*x - 21*j + 30 = -16*j. Sort 4, x, 3, -3, -70 in descending order.\nAnswer: x, 4, 3, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364086559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * -22.3198\nAnswer: -102.67108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -151602 divided by 75801?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f - 55*f + 17*f + 19*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375614 divided by 30.\nAnswer: -187807\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let h(i) = -i**3 + 3*i**2 + 4*i + 1. Let q be h(4). Suppose -2*k + 3*k - q = 0. Do k and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/7)*z**(-2\/3)*z*z*z*z**(-3\/10)*z\/((z\/z**(-2\/3)*z)\/z))**19 assuming z is positive.\nAnswer: z**(7733\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {f: 7, c: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 3*b + 214. Suppose 17 = -156*z + 157*z. What is the tens digit of w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z - 1)*(0*z - 2*z + z - 1 + 1 + z + (-4*z + 4*z + z)*(7 + 0 - 2)) + z**2 + 3*z - 3*z.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2772 and 19397637?\nAnswer: 853496028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12393877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-25))\/(-6*25\/(-1000)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a20 + -2?\nAnswer: a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i + 10. Let x(z) = -z - 2. Let o = -58 + 60. Give o*l(y) + 11*x(y).\nAnswer: 2*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, k: 1, s: 1, z: 1}. Give prob of sequence zsn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 84*x - 147. What is the thousands digit of s(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01651685 to 4 dps.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112460154 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*l - 72*l + 18. Suppose 9*r - l*r + 3*h = 3, -3*r + h + 7 = 0. Solve n + 5 = 0, -10 = -5*k - r*n - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65640718333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose d = 4*b - 3*x - x, 0 = b - 2*x + 4. Solve 0*l - 4 = -b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10*z - 55 = 9*z, -4*z = 3*d + 151. Let h = 869 + d. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, -26, 3, 6126, -0.2 in increasing order.\nAnswer: -26, -2\/3, -0.2, 0.4, 3, 6126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-18) - (2 - 0). Let l(y) = 4*y + 4. Let c be l(5). Let s be -1 - ((-6)\/39 - c\/13). What is the biggest value in 0.07, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 - -318. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 7. What is c(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((2\/12)\/((-477)\/(-106)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u**2 - 3*u**2 + 3*u**2)*(-2*u**2 - 3*u**2 + 3*u**2) + (-1 - 2 + 1)*(2393*u - 2393*u + 315*u**4) to y*u**3 + d*u**4 + m*u + x*u**2 + i and give d.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3\/7 - 330*y**2 - 264576*y\/7 - 7089888\/7 = 0.\nAnswer: -52, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-4))\/((-3)\/12). Solve w + 5*i + z + 0 = 0, -17 = -2*w + 3*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - y**2 - 3*y**2)*(-2*y - 3*y + 4*y) + (734557 - 734557 - 874*y**2)*(2 - 2 + 2*y) as d*y**3 + f + r*y + z*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 + 332630*d**2\/3 + 12293561293*d\/6 - 1365967681\/3.\nAnswer: (d + 36959)**2*(9*d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 32*j + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 3. Let q be w(8). Suppose q*o - 8 = o. Suppose g - 2 = 2, -38 = -2*l + o*g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -b - 3*b + 3, 0 = -2*b + 3*h - 9. Suppose -3*m + 0*m + 12 = b. What is the highest common divisor of m and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**7*x)\/(x*x\/(x\/(x*x**(-3\/5))))*(x**(2\/7))**33 assuming x is positive.\nAnswer: x**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 0 + 12\/7*m**3 - 6\/7*m.\nAnswer: 3*m*(m - 2)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -107. What is the remainder when 66 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12*o**3 - 22*o**2 - 20*o - 6. Let m(q) = -q**2 + q + 1. Let g(z) = -4*m(z) - y(z). Find d, given that g(d) = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105788576.\nAnswer: 2, 467, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -629 - a33?\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 40. Calculate the remainder when (-2)\/(-5) - (-88)\/5 is divided by f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 123. Let v = a - 86. Let 0 - 1\/3*s**v + 8\/3*s - 2*s**3 - 5\/3*s**4 + 4\/3*s**2 = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/1*-1*1. Let y = h - -67\/3. Which is the closest to 1? (a) -5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24356, -24355, -24354, -24353, -24352?\n\"Answer: f - 24357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27124146 divided by -1134?\nAnswer: 23919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54204853 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z - 32. Let m be o(-3). What are the prime factors of 13*(-6 - 2 - m)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-28)*m\/((m*m*m**(9\/7))\/m))\/(m**8*m*m*m**4) assuming m is positive.\nAnswer: m**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 507.85 + 5.15. Let n = 519 - o. Sort -13, -0.1, n in decreasing order.\nAnswer: n, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13900996 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 28*l**2 + 29*l + 18. Let i be b(15). Solve -4*v + 6 = -2*k, -i*v - 3*k = -2*k - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - p - 1 = 1, 0 = -3*o + 5*p - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.9. Which is the closest to i? (a) -2 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**3 + 18*i**3 + 19*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2503356 (base 7) to base 14\nAnswer: 84b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 - 2*d**2 + 4*d - 3. What is k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - u + 1470, 0 = 4*n - 3*u + 2942. Let x = -414 - n. What is x rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/14 - (-21 - (537420\/455)\/(-52))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013693 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20965193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*c + 374 - 374 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2. Let x(s) = -s - 1. Let l(v) = 4*u(v) - 3*x(v). Is 11 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2 - (0\/(-10) + 0). Let y be -7 - -8 - 3*l\/(-10). Which is the second smallest value? (a) y (b) 3.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51708 greater than -51707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9979 + -0.0021. What is the fourth smallest value in y, 3, 5, 2\/71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 684 - 6?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -215. What are the prime factors of t*1 - (-397 + 43)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksv when three letters picked without replacement from {v: 2, s: 2, k: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 = -3*x. Let a = x + -1. Let h be 1 - ((-3)\/a)\/3. Is h greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*2\/(-3). Let m be 2*(p + (-99)\/(-6)). Suppose -3*b + m = -4. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9818948353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 101 - 11. Suppose y - 352 = -o. What is the highest common divisor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i + 3 + 58*i + 44*i**2 - 26*i.\nAnswer: 44*i**2 + 11*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-72)\/(-63)) + (-2)\/14*6. Which is smaller: k or 2\/9711?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3d?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/10 + 11*h**3\/6 + 2*h**2. What is the derivative of k(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 716531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -22*r**4 - 316*r**3 - 1725*r**2 - 9. Let t(z) = -10*z**4 - 158*z**3 - 864*z**2 - 4. Let b(w) = -4*f(w) + 9*t(w). Factor b(p).\nAnswer: -2*p**2*(p + 6)*(p + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 13*p - 10*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 4*p**2 + 3*p**2 + (-1 + p**2 + 1)*(-4 + 4 + 1) + (-5*p + p + 2*p)*(5 + 2*p - 5).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.472 - 0.21. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 5*g - 18*g + 324 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 2*s**3 + 10*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 0.001?\nAnswer: 0.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*j + 2756, -2768 = -2*k - k + 5*j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2434000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -5*k, -k = 3*a - 85 + 121. Let u(n) = n**3 + 11*n**2 - 3*n - 9. Calculate u(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 3*y**2 + 0*y - y**2. Let n be 24\/(-4) - -1 - -6. Determine x(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752549.5 decades to years.\nAnswer: 7525495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 12:41 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 4*b. Let r(j) = 7330*j**3 - 6717*j**2 + 12*j. Let c(v) = -3*m(v) - r(v). Find the third derivative of c(n) wrt n.\nAnswer: -43980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 - 4. Factor -8*p**b + 4*p**3 + 72 - 6*p**2 + 22*p - 10*p**2 - 10*p.\nAnswer: -4*(p - 2)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, 3 in decreasing order.\nAnswer: 3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32296?\nAnswer: 2, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2836 + -2810. Let b be (8\/10)\/(6\/15). Suppose -8 = b*p - 6*p. Calculate the lowest common multiple of p and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*v - 44417 - 5479, 0 = -5*o + 2*v + 62384. List the prime factors of o.\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 5796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**6)\/m)\/(m*m*m*m**(1\/6))*(m**0)**(-3\/17))**(-15) assuming m is positive.\nAnswer: m**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310900 rounded to the nearest 1000?\nAnswer: 311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2400 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 381962 or 381961?\nAnswer: 381961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 15, d: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 15. What is the remainder when (-148)\/f + 10\/(-15) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 2:38 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(6\/11)*j)**(-1\/18)*((((j*j**20)\/j)\/j)\/j)\/(j**28*j) assuming j is positive.\nAnswer: j**(-1103\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50967046 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 77419, 77418, 77417, 77416?\n\"Answer: -l + 77420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 199*h**2 + 2*h. Let q(g) = 47*g. What is q(c(u))?\nAnswer: 9353*u**2 + 94*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 15*x**2 + 117*x + 78. Determine a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 6 + -86 - (0 + 46 + 1).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*f**3*j - 7689384*f**3*x + 158*f**2*j**3 - f**2*j + 52*f*j**3*x + 4*f*j**3 - 33*j**2 wrt x.\nAnswer: -7689384*f**3 + 52*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -365635620?\nAnswer: 365635617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218.246 + 148.303. Let b = v - -70. Let h = 0.05746 - b. Round h to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 + 176*h**4\/13 - 444*h**3\/13 + 536*h**2\/13 - 314*h\/13 + 72\/13.\nAnswer: -2*(h - 1)**4*(13*h - 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 168\/32 - ((-299)\/(-92) + -5). Let 168\/13*k - 2\/13*k**q - 3528\/13 = 0. What is k?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.6 + -3.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 9 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 14*l + 21. Calculate o(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 12. Does 22 divide b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**2 + 10*c**2 + 7*c**2 + 5*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120698 divided by -722907?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:42 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00256534 to 5 dps.\nAnswer: -0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/388352 and 145\/1165056.\nAnswer: 1165056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 293 - 179 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132145 and 3745.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s - 0*s. Let z = -17834 - -17856. What is the remainder when z is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 + r**5\/12 - r**4\/4 - r**3\/6 + 12*r**2. Determine d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) + 6*2*sqrt(190) - sqrt(190)))*-4)\/(-2*sqrt(640)*2 + sqrt(640)).\nAnswer: 13*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5294767 and 4869?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104 and 208099.\nAnswer: 207995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39340579 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5848?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456271 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4729337.\nAnswer: 4729337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -284769?\nAnswer: 2\/284769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.478 + 3.331. Let n = -0.617 - i. Round n to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5*g**3\/3 - 2*g**2 - 3*g + 1. Let o = 182724 + -182726. Give d(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 12*s = -v - 81, -s + 5*v - 37 = 0. Sort -4, 2, s.\nAnswer: s, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 3}. Give prob of sequence ffu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/792837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 134? (a) 213 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 4. Let b be q(-6). Suppose v + 6 = -o - 0, 4*v + 2*o = -16. Does 13 divide (-13)\/(v*b\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*l - 3*q + q, -12 = 3*q. Let i(o) = 17*o**3 + 3*o**2 - 3*o + 21. Is i(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 - 2*y**2 - 13*y**2)*(0 - 1 + 2) - 20 - 26*y**2 - 3*y + 18 + 28*y**2.\nAnswer: -6*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.849 minus -2.35?\nAnswer: -4.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let r be -1 - -4 - (12\/(-3) - -3). Let v(w) = -w**2 + r*w**2 + 2*w**2 + 2*w**2. Give l(v(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11477.305 days in weeks?\nAnswer: 1639.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-3*q + 4*q + 8*q)*(-7 + 8 - 2*q - 6 - q**2).\nAnswer: -27*q**3 - 54*q**2 - 135*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 5 + a**2 + 440*a - 439*a - 224*a**4 + 67*a**4 + 2*a**2 to t*a**2 + y*a**3 + s*a + f + i*a**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*m + 22*m + 21*m = -24*m + 48 - 18, m + 13 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-608)\/(-120) - (-4)\/(-10))*-3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601727, 1203451, 1805173, 2406887, 3008587, 3610267, 4211921, 4813543?\nAnswer: 5415127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000302619 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/3 + (-3)\/(-9). Find the common denominator of 30\/(-70) - ((-26)\/77 - 0) and (4 - 31)\/(a\/1).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 44 - 2*p - 16*p**3 + 15 - 51.\nAnswer: -16*p**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 8:09 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 1739976*u**4 - 189252836832*u**3 - 7189784406464*u**2 - 74919069292608*u - 122592995814528 = 0. What is u?\nAnswer: -217478, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.5960883 - -0.06?\nAnswer: -41.5360883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 29*j + 5. Let w be v(7). What is the nearest to -1 in -0.03, w, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 7. Let p = -1 + w. Suppose -35 + 11 = -2*j. What is the remainder when j is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8049.079 days to microseconds.\nAnswer: 695440425600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, -34 in descending order.\nAnswer: 2, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**7\/2520 + t**5\/120 - t**4\/6 + 3*t. Let b(j) be the third derivative of h(j). What is the first derivative of b(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 4*w)*(-188*w**2 - 13081*w + 13081*w) + 3*w**2 + w**3 - 3*w**2.\nAnswer: -187*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6*x = -6. Let c(p) = 96 - 96 + x*p. Let s(j) = -8*j**2. Calculate s(c(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-18) + 32\/63)*-7. Let k(o) = 2*o**2 + 4*o + 5. Give k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -y + r - 4, 0 = -5*y + r. Let g be y + 4 - 9\/3. Put g, 3, 0 in increasing order.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-1 + 5*(sqrt(153) + -2*sqrt(153)))\/(2*sqrt(63)\/((sqrt(56)*-2)\/sqrt(8))).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f - 3. Let o be l(4). Suppose -5*s + o = -25. What is the least common multiple of s\/27 + 50\/18 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429883615?\nAnswer: 5, 7, 367, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g - 1398 - 9085 - 182 = -86*g for g.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 + -272.00552. What is s rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.88.\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v + 8. Let l(w) = 7*w - 7. Let x(g) = -5*l(g) - 4*s(g). Suppose 0 = -4*y + 9 + 7. Give x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13897619 (base 10) to base 6.\nAnswer: 1213512455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2497422726 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 18 + 26 = 0. Suppose 0 = g - 5*g + 2*t + v, -5*g = -t - 10. Solve g*w - 11*w = -8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575159 is divided by 2238.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20 = -0*r. Suppose -4*l - 25 = 5*c + l, -4*c + 5*l - r = 0. Let a(g) = g**3 - 6*g**2 - 2*g + 6. Let t be a(6). Sort t, c, 1 in decreasing order.\nAnswer: 1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -41*h + 61*h + 117 - 28*h. Let i be f(14). Solve -g + 7 - i = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272.266 to the nearest integer.\nAnswer: -1272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.4, 4, 0.3 in decreasing order.\nAnswer: 4, 0.7, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 5\/2*h**6 + 16\/3*h**3 - 8 + 0*h**4. What is the third derivative of o(j) wrt j?\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60555859217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4419, 4416, 4413, 4410, 4407, 4404?\nAnswer: 4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11956 + -12046 + 99 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20605934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1621104341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**3 - 4*t + 5. Let m be (9\/6)\/(2587\/(-182) - -14). Let n(z) = 15*z**3 - 7*z + 9. Determine m*b(q) + 4*n(q).\nAnswer: 11*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*(-5)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97003093.\nAnswer: 11, 163, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 38 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -24.09. Which is the third biggest value? (a) 2\/11 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 292040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273269.\nAnswer: 273269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 17*r**2 - 31*r - 13. Let g be b(-15). Suppose 4 = g*z - 4. Let o be (125\/(-15) + 9)\/((-1)\/(-18)). Solve -z*n + 4 = -o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 32780090*n + 65560160.\nAnswer: 5*(n + 2)*(n + 6556016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1064607 - 1?\nAnswer: -1064608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 629.6573761 + -629.66. What is n rounded to five decimal places?\nAnswer: -0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81\/2 - 33\/4*s - 1\/4*s**2 = 0 for s.\nAnswer: -27, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2982)\/(-142)*(-8)\/504?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 5*q + 3*q - 40 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {z: 1, b: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263323444.\nAnswer: 2, 1129, 58309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1411600 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18504 divided by 2\nAnswer: -9252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.2 (b) -3 (c) 2\/9 (d) 0.29388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07967933542 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (64 - (199 + -51)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4*m**5\/5 + 7*m + 3. Differentiate y(b) wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20694367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*o + 5, -2*o - 9 = -2*z + z. Suppose y + 54 = -z*b, 2*y = 2*b - 7*b - 93. Let h = y - -364\/9. What is the common denominator of h and -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1472 and 7552.\nAnswer: 173696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 10*r**2 - 20*r + 22. Calculate the remainder when 900 is divided by y(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0.3 (c) 0.2 (d) 1 (e) 49734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 83*b**2 + 67*b + 1231. Let h be l(82). Is h at least as big as -1\/7140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v + 15. Let u(b) = 2*b + 3. Let n(k) = g(k) - 5*u(k). Let m(t) = -11*t - 26. Determine n(m(w)).\nAnswer: -11*w - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24136413 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2167753, -2167709, -2167667, -2167627, -2167589, -2167553, -2167519?\nAnswer: -2167487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8 - 10 + 261*d**2.\nAnswer: 261*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 10*k + 12. Let n be g(9). Suppose -5*r - j = -5*j + 6, n*r - 3*j + 6 = 0. What is the lowest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 + 5*d + 10. Let a be v(5). Suppose 4*g - a = -109. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -4*a + 4, 2*a + 2*i - 4 = 0. Let g be ((-1)\/1)\/((-1)\/(-6)). Let z be (0 - g)\/2*5. Solve a = -0*l + 3*l - z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbsp when four letters picked without replacement from {s: 2, b: 4, p: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 b when four letters picked without replacement from bbubbbuuuubu.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 311688 and 1454544.\nAnswer: 4363632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 6*r**2 + 0*r**2 + (-2*r**2 + 6*r**2 - 2*r**2)*(-2 + 0 + 3) + 0*r**2 - r**2 + 3*r**2 - 27*r**2 + 5 - 5)*(0*r**3 + 2*r**3 + 0*r**3).\nAnswer: -50*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 9*g**2 + 2*g - 6. Let n be r(-6). Suppose 2*o - 10 = o. Calculate the highest common divisor of n and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:04 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3741*y - 72*y + 69*y + 778*y + 1457*y to the form l + i*y and give i.\nAnswer: 5973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 0*j**2 + 0*j + 3 + 1\/90*j**6 + 0*j**5 - 1\/24*j**4 + 4\/3*j**3. Let p(l) be the third derivative of a(l). What is p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 4*w - 8. Let b = -39 - -45. Let l be x(b). Suppose s = 5*o + 2*s - 1707, l*s + 1697 = 5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223387508866 and 4.\nAnswer: -223387508862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 856 = 3*x, -4*x - 4*g = -g - 1143. Suppose 846 = 2*i + x. Does 17 divide ((-1)\/2)\/((-3)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -216. Suppose -d - 3*d - 3*f + c = 0, -2*d + 4*f = -72. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12002122 (base 5) to base 6\nAnswer: 2203410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 2*i + 1\/12*i**4 + 1\/6*i**3 + 0 + 0*i**2 + 1\/4*i**5. Determine c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 15*h**2 - 6*h - 112. Let g be q(-15). Are g and -190\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. Put -5, m, -3 in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4 - 26 - 70*w + w**3 + 22*w**2 + 21*w. Let l be y(-24). Factor -2\/5*a**4 - 2\/5 + 8\/5*a - 12\/5*a**l + 8\/5*a**3.\nAnswer: -2*(a - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-49)*2079\/(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 230 = -2*k, 2*f + k = -63 + 518. Calculate the least common multiple of f and 4.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -4, 0.1, 1.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - d + 0*d - 2*d. Let c(l) = -22*l. Determine c(k(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -171*h**3 - 20857*h**2 + 611*h + 163. Give z(-122).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t + 272*t**2 - 5*t - 8916 - 12*t - 268*t**2.\nAnswer: 4*t**2 - 8916","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1986 and 0.04.\nAnswer: 79.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296577, -296765, -297079, -297519, -298085, -298777, -299595?\nAnswer: -300539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*p = 68, 9*x = -4*x - 2*p + p + 221 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 0*p**2 - 1\/3*p**3 - 10 + 4*p. Factor c(o).\nAnswer: -(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 3, q: 3}. What is prob of sequence qns?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 36662\nAnswer: -1\/36662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 1, j: 1, k: 4}. Give prob of picking 3 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*18\/81*6\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14663 and 12351020.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*p - 3*x + 11, 8 = -2*x. Let u(i) be the first derivative of -4*i**2 - 3 - p + 2*i**2. Let f(z) = -3*z. Determine u(f(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 - 117 + 23 + 61)*(-a - 3*a + 2*a).\nAnswer: 424*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -5*u + 118 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - -269257847.\nAnswer: 269257847.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3760949, -7521570, -11282191, -15042812, -18803433, -22564054?\n\"Answer: -3760621*x - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndyy when four letters picked without replacement from {d: 1, y: 9, n: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 - -156.99825. What is k rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-7 + 18 + -6 + -11)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49782 (base 10) to base 11\nAnswer: -34447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/560 and -13\/14?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 6*g + 22)*(-3 - 2 + 6 + 3 - 2 - 2 + 0 + 0 + 1 + (3 - 4 + 3)*(0 + 0 + 2) - 1 - 3 + 3).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149298 divided by 2?\nAnswer: 74649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/13))\/(o**4\/o*o))**27*(o*o**(-2\/11))\/o*o\/(o**7\/o)*o*(o**3\/o)\/(o**2\/o) assuming o is positive.\nAnswer: o**(-11444\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6424*h - 6188*h + 708 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71911594 to the nearest integer?\nAnswer: 8480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5 - 1)) + (-8 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 + 8*f + 2. Let n(d) = 4*d**2 + 7*d + 3. Calculate -3*c(m) + 4*n(m).\nAnswer: m**2 + 4*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -3. Let m be (18 - (-4 + 2))*(-43)\/n. Find the common denominator of -19\/4 and (-155)\/m + (-1 - 0).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -235 and 903 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -61 - 33 + 25 + 8*f. Let g be b(9). Solve -2*n + 21 = -v + g*n, -3*n - 1 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/15 - (-12)\/(-90). Is g less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192070964?\nAnswer: 2, 17, 83, 34031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/45 - 0)*-15. Is -12 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93277+1.412\nAnswer: -93275.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 4873394.\nAnswer: 17\/4873394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/7 - 276*q\/7 - 6348\/7 = 0. Calculate q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-7)\/(-1))*-48. Calculate the greatest common divisor of 252 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 - -5)) + -2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3889*f - 930016. Determine l(226).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1377)*2 + sqrt(1377) + 6*(sqrt(1377) + -2 + sqrt(1377)))*6*5)**2.\nAnswer: -3888000*sqrt(17) + 279072900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -239, -237, -237, -239, -243?\n\"Answer: -l**2 + 5*l - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12797.7094 rounded to the nearest 100?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 4, f: 1, x: 1, n: 1, i: 1}. What is prob of picking 1 t, 1 n, 1 x, and 1 f?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58152967 and 5007?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 27901 - 27897 + 55798.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31127.\nAnswer: 17, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*q - 20, 0 = q - 5*t + 3*t - 2. Let o(p) = p**2 - 15 - 4*p - 16 + p**3 + 28. Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:06 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 20445246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i + 5*i. Suppose 6*u = i*u + 4, 0 = 3*f - 5*u - 286. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3032488727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.81644us to minutes.\nAnswer: 0.000000480274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 1868 = -1912 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -14. What are the prime factors of (13 - -2)\/(u\/(-27))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -6. Let m be ((-54)\/21)\/(-6) - 54\/l. Solve -o - m*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**8\/480 - m**7\/1260 - m**4\/12 - 6*m. Let p(r) be the third derivative of d(r). What is the third derivative of p(q) wrt q?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 17. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s + 9, -5*u - 10186 = -2*s. What is the common denominator of -113\/6 and (-2)\/10 - (4 - u\/(-480))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + c + 6*c - 7*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 6*l + 6*l)*(l - l - l)*((1 - 3 + 0)*(-2 - 1 + 2) + 8 - 9 + 23 + 1 - 1 - 2 + 1 - 2 + 8).\nAnswer: -116*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753827322?\nAnswer: 2, 3, 79, 313, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694885 divided by 30?\nAnswer: 338977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7673\/4 at most as big as 1919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2585 and -2?\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.1, 3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167956 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 6. Let z be g(6). Let d be 12\/(-54) - (-76)\/z. Find the first derivative of d + i**2 - i**2 + 2*i**2 + i**2 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 0 + 0)*(-2*l + l + 0*l + (81 - 19 + 31)*(-4*l - 15*l + 5*l)).\nAnswer: -5212*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 621*x**2 - 218*x**3 - 621*x**2 + 0*x + 0*x - x**3 + x**3 - x**3 + x**3 + (-4*x + 2*x + 0*x)*(-3*x**2 + 2*x**2 + 0*x**2).\nAnswer: -216*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-3)\/72 - 0. Let n(z) be the first derivative of 0*z**5 + 0*z + 0*z**4 + z**2 - f*z**6 + 0*z**3 - 2. Find the second derivative of n(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2464 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/30 + x**4\/6 + 10*x**3\/3 + 31*x**2. What are the prime factors of k(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3 = -3*x. List the prime factors of (5 + 0\/x)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37433638, 37433644, 37433650?\n\"Answer: 6*x + 37433632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8*h - 2)*(-3 - h - 2 + 6).\nAnswer: -8*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*n = -82, 4*d - 80 = n - 3*n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*p = -88*p + 237*p + 4832 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012 + -1?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-121) - (-26)\/22)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -16.2. Let w = c + -43. Let h(d) = -d**2 - 12*d - 2. Let p be h(-12). What is the fourth biggest value in p, 3, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**4 - x**2)*(-2 + 1 - 1).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + g = 5*f + 3, f = -5*g + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 183*g**3\/2 - 223*g**2\/2 - 2*g + 13. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 155287*p**3 - 155282*p**3 + 310566*p**3.\nAnswer: -3*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + a - 36083 = 6*x, -4*x + 3*a = -48128. Let h = x - 8346. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - 3*l - 3. Let d be x(4). Which is greater: d or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**3 + 201*b**2 + 248*b - 854. Give c(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 1162 = -2*i - 1136, -24 = -3*x + 3*i for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 115*q - 577. Let l be h(5). Which is the closest to 1\/23? (a) -1 (b) -0.03 (c) l (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*6\/(-294))\/(240\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.12 - 0.72. Let l = 36 - o. Let j = -4.99 - 0.01. What is the second smallest value in l, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 5, q: 2}. What is prob of sequence tq?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/28, 1.52, 0, -2.51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -31. Suppose 5*m = h - 2*h + n, 2*h + 5*m = 16. Let b(r) = -2*r**3. Let p(l) be the first derivative of -3*l**4\/4 + 1. Calculate h*p(x) - 5*b(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/120 - h**5\/15 - h**4\/4 + 7*h**3\/6 - 105*h**2. Let g be p(5). Solve 0 = -4*a - 20, g*x + a + 2 - 1 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/1242209 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 184. Let j be (-284)\/n - (5 - 2). Is j at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-298430.\nAnswer: -119372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5873306 is divided by 93.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -387*k**5\/4 - 2323*k**4\/2 - 7377*k**3\/4 + 2303*k**2\/2 + 1941*k + 10 = 0.\nAnswer: -10, -2, -1, -2\/387, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/72*45\/30.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -29.6296 times 201\nAnswer: -5955.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 7) in base 5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205713 divided by 26.\nAnswer: -205713\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4208, -6, 3 in increasing order.\nAnswer: -4208, -7, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (546\/(-702))\/((-42)\/(-126) - 3\/12)\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Let v be (2\/w)\/(3\/(-18)). Suppose 3 + 42 = v*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2 + 5)*(0 - 2). Let k(y) = 2*y - 6. Let t(j) = j + 1. Let b(g) = m*k(g) - 6*t(g). Let a(u) = 3*u**2. Calculate a(b(n)).\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19529113*b**6 + 377991*b**2 + 11*b - 1 wrt b.\nAnswer: -2343493560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**(-20\/9)*(l**(-2\/7))**20*(l*l**(-2\/7))**8\/(l\/(l*l**(1\/2)))**(-9) assuming l is positive.\nAnswer: l**(-487\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 3*u - u)*(4 - 3 - 2 + (-4 + 4 + 2)*(1 + 3 - 3)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:18 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 327 - 322. Calculate the remainder when 2 + -4 + 2 + 13 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268380716236+-2\nAnswer: -268380716238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002923 to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3) - 0)*-1. Suppose p*n - 92 = -2*n. Let b = n - 33. What is the remainder when 25 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34540523 (base 7) in base 8?\nAnswer: -13447766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4*m + 9. Let z be d(-8). What is the tens digit of 6 + (0 - 4) - z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35069 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -26*h**2 + 7*h - 536. Let n(k) = -4*k**2 + k + 7. Give f(c) - 6*n(c).\nAnswer: -2*c**2 + c - 578","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 4, y: 2}. What is prob of sequence ycc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 9*g**4 + (g**2 + 2 - 2)*(1 + g**2 - 1) - g + g - 2*g**4 - 3*g**3 - g**4 + 3*g**3.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -705, -1402, -2417?\nAnswer: -3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125*i + 0*i**3 + 0*i**3 + 136*i + 35*i**4 wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-3\/13))**(3\/16) assuming r is positive.\nAnswer: r**(3\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619.\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 30*q**2 + 475*q - 38. What is i(-16)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*c - 58*c + 2*m - 27804, -2*c - 3*m + 27809 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roarorar. Give prob of sequence roa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 + 250 + (-1 + -4 - -3) + -73.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.8 - -3.2. Which is the nearest to 2\/3? (a) 1\/12 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*b + 4*b - 148 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/40)\/((-9)\/15). Suppose -f*l + 2*a = 0, -4*l - 4 + 34 = 2*a. Solve -3*d - 24 + 5 = -l*k, -2*d - k = -9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -465?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, t: 2, s: 5, u: 3}. What is prob of sequence th?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdk when three letters picked without replacement from {k: 1, d: 2, f: 7, u: 2}?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/473)\/((-6)\/(-4))*82\/((-9348)\/(-171)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00161 + 0.19.\nAnswer: 0.18839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 14. Let g(a) = 3*a - 7. Let j be g(7). Let s be n(j). Let f = 1 + 5. Solve 0 = 2*l + f - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*i - 4, -249*j + 8 = -4*i - 254*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1 + 8 - 9) + (-2 - 26).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:44 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 1. Let o be v(3). Find the second derivative of 6*y**2 - 6*y**2 - 2*y**3 + 6*y**o + 2*y**3 - 126*y wrt y.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**14)**47\/(x*x\/((x**(-5\/4)\/x)\/x*x))**(-40\/7) assuming x is positive.\nAnswer: x**(5105\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1116386563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485283608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let g be (6\/(2 + 1))\/((-3)\/6). Let y be 3\/12 + (-6)\/(-8). Let z(f) = 8*f + 5. Let n(c) = g*b(c) + y*z(c). What is the derivative of n(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 smaller than 688944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z. Let a(u) = 4*u + 8*u - 27*u - u**3 + 0*u + 2 + 9*u. What is a(x) + 2*q(x)?\nAnswer: x**3 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvuuvuvvvvv. What is prob of sequence uvv?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12912 + 17274. Is n a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p = 6*p + 205 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-38))\/((-7)\/126) + (-10 - -11)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*v - 307. Suppose -v + 8 = -4*o. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-740)\/290820)\/(2\/(-12)*1)\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 261644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + 7*i**2 + 869*i + 1728. What is s(-2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -1)\/(12\/(-8 + 14)). Let q be (272\/340)\/(p\/(-15)). Let n(k) = k**3 - 6*k**2 + 2*k - 3. Determine n(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6772*w**3*z - 1997*w**3 + w**2 - 9*w*z**2 wrt z.\nAnswer: -6772*w**3 - 18*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22557 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.75567ml in litres?\nAnswer: 0.04575567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -1.21 in descending order.\nAnswer: -1.21, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -407*s**2 + 7*s - 22. Let j(o) = 203*o**2 - 4*o + 12. Calculate -6*c(g) - 11*j(g).\nAnswer: 209*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) - -3*(sqrt(612) + -2))) + 5*(sqrt(612) + 3) + 6*-1*sqrt(102)\/((sqrt(6) + sqrt(6) + (sqrt(6)*-1 - sqrt(6)) + sqrt(6))*-4))**2.\nAnswer: 567*sqrt(17) + 14157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 11. Give f(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let f(g) = 2*g. Let a(s) = 3*d(s) - f(s). Let q(w) be the first derivative of -w**3\/3 - 5. What is q(a(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let w(h) be the third derivative of h**5\/60 + 17*h**3\/6 - 4*h**2. Let v(p) be the first derivative of w(p). Calculate m(v(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021 + -20120102?\nAnswer: -20110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*u + 19 = u, 4*a - 2*u - 34 = 0. Suppose -a*q + 8*q + 3*s + 807 = 0, 2*q + 5*s - 847 = 0. List the prime factors of q.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 60*r - 24. Let b be g(-5). What is the common denominator of (-714)\/b + (-2)\/4 and -127\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3321 + 0?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/8 of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 + -19. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1991*p + 13474. Give v(7).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 57049*s\/4 - 171129.\nAnswer: -(s + 12)*(s + 114086)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -153130 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102283275.\nAnswer: 3, 5, 61, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100101010011 (base 2) in base 5?\nAnswer: -432200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 1, v: 2, o: 1}. What is prob of sequence eov?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/63 and -25\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 - 238. Suppose 2 = 5*c - h*k, 3*c - 5*k + 3 = c. Calculate the highest common factor of 37 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1404, 2, 4, -1 in ascending order.\nAnswer: -1, 2, 4, 1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 7, c: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 759010 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1651041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -1\/8, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.08, 64, 30, 5\/4, 0.05?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 + 3*i - 1. Let j be o(-2). Let y(b) = b. Let v(k) = 2*k - 5. Let z(h) = -v(h) + y(h). What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15869\/4 + -3945. Let c = 22 - i. What is the smallest value in -12, -1\/3, c?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and 13876803.\nAnswer: -3330432.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.3, -1, -0.08, -770 in decreasing order.\nAnswer: 2\/3, 0.3, -0.08, -1, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 419*m + 16409. Determine d(157).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5\/2, -9\/23, 5?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/180 + m**5\/15 - 17*m**4\/12 + 14*m. Let x(d) be the third derivative of q(d). Let z be x(-2). Solve g + z*g = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3789 = -5*r, -3*r - 3*i + 1011 = -1266. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 19. Suppose 0 = 3*h + 2*g - 34, o = h + 3*g + 2*g + 6. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 75*d**2 - 122*d + 1230. What is the hundreds digit of w(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6663208?\nAnswer: 2, 71, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481\/3 - -161. What is the second smallest value in -238, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:21 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*j + j = -3, -3*m = 5*j - 9. Let y be (3\/m)\/((-6)\/9544). Suppose 8086 = -h + y. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -189, -193, -197, -201?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 66*m - 511. What is u(9)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/2829 >= 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-6))\/5)\/((-385)\/(-420))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 3*p**2 - p**2)*(-4 - 2*p**2 + 4)*(-2 + 2 - 2).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6093.553 from -31183.3.\nAnswer: -25089.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 119151 = -19159. Let m = -1 + 5. Suppose 2*p - k = -2*h - 0*p, 0 = -2*h + m*p + 100016. Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14420*s + 7329*s + 16231*s + 18492*s to u + c*s and give c.\nAnswer: 27632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8560*v + 8563*v - 3*i = 21, -5*v - 5*i + 85 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 13601\/3)*15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from iofcfgff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727384773.\nAnswer: 19, 143546567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1241 - 1389 - 2797 - 6202 - 6620)*(-3*g - 2*g + 3*g + (-g - g + g)*(-3 - 2 + 7) + g + 2 - 2).\nAnswer: 47301*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 11*l**2 - 2*l - 1. Calculate the remainder when x(-11) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221871.75 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 26 = 10. Suppose 4*f - r = 2*f. Let n(p) = -p**3 + p**2 - p - 3. Let a be n(0). Sort f, -1, a in decreasing order.\nAnswer: f, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 2 + 2 + sqrt(684))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-576)\/(-56))\/((-3)\/(-28)). Suppose -2*h = 4*m - 178, 3*m = 4*h + k + 32. Solve 0 = -m*n + 48*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -7.1, -2.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -182, -247, -346, -479, -646, -847?\n\"Answer: -17*w**2 - 14*w - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/16 and -77\/14834.\nAnswer: 118672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -201677*0.04\nAnswer: -8067.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 + 4\/6*3. Let p be (d\/(-2))\/(4 + -5 - 1). Put 0, -5, p in decreasing order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1458 times 2\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 887a2 (base 14) in base 8?\nAnswer: 1206052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1788503, -1788516, -1788529, -1788536, -1788531, -1788508, -1788461, -1788384?\nAnswer: -1788271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1802309 and -101\/9896.\nAnswer: 14418472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15589 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*v + 7404 = 7449, 0 = -3*v + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 381968*h + 15660695. Calculate s(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*-10.26\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 1. Let f be d(-5). Solve -2*q + 6 = f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3 + 7*y**2\/2 + 39*y + 7. Let v(j) = -j**2 - 4*j - 20. Let c(h) = 4*u(h) + 7*v(h). Differentiate c(g) wrt g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 596, -566, -1, 2\/7 in descending order.\nAnswer: 596, 3, 2\/7, -0.3, -1, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 45?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 1312425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 406\/98)*-66. Which is the biggest value? (a) 10 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 25. Suppose -3*o - 3 = -6. Suppose -o = 3*b - h. What is the greatest common factor of b and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 + x**2)*(-5*x + 5*x**2 + 5*x).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -64968, 5, 3, -5 in descending order.\nAnswer: 5, 3, -5, -64968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 + 20 = -3*l + 2*b, 5*l - 199 = 4*b. Suppose -324 + l = -5*w. Let o = w - 31. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2661, -0.4, -3, 0.4, 1\/3, 0?\nAnswer: 2661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/14)*l**(-1\/12))\/(l\/(l**(2\/5)*l)*l)**(-29) assuming l is positive.\nAnswer: l**(7303\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 278\/17*w - 76\/17*w**2 + 2\/17*w**3.\nAnswer: 2*(w - 34)*(w - 3)*(w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -1.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135313953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, v: 2, b: 2, w: 1, e: 1}. Give prob of sequence ve.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039430, -1039436, -1039442?\nAnswer: -1039448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176.32 + -175. Let n = u - 1.72. Sort -1, n, 0.01 in descending order.\nAnswer: 0.01, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(-2 + 0 + 4) - 3 + 14 + 3 - 1 - 2 + 4)*(-5*v + 5*v - 2*v)*(3*v**2 - 4*v**2 - 5 + 7 + 5*v**4).\nAnswer: -170*v**5 + 34*v**3 - 68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032010223113 - 1?\nAnswer: 1032010223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34552*l**3 - 412*l**4 - 34552*l**3 + 3*l**4 - l**2 + l**2 - 3*l**4 - l**4 + 5*l**4 + (-1 - 1 + 0)*(1 - l**4 - 1).\nAnswer: -406*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8825 divided by 353.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*1*-3 - sqrt(1700)) + 0 + ((sqrt(1700) + -1 - sqrt(1700)) + -3)*-2 + 3)**2.\nAnswer: -880*sqrt(17) + 27321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 + 0*h**2)*(2*h + 1 - 1) + 4*h**3 + 9*h**2 - 9*h**2.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52153 is divided by 696?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -62 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-6)*4\/28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*1\/(4\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((18 - -20) + -16) - (0 + 3 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Let b = -1413 - -1410. Let f be 3\/(6\/14)*-1. Sort b, y, f in increasing order.\nAnswer: f, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1364709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116.6 + 130. Let d = b - 13. What is the third biggest value in -1\/8, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 274*k + 3286. What is t(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182750 and 23650.\nAnswer: 2010250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 845\/2 or 1?\nAnswer: 845\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + 146\/20. Let l = j + -22\/3. Let y(o) = -o**3 + 6*o**2 - 4*o - 6. Let u be y(5). Which is bigger: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5057 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/11 + 2\/(-11). Let l = z - -9. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -214\/9, 20, 0.2, -74?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -802 + 801.5. Which is the biggest value? (a) 4 (b) -1.2 (c) 0 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 9*d - 1092. What is v(-36)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**7\/21 - 2*p**4\/3 - 2*p. What is the third derivative of n(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 32*c**2 + 31*c + 25. Let t be v(-31). Suppose 32*n = t*n + 21. Solve 0 = n*f + 4*u + 4, -16 = -5*f - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 - 2 + 3 - 2 + (-3 + 5 + 0)*(1 - 3 + 4) + 0 + 5 - 3 + 2 + 0 - 3)*(3 - 2*b**2 - 3).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/20 + 4\/10. Let d = 0 - s. Let j be -5 + (2\/(-4) - (-735)\/70). What is the greatest common factor of d and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + -4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l. Let r(x) = 5725*x**2. Give d(r(y)).\nAnswer: 57250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 - (-1 - -29)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-425)*(-15)\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 70784*g + 6*g**3 + 70784*g.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = -5*c, 2*c = 3*c + 5*a - 20. Suppose -4*t - l + 27 + 222 = 0, c = 5*l - 25. Calculate the remainder when 154 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*x - 1. Suppose l - x*m = -16, 4*l + 11 = -m - 8. Let r(j) = j**3 + 7*j**2 + 6*j + 8. What are the prime factors of r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -8384559, -4?\nAnswer: -8384559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**2 - 1\/4*a**4 - 1 - 4\/3*a**3 - 4*a. What is the least common multiple of 10 and s(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 times -62\nAnswer: -6696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 15*k**2 + 34*k + 30. Let p be s(-17). What is the greatest common divisor of 4000 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*v - 260*v = -168 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29416, 117855, 265252, 471607, 736920?\nAnswer: 1061191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -29, 0, 4 in decreasing order.\nAnswer: 9, 4, 0, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 166 = -4*y, 8 = -2*y - 2*y. Suppose 0 = -5*a + 2*d + i, -3*a + 0*d + 51 = -3*d. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -17*d + 1. What are the prime factors of u(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 118*c**2 + 183*c + 87. What is the units digit of y(-57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*i - 1173 + 1173)*(13*i**3 - 7*i**3 - 7*i**3) - 3*i**2 - 2*i**4 + 3*i**2.\nAnswer: -259*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11*(1 - -1)*-1. Suppose -b = -x + 4*i, 2*x - i - i - 26 = 0. Are 9 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45209621 to the power of 1\/2, to the nearest integer?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63151475 and -0.0958296.\nAnswer: 63151474.9041704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let s = n - -4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34917 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 -13 > -1699\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -4*b. Let j = 1 - b. Let h be (-6)\/15 - (-22)\/5. Solve 8 = 2*w - j, -h*f - w = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038376 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111101 + 1110?\nAnswer: 100100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*6\/(-96))\/((-4)\/5376*-16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((26\/60)\/13). Differentiate y - 168*f**3 - 4 + 3 + 67*f**3 with respect to f.\nAnswer: -303*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111635923 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 110000110 (base 2) to base 16\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67571 and 45901.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g - 231*g + 2*g**2 + 14 + 74*g + 63*g.\nAnswer: 2*g**2 - 24*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**3 - 2*x**2 + 6*x + 7. Let b(n) be the second derivative of n**5\/20 + n**3\/6 + n**2\/2 + 322*n. What is -6*b(k) + i(k)?\nAnswer: 4*k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 + -132. Suppose -g = -2*g + r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/52 and 56\/35*(284\/(-56) - -4)?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35372, 70744, 106114, 141482, 176848?\nAnswer: 212212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1887241 millimeters?\nAnswer: 188724.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 + 2984397*w**2 - 1492198*w**2 - 2*w - 1492197*w**2 + 1 to the form m + a*w**2 + b*w + t*w**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyjjffsy. Give prob of sequence ijij.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77924295 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5270162281 to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 396 - -359. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 19 + 3*c - 4*c.\nAnswer: -c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -436956 divided by -1\nAnswer: 436956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r - 15. Let l = 24 - 17. Let s be j(l). What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549 is divided by 372.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/333762 and -20\/6123?\nAnswer: 52400634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1587 + 1590. Solve -12*a + u + 21 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -37*k + 5\/12*k**4 - 4\/5*k**6 + 0*k**5 + 0*k**3 + 0 + 0*k**2. Find the third derivative of l(w) wrt w.\nAnswer: -576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4 - 4)*(6*x**3 - 2*x**3 - 3*x**3) + (x**2 + 2*x**2 - x**2)*(-1 + 1 + x**2) - 3*x**4 + 2*x**4 + 5*x**4.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133162921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v - 19679. Let n(b) = -b. What is n(f(g))?\nAnswer: -8*g + 19679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 11*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690, 1406, 2150, 2934, 3770, 4670?\nAnswer: 5646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61040390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 95785435?\nAnswer: 95785439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**6\/15 + x**5\/10 + 7*x**2\/2 - 3*x. Let s(b) be the first derivative of l(b). What is the third derivative of s(q) wrt q?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 14*w = 22. Find the second derivative of -3*r**2 + r + w*r - 11*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -55, -87, -119, -151, -183?\n\"Answer: -32*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(-2*(sqrt(208) + 1*sqrt(208))*6 - (1*sqrt(208) + -2 - ((sqrt(208) - (1 + sqrt(208) + 0) - sqrt(208) - sqrt(208)) + sqrt(208))))*2)**2.\nAnswer: -13312*sqrt(13) + 8998976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -23. Suppose -i + s = 0, -4*i - u + 6 = -3*s. Suppose -544 = -3*b + a, i*a - 716 = -4*b + 3*a. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**2 - 4*f**2 + 1 + 0*f**2 - f**4 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24314.0044 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2281*k**3 - 123*k**2*u**2 + 676*u**2 + u - 719 wrt k.\nAnswer: -6843*k**2 - 246*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:07 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56 + 44)*3\/((-3)\/(-2)). Let l = w + 29. Suppose 3*b + 9 = 0, 3*y + l*b - 195 = 48. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 654.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13475 and 9625?\nAnswer: 67375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -11 - 1. Let m(q) = -q**3 + 7*q**2 + 7*q - 4. Let t be m(b). Let y = t - 51. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 7.86.\nAnswer: 3.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4*-6)\/((-16)\/480*-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*m**2*y**3 - 60*m**2*y - 4*m**2 - 8*y**3 - 1 wrt y?\nAnswer: -102*m**2*y - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 0 = 30. Is (0 - 2114)\/(5 - (l - -5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64717\/28 - 2311. Let c = s + 61\/28. Is 4 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 28 = -52*x + 57*x, 4*x + 10 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 477 - -224. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*d = 0, -5*h + 20*d + 18 = 16*d. Let g(z) = -56*z**2 - 53*z**2 + 160*z**h - 49*z**2. Let i(b) = 4*b**2. What is i(g(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**4\/12 + 8*v**3\/3 - 1347*v**2. Let i(g) = -1. What is 2*i(s) + l(s)?\nAnswer: 2*s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30346465 and 710?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11430342 (base 5) in base 8?\nAnswer: -323276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by -23\nAnswer: 131\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52888, -105770, -158662, -211564, -264476, -317398?\n\"Answer: -5*c**2 - 52867*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-37*609\/(-777))\/(((-2)\/(-1))\/(-2))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 65*i**2 - 184*i + 125. What is b(-62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1568200*w**3 - 2380314?\nAnswer: -4704600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3900, 8472, 13044, 17616, 22188, 26760?\n\"Answer: 4572*l - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657361, 1314721, 1972081, 2629441?\nAnswer: 3286801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 7. Let s be d(3). What is the tens digit of (s - -27)*5 + -12 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103111 is divided by 3112.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*a + 31 = 0, 4*a = -5*o + 2*a + 7. Let g be -3*(-1 - (-3 + o)). Solve -g*m - 3*f - 15 = 2*m, f + 5 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(21\/4)\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5772 times -23?\nAnswer: 132756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1275 * 24596.\nAnswer: 31359900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/3 + 916*h**4\/3 + 2836*h**3 - 55540*h**2\/3 - 76528*h\/3 + 40880 = 0. Calculate h.\nAnswer: -219, -14, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l + 6*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -2\/105*u**7 - 1\/24*u**4 + 0*u**6 + 0 + 0*u**3 + 3*u**2 + 0*u**5 + 0*u. What is the second derivative of g(v) wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004155 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25.6 times -0.17\nAnswer: -4.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d + 3. Give c(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/4)\/((-4)\/256).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 11:36 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v - 30. Let m be z(7). Suppose -24 + m = 8*q. Solve -j + 5*y + 21 = 0, -5*j - y + 2*y = -q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -35?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(1911\/175) + -1 and -22\/135.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -44. Let x(a) = 29*a**2 - 12. Let u(v) = -29*v**2 + 12. Let f(c) = h*x(c) - 2*u(c). Find the first derivative of f(k) wrt k.\nAnswer: -58*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -483 (base 9) to base 10.\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2)\/(-1*3). Suppose k*d - d = -18. Suppose r = 3*r - d. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 27*a + 14*a**3 - 2*a**3 - 21*a.\nAnswer: 12*a**3 + 6*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652745440.\nAnswer: 2, 5, 4079659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5 - 7 + a + 3. Let r(c) = -16. Let x(p) = -p + 11. Let y(n) = 5*r(n) + 7*x(n). Calculate 4*d(g) + y(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39*3\/(-9)*-2. Suppose 4 = -5*m - g. Let w(k) = k**3 + 8*k**2 + 8*k - 4. Is 10 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 390*s**2 - 485*s - 1115. Let d(p) = -43*p**2 + 54*p + 124. Let w(k) = 35*d(k) + 4*r(k). Find y, given that w(y) = 0.\nAnswer: -12\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 85?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Suppose 3*n + 2*i + 2*i = 6, 2*n + 5*i + 3 = 0. Find the third derivative of k**n + 0*k**y - k**2 + 2*k**2 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58.5 - 78. What is n rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(-1526)\/28*(-20)\/(-220)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 218592702 and 655778106.\nAnswer: 655778106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -380 + 407. Solve z + 8*z = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/(u\/(u**0\/u)))))**(-1\/15)\/(u**10*u*u\/u**(-2\/3)))**(3\/10) assuming u is positive.\nAnswer: u**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2*(-2)\/4. Sort 7, -1, a in descending order.\nAnswer: 7, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 13. Let j be a(-13). Suppose 4*u + 44 = 2*g - 10, -5*g + 5*u + 115 = j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 349390*i\/13 - 349416.\nAnswer: 2*(i - 13)*(i + 174708)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - 0. Let i be (f\/(-18))\/(4\/6). Which is the closest to 1\/4? (a) -1\/3 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from {u: 4, b: 3, x: 2, s: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 3*f - 4*f)*(f + 6*f - 4*f) + 5*f + 0*f**2 - 3*f - f**2 + 0*f**2 + 4*f**2 - 5*f**2.\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5433100 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7516.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2327 + 1192 - 7*a + 1196. Is 17 a factor of b(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-20 - (12 + -16))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + ((0 + sqrt(325))*6 - sqrt(325)))*-5)**2.\nAnswer: 292500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n = 87*n - 93 - 72 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(432) - (5 + sqrt(3) + (3*sqrt(3))**2*1).\nAnswer: -32 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353909161 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - (1 + 8) - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 15. Let a(h) = h + 7. Let g(o) = 14*a(o) - 6*y(o). What is the lowest common multiple of 48 and g(11)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13168.84l to millilitres.\nAnswer: 13168840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**3 + a + 1. Let u be h(-1). Let f be (u\/(-63))\/((-1)\/(-15)). Suppose 2*z + 4*v - 146 = 0, 4*z - f*v = 3*z + 80. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226805 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 131 = 4*w + 5*u, -4*w - 3*u + 170 = 0. Let h(k) = 25*k + 493. Let b be h(-18). Is w >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 588\/5 + 3\/5*m**2 - 84\/5*m.\nAnswer: 3*(m - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.34 + 4.66. Which is the smallest value? (a) 2 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/4)\/o*o**(-2\/19))\/(o*o*o**10*o**(13\/4)) assuming o is positive.\nAnswer: o**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 2.7. Let t be -2 + (90\/21 - 2). Let n = -0.1 - -0.1. What is the closest to n in t, r, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c**2 - 3*c**3 - 9*c**2 - 2*c)*(-1190*c + 635*c + 717*c) to z + g*c**3 + h*c**4 + m*c + o*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-1\/6)*b))*b**9)**(-7)\/((b**0*b*b**(-3\/8)\/b)\/(b**4\/(b**(-2\/3)\/b))) assuming b is positive.\nAnswer: b**(-1507\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8) + (-5)\/20. Suppose -q*i + 3 = 7. What is the closest to -0.1 in i, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = 4*a, 2*p = -2*a - 0 - 8. Let t = p + 10. Suppose t*r + 0*j = 5*j + 31, -2*j = 10. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 342, 692, 1042, 1392, 1742?\n\"Answer: 350*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 27.8. What is the second biggest value in 2, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-144))\/(1870\/544)*3\/(-2).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:02 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2357 - 0.0357. Let l = 0.9 - 0.6. Which is the nearest to d? (a) l (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.274? (a) -1\/5 (b) 3 (c) -0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-7 + -14 + 7). Let c(l) = l**2 - 5*l + 4. Let s be c(3). Let x be w*s*8\/(-10) - 3. Calculate the greatest common divisor of x and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -42481.\nAnswer: -3\/42481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -4 - 3\/(-6)*4. Put -5, d, -3 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2650802 rounded to three dps?\nAnswer: 8.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -3*k**8\/2240 - k**7\/315 + k**4\/4 - k**2. Let p(x) be the second derivative of g(x). Find the third derivative of p(f) wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6113 + 2*n**2 - 12241 + 6128.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*k + 179948 - 170073 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1691\/6 equal to -689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279019.8995 + 114.\nAnswer: -278905.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -91.2046 and 4.\nAnswer: -87.2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 - 1 = 0. Let m(i) be the second derivative of i**5\/20 - 5*i**4\/12 + i**3\/2 + 5*i**2\/2 - 3*i. Let u be m(4). Solve -u - q = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 31*x**2)*((3 + 0 - 1)*(-4 + 4 - 3*x) + 3*x + 6*x - 4*x).\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - (-35)\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or 5?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -9.\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, 70, 3.\nAnswer: 3, 4, 35, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 9. Let m be g(5). Suppose 0*h = -m*h - 20. Let t(q) = -q**3 - 4*q**2 + 4*q - 5. Determine t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(1152) + sqrt(1152)*2 + sqrt(1152)))**2.\nAnswer: 1\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2193\/5 - 438. Let z be 213164\/630 + 2\/10. Let m = 339 - z. Put k, m, -2 in decreasing order.\nAnswer: k, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 41 - 27)*(8*q + 29*q + 57*q).\nAnswer: -1880*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-9)\/3 + 2). Let c be -2*(o - -1)\/3. Let q = 0 - c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97478023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*m - 0*x - x, 0 = 1375517*m - 1375515*m + 5*x - 38 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/(-14) + (-2)\/7. Let l(n) = -2*n - 11. Let f be l(x). Suppose 0 = -f*c - 114 + 529. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37710 + 37710 + 2237*l to w + r*l and give r.\nAnswer: 2237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 3:31 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 22. Let l(q) = -12*q**2 - q. Give d(l(s)).\nAnswer: -24*s**2 - 2*s + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 647, 1296, 1945, 2594, 3243?\n\"Answer: 649*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1562)\/(-8591))\/(33\/6 - 5)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m + 377. Give j(52).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212000121 - 12?\nAnswer: -212000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 16*r**2 + r + 6*r**2 - 4*r**2.\nAnswer: 14*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 3. Let m be g(-7). Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence meh when three letters picked without replacement from hmmespmemeemmspe?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*z + 27186 = 531*z + 283*z for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3863 + -27925. Let n = h + 33915. Let r = n - 753. Round r to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*k - 3*h = 162*k - 15, -5*k - 2*h + 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.175951495 + -26.176. Round o to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210 + -419\/2. Let z(n) be the first derivative of -1\/3*n**3 - 2 + 5*n - c*n**2. What is z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91237?\nAnswer: 91237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 12, -7570?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - w = 3*w + 216, -4*o + 4*w = 384. List the prime factors of (50\/o)\/((-1)\/852).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 26. Let f be y(-3). Suppose 23 - 1 = 5*r - n, 0 = -n - f. What is the third smallest value in -0.2, r, -1\/31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31723.38t to micrograms.\nAnswer: 31723380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/11340 + l**6\/1620 - 7*l**4\/12 + 15*l**2. Let r(k) be the second derivative of i(k). Suppose r(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7802157+-5\nAnswer: 7802152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 304.559 and 0.1.\nAnswer: 30.4559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6.8. Let s = r + -0.4. What is the smallest value in s, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*i - 11 - 11 - 4 + 26.\nAnswer: 197*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0356 - 0.0356. Which is the nearest to 1? (a) -5 (b) j (c) -2\/3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/(-20) + 4)*(-3)\/7?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007379513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*y + 1 = 3*y, 2*b - 2*y - 2 = 0. Let j be (13 - -1)*2 - -1. Factor 2*w**2 - b*w**2 + 31*w - j*w.\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 38*l**3 - 41*l**2 - 14*l + 52. What are the prime factors of r(9)?\nAnswer: 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.1, -40, -406, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30308392 and 12840.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182163 and 326565?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1610468 and -18.\nAnswer: 1610450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81788988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:38 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*a + 98*a**2 + 55*a + 33*a + 40*a.\nAnswer: 98*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63899.35 millennia in decades?\nAnswer: 6389935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z - 12. Let v be n(-9). Let s = 9 + v. Let i(d) = d**2 + d - 1. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -s - 4, s = -3*n - 4. Let v(g) = -4*g + 6 + 3*g**s - 4 - 3 + 0*g**2. Determine v(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*g + 44. Suppose -5*h = g*y - 35, 4*y + y = 4*h + 17. Solve -3*k - y = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261+923\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 57 = r. Let u(n) = -7 - 7*n - 4*n + 2*n + 8. Let p be u(-1). Solve 0 = w - 4*s + p, -3*s + r = 2*w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -j + 4*o + 10, -4*j - 3*o + 18 = 0. Suppose -11*u + 25806 = j*u. What are the prime factors of u?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3609 + 3642 - ((3 - (1 - (4 + -3))) + 9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006739897 to six decimal places.\nAnswer: 0.000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -36. Let u = h + 12. Solve u = -v - 3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316 and 4998.\nAnswer: 789684","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*(h**(1\/4)*h)\/h*h*h)*h**(-1)*((h*h**0)\/h*h)\/(h**3\/h))**(2\/69))**20 assuming h is positive.\nAnswer: h**(-70\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 14. Suppose -3*a - 4 = -52. Let n be a\/3*(-15)\/(-10). Let k be o(n). What is the highest common factor of 5 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9)*(3\/12)\/((-32)\/1728)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5385587 - 0.24847708.\nAnswer: -5385587.24847708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:55 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5524.836 or -0.2?\nAnswer: -5524.836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-2))\/r*r)\/r*r**(-1\/4))**(-17))**(2\/29) assuming r is positive.\nAnswer: r**(-119\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 + 19. Let o = m + 22. What are the prime factors of o?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001950918 rounded to five decimal places?\nAnswer: -0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**3\/6 - 17*w**2\/2 - 3*w. Let v be t(0). Let f be (1 - 2)\/(v\/2). What is the third smallest value in f, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 2*u**2 + 2*u. Let a be v(1). Find the first derivative of 8 - 8*d**a - 14*d**3 + 14*d**3 wrt d.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7769308446 rounded to 4 decimal places?\nAnswer: -0.7769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11026 + 11025. Suppose -8 = 2*f - 2*q + 3*q, 4*f = 3*q + 4. What is the nearest to o in 1, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34\/3 + 11. Let t = -121\/3 - -41. What is the third biggest value in -2\/11, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 19\/140 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2 - -3) + 2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 11*h + 12978. Suppose -7*g + 1120 = -h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llljjjj. Give prob of picking 2 l and 1 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1037 and 6416939?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 2*w - 12. Let h be n(-5). Let x be (h - 4)*-1 + 1. Solve 0 = -x*i + i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006938473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 - -92. Let b = t - -61. Which is greater: -2\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 18. Let i be u(-9). Suppose s = -3*k - 17, 54 = -2*s - 2*k - i*k. Let h = s - -34. Solve r - h*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2) - (1 + sqrt(8)) - (sqrt(36)\/sqrt(6))\/sqrt(3))*1)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 = -5*s - 9, 5*s = -2*z - 19. Sort z, 1, -3, -1 in decreasing order.\nAnswer: z, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/(-98)*(4 - 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/8 - 21*w\/4 + 135\/8 = 0. Calculate w.\nAnswer: -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 19*d - 14. Calculate the least common multiple of 31 + (1 - (-2 - -4)) and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i**2 + 5*i + 4*i - 13 - 9*i + 0*i to y + o*i + m*i**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 37. Determine i(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 2825. Let t(m) = 9*m + 5659. Calculate -5*t(d) - 11*w(d).\nAnswer: -d + 2780","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.25 + -1.15. Let r = z - -24.41. Let g = r + -0.01. What is the nearest to -0.1 in 2\/13, g, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047874 rounded to seven dps?\nAnswer: -0.0000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -3, 10, 27, 48, 73, 102?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**7\/840 + v**5\/120 - v**4\/12 - v**2. Let x(b) be the second derivative of f(b). Differentiate x(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.045 or 6603\/5?\nAnswer: 6603\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-10)\/(50\/15) - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255910*z**4 + 152*z**2 - 670*z wrt z?\nAnswer: 6141840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrphkkgr. What is prob of picking 1 g, 2 h, and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7138519 - -9344320824\/1309. Let x = -2\/187 + q. Let i = -5201\/2 - -2600. Sort 2\/13, x, i.\nAnswer: i, x, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/14 and 87\/214.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -88379 at least as big as -618648\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 505 = -7*g. Suppose -3*f + 669 = 3*t, 2*f - g - 324 = 5*t. What is the greatest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4336*p - 289*p**2 - 4336*p + 15*p**2 to the form g + z*p + j*p**2 and give j.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301 - 281*i - 297 + 1197 - 301 - 297.\nAnswer: -281*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8084630 is divided by 351504?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/11 and (4\/462)\/((-54)\/(-36) + (-3365)\/2190)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/m**(-4\/3))\/m))\/(m\/(m*m**(-3))*m))**16 assuming m is positive.\nAnswer: m**(-256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -42*x**3 + 427519*x**2\/3 + 426765*x - 3396 = 0.\nAnswer: -3, 1\/126, 3396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let t = 48 - 26. Let p(u) = 3*u**2 + 5*u - 3. Calculate the remainder when p(4) is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-24)\/45)\/((-10)\/(-25)). Solve -3*s = -3 - 6, x*p - 9 = -3*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911578.5nm to micrometers.\nAnswer: 911.5785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 26*u - 27*u = -159, 4*i + 645 = -5*u. Suppose 0 = -f + 3*p - 7*p + 17, -f = -2*p + 13. Sort f, i, 3.\nAnswer: i, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18044\/3*b**2 - 5766 - 11656*b - 376\/3*b**3 - 2\/3*b**4 = 0. What is b?\nAnswer: -93, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 2. Let o be v(2). Let i = -4 - -15. Let d(x) = 5 + 2*x - 12 + i. Determine d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:40 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 25926 = 110094. Suppose -7*w = -f - 90841. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-10 - -6 - (-2 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-12))\/3*(-2)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/5 + 346*s**2 + 8688*s\/5 + 2088 = 0. Calculate s.\nAnswer: -3, -2, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 20*o + 3. Let n be z(-20). Let r be 362\/5 - 6\/15. Suppose 15 = -n*p + r. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15761166 to the nearest integer?\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -1221010?\nAnswer: -1221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525867, -525830, -525805, -525798, -525815, -525862, -525945?\nAnswer: -526070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {d: 1, j: 3, e: 3, a: 2, f: 3, m: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4774080 and 70720?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from {i: 5, v: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u - 2*f, -5*u + 5*f - 2 + 37 = 0. Let l(v) = 303*v**3 - 3*v**2 - v + 8. Is l(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -7*p**8\/2880 + p**7\/360 - p**6\/720 - 13*p**5\/12 + 2*p**2 + 38. Let y(t) be the third derivative of j(t). Factor y(i).\nAnswer: -(7*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g - 6*g**2 - 8*g)*(2 - 2 - 3*g) + (3*g + 2*g - 4*g)*(3*g**2 + 0*g + 0*g) to v + f*g + x*g**2 + k*g**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/3 and -32\/207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 14, v: 4}. What is prob of picking 4 v?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8831 - -8827.9. What is the biggest value in b, 3, -36, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2861 + -17315\/6. Calculate the common denominator of o and 55\/1701.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 5*q, -2*q - 278 = -3*x. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 552228, 4417766, 14909950, 35342106, 69027560, 119279638, 189411666, 282736970?\n\"Answer: 552221*g**3 - 3*g**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000859096 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 + 95. Does 24 divide ((-8)\/10)\/(g\/3450)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (-5 - -2) + (16 - (-18 + 13)) + -19.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 1371 - 190 = -155 - 1376 for m.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u - 3*m, -m - m = 4. Calculate the remainder when 13 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 880 + -880.4. Let f = 0.26 - 3.26. Let q be (1\/3)\/(1\/3). What is the smallest value in f, h, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918897067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 21 + (2 + -14 + 4 - (38 + -45))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67835\/3 or -22611?\nAnswer: -22611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 28\/2 + 2 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -7*k + 680. Let q = k + -50. Calculate the greatest common divisor of q and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 196.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -3*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(539) + sqrt(539) + 1*sqrt(539) + 0 + sqrt(539) + 3)**2 + (sqrt(539) + sqrt(539) + 5 + -2 + sqrt(539))**2 + -5 + 4 + -2.\nAnswer: 462*sqrt(11) + 13517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14200987 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0 (b) -115 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90 and 2837.173.\nAnswer: -255345.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -0.3, 3\/4, -0.2, 4\/3 in ascending order.\nAnswer: -0.3, -0.2, 3\/4, 6\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.302 + -3.02195. Let l = 13.72 + -14. Let j = x + l. Round j to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 1.1 (b) -1.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((-60)\/(-27) - 4). Let k = -13\/110 + 3\/10. Sort 3, 14, k, c in descending order.\nAnswer: 14, 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36125 and 11000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502440 divided by 41870.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*j - 14. Suppose 0*w = -5*w + j. Let k be -1 + w + 6\/(-5). Sort k, 2\/23, 0.3 in descending order.\nAnswer: 0.3, 2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 75*n**2 - 7*n**4 - 65*n**2 + 126*n**2 as w*n**3 + r*n + f*n**2 + u + q*n**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 7*v**3 - 37*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2. Let m = 8 + -6. Suppose 0 = -2*y - 2*u + 12, -y + 2*u - 2 = 2*y. Let w(l) = m*l**2 - 2*l**2 - l**y. Calculate w(z(a)).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 49*i**2 - 85 - 45*i**2 - 47 - 91.\nAnswer: -94*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18252700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (343*o**2 + 11*o - 311*o**2 - 7*o)*(-o + 4*o - o)*(0*o**2 + 4*o**2 - o**2).\nAnswer: 192*o**5 + 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxtxrxxrrtttrrtrxx. What is prob of sequence xr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 103395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4963 or 16222?\nAnswer: -4963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79588294763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 - 17 = 0. Suppose 5*z - p = 14. Suppose 2*i + z*s - 86 = 0, -4*s = 2 + 10. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t - 1\/30*t**5 - 4*t**3 + 0 + 72*t**2 - 2\/3*t**4. Find b such that f(b) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(0*m - 2*m + m) - 2*m - 1 + 1 + (5 + 1 - 2)*(0 + 2*m + 0 + (3*m - 5*m + 3*m)*(2 - 1 + 1)) - 2*m + 0*m - 3*m in the form s + i*m and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - 2. Let t(v) = -3*v**2 - 15*v + 71. Let z be t(-8). Let m be z + 16\/(-24) + 4\/6. Which is the closest to m? (a) -5 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 10) in base 12?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + 1)\/((-2)\/(-44212)). Round a to the nearest one thousand.\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*x = 51386, 15*x - 16*x + 77100 = 3*i. Suppose 0 = -15*c + i - 1114. What are the prime factors of c?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76489.892 rounded to the nearest ten?\nAnswer: -76490","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 87487643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = -q. Let g = q + -4. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwbnrrvrrbibivnrb. What is prob of picking 1 r, 1 w, 1 i, and 1 n?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let n(t) = 6*t - 1. Calculate the remainder when n(1) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 43645*t - 43646*t - 30, -f + 4*t - 13 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33312 * 7.55.\nAnswer: -251505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - (-2 + 3) - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 14052304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 858 - 855. Solve -10 = -b*a - 3*k + 5, 3*a + 5 = 2*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -63, -113, -175, -249?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/4 + 2927907*j**2\/2 + 714388080672*j + 1428770305536 = 0. What is j?\nAnswer: -975968, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60838 - 3?\nAnswer: 60835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + (-7 - -1) + 2199. Let k = h - 1346. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -4. Let w(v) = a*v**2 - 3 - 1 + 4. Let z(u) = 2*u**2. Give z(w(g)).\nAnswer: 98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 15 = 0. Suppose 5*m + 90 = -4*d, m + 76 = -4*d + u*m. Let h = d + 29. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.086, 2.4, -11, 0 in decreasing order.\nAnswer: 2.4, 0.086, 0, -0.03, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-468))\/(1\/(8\/(-6))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 36) + -249 + 268\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3059074 - -3059087.000018. Let s = 20 + -7. Let m = r - s. What is m rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2 + 214*r - 196. What is n(23)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 198.\nAnswer: 574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -202?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 12, 0, 5 in decreasing order.\nAnswer: 12, 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/150 + (-688)\/(-5). Suppose -c + 5*a = 4 - 15, -c - 3 = 2*a. Let y = c + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/16)\/(3\/(-16)*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 - 18)*(-d - d - 6*d)*(4 + 1 - 3).\nAnswer: 480*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9456 = 229*f + 1899. Let v(r) be the second derivative of 13\/2*r**2 + 0 - f*r + 19\/3*r**3. Differentiate v(z) with respect to z.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -316, -676, -1050, -1438, -1840?\n\"Answer: -7*a**2 - 339*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqnrrgnqgq. Give prob of sequence rgnq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52001*t**5 + 4*t**4 - 4248*t + 70?\nAnswer: 1040020*t**3 + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9321 is divided by 160?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 960 = 1336. Calculate the greatest common divisor of d and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75509850, -151019700, -226529550, -302039400, -377549250?\nAnswer: -453059100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-6)\/12)\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(5 + sqrt(720) + (sqrt(720) + 0)*-2) + 2)**2*2.\nAnswer: -4224*sqrt(5) + 24011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2 + (-60)\/((-2)\/(-18)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x)\/(x\/(x*x**(-1\/6)))*(((x\/(x\/x**(2\/7)))\/x)\/x)**(-12\/11))**50 assuming x is positive.\nAnswer: x**(-142025\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*a = 2*k + 123*a + 184, -514 = 5*k + a. Let n be ((-4)\/6)\/(1\/(-156)). Let s = k + n. Solve s*g + 2*b = -4, 2*g + 14 = -0*g + 3*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 14*s + 115, 0 = -7245*s + 7243*s + 4*o - 28 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -685*t**2. Let l(x) = 5*x**2. What is n(l(b))?\nAnswer: -17125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*h + 150, 2*h + 49 = 2*v + 5. Calculate the remainder when 47 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**2 + 1 + 0 + 1.\nAnswer: 20*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 3*l + 3*l)*(-41 - 133 - 56 + (0 + 0 - 2)*(-21 + 22 + 6) + 4 - 4 + 2).\nAnswer: -242*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -47794376.\nAnswer: -1\/47794376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.27798 millilitres in litres?\nAnswer: 0.08227798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73718, -146376, -217988, -288560, -358098, -426608?\nAnswer: -494096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 1071474?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36142 - 2168627\/60. What is the common denominator of 4\/10*280\/(-256) and s?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435077 is divided by 365?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 3*w + 1. Let a be z(4). Suppose -a*s = 11 + 39. What is the units digit of (1 + 3 + s)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(4212) + -3 + sqrt(4212))*4 - sqrt(4212) - (sqrt(4212) + 0 + sqrt(4212) + -1 + sqrt(4212) + sqrt(4212) - sqrt(4212)))**2.\nAnswer: -7920*sqrt(13) + 337565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - i + 15 = -3*v, 4*v = -i - 15. Let n(o) = 7*o**2 - 4*o + 6. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081\/56 < -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 3*m**2 + 7*m**2 - 7*m**2.\nAnswer: 5*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-5)\/2) + -2. Let y be (-6 + 2)*1\/l. Suppose s - y = 2. Solve -3*p = s*w, 3*w = -p + 4*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjajjjddjjjjjjddjdj. What is prob of sequence ddja?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3\/13 - 542*m**2\/13 + 8036*m\/13 - 1666 = 0.\nAnswer: 7\/2, 13, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3559182, -3559212, -3559244, -3559278?\n\"Answer: -i**2 - 27*i - 3559154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 26*d - 65 = 0. Calculate the highest common divisor of d and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b**2 - b + 7. Let y be q(-3). Solve -6*k = -y*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11653 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*a - 26, 1707*t = 1709*t + 3*a - 46. Let h(l) = 26*l - 377. Give h(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o + 4. Let f be j(-3). Let h = 8 - f. Suppose 2*g - 3*g - 5*n + 33 = 0, 2*g + 4*n = 72. Calculate the remainder when g is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7ebf (base 16) to base 9\nAnswer: 48452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 96 - 5*t - 9*t + 96.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25450655 (base 7) to base 13\nAnswer: -630881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 105, 103, 101?\n\"Answer: -2*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -93, -258, -513, -870, -1341, -1938, -2673?\n\"Answer: -2*h**3 - 27*h**2 + 8*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:47 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 + 14 = 0. Let t(m) = g + 7*m**2 + 2 + 3*m - 6. What is the tens digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l = 98*l - 46*l. Let p(q) be the first derivative of -1 + 13\/2*q**4 + l*q + q**2 + 24\/5*q**5 + 4\/3*q**6 + 4*q**3. Find r such that p(r) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 2*x - 148 = 9*q, q + x = 38. Suppose -5*t + 2*t = s - q, -3*s + t + 58 = 0. Suppose 19*w = s*w - 460. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37072 divided by 5296\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1 - 1) + 3. Let l be 510\/(-1260) + (-6)\/14. Which is the third smallest value? (a) d (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 0.2. Let d = -506 + 604. Let n = 95 - d. Which is the nearest to n? (a) 0 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uyufyyuzpdfu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s**2 - 2*s)*(-18 + 3*s + 18).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 0, m = 6*m - 3*g - 19. Solve 2*p = m*q + 2*q - 10, 3*q = -2*p + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h, 0 = w + 2*h + h - 7. Let y be (w\/(-72))\/(1\/8). Let t = -4 - -3.9. Which is the nearest to t? (a) -0.5 (b) y (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 2, k: 1, r: 1}. What is prob of sequence ks?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**6\/10 - 25*s**5\/3 + 28*s**4\/3 - 25*s**3\/2 + 2*s + 22. Let k(n) be the second derivative of r(n). Factor k(v).\nAnswer: -4*(v + 28)*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (36\/20)\/3*(8 + -18). Solve 0 = t*i - 72 + 94 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:25 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.4 + -48. What is the closest to -0.2 in 1, -0.04, g?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3552 in 0.4, -0.092, 13?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1428, 43, 356 in descending order.\nAnswer: 356, 43, -1428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/219350 and 21\/56710?\nAnswer: 11625550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 4*d - 2*d)*(-57 - 93 - 54).\nAnswer: -204*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.81 + -125.19. Let w = 29231.19 - 29365. Let s = w - c. Round s to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67826 or 2.8?\nAnswer: -67826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191683359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (-2791760)\/(-16)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 44. Suppose -4*s = a - 296. Let u(x) = x**3 - 5*x**2 - 10*x - 6. What is the smallest common multiple of u(7) and s?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 22*h + 9*h - h**2 - 5 + 8*h + 4*h. Give l(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, 2, 5, -5 in increasing order.\nAnswer: -28, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from ppooxbbpblxxxxo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/2*(-16)\/(1104\/23)*12\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/30 - 22*d**2. Let f(c) = c**2. What is f(n(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121403 is divided by 186.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18447 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w + 113. Let v be m(13). Solve 4*x - 5 = -v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1107266 + 896719 = 3*r, 0 = -5*z - r - 3340005. Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -72 = -m*v + z, 0*z - 3*z + 64 = 5*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 15*l**2 - 10*l - 21. Let t be y(-8). Is t bigger than -64\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 491, 985, 1507, 2057, 2635?\n\"Answer: 14*s**2 + 452*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c - 104, q - 96 = -c - 121 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-220)\/((-4)\/(-8)*-1). Let u = -436 + r. Solve 0 - 49\/2*j**3 + 2*j - j**2 + 49\/4*j**u = 0 for j.\nAnswer: -2\/7, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 1, p: 7}. Give prob of sequence gpg.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9114040547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 32*z**2 - 227*z - 37. Calculate d(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:15 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 3*y - 6. Let o be r(-4). Suppose -9*b + o = -7*b. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*-1102065\nAnswer: 39674340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:56 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409606 - 189966. Is w\/120 - 4\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i*s**3*x**2 + 2*i*s**3 + 3*i*s**2*x**2 - i - 7*s**3*x - 3*s*x wrt x?\nAnswer: -24*i*s**3 + 6*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 7 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6, -28, 36 in decreasing order.\nAnswer: 36, 5, 4, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1356 by 339.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**3\/45 - p**2\/15 - 4*p - 422. Suppose x(w) = 0. Calculate w.\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2956, -8, 1 in decreasing order.\nAnswer: 1, -4, -8, -2956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 471835377 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*k + 13, -1798*b + 1805*b - 13 = -2*k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 12. Let a = 2.6 - 2.7. Let q be -1 - (-2)\/(-16)*-5. What is the biggest value in h, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*n**2 - 113*n**2 + 4 + 0*n**3 - 2*n**3 to l*n + t*n**3 + o + p*n**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0399125 to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 37563 (c) -37 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r*u**5 - 4550816*r*u**3 + 4973*r - 6*u**2 - 10*u wrt u.\nAnswer: -60*r*u**2 - 27304896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 14 = -4*h. Let v(m) = 16*m - 14. Let o(d) = -3*d + 3. Let u(g) = h*o(g) - 3*v(g). Let f(l) = -3*l**2. Calculate f(u(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let j be o(-2). Let f(x) = -3*x + x + x**2 - 1 + x. Let v(t) be the first derivative of -t**3\/3 - t**2\/2 - t - 3. Give j*v(y) - f(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -2. Let s = -44.7 - -45. What is the biggest value in 5, s, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3036*d**3 - 16*d + 16*d + 51600*d**2 - 51600*d**2.\nAnswer: 3036*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 309990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.756 * -0.29\nAnswer: -0.21924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-7) + 2)\/(28\/(-98)). Suppose -i*h - 1010 = -1025. Let n(j) = -8*j**3 + 5*j. Let x(z) = -z**3 + z. Calculate h*x(o) - n(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 9746020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1993263\/472 - -4223. What is the common denominator of a and -33\/28?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400221 (base 5) to base 8\nAnswer: -30421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4141360?\nAnswer: 2, 5, 51767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 448 = -i. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0498 - 0.5498. Which is the second biggest value? (a) 2 (b) 2\/5 (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/(68\/552))\/((-2)\/8). Let v be 4\/(-14) + 5\/((-105)\/z). Suppose -5*o - v = -6*o. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(5) - sqrt(80)) - (sqrt(5) + (0 + sqrt(500))**2)) + -4 + (4*sqrt(640))\/(sqrt(48)\/(sqrt(18)\/sqrt(3))).\nAnswer: -499 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:50 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 84. Let x(a) = -201*a**3 - 2*a - 1. What is the units digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44826\/11, -3, 2, 0.6, 4 in increasing order.\nAnswer: -3, 0.6, 2, 4, 44826\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-10))\/8)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1262, 3321, 5810, 8729, 12078?\n\"Answer: 215*w**2 + 1414*w - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31825194589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 11*d**5\/60 - d**4\/12 + 2*d**3\/3 - d**2 - 127. Let s(v) = 23*v**2 - 5*v + 9. Determine 5*i(w) - 2*s(w).\nAnswer: 9*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1214 + 1209. Let v = -11.009 - -0.009. Which is the third biggest value? (a) v (b) s (c) -2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 times -3.5?\nAnswer: 1578.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2065 - 2065.5. Put -251, -0.2, 5, 1, s in decreasing order.\nAnswer: 5, 1, -0.2, s, -251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5307.68 - 3274171.49.\nAnswer: -3268863.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - a1351?\nAnswer: -a1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 122?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -4) + 8 + (9 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81211 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 243 - 117. Suppose -r + 6 - 1 = 0. Suppose v - 31 = r*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.14389 years to millennia.\nAnswer: 0.04514389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -5*b. Suppose 5 = q + 1. Suppose q*c - c = 15. What is the least common multiple of b and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33 - 31)\/(((-9)\/(-405))\/((-141)\/(-18))). Solve -12*z = 621 - k for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177.75 - 3.25. Let s = y - -178. Let q be 6*(-2 + (-56)\/(-27)). Which is the third smallest value? (a) 5 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r - 4. Let j(o) = 6*o**2 - o + 1. Let c(z) = 33*z**2 - 6*z + 6. Let a(v) = -c(v) + 6*j(v). Give a(p(b)).\nAnswer: 507*b**2 - 312*b + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 8*h**2 - 8*h - 4. Let d = 114 - 107. Suppose -d = 8*k - 7*k. Give t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let i = 8 - 8.6. Let k = 0.4 + i. Put k, m, -2\/13 in decreasing order.\nAnswer: -2\/13, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 22*i**2 - 22*i - 28. What is f(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(7\/(-252)). Let u(l) = 4*l**2 - 4*l + 5*l - 20 + l**3 + t. Calculate u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.41 or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -42. Let c = -9 + 11. Let k(x) = 10*x + 52. Let z be k(-5). Solve -z*d = c*d - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Let a = y + -6. Suppose u = 4*m + 4, 2*u - 5*m = -a*u + 17. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284789?\nAnswer: 37, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/30)\/((-4)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n + 444. Let q be h(21). Let s(b) be the third derivative of 0*b - 10*b**2 + 0 + 0*b**q - 5\/12*b**4. Let i(z) = -z**2. Determine s(i(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2014320 and 53782344.\nAnswer: 537823440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t - 2*i, 2*i = 4*t + t - 13. Let g(n) = 3*n**2 - 2*n + 0*n**2 - n**2 - 7*n + 7*n**3. Let m(s) = -s**3 + s. Give t*g(f) + 6*m(f).\nAnswer: f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c - 105. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 15, 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-9)\/12*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:39 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-40) - (-2)\/(-5) - -3. Suppose -2*g = 2*b - 10, 0 = -5*g - 0*g - 20. Suppose -b*m + z*m = -60. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243051 (base 6) to base 15.\nAnswer: -15281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.720888 to 1 decimal place.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2608 and 10?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(-7)*4*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157537799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) -2\/25 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 - 5*m - 10. Let i(l) = -4*l - 25. Let n(h) = -16*h - 99. Let q(f) = -9*i(f) + 2*n(f). Let p be q(-5). Give o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 64. Let y be (2*(-1)\/(-2))\/s. Let f = -5 - -3. Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435319 is divided by 1329?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from {r: 3, p: 2, v: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 36 = 5*i + 70 - 25 - 29, -4*i = -46*j - 5*i + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*z = 212, -2*z + 279 = 5*k - 3*z. Suppose -3*w - 4*d = -269, 5*d - 31 = 2*w - 218. Let t = w - k. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -84, 0.42, 0.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.375 and -2.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69230384*v**3 - 554*v**2 - 359*v - 4?\nAnswer: -415382304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8136 is divided by 4029.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 246?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15*g - 14 = 12*g, -6 = -2*g. Let a be 0*(-9)\/(-27) + 2*l. Solve 3*p + 10 = -a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15724, 31463, 47200, 62935?\nAnswer: 78668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1608 or 1591?\nAnswer: 1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12614 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 7*a - 8. Let d be q(8). Let h(m) = m**2 + 8*m + 15. Let s be h(-6). Suppose -s*j - 15 = -d*j. Put j, 1, 2 in increasing order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.1087681, -2, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 1. Let o(a) = 39 + a - 25 - 18. Give -4*f(i) + o(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*-6 - (sqrt(24)\/sqrt(128) - sqrt(3)).\nAnswer: -21*sqrt(3)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3242 and -3.04951032?\nAnswer: 2.72531032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.063, 5.1, 2\/5?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2494129*a**2 + 12317106 wrt a?\nAnswer: 4988258*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3116.2783 to zero dps.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3*u**4\/2 + u**3\/3 - u - 20. Is b(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128499105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.9 (c) 0.002 (d) 0.4 (e) -4 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3554 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165601281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24522011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsc when three letters picked without replacement from {c: 1, h: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20810514247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1))\/x)\/(x**(-8)\/x)*(x**(-5\/2))**(-7\/4))**50 assuming x is positive.\nAnswer: x**(2875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135502738?\nAnswer: 2, 19, 29881651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:12 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/((-5)\/(60\/36))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 21*l**2 + 18*l - 30. Let m be s(-20). Suppose 0 = -2*j + 13*d - m*d + 45, -75 = -4*j + 3*d. What is the lowest common multiple of j and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 1. Suppose 4 - 14 = 5*d. Let y = d - 1. Calculate the remainder when 32 is divided by g(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -287*g**3 + 7*g**2 - 90*g + 14. Is m(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - y - 3)*((-368 + 2004 - 9898)*(y - y - 2*y) - 4*y + 3*y - y).\nAnswer: -16522*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2\/9, -2, 36 in decreasing order.\nAnswer: 36, 2\/9, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*h - 10 = 0, h = -3*h + 20. Let t(j) = -3*j**2 - 11*j + 22. Let a be t(-5). Put a, d, 4 in descending order.\nAnswer: 4, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {h: 3, z: 1, f: 3, x: 3, y: 5}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 451403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 352823189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16922886 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 3*s - 2*s + (0 + 1 + 1)*(-s - s + 0*s) - 2 - 2*s + 2.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 1. Let t(w) = -2*w + 10. Let v(l) = -2. Let g(j) = -t(j) - 5*v(j). Give g(r(f)).\nAnswer: 6*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**10*c*c*c*c*c**(-6\/5)\/c)\/((((c\/c**(5\/8))\/c)\/c)\/(c\/(c*c*c**(-7\/6)*c))) assuming c is positive.\nAnswer: c**(1751\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 133216*r - 66595*r + 3 - 66607*r + r**2. Determine d(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/4)\/k*k*k**(1\/2))**(-2\/19) assuming k is positive.\nAnswer: k**(3\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11 + (2 - 10) + (-18 - 6)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3105c7 (base 13) to base 16\nAnswer: 117298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 735775207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(0 + 2 + 4)*(0*m - m - m).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 2*v**3\/3 - 33. Let g(u) = u. Suppose 1 = x - 0. Let n(y) = 5*y. Let a(h) = x*n(h) - 4*g(h). Determine i(a(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/2 + 4022*p + 72558 = 0. Calculate p.\nAnswer: -18, 8062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) + -5*sqrt(180) + sqrt(5) + -1)**2.\nAnswer: 26*sqrt(5) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -888, -1952, -3426, -5310, -7604, -10308?\nAnswer: -13422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 5*n**2 - 127*n + 71. Let m be f(-14). Solve -67 = 3*l - m for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhrhrhh. Give prob of sequence hh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*h + 3*n, 113 = 2*h + 2*h - n. What is the remainder when h is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 2*b + 8 = -23*h, 286 + 174 = -75*h + 5*b for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27016 + 135078\/5. Which is the closest to 6? (a) 125 (b) -4 (c) i (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 4*x**2 - 4*x + 5. Let a be n(-5). Let c(y) be the second derivative of -1\/6*y**3 + 0 - 2*y - 3*y**2 + 1\/12*y**4. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 734*b - 31. Let x(g) = -2202*g + 99. Let p(r) = -16*c(r) - 5*x(r). Let i(a) = a**2. Give p(i(j)).\nAnswer: -734*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 289, 55 in descending order.\nAnswer: 289, 55, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*f = 86, 4*c - 172 = -2*f - f. Let o = -43 + c. Suppose 10 + o = -2*a. Sort a, 4, 2 in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let x(q) = q**3 - 2*q + 2. Let p(d) be the second derivative of 1\/20*d**5 + 0*d**4 - 1\/6*d**3 + 0 - 2*d + 1\/2*d**2. What is a*p(i) - x(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, l: 1, a: 1, j: 1}. Give prob of picking 1 j and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182807892 a multiple of 4804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 + 442\/5. Determine y, given that l*y**2 + 0 + 0*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 c when four letters picked without replacement from {t: 8, x: 1, c: 10}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/63 (b) 1863 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 11*p + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (23 - (-9 + (-7 - -22))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18865, -37738, -56609, -75478?\n\"Answer: l**2 - 18876*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*f + q, -4*f + 9 = -40*q + 105 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 33114*d**2 - 111*d. Let h(g) = 26*g**2. Determine v(h(p)).\nAnswer: 22385064*p**4 - 2886*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/36 + 4\/9. Let l be 0\/(-2*3\/(-6)). Let s = 21.2 + -20.6. What is the nearest to l in 0.4, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 173. Calculate the remainder when 318 is divided by k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 6. Let z(u) = 6*u - 17. Let l(p) = -17*x(p) + 6*z(p). Suppose 8*j = 12*j + 20. Calculate l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/81 and (12\/54)\/((-2)\/71).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 362\/9*s - 1\/9*s**2 - 32761\/9 = 0?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6, c + 4*j - 1632 = 7. Let q = -6547\/4 + c. What is the biggest value in -1, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4268 and 9603.\nAnswer: 38412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/60 - b**4\/3 + 4*b**3\/3 - 3*b**2. Determine i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 3\/(-2 - -5). Let g(h) = -h**3 + 12*h**2 + 13*h + 3. Let r be 72\/(-48)*26\/(-3). Let b be g(r). Solve 2 = b*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 - (2 - 7). Let i(c) = c**2 - 2*c - 3. Let l(y) = 3*y**2 - 5*y - 7. Give n*i(t) - 3*l(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -184, -698, -1736, -3472?\n\"Answer: -29*z**3 - z**2 + 42*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.01, 6\/11, -24?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 256, 372, 488?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31071201 (base 8) in base 14?\nAnswer: c35041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnbx when four letters picked without replacement from gxgnbpnbpnggnxgpg.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -0*w + 3*w + 48, -23*o - 48 = -21*o + 5*w for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 259 and 265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 146972779 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(6)*4)*6)\/(sqrt(18)\/(sqrt(14)\/(sqrt(7) - sqrt(7)*-3))).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.269221659 rounded to five decimal places?\nAnswer: -0.26922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15361.\nAnswer: 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 507 - -6. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 512, 1019, 1526, 2033, 2540?\n\"Answer: 507*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165253\/63 + -2623. What is the common denominator of d and 50\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173080571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 47. Calculate the greatest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65772 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: Add 19283344 and -0.024.\nAnswer: 19283343.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2354.1 + -2475. Let s = b + 119.861. Let p = s - -0.039. What is the closest to 3 in 3, p, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 13*b - 17*b. Let d(j) = -2*j - 4. Let u(a) = a. Calculate b*u(r) + d(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112577 is divided by 989?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 29069571?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 + 68092*d**2\/9 + 136292*d + 613476.\nAnswer: -4*(d - 17041)*(d + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 1, q: 3, s: 7, k: 7, f: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 0, -7*x + 93 = -6*x + 3*q. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2 - -3) + 5 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 19*x + 13. What is the tens digit of q(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17600*y**2 - 4*y - 17615*y**2 + 4*y. Let l(b) = -b + 209. Determine l(w(g)).\nAnswer: 15*g**2 + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123479 is divided by 49680.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7035112 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -32 + (43 - 46) + -1 + 7 + -4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - ((-354)\/(-100) - (-22 + 23)) and 139\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -262\nAnswer: 8\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.18255 and -3.\nAnswer: -36.54765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87763?\nAnswer: 13, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -462 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.18578, 2\/9 in decreasing order.\nAnswer: 17, 2\/9, -0.18578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 134679240 divided by -6733962\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16 + 254694*b**3 + 17 + 629818*b**3.\nAnswer: 884512*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, y: 1}. Give prob of sequence du.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woowhuhowulouoy. Give prob of sequence yl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061982 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: In base 4, what is -10 - 130?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -995 + 9949\/10. Let x be (-14)\/20*96\/(-56). Which is the third biggest value? (a) -4 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 146035, 146048, 146071, 146104?\n\"Answer: 5*c**2 - 2*c + 146032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 87, 0.02, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k + k - 2*k + 4*k - 5*k + 3*k - 3*k - k + (-5*k + 2*k + 2*k)*(1 - 1 - 2) + 0*k - k + 2*k)*(2 + 2 + 5).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 8. List the prime factors of ((-5)\/x)\/(1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191154588*l**3*m**2 - 4*l**3*m*y - 4402*l**2*m*y - 16*l**2*m + 63*l**2*y - 4*m**2 wrt l.\nAnswer: -1146927528*m**2 - 24*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24460, 48889, 73318, 97747, 122176, 146605?\nAnswer: 171034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 192*w + 635 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 108 = 4*i - 12*c, -i + 8*c + 135 = 13*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -49, -57, -45, -7, 63, 171, 323?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -406. Let j = x - -495. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1830 divided by -366.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - 2*n**4 + (-20 - 77*n + 74*n + 144*n**2 - 143*n**2)*(0*n + 0*n - 2*n**2)*(1 + 0 + 1).\nAnswer: -6*n**4 + 12*n**3 + 80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10715209 divided by 6\nAnswer: 10715209\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 + 4041*x - 4176*x + 23*x**2 in the form j*x**2 + b + s*x and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {z: 4, r: 3, x: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289968 divided by -3?\nAnswer: -96656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1118760?\nAnswer: 1118760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -75. Suppose -3*u = 9, 0 = 5*j + m*u - 3*u - 28. Factor 2\/11*a**3 + 2\/11*a**j + 0*a + 0 + 0*a**2 - 4\/11*a**4.\nAnswer: 2*a**3*(a - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326077, 3\/2, -6, -3\/5.\nAnswer: -6, -3\/5, 3\/2, 326077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*j + 2, 18*n - 4*n + 23*j = 10*n + 16*j - 62 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tltitttttttetxitt. What is prob of sequence tili?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.1. Let j = -0.081 - 0.119. Which is the nearest to 6? (a) 1 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -35. Let o = p + 31.99999924. Round o to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + y**4 + 2*y + (-9 - 24 - 2)*(3*y**4 - 7*y**4 + y**4).\nAnswer: 106*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -511107 greater than -511104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/6*2358\/1834.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k - 13. What is the remainder when z(3) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00415461352 to five decimal places.\nAnswer: 0.00415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - q = -5*q + 17679, 3*g = 4*q + 17703. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480715406.\nAnswer: 2, 41, 53, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2429*d**2 + 0*d - 1215*d**2 - 100*d**3 + d - 1215*d**2 in the form z + k*d**3 + i*d**2 + p*d and give k.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -8. Let w = 95961 + -95976.0042. Let d = i + w. Round d to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113*x**2 + 39430*x + 15147118 wrt x.\nAnswer: -226*x + 39430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354682 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwwwrrrrs. Give prob of sequence sr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, o: 8, g: 5}. What is prob of picking 2 w and 1 g?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1044 and 101\/348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/16)\/((-38)\/1026)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*b - 9, 6*b - 9 = 7*b + 4*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 + 266*o - 1728. Calculate a(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-125)*-5*3\/6*-10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*w**3 - 12*w**2 - 38*w.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:10 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1067 and 5931453?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 165*t - 264*t - 372 = 0. Let l = -7 - -10. Which is the nearest to 0? (a) -46 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 1328, 1926, 2524, 3122?\nAnswer: 3720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 7*g**4 - 2*g**2 - 4*g**4 + 2 - 5 in the form a*g**3 + p + y*g**2 + f*g**4 + j*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 60*n = 62*n + 14, -4*n = -3*m + 14. Let f be 30\/(1 - (-1)\/1). Solve -f = -b - m*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467920, -935171, -1402422, -1869673, -2336924?\nAnswer: -2804175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 602.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 70.43. Let s = -0.03 + t. Sort s, -1, -1\/10 in increasing order.\nAnswer: -1, -1\/10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204497\/15 - -13633. What is the third smallest value in -0.2, -116, -4\/5, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:27 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*u + 12*l**3*x - 8*l**3 + 3*l*u*x - 3*l*u wrt u.\nAnswer: 3*l**3 + 3*l*x - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3204 - 3209. Let m = 10.5 - 10. Which is the nearest to -8? (a) 4 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 2.06. Let s be (4\/(-8))\/((-4)\/32). Put r, -0.5, s in increasing order.\nAnswer: r, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cc63 - c0b?\nAnswer: -20b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/70 + 37\/7. Suppose -2 = -0*v + v - m, 3*v - m = 2. Suppose 3*s - 5 = z*q, -v*q + 29 = -s + 6*s. Solve 4*f + 9 + 6 = -o, 2*o = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*g + 12, 3*t + 0 = 5*g - 23. Suppose 0 = 5*w - 3*c - 56, w + c + 36 = g*w. Calculate the highest common factor of 52 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 303, 402, 497, 588, 675, 758?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 23\/3, 18?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -4 - (-16)\/32. What is the biggest value in 2, s, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -9)\/((-21)\/(-231))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18929192.61 to the nearest 100000.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1001010001001111?\nAnswer: -1001010001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, 0.5, 11, 57, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.3722337 rounded to 1 decimal place?\nAnswer: -123.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4053 + -7308. Calculate the common denominator of 91\/50 and 6\/(-10) - (-1426)\/h - -1.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -407 - -406.9. Let v be (-8)\/3*(234\/48 - 5). What is the nearest to 8\/3 in c, -4, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 30. What is the remainder when 20 is divided by s(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*-2*2 + -6*2*sqrt(405))**2 + 3)*-4.\nAnswer: -269132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + j + 9, 2*l - 5*j - 12 = -j. Solve -l*v + 9 = 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 11 = -7. What is the tens digit of (-366)\/(-18) - d\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - 6*l - 7. Let o be g(-5). Let y = -3.38 - -2.9. Let w = -0.02 + y. Which is the closest to o? (a) w (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2066*f + 2218*f + 3496 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 1852, 4170, 7416, 11590?\nAnswer: 16692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 56*y\/13.\nAnswer: -2*y*(y - 28)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*d - 803, -2*p - 2*d + 429 = d. Round p to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 461, 1675, 3627, 6317, 9745, 13911?\n\"Answer: 369*q**2 + 107*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 679.4177 to one decimal place.\nAnswer: 679.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1 + 0 + 3*v**3 - 2 - 3*v + 3. Let u be r(2). Suppose u = t + 3*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 7. Determine z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10201, -10202, -10203, -10204, -10205?\n\"Answer: -o - 10200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 6 + 54. Calculate the remainder when (4 + 20 - 2\/4)*2 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50930.01 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -1950, -6326, -14716, -28434, -48794, -77110?\nAnswer: -114696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vvykvnkv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7150, 6704, 6250, 5788?\n\"Answer: -4*h**2 - 434*h + 7588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-20)*5)\/((-3)\/(-36))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2450980 and 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 26. Let n = -7 - m. Let y be -6*n*(-4)\/8. Solve 0 = -y*k + 2 - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*j**2 - 10*j + 0*j - 78*j**2 + 10*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 9 (c) 0.1 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16\/7)\/d*d\/d**(-3)*d)\/(d**(-2\/11))**(-12\/5) assuming d is positive.\nAnswer: d**(492\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/66304 and 95\/16576?\nAnswer: 66304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 5241 = -1009*s + 4106 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 + 211. What is the remainder when 238 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1158b9 (base 12) to base 10.\nAnswer: -279501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o + 2*x + 8 = 53*o, 4*o - 20 = 5*x. Suppose -4*u + 12 = -0*u. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 50 = -40. Let g be 710\/y - (-2)\/9. Let x = g + -7. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/((-105)\/(-73920))\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-54) + 26\/24)*20. Suppose -20*a = -15*a + r. Let k(j) = -9*j**2 + 3*j - 3. Let w(c) = -c**2 + c - 1. Calculate a*w(d) + k(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = 360. Suppose m = 4*s - 0*s + 37, 0 = m + 3*s - n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose 3*g - s*r = -21, -1 = 2*g + 2*r + 3. Let i be (-9)\/g + 1\/5. Solve i*w - w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1624*m - 3279. Is l(-61) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*c - 4 - 1.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -21. Let x be (1 - 5)*a\/12. Calculate the remainder when x\/((-5)\/(-5))*-22 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3642.358545 rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.715905 months to years.\nAnswer: 1.55965875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -429944 times -0.2\nAnswer: 85988.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10) - -1 - (-248)\/310. Let h be s*(1 + -1 + 2 - -4). Let m(v) = v + 3. Let c(j) = 2. Calculate h*c(d) - 4*m(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from tjjetxeeetxtieiexi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 9*h**2 - 3*h - 3. What is l(-4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -598*t**3 + 594*t**3 + 8*t - 8*t + 456*t**2 in the form m + h*t**2 + f*t**3 + b*t and give h.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 674067 = -6*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + f. Let h be (64\/96)\/(3\/18). Let o(r) = -26*r**2 - 3*r - 1. Calculate h*o(v) + 11*g(v).\nAnswer: -5*v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*-1*-6. Suppose 4*r + 76 = 4*u, 0 = k*u + r + 12 - 93. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 7 + 9*i - 6*i + 15*i + 9*i. Is 3 a factor of a(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 + v - 2. Let a be g(-2). Find the second derivative of -26 - 5*l**5 + 26 + a*l wrt l.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 95 + 275. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -26 + 7*b**2 + 3*b**2 - 5*b**2 + 4 - 7*b**2. Let i(r) = -58*r. Give i(d(f)).\nAnswer: 116*f**2 + 1276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154439 greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18658700 is divided by 1104.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24 + ((-558)\/(-108) - 6) and 23\/2974?\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/(f*f\/(f\/(f*f*f**(4\/3)\/f*f*f)*f)))**(9\/5) assuming f is positive.\nAnswer: f**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 + (-8 - -4 - -1)) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = -36. Let q(x) = -x**3 + 12*x**2 - 22*x + 8. What is the remainder when q(a) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*d - 75, 4*d + 4324*c - 75 = 4323*c for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 56. Suppose 3*k - 5*c - 364 = -c, p*k + 3*c - 237 = 0. What is the lowest common multiple of 16 and k?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 11. Let m be d(10). Let n(y) = 4*y**2 + 791*y**3 + 0*y**2 - 819*y**3 - 1 + 2*y. Does 11 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - q**3 - 1 + (-q + 0*q + 3*q)*(-q**2 + 0 + 0) - 2*q**3 + q**3 + 2*q**3 - 2 + 2 - 2*q**3 + 2 - 5*q**3 - 2.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 45402?\nAnswer: 45355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k**(-2\/9))\/k)\/k)\/k**0)**47 assuming k is positive.\nAnswer: k**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Suppose -9 = -2*q - j, -3*q - 4*j + 26 = -0. Let p(r) = 0*r**2 + 0*r**q - r**2. Calculate p(o(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -153354, -3\/2, -1\/2 in decreasing order.\nAnswer: -1\/2, -3\/2, -153354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (312 - 302) + -2 + (0 - 1) + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3\/2*z**2 - 7\/24*z**4 + 3\/2*z**3 - 1\/60*z**5 + 0*z + 26. Let s(t) be the second derivative of h(t). Determine s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47749 is divided by 2793?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3358639772?\nAnswer: 2, 73, 3221, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125517*s**5 - 82*s**2 - s - 163 wrt s.\nAnswer: -7531020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 1. Suppose 5*a - 15 = -4*j, 2*j + 3*a - 2 = 7. Let h(r) = -3 + j + 0 + 4. Determine 2*h(o) + m(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, b: 3, p: 2, y: 4}. What is prob of sequence pup?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176083, -8705092, -19586775, -34821132?\nAnswer: -54408163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1509, 3522, 6039, 9060, 12585?\nAnswer: 16614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 126*z**2 - 950*z + 25. What is m(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3 - (-90)\/24). Solve -5*t = j - r*j - 15, -9 = -2*j - 3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21172*s - 21922*s = 30000 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.11 (b) -3 (c) -677 (d) -328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -215*d + 588. Calculate p(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*z + 17 = -135*z - w, z - 74 = 5*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7693310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a - 1. Let n be d(1). Let x = 88 - 92. Sort n, 0, x in descending order.\nAnswer: n, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let h(k) = -41*k - 14*k**2 - 17 - 1 + 48*k + 7. Calculate h(s(g)).\nAnswer: -56*g**4 + 14*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(162) + sqrt(162) + sqrt(162) - sqrt(162))*4 + 2 + sqrt(98) + sqrt(98)*-1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -263. Let v(c) = c**2 + 2*c - 27. What is the smallest common multiple of 94 and v(p)?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2717700 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/15 + 212*o\/3 - 2363872\/15.\nAnswer: 2*(o - 854)*(o + 1384)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 32080.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62608366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10)\/((-2)\/(-4)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 8. Let t(x) = 10*x + 15. Suppose 4*p = 28 - 4. Let h(q) = p*t(q) - 10*a(q). Differentiate h(u) with respect to u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 w, and 1 l when four letters picked without replacement from wbwwwwwbwwlbwb.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 - 3*j**2 + 3*j - 3. Let a(m) = 5*m + 44*m**3 - 5 - 36*m**3 - 5*m**2 - 17*m**3. Determine 6*a(f) - 10*o(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 12 + 12)*(30 + 11 - 71) - 3*f + f + f - 6*f + 2*f + 3*f - f + 0*f + 0*f + (-3 + 5 - 1)*(-f + 3*f - 4*f) + 3*f - 3*f + 2*f.\nAnswer: -123*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 13*y + 7. Let l be w(-6). Solve 9*m + 26 = -l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/27)*q**14)\/(q*q**(-2)*q*(q\/q**10)\/q) assuming q is positive.\nAnswer: q**(650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 85.2. Is u bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2302*i + 2468*i - 81 + 87.\nAnswer: 166*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 22, 1\/499, 429?\nAnswer: 1\/499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8313447, -8313445, -8313443, -8313441, -8313439, -8313437?\nAnswer: -8313435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 52.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*u - 29 = 3*u, -20 = -4*u. Let o = k - 19. Suppose m - 10 = o. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1602194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let h(p) = p**2 + 13*p + 2. Let n be h(-13). Let o be n\/6 - 24\/36. What is the closest to -1\/5 in o, 1, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 153, 6, -2, 1 in descending order.\nAnswer: 153, 6, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 e when three letters picked without replacement from ehqlehqehelhh?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110228 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-1\/8)*k**(-5\/6)*(k*k**(2\/13))\/(k\/(k**(1\/3)*k)) assuming k is positive.\nAnswer: k**(185\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16048a (base 13) in base 11?\nAnswer: -341335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.3, -3\/5, -1303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by 106?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 - -3314?\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*p + 27663 - 27644 = 0, -2*p + 14 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16 = 4*s - a, -4*s = 4*a + 16. Let i be -1*s\/(-16) + (-27)\/(-12). Solve -3*c + c + 4 = b, i = b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1015379288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*f**3 - 164*f**4 - 3*f**3 - 15*f**3 - 3*f - 52 wrt f.\nAnswer: -1968*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88727941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 0 - (0 + 13 - (-266 - -266))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - sqrt(864)*2 - sqrt(864))\/(2*sqrt(1728)))**2 + ((sqrt(240)\/sqrt(6))\/sqrt(5))\/(sqrt(400) + (sqrt(400)*2 - sqrt(400)) + sqrt(400)).\nAnswer: sqrt(2)\/30 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 52*y - 51*y + 103*y + 0*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 - q - 1. Let s(p) = -3*p**3 + 5*p**2 - 5*p - 5. Determine -20*h(y) + 4*s(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*y = -0*y + 1, y = 4*b - 3. What is the units digit of b*9*(-8)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1356280 by -575.\nAnswer: 271256\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 156. Let y(d) = d**2. Give y(n(u)).\nAnswer: 16*u**4 - 1248*u**2 + 24336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*g**2 - 2)*(-3*g - 2 + 2) - 3*g**3 + g**3 - 4*g**3 + (-2*g + 0*g + 4*g)*(0*g + 5*g - 3*g)*(-5*g + 5*g + g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10458335, 20916677, 31375019, 41833361?\nAnswer: 52291703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 6, 0 = a - 2267*j + 2268*j + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41775884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.721821 kilometers?\nAnswer: 1721821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16178*o**2. Let s(i) = i**2. What is s(u(a))?\nAnswer: 261727684*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 15*f + 21. Calculate g(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 139, 339, 629, 1003, 1455?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4515266 greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2588311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191875 and 45743.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149527669 and 529?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, k: 1, b: 1, n: 1, t: 2}. What is prob of sequence kt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -40. Let j be (-86)\/(10\/(1 - 6)). Let o = j + z. What is the lowest common multiple of o and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l. Let z(v) = -v**2 + 12*v - 1. Suppose 0 = m + j - 6 + 3, 3*j + 40 = 4*m. Let d = -307 + 304. Let y(s) = d*z(s) + m*h(s). Solve y(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-5\/17)\/(l**(-9)\/(l\/l**2)) assuming l is positive.\nAnswer: l**(146\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + r - 36 = -2*r, -3*n - 4*r = -35. Let m(t) = 35*t - n*t - 13*t - 11*t. Let q(s) = -s**2 + 52*s. What is q(m(y))?\nAnswer: -4*y**2 - 104*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -4690526?\nAnswer: -17\/2345263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:52 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*d + 3075, -14*v + 2*d + 1017 = -13*v. List the prime factors of v.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bfa (base 16) in base 7?\nAnswer: -11640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.06 - 48. Which is the closest to 0.1? (a) 5 (b) p (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3082*w - 4194. Let h(l) = -772*l + 1048. Let r(z) = 9*h(z) + 2*y(z). Differentiate r(j) with respect to j.\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2049, -1 in increasing order.\nAnswer: -2049, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 2. Let u be f(9). Let q be 8\/6*192\/u. Let i = q + -8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - l**2 - 25*l - 8. Let k(i) = 3*i**3 + i**2 + 26*i + 10. Calculate 4*k(b) + 5*x(b).\nAnswer: 2*b**3 - b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30414 - 12?\nAnswer: -30430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 381 or 380?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 856474601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15575 and 34\/525.\nAnswer: 46725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 - 1543705890335.\nAnswer: -1543705890334.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 0 - 47916*v**2 - 395307*v - 2178*v**3 - 44*v**4 - 1\/3*v**5 = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5268 and 5532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) -5 (c) -1\/111 (d) 1672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 g when four letters picked without replacement from aagaaqqcqigcagai?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -4 (c) 0.3 (d) 2\/141 (e) -628\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/69476 and 91\/12632.\nAnswer: 138952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from nggggngnggn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(648)*1))\/((sqrt(54) - (sqrt(54) + (sqrt(54) + sqrt(216)\/sqrt(4))*3 + sqrt(54)))\/sqrt(9)).\nAnswer: -sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/204*(-1 - -1). Factor v - 5\/2*x**3 + 5\/2*x**2 + 5*x.\nAnswer: -5*x*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 35*m\/4 = 0. What is m?\nAnswer: -35\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.59 and -0.027.\nAnswer: 0.06993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h\/h**(-16)*h)\/h)*h*h**(-2\/85) assuming h is positive.\nAnswer: h**(-1277\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 16468?\nAnswer: 16468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c + 11 - 395 = 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85797.\nAnswer: 3, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 9 = -24. Let c be ((-8)\/3)\/(1 + (-4)\/q). Suppose 4*g = -4*a + 16, -4*a = a - 2*g - 55. Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*s**2 + 671*s**2 - s + s.\nAnswer: 306*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, 156, 305, 514, 783, 1112?\n\"Answer: 30*z**2 - z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*sqrt(135)\/(sqrt(3) - -1*(sqrt(3) + sqrt(75))).\nAnswer: 24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/26 and 43\/209404.\nAnswer: 209404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -106*y - 472\/3*y**2 + 2\/3*y**5 - 308\/3*y**3 - 80\/3 - 24*y**4 = 0.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7220375*g*r**2 + 36916*r**2 + 109*r + 1 wrt g?\nAnswer: 7220375*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(39*104\/(-2028)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 1\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - 0.16. Let o = -0.08 - 3.92. Which is the smallest value? (a) o (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*f + 28, -2*u = 5*f - 6 + 18. Let m be (f - -10) + (-30)\/6. Let d be (-1 + (2 - 1))\/2. Put m, d, -4, 10 in decreasing order.\nAnswer: 10, m, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 3603*m**3 + 1095*m**3.\nAnswer: -2508*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1118\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 7. Let t be s(4). Suppose 0*x + t*x - 430 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10875 and 2067000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513719637?\nAnswer: 11, 13, 17, 1034027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:31 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 6. Let v(l) = l + 5. Let u(q) = -6*q - 5. Let k be u(-4). Suppose 5*a - 5*x + 5 = 0, a + k = 2*a + 3*x. Calculate a*v(m) - 3*n(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/10412879?\nAnswer: -1\/10412879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:12 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 1.50342.\nAnswer: -1.49658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 80818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqehqyyqq. What is prob of picking 1 h, 2 q, and 1 y?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8445808\/949 + (-8)\/(-26). What is the greatest common divisor of 200 and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373378793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(42\/7)\/((-6)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/3, 3, 5001, -2\/19 in descending order.\nAnswer: 5001, 3, 5\/3, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52, 4.4, -1?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:14 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1387 + 1389. Let y(d) be the first derivative of 0*d + 1 + 4*d**3 - 13\/2*d**k. Find the second derivative of y(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -7*o = -3*o - 12. Suppose -12 = -0*k - o*k. Calculate the lowest common multiple of k and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 32 - 70 + 38 - 1. Let j(q) = 4*q - 24. What is -24*d(o) + j(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/30)\/(2\/4) and -95\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 4. Let a be u(5). Suppose a = -t + 4. Solve 9 = -t*r - 6*v + v, -5*r + 3*v + 19 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246802, 246805, 246810, 246817, 246826?\nAnswer: 246837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 9174?\nAnswer: 45870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 1*sqrt(171) + -3)*-5 - ((sqrt(171) - (sqrt(171)*1 + -5)) + sqrt(171) - (3*sqrt(171) + -4 - sqrt(171)))) + 1)**2.\nAnswer: 312*sqrt(19) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2058293 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786108621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(3\/5)*v**(-17) assuming v is positive.\nAnswer: v**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 6. Let h(b) = -7*b - 5. Give -6*d(t) + 7*h(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -2089?\nAnswer: 22979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-2*sqrt(294)))**2.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 17306 - 16345 + 0*a + a + 4*a.\nAnswer: 3*a + 961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36*((-132)\/(-110))\/(8\/170)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 + 0*c**2)*(25*c**3 - 42*c**3 + 23*c**3) - 555*c**5 + 221*c**5 - 157*c**5.\nAnswer: -479*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*l**2*r**2 + l**2 + 10*r**2 - 223*r wrt r.\nAnswer: 24*l**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 794*s**3 - s**2 + 12*s - 10. Does 32 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(((-54)\/8)\/(-9))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -18 (b) -9.6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/5 (b) -2\/9 (c) -4.9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 202018 = 2*o, 0 = -o + m + 14515 + 86480. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213884 and 11352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 176\/(-84) + 1. Let m = 0.56 + -0.06. Let r = m + -0.3. Is n < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856378561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 87592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 2) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 32. Suppose i*s - 5*s = 159. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n - 16*n + 725. Let t = -3 - n. Let i = 251 - t. List the prime factors of i.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 19*i + 43. What is h(-14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33830 divided by 3?\nAnswer: 33830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 4*k + 1. Let x = -53 - -58. What is d(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -2\/17 (c) -3\/4 (d) 4 (e) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892515, -5785026, -8677537, -11570048, -14462559, -17355070?\nAnswer: -20247581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 3. Let g = 44 - 38. Give d(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -3\/2*y**3 + 0 - 1\/12*y**4 - 7\/2*y**2 - 5*y. Give d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*o = -0*o + 9, l + 5*o = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*s = -1650*s + 1350 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2)\/(-6))*(-6)\/30.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -20*x - 13. Let v(f) = -10*f - 7. Determine -4*b(q) + 7*v(q).\nAnswer: 10*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from {v: 6, q: 2, i: 3, y: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:20 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 87. Let l be (-4 - (-5 - 1))\/(3 - 2). Suppose -l*w + 119 = -0*w + i, -4*w + 5*i + 203 = 0. Calculate the remainder when w is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190095821.\nAnswer: 2377, 79973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-2)\/(-40)). Let u(p) be the second derivative of p**3\/3 + 9*p**2\/2 + 12*p. Calculate the remainder when u(j) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 - 2*v + 4. What is c(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543.7095 nanoseconds to minutes.\nAnswer: 0.000000009061825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -133\/2, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = 44. Let o = s - -44. Suppose 2*g - o = g - 5*w, -5*w = -25. Solve -i + 0*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + b - 2, -p + 3*b + 0 = 6. Let g(q) be the second derivative of p*q**2 - 1\/18*q**3 + 0 + 0*q**4 + 1\/60*q**5 + q. Factor g(o).\nAnswer: o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42073, 41995, 41799, 41431, 40837, 39963, 38755, 37159?\n\"Answer: -9*i**3 - 5*i**2 + 42087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1608\/6968 - 37\/104\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**3 + 2*h**2 + 8*h + 2. Does 45 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 95 + g**4 - g - 2*g**3 - 15*g**2 + 2*g**4 to o + n*g + y*g**4 + a*g**3 + d*g**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d. Let r be o(-3). Let k be 1*r*24\/(-7). What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and -16991.\nAnswer: -16980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-11)\/k)*k**37\/k assuming k is positive.\nAnswer: k**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 + 4*r. Let y be b(-1). Let d(g) be the third derivative of -g**5\/10 - g**4\/24 - g**3\/6 - 2*g**2. Give d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 6*x + 1. Let y(i) = i**2. Determine a(y(v)).\nAnswer: -2*v**4 - 6*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36785 - -61548. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:44 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35058, -74825, -114578, -154311, -194018?\nAnswer: -233693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184197676*b - 77073875 wrt b.\nAnswer: 184197676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -16 (b) 1 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573556 is divided by 164.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162441 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.17, -2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*-7*(372\/(-63))\/31?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 112. Suppose 0 = -2*i - 2*i + j. Solve -4 = -4*s - i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -11 + -1 + 8 + -8 + 5 + 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 1464, 2195, 2926, 3657, 4388?\nAnswer: 5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2216 + -146. Let j = i - 919. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*o + 286*o - 3198 + 72822 + 11010 = 0 for o.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 12 = -5*t, -3769*t + 8*o = -3770*t + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c + 17. Let y be 9*(-1 - 12\/(-9)). Let s(m) = -3 - 2*m - y*m + 2 - 7. Give -6*f(x) - 13*s(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:36 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 23. Let m = 160 + d. Let w = 115.000057 - m. What is w rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -588, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 616*s**2\/9 - 46810*s\/9 + 96100\/9.\nAnswer: -2*(s - 2)*(s + 155)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*c + 4*w, 3*w = 5*c + w - 30. Suppose 5*p = -4*r + 468, -3*r - c*p + 374 = 23. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203432185 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -705.8.\nAnswer: -211.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.3 times 505?\nAnswer: -332441.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 + 1696*j**3 - 471452*j**2 - 2933400*j + 12997152 = 0 for j.\nAnswer: -614, -9, 3, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27084 smaller than -27083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 154367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h + 196 = -2*j - 60*h, -3*j - h = -12. Let m(k) = 46*k**2 + 1. Calculate m(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30 + -31 + (-4)\/(-10). Which is the smallest value? (a) -2\/57 (b) -2.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16678345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275) + 4)**2 + -5)*-2.\nAnswer: -590 - 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1196274, -9570301, -32299806, -76562529, -149536210, -258398589, -410327406?\n\"Answer: -1196290*j**3 + j**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.6546 litres in millilitres?\nAnswer: 31654.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -790 (b) 75 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 79156 divided by -11.\nAnswer: -7196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436885, -436887, -436889, -436891, -436893?\nAnswer: -436895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 22 + 4. Let v(s) = 58*s**2 - s - 2. Let y be v(-1). Suppose -4*n = r - y. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16599916*u**3 - 10647295*u?\nAnswer: 99599496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, 8, -4, -14, -63.\nAnswer: -63, -14, -4, -3, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -434*p + 413. Let q be j(1). Let k = -2 + 3. Put 0, k, q, -5 in descending order.\nAnswer: k, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let p be m(-2). Suppose 0 = -k + 4*l - 4, -4*l + p = 0. Solve 5*v + k = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10 - 3*j - 13 + 7. Suppose 0*a + a - 4 = 0. Determine k(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*p**2 + 1929065*d**2*p - 7*d**2 + 3*d*p**2 + 20*d*p - 2*d + p**2 - 174680*p wrt d?\nAnswer: -2*p**2 + 3858130*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 + 1. Let h be x(3). Let q(v) = -v**2 - 5*v - 5. Let g be q(-3). Solve g = 2*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*t + 1, 0 = -y + 2*t - 6*t + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (12 - 6) - 6) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 9. Calculate the highest common divisor of c and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*i**2 + 6854*i - 6867*i - 21*i**2 as g*i**2 + n*i + x and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18867, 18868, 18869, 18870, 18871?\n\"Answer: k + 18866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = -n - 0, -8 = n + 2*q. Let d be 3 - -4*3\/n. Factor 3\/5*s + 0 + 0*s**3 + 6\/5*s**4 - 3\/5*s**5 - 6\/5*s**d.\nAnswer: -3*s*(s - 1)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 656 + -277. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 w when four letters picked without replacement from {e: 3, w: 3, q: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 25*w**2 - 158*w - 10. Calculate the remainder when n(-16) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1.07.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -927 + 6523\/7. Suppose r = -r + 4. Factor b*m - 8\/7*m**r - 8\/7.\nAnswer: -2*(m - 4)*(4*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108028160231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-270)*(2 + (-30)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880000 rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)*t**(-2))\/((((t**(1\/2)\/t)\/t)\/t)\/((t\/(t*t**(-5\/11)\/t))\/t)))**(-36) assuming t is positive.\nAnswer: t**(-477\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**19)\/n)\/((n*n**11*n)\/n))\/(n*n**(-8))**(-5) assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-354)\/(-90) + -4)\/((-12)\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -990986, -1981967, -2972948, -3963929?\n\"Answer: -990981*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 846 = -11*i. What is the greatest common divisor of i and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 - 38 = -5*z, 4*t = 4*z - 28. Suppose -s - p = 3*p - 18, z*s - 12 = -p. Suppose s*a = n - 28, -n + 2*n = -4*a + 4. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93465557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -394*s - 18. Let r(b) = -397*b - 24. Give 2*r(c) - 3*t(c).\nAnswer: 388*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 35) + (4 - 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*f + 13, 2*s + f + 17170 = 17178 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19965389?\nAnswer: 401, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*g + 234. Let t = -59 - g. Suppose 0 = 3*s + 4*j + 21, 5*j = -5*s + 3*s - 21. Put 0, s, t in decreasing order.\nAnswer: 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 37 = 4*j. Suppose 4*f + 0 = j. Let i = 3 - -6. Solve -i = f*h - 5*q + 8, 0 = h + 5*q - 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 12*o**2 - 10*o - 5. Let r be s(11). Solve 3*a = -4*m - 28, -2*a - 16 = r*m - 4*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/3 (b) -1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3176*z - 63897. What is s(-20)?\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234438 divided by -5718?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**2 + 2*l + 67*l**3 - 3*l - 69*l**3 to the form u*l + j*l**2 + y*l**3 + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 2, q: 5}. What is prob of sequence lql?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b = 20 - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 124. Solve -35 = -5*x - d*b, 0 = -4*x - b + 2*b + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -16. Let c be (-15)\/(-4) - y\/12. Suppose -j - 150 = -4*k - 4*j, -c*j = -k + 28. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7805652 divided by 3902826\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (1 - 1558\/(-8)) + (-100)\/(-80).\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)*k*k\/(k\/k**(-11))*k)\/((k**(7\/5)\/k*k)\/(k**(-2\/139)*k)) assuming k is positive.\nAnswer: k**(-24087\/2780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 + 162. Suppose -j + 1 = -2*z. Solve -z = 3*r - 4*r + 5*l, -2*r = l + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 20 - 5*i**3 + 5\/4*i**4 + 3*i**5 - 5*i**2 + 5\/6*i**6 + 0*i. Factor s(x).\nAnswer: 5*x*(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.158 - 7.688. Which is smaller: -8\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/7 in 7875, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*d + 2*d + 16 = 0, 3*d = 2*g + 14. Is -25*2*g\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -637 + 585. Let o = -19 - 36. Let g = o - t. Which is the closest to -2\/7? (a) 0 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 141 and 138 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*s + 15, -18*w + 18 = 3*s + 18*w - 34*w for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 117\/26 - -9*(-6)\/36. Let i(b) be the first derivative of -2\/3*b**k + 0*b**2 + 14 + 0*b. Let z(v) = -9*v. What is i(z(l))?\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 6*u - 6. Let i be ((-132)\/77)\/((-4)\/1274). Let w = 551 - i. Determine n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(256))\/sqrt(8))**2*-5 + 1 + 0.\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201212302 (base 4) to base 13.\nAnswer: 4a866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74934098038\/7 - -1343060684155\/126. Let t = 45646661 + q. Let h = t + 12700. What is the common denominator of h and 101\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 3*k**2 + k - 3.\nAnswer: -(k - 3)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 8*q - 3*q)*(469 - 469 + 275).\nAnswer: -2750*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 11*z + 4*z)*(0*z**3 - 2*z**3 + 3*z**3 + (-2*z + 2*z**2 + 2*z)*(3*z - 4*z - z)) as f*z + c*z**4 + l*z**3 + r + p*z**2 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -61*x - 2. Let l(n) = 2*n**2. Determine l(u(a)).\nAnswer: 7442*a**2 + 488*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -918\/5 + 183. Let n be (2\/(-4))\/(1\/(-10)). Suppose -25 = 5*a, -25 = 2*j - 7*j + n*a. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2121859 - -2121858.5999996. Let p = 1 - 0.6. Let x = p + d. What is x rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314255 (base 9) to base 13.\nAnswer: -67070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.38 + 21.502. Round o to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 0. Let c = 10 - 3. What is the remainder when r is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 4295.\nAnswer: -1\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8, -5*u - 227 = -h - 235. Solve -h*t + 4 = 2*x, t = 5*x - 10 - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:48 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3990 - o + 3991 - 3*o. Calculate k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*j - 549*i**4 + 4002*i**2 + 22*i*j + i - 3195*j + 1 wrt i.\nAnswer: -12*i**2*j - 6588*i**2 + 8004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = 3*q - 9, 4*q = 2*j + 2. Let l be 0*(q\/(-4))\/1. Suppose -3*f + 4*g + 10 = 0, -4*g + 60 = 4*f - l*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1770*v - 1793. Is d(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921276 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2*a - 16 + 17, 4*w = 3*a + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 7*s + 3. Let i = -2133 - -2126. Determine c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/55)\/(440\/(-2200))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7517*2 + (-14 - -15). Suppose -5*d = -5*o + 23456 - 4636, -4*o + v = 3*d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b + 29. Let d be k(4). Let s(c) = 8*c**2 + 3*c + 12. What is the hundreds digit of s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3\/7 (c) 61 (d) 455.2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272875693295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2907900 divided by 1795\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + (-96 - -39))*1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - (11 + -7)) + -16 + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1321883\/40 - 33047. Let p(z) be the second derivative of -3\/2*z**2 + d*z**5 + 3 + 2*z + 1\/60*z**6 - 11\/12*z**3 - 1\/8*z**4. Factor p(c).\nAnswer: (c - 2)*(c + 1)**2*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**4 + 0*m**3 - 3 - m - m - 1 + 3*m**3 + 10*m**4 + 10*m**2 in the form h + l*m**3 + x*m**4 + g*m**2 + a*m and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1318 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 8. Suppose 17*y - 9 - 25 = 0. Give f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974422.25s in days?\nAnswer: 22.852109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 1050.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 17*i - 574. Let r = 1766 - 1754. Calculate the remainder when i is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143203986 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*sqrt(13)*1 + sqrt(13) - -5*-2*sqrt(13)) + -3.\nAnswer: -5*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2, -o + 0*o = i - 4. Let a(j) = 2*j**3 + j**2 - 2*j. Let k be a(-2). Let r = i - k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 + 374*m - 537. What is z(40)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (23 - (1 - -11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z - 3*z)*(-2*z - 3*z + 4*z)*(2*z**2 - 5*z**2 + z**2) - 4*z**4 + 2*z**4 - z**4.\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 + 39*h + 44. Let c be t(14). Let q(x) = -1 + 26*x**2 + 13*x**2 + 6 - 37*x**c - 3*x + 0. Determine q(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Let u(p) be the third derivative of -p**4\/24 + p**3\/6 + 2*p**2. What is u(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 141 + 3*a + 508 + 447.\nAnswer: 3*a + 845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14)*(-6)\/4. Let i(y) = -7*y - 4 - 6*y**2 - 2 - y**3 + 5*y**2 - 6*y**2. Let d be i(-6). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*c - 88*c - 88*c)*(53 - 9 - 28) to i + j*c and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (560*d + 5 - 3 - 798*d)*(4*d**2 - 2*d**2 - 3*d**2) as w*d**3 + f*d + c*d**2 + l and give w.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, i: 1, o: 1, w: 1}. Give prob of sequence oi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryr when four letters picked without replacement from {j: 3, d: 1, b: 2, r: 6, y: 7}?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 433665?\nAnswer: -434004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 2*o + 1. Let z be d(-3). Let k be 3\/(-12) + z\/(-8). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1637520 and -119\/6550080?\nAnswer: 6550080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38562.613 rounded to the nearest 10?\nAnswer: -38560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 14. Let p be m(-11). Let f = 7 + -4. Solve f*c = 4*c - p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05199 + -47.71801. Let n = 48 + h. Let z = n + -3.23. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1509 + 1535. Solve -p = 8*y - 42 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/35 + -19\/105. Let v = -0.1 + 0.1. Put v, 1\/5, i in increasing order.\nAnswer: i, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109997?\nAnswer: 3, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Let z = -0.04409 + 4.04409. Suppose -8 = 5*u + 2. Which is the nearest to x? (a) 2 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53200 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + t**2\/2 + t + 1. Suppose 2*o - 4*o + 4 = 0. Let w(g) = g + 3 - 4*g**3 + 2*g + 2*g**3 - 4*g**o. Give 3*p(j) - w(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m - 20. Let u(o) = 18*o - 38. What is 5*f(w) - 3*u(w)?\nAnswer: -9*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:50 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.806396 - -1.805. What is u rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/17 + 124418884*y\/17 + 124418882\/17 = 0. What is y?\nAnswer: -62209441, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -421359?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/102029 or 1?\nAnswer: 3\/102029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 4*y**2 - 7*y - 6. Let m be o(-5). Suppose -5*b = m*h - 43, -24 - 21 = -5*b - 5*h. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*m + 115*m + 4032 = -102*m - 94*m for m.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r - 0, 2*x = 4*r + 30. Let u(j) = j - 6. Let d be u(x). Let i be 1\/2*(d + -1). Are i and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxwaabxaaaab. Give prob of sequence abf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s**2 - 8*s**2 + 11*s - 12*s - 11*s**2 in the form g*s + n*s**2 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 105. Find the common denominator of 1\/(-2)*-21*3 and ((-18)\/g)\/(4\/(-110)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/17230 and -65\/833932.\nAnswer: 4169660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56049)\/(-942)*4\/(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Suppose 0 = 23*h - 24*h. Let a(r) be the third derivative of -1\/12*r**4 + h*r**3 + 0 - 3*r**2 + 0*r. What is a(x(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -619?\nAnswer: -61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3194866?\nAnswer: 2, 1597433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 11*s**2 - 7. Let x(z) = 3*z**3 - 20*z**2 + 14. Let j(t) = -5*q(t) - 3*x(t). Let b = 7 + 0. Suppose -b - 18 = 5*f. Determine j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*d - 149. Let v be ((-3)\/(9\/30))\/1. Let k(x) = -x**2 - 14*x - 24. What is the remainder when d is divided by k(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737*r**2 - 745*r**2 + 1489*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103533, -103502, -103407, -103212, -102881, -102378, -101667, -100712?\nAnswer: -99477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from {m: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2, 99, 11 in ascending order.\nAnswer: -5, -2, 4, 11, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838612787?\nAnswer: 7, 17, 7009139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**2\/2 + 50*s - 14.\nAnswer: -(s - 14)*(7*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1529 - 1404. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 120, 195, 272?\n\"Answer: a**2 + 70*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 3, 1\/1001?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 6*x**2 - x + 8. Let l be j(-9). Let i(o) = 3*o**3 - 3*o**2 - 5*o + 5. Let c be i(4). Let v = l - c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.03 (c) -3\/4 (d) -21\/4 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01991 (b) -12 (c) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8781449.\nAnswer: 8781449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0534323 months in millennia?\nAnswer: 0.000087786025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -19.4.\nAnswer: 213.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -901.720992 to one decimal place.\nAnswer: -901.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 3*q**2 - 6*q + 5. Suppose 9*i + 15 = 6*i. Calculate o(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 115. Let l(w) = 23*w**2 - 13*w - 13. Let q(y) = 11*y**2 - 6*y - 6. Calculate c*l(b) - 13*q(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 + 4*b**4 - 2506*b**3 + 21044*b**2 - 13568*b - 37120 = 0.\nAnswer: -40, -1, 2, 8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 22 + 1497*w**3 - 12.\nAnswer: 1497*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:50 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = h - 3*o, 5*o - 85 = -4*h - 0*h. Suppose 10*y - 25 - h = 0. Suppose 0 = -4*u - 4*d - 387 + 3423, 0 = -y*u + 4*d + 3759. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70706 - -70706. Let t = -5\/3 + 2. Which is the nearest to -4? (a) t (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809604240.\nAnswer: 2, 3, 5, 137, 24623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1078768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366100\/770 - (-1)\/7.\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.086 - -0.086. Sort 22, -2\/9, m, 0.3 in descending order.\nAnswer: 22, 0.3, m, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from hhnnffmmmnynmmmh?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235139 by 1.\nAnswer: -235139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8039013 by 3.\nAnswer: 2679671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85582 + 85582 + 5*v + 85583 - 342325 + 85578.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 28596421.67.\nAnswer: 28596418.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 9*q - 24. Calculate the lowest common multiple of q and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 736, 1, -4 in decreasing order.\nAnswer: 736, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/10)*v**(-2\/3)*(v**(-1))**(7\/5)*(v**(-2))**(3\/2)*v\/v**(-4)*v*v**(-5)\/v assuming v is positive.\nAnswer: v**(-149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15151736 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**10))\/z**(-10)*z**(2\/11)*z\/(z*z**(-2\/43)*z))**(15\/4) assuming z is positive.\nAnswer: z**(136425\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22.2? (a) 0.2 (b) -44\/1303 (c) 2 (d) 3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9159463 or -9159460?\nAnswer: -9159463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68, 81, 94, 107?\n\"Answer: 13*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 - -0.36. Let d = w - 0.3. Let p = 7892 + -7897. Sort d, p, -4 in increasing order.\nAnswer: p, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + 3*s - 4. Let i be r(3). Suppose 2*u - 38 = -m + i*u, -m - 3*u + 20 = 0. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19090917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68936*v**3 + 0 + 0.\nAnswer: 68936*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - -0.07.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - 16301?\nAnswer: -16243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-5))\/((-4)\/(-40)). Suppose -p - 18 = -4*p. Suppose w = -p*o + 8*o. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/10 (b) 3\/8 (c) 27 (d) 0.1 (e) 429.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 1. Let h be -30*(88\/20 + -5). Suppose -h*j + 27 = -27*j. Let f be j\/15*-5*2. Calculate o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -27. Let d(n) = -n + 6. Let m be d(q). Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-154) - ((-1242)\/(-1449)*1\/(-3))\/1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110222 - 11121011?\nAnswer: -10010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2. Let k = -25 - -4. Let w(y) = -3*y**2 + 7*y. Let d(n) = n**2 - 2*n. Let q(v) = k*d(v) - 6*w(v). Give s(q(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**4 + 5*c**3 - 5*c**2 + 12. Let i(b) = 10*b**4 + 4*b**3 - 4*b**2 + 11. Let s(f) = 4*g(f) - 5*i(f). Find the first derivative of s(m) wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 + 1. Let q be j(1). Let z(n) be the first derivative of n**2\/2 - n + 1. Let g be z(q). Solve g = 3*h + 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Let m be ((-36)\/(-15))\/(-6) - (-89146)\/(-210). Let i = m + 425. Which is the smallest value? (a) i (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -66.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 8*d**2 - 7*d + 3. Suppose o + 56 = 9*o. Let n be j(o). Let s(b) = -n*b + 1 - 1 + 4*b. Let y(l) = 14*l**2. Calculate y(s(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 128055 divided by -1022\nAnswer: -128055\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 4. Let p be k(-9). Is (-32271)\/(-27) + 2 + p\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/13, -282, -9\/4 in descending order.\nAnswer: 5\/13, -9\/4, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3 - -1 - 1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 3, v: 4}. Give prob of sequence zv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))**(-2\/15))**(-2\/9) assuming s is positive.\nAnswer: s**(8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3417906347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*1*(-1)\/(-2). Is 8\/16*5822 - h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2899 + -2883. Calculate the remainder when 2013 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srkccckfkcckccckksc. What is prob of sequence rs?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7572696 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 20*q - 64. Find the first derivative of -3409*j**3 + 9 + 2*j**4 + 3409*j**q wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452\/7 smaller than 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96230524760 rounded to the nearest one million?\nAnswer: 96231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33094925 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(-2 - (-336)\/162). Let b be (3\/y)\/(1*5\/(-45)). Let w(p) = p**2 + 4*p - 4. Let o be w(-4). What is the closest to 4 in b, o, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7582 - 7548 = -34*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1116 or -2231\/2?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 32 = 3*a + 4*m, -2*a + 2*m = 0. What is the remainder when 4 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 49016?\nAnswer: 147048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuzruffuyfsfssf. Give prob of sequence frs.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177.7203099 - 2.2806001. Let u = p - -180. Round u to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + sqrt(22)\/sqrt(2)) + 3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1430)\/(-289575))\/(23\/(-115)).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97\/(-3395))\/((-1)\/15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q + 5*q + 4*q - 14*q + 5*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39609527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001723967 to six dps.\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6 = -h + 2*g, 0 = -h - 5*g - 1. Solve -3*u = 2*u + 3*d + 20, h*u - 21 = 5*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1010111101000010?\nAnswer: 1010111100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3)*-3)**2 + sqrt(3))*3 + 4.\nAnswer: 3*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1518 and 7314?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 5. Let n(c) = 10*c + 14. Let j(a) = -2*n(a) + 7*v(a). What is j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/3 - n**2\/2 + n + 1. Let k be -17 - -14 - (-8)\/2*1. What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - -8. Let j = z - 25. Let w = -7 + 10. Which is the closest to 1? (a) j (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 7. Let m be 24 + -5 + n\/2. Suppose -2*b + 5*x + 10 = -m, 2*b - 2*x - 12 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -4bb?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 + -5.87. Let f = -10 - m. Which is the nearest to 2? (a) 5 (b) f (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a century in months?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 3*g**2 + g**2)*(-g**2 + 2*g**2 + 3*g**2) + (2*g + 2*g - 2*g)*(g**3 + 5*g**3 - 3*g**3) to x*g**2 + a + o*g + h*g**3 + l*g**4 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131383, -262757, -394127, -525493, -656855?\n\"Answer: 2*p**2 - 131380*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -63, -103, -143, -177, -199, -203?\n\"Answer: j**3 - 9*j**2 - 14*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmyymmymm. Give prob of sequence mmy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.33 (b) -3 (c) 0.21 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 25. Let d be n(-11). Suppose -22*g + d = -21*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 10:16 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -355*c**3 + c**2 - 1. Let d be (-84)\/108 + 10\/(-45). Is 10 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507150 divided by 2.\nAnswer: -253575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(11))*1 - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 24*z**2 + 25*z**2 + 8*z + 16*z**2 + 2 - 86*z**2 + 20*z**2. What is v(10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s - 26*s**2 - 16*s**2 + 30*s.\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15 - (3 + 16)) + (0 - -3). Which is the closest to 2\/5? (a) k (b) 0.6 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19454263 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -5, -4, -346, 44, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12884328 and 1.\nAnswer: -12884327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, -26, -110, -228, -380, -566?\n\"Answer: -17*h**2 + h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -646 + 654. Solve j*h - 46 = -6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149718, -149716, -149714, -149712, -149710?\nAnswer: -149708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66820 is divided by 135.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3230 and 1677016.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 9*w - 4*w**2 - 3*w**2 + 9*w**2 as v*w**3 + h + s*w**2 + u*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - w - 8. Calculate i(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 22, -0.2, 1.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10115 divided by 16?\nAnswer: -10115\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2588 - 1.9.\nAnswer: -0.6412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 51. Give y(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 + 8 - (0 - -21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*j - 355325 = -4860*j for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 24\/29 (b) -0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let y be 3*(h + (-5)\/(-3)). Suppose 0 = y*v - 24 - 60. What is the highest common factor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*j + 2 + 1 + 0.\nAnswer: -244*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 + 6*k - 7. Let f(n) = 6*n**2 - 5*n + 6. Let l(j) = -6*f(j) - 5*x(j). Let y = -1 - -3. Let g = y + -4. Determine l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose -2*c = s*b - 12, 3*b - c + 3*c = 16. Sort -1, b, 12 in ascending order.\nAnswer: -1, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426378?\nAnswer: 2, 1213189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 45046734*j + 3 - 45047215*j in the form h*j + g and give h.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786850 is divided by 4234?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 8. Let u be l(-8). Suppose u = -2*g + 4*g. Let s(t) = t + 1. Let v(h) = 6*h - 4. Let p(a) = -5*s(a) + v(a). Determine p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/(n\/(n*n**4*n)*n*n*n)))\/(n*n\/n**(-1\/4))**(1\/13) assuming n is positive.\nAnswer: n**(-165\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1457 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8935 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.14, -1.422, 8, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62676651 - -62675882.75102. Let j = 760.05 + r. Let d = j - -8.2. What is d rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - s = 3, -z - 3*s = -0 + 9. Sort -5, 2, -4, z.\nAnswer: -5, -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*h - 104 = 0, 0 = a - 3*h + 8*h - 24. Is (-19294)\/a*(0 + 0 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:06 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*n**3 - a**2*n*x**2 - 3*a**2*n*x + 12*n**4 - 17*n**2*x**2 + 3*n*x**2 + 51 wrt n.\nAnswer: 18*a**2*n + 144*n**2 - 34*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/39120404?\nAnswer: 3\/39120404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32670 divided by -6534\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388.7 + -389. Let j = -7 + 9. What is the fourth smallest value in z, -4\/5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 27 = 3*d. Factor 8 + 3*y + d - 20*y**2 + 32*y - 7.\nAnswer: -5*(y - 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 5 + 9)*(4*q**2 - 5*q**2 - q**2) + 0*q - 2*q**2 + 0*q + 8*q**2 + 12*q**2 + 13 - 23*q**2.\nAnswer: -39*q**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-506*x**2 - 161*x**2 - 2*x + 358*x**2)*(-1 + 0*x - 3*x - 2*x)*((2 + 2 - 5)*(1 - 1 + 2) + 6 - 5 - 4).\nAnswer: -7725*x**3 - 1595*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 5*o + 1. Let i be l(9). Let g = -120 + i. Which is the nearest to g? (a) 0.1 (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (7 + -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -39. Calculate the remainder when 54 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -699, -1197, -2505, -5013, -9111, -15189, -23637, -34845?\nAnswer: -49203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 124708448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5826.544 - -5849. What is b rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 3, v: 9, g: 1, r: 2, f: 3, u: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/(s\/(s**(-14)*s)))\/(s*s**(-2\/31)*s*s**(-4\/21)*s*s) assuming s is positive.\nAnswer: s**(-12854\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 8*w - 1. Let f(c) = -3*c + 21. Let n = 161 + -157. Let g be f(n). Let j(o) = 3*o**2 + 2*o. What is g*j(z) - 2*m(z)?\nAnswer: z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3024\/420*10\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/27))**(-26)*v*v**(-20)\/v*v**4 assuming v is positive.\nAnswer: v**(-484\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**5\/5 - 11*v**4\/2 + 43*v**2\/2 + v - 607. Find the second derivative of o(l) wrt l.\nAnswer: 12*l**2 - 132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 less than -14.07555?\nAnswer: -14.51555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + -3.8. Let h = -0.02 + -4.48. Let g = y - h. What is the closest to 0 in -0.3, 5, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*v - 3 = 1, 4*l - 4*v - 32 = 0. What is the tens digit of 124\/l - (2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - c**2)*(1 - 1 - c) - c**2 + 5 + 3*c**3 + 12*c - 23*c + 10*c.\nAnswer: 4*c**3 - c**2 - c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 + 341?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 42438188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let u(z) = 10*z**2 - z. Let h be u(n). Does 11 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400885931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 122212?\nAnswer: -122203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:27 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/33 or 0.230638?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*i - 126*i - 51*i + 551968. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-1183) + (-1)\/7.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 26. Let z(m) = -m**2 - 9*m + 19. Let i be z(-9). Let t be k(i). Let v = t - -94. Is 44 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**7\/105 + 202*b**5\/15 + 629*b**4\/12 - 36*b**2 - 5. What is the second derivative of f(m) wrt m?\nAnswer: 24*m**2 + 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + d = 0. Let z be -130 - (3 - (d - -7)). Let y be (4\/(-8))\/(3\/z). Solve -2*b + 3 = 4*q - 3, -3*q = -4*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.0323 (b) 1\/6 (c) 0.4 (d) 4\/9 (e) -2\/7 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/19)\/d**6)\/(d**(-15)\/(d*(d*d\/(d**(-22)\/d))\/d)) assuming d is positive.\nAnswer: d**(650\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*5 + (sqrt(55) - (sqrt(55) + (sqrt(220) - 1*sqrt(220)))))\/(sqrt(180)*-1 - (sqrt(5) - sqrt(30)\/(sqrt(24)\/sqrt(4)))).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 520 = -93*h + 257*h - 336 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/129 and 31\/812670.\nAnswer: 34944810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506 - -570. Calculate the remainder when z is divided by 0 + 2*5 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3984057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 11. Let b = k - -7.7. Let m = b - -0.3. Put m, 0, -5 in increasing order.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j - 5*t + 1410, 2*t + 560 = 2*j. Calculate the remainder when j is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*b + 1222*b - 2578*b - 2137*b.\nAnswer: -3332*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:06 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 2 - 11*k**2 + 2*k**2 - 18*k**2 + 32*k**2 + 13.\nAnswer: -k**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -38, 1 in increasing order.\nAnswer: -38, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54505905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a3 - 479d?\nAnswer: -46ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758367, -1516716, -2275049, -3033366, -3791667?\nAnswer: -4549952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-182)\/(-26) + 7\/(-1). Suppose f = -8*h + 404 - 332. Solve 0 = -5*s + 2*m - 11, -m - h = 3*s - 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/6 and 95\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpp when three letters picked without replacement from ppdpdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*c + c - 20, 0 = 2*c - g - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15.5, -1\/4, -1220, -3, 4?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 3. Let d be 2*(0 - -1*3). Let r be h(d). Let u(y) = -y**3 + 5*y**2 - 5*y + 3. Calculate u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5.74 (c) 3\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/14 (b) 0.1 (c) -1555 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*a = 3 - 2, 0 = 5*a + 10. Let h be (-4)\/8*6\/u. Solve 3*k - 9 = 5*k - h*j, -5 = -5*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.2 - -52.3. Which is the smallest value? (a) o (b) 2 (c) -0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Let m = -9 - -4. Which is the closest to v? (a) m (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqddqdqqmqqqqqm. What is prob of sequence dmd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 3*h + 8, -2*x - 5*h = -4. Suppose -l - l = -t - 8, -4*t = -x*l + 2. Solve 5*n - 3 = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 5*z**4\/24 - 2*z**2. Suppose 0 = o + 2, 4*t = -0*t - 5*o + 2. Let q(x) = -14*x. Determine t*q(f) + 8*v(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2210 = 59*f - 57*f. What are the prime factors of f?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108934 and 98?\nAnswer: 762538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/21 and 13\/52353270?\nAnswer: 366472890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 1. Let k be h(-2). Let x = 189 + -188. Let n(a) = a**2 + 3*a - 6. Let p be n(-5). What is the second smallest value in x, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus -24.1?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 90 - 123*m - 117*m)*(-4 + 2*m + 4)*(4*m**3 - 4*m**3 + 2*m**3).\nAnswer: -960*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -7002?\nAnswer: -7004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 593633927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2019 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2023041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 <= -2069\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -4 (b) -2\/2047 (c) -2\/17 (d) 4 (e) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16 + 4386\/(-153))*(1 - 4)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1665162 (base 7) to base 16\nAnswer: 394d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14409 - -14422. Calculate the remainder when 2287 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -812 + 816. Solve -4*m - v = -0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32552454, -130209821, -292972100, -520839291, -813811394?\n\"Answer: -32552456*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 467105, 467085, 467051, 467003, 466941, 466865?\n\"Answer: -7*y**2 + y + 467111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35 and 1.082?\nAnswer: 33.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c = -1, -2*h + 5 = -2*c + 3. Suppose 4*p - 611 = 3*j, 2*p + 5*j - 92 - 181 = h. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 3. Let f(a) = -a - 15. Let y(t) = -5*t. Let l be y(3). Let k be f(l). Let s = -6 - k. Determine w(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 75. Let i be 2\/(6\/a*1). Put -4, 1, i in ascending order.\nAnswer: i, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1199887 and 67483?\nAnswer: 6228613417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1809 (base 10) to base 9.\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - 8. Suppose -h + 5 = -4*d, -10 + 59 = -3*h - 4*d. Let j = h - w. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1862100 to the nearest ten thousand.\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 91*p + 7644. Let i be n(-84). Solve i = -2*u + 6*f - 10*f + 18, 5*f = 3*u + 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26568*k**4 + 2780*k**2 - 3414*k + 28503?\nAnswer: -318816*k**2 + 5560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 - 3.6. Let m = 0.8 + -0.5. What is the nearest to -1\/4 in -2\/9, m, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9 + 6*o + 0*o - 9. Let l(k) = -23*k**2. Determine l(f(z)).\nAnswer: -828*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1807, -3942, -6079, -8218, -10359?\nAnswer: -12502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-45) + (-574)\/(-6). Let l be (-99)\/(-4) - (5 - 102\/24). Suppose -29*u = -l*u - b. Calculate the remainder when 27 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167 or -164?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232948 + -1.13.\nAnswer: 232946.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -31283554.8991.\nAnswer: 31283559.8991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 11*g**2 - g - 4. Suppose 0 = -s - 4*m - 31, 7*m - 23 = 3*s + 5*m. Let c be j(s). Solve -3*l - 2*f + 5 = -f, 3*f = -l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3 + 196*c**2 + 3068*c + 16384. Let t(y) = -2770*y - 195*y**2 + 2*y**3 - 3420 - 2984 - 9980 - 299*y. Let i(h) = -3*g(h) - 4*t(h). Factor i(d).\nAnswer: 4*(d + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 198*x**5 - 42*x**5 + 157*x**5 + 3 - x**5 - 3 + (-4*x - 2*x**4 + 4*x)*(1 - 1 - 2*x) - x**5 - x**5 - 2*x**5 - 2*x**2 - 2*x**5 + 2*x**2.\nAnswer: 310*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 29. Let s be a(-9). Suppose -4*i + 288 = -i + w, s*i + 5*w = 205. Suppose 2*u = -3*u + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293145779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let p be -1 - (0\/2 + -1). Which is the second biggest value? (a) 1 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34877 + 153009. Is (11 - (-98)\/(-9)) + a\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4875*g**2 - 24*g + 8. Let q(f) = 4158375*f**2 - 20475*f + 6825. Calculate 8*q(n) - 6825*r(n).\nAnswer: -4875*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:48 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4264 + 4263.4. Which is the closest to x? (a) -3 (b) 0 (c) 4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 64*k + 248. Give d(-58).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700694 is divided by 137?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/10, 0.5, -0.3, 23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26237, 51023, 74361, 96251, 116693, 135687?\n\"Answer: -724*t**2 + 26958*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.608782 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124242 (base 6) in base 14?\nAnswer: -41b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/41 (b) 4\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*p*z**6 + 3*p*z + 9*z**3 + 237*z**2 wrt z.\nAnswer: -15480*p*z**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -6*o + 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 17*m = 4*w - 36, 0 = 4*w + 3*m - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 13*j**2 - 190*j - 60. List the prime factors of z(19).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o, 3*j = -5*o - 13 + 28. Let l be (j + 3)*(-11)\/(-33). Suppose -83*t = -84*t + l. Which is bigger: t or 1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - 5*p**3 + 2*p**3 + 5*p**4 + 0 + 1 - p**4 - 2 + (3 - 7 + 3)*(-8*p**2 + 8*p**2 + 2*p**4) + p - p + p**4.\nAnswer: -p**4 - 3*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907735273 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8))**2 + -1 + sqrt(68)*3.\nAnswer: 16 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**8\/6720 + t**7\/315 + t**6\/720 + t**5\/40 + t**4\/4 - 28*t**2. Let w(c) be the second derivative of k(c). Determine w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 5*q + 9. Let c(z) = -6*z**2 - 8*z + 13. Suppose o - 4*k + 8 = 0, 8*o - 4*o = -5*k - 32. Calculate o*a(w) + 5*c(w).\nAnswer: 2*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = 3*a - 4*a, -4*n + 32 = 4*a. Let k = n + 14. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)\/(w**(-4)\/w))\/((w**(-1)*w)\/w)**(-3\/11))**5 assuming w is positive.\nAnswer: w**(465\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 6 = 2289*l - 2288*l, 3*g + 5*l + 36 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31254203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + 1.8. Let a = g - 5. What is the second biggest value in 1\/10, -5, a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*(-18)\/27)\/((-2)\/54). Is w less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295707740 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1\/3*j**4 + 0*j + 0*j**2 + 0*j**3 + 0 - 1\/3*j**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6656 - 1?\nAnswer: -6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + m + 127, 2*m = 3*x - 952 + 565. Calculate the remainder when 5184 is divided by x.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-735)\/(-6) + 3. Suppose l + 0*l - i = 0. Calculate the highest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 2 - 2)*(4*s - s - 2*s + (-2 - s + 2)*(3 + 3 - 5) - 8*s + 0*s - 3*s) + (-4 - 4*s + 4)*(-39*s - s - 18*s) in the form b + k*s**2 + c*s and give k.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10444000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) + 3*(sqrt(77) - -1*sqrt(77)) + sqrt(77))) + sqrt(77) + 3*2*sqrt(77))\/(-3*1*sqrt(112)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((sqrt(128)*-2*4)**2 - (1*(0 + sqrt(128) - sqrt(128)) - sqrt(128))**2).\nAnswer: -16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*h - 131 = -2*b, -5*b + 116 = 3*h. Suppose -54 = -3*w - 5*z + b, -3*w + 4*z + 34 = 0. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 424536656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2.78.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.4. Let g = o + 0.2. Let t = -1.1 - -1.6. Which is the closest to 0? (a) 1 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100101010111011101 (base 2) to base 13\nAnswer: 1a93c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + 4 - (-39 + 39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27566.649 to the nearest 100.\nAnswer: -27600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66907 less than -476106.09?\nAnswer: -409199.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1883685*i**5 - 5241*i**2 - 1436.\nAnswer: -113021100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 100 = -12*t - 2*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/20403 or 1?\nAnswer: -4\/20403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14845 - 6415 = -38*y + 6796 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10269 = g. Let i be g\/12 + (-3)\/12. Suppose i = 2*m + m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2090 - 1336 = 6*a. Let n = a - -576. Solve 24 = -5*l - m, -7*l = -4*l - n*m - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61129 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 40 = 6*s. Let i = s - -7. Sort -2, 1, i in increasing order.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 1, u: 1, m: 1, l: 1, z: 1, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 29. Let w be t(-13). Let h be (1\/(-2))\/(w\/(-12)). Let d be (-1)\/(-4) + (-17)\/36. Which is the third biggest value? (a) -0.08 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucuhcud. What is prob of sequence ucdc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 3, x: 2, v: 2, h: 1, b: 2, a: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 4. Suppose -o - 4 = -4*p. What is the greatest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 7613193.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let o = 4.6 - d. Let q = o + -0.6. Which is smaller: q or 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*h*v**6 + 39246*h*v**5 - 19*h*v**2 - h*v + 3*h + 630 wrt v?\nAnswer: -3960*h*v**3 + 2354760*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 1835366*o + 1835366*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6168, -6167, -6166, -6165, -6164?\n\"Answer: b - 6169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-19)\/(l\/(l*l**16))*(l**(-4\/11)\/l*l)\/l**(-5\/7) assuming l is positive.\nAnswer: l**(-204\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.85482 to one decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/54 - 2\/3. Let m = 74\/189 + j. What is the closest to 2 in 5, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193163.12147 + 193161. Let u = 0.04847 + s. What is u rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 19*w - 1. Let f(l) = -l**2 - l + 1. Let y(n) = 5*f(n) + z(n). Let j be y(-13). Let b(i) = -27*i - 16. List the prime factors of b(j).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*s = 1212*s - 2*t - 2*t - 36, -5*t = 16*s + 63 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68898788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (3 - 14)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 1429, 4412, 10353, 20278, 35213, 56184?\nAnswer: 84217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -464*v - 1592 + 1592 + (-1 + 0 - 1)*(-v + 6*v - 2*v).\nAnswer: -470*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/238824 and -5\/537354?\nAnswer: 2149416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1764624756 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 3212 + 5735 = 57*i. Let y = -61 + 88. Calculate the remainder when i is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4626 - 2874. Suppose 56*s + z = 62*s. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 - 3843*a**2 + 2 + 7668*a**2 - 3820*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 155400 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -6*v + 17*v - 88, 0 = w - v + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(-1\/19))**(6\/13)*l**4*l\/(l**(-1\/5)\/l)*l**(6\/11)*l*l**(-1\/2)\/l assuming l is positive.\nAnswer: l**(168369\/27170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/45)\/(544\/(-952) - (-117)\/70)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 45*z**2 - z - 48. Let g be l(-45). Which is the second smallest value? (a) g (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t**2 + 73*t - 514. Let r be g(6). Calculate the greatest common divisor of 80 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1800161\/246 + 7318. Find the common denominator of p and 37\/5.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/19 (b) 0.5 (c) -0.49 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666644, -666383, -666122, -665861, -665600, -665339?\nAnswer: -665078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 6 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8454*x - 373*x + 2777*x.\nAnswer: 10858*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = 2. Let r = b - 30. Let j = -17 - r. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffz when three letters picked without replacement from zbfuwbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13973 - -13963. Let o(k) = 6*k**2 + 60*k + 8. Give o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04874 * 3.694\nAnswer: 0.18004556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 1 (b) 4 (c) -5 (d) 0 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.08. Let d = 0.22 - o. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**2 - 225*a - 63. Let z = -55 - -79. What is the least common multiple of z and p(-37)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g)\/g**(1\/5)*g*g**(-4)*g*g**2 assuming g is positive.\nAnswer: g**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*u - 96, -m - 66 = -0*u + 3*u. Let k be (u - -5)\/(2\/(4*9)). Let c = -174 - k. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93160 - -93158. Let b = -3 + 5. Let d(g) = -g - g + b - 7*g. Determine d(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413667827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 + 7*n + 1. Give i(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 + ((-596)\/8 - -2). Let m = -47 - o. Let y = -18 + m. Is y at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 265*c**2 - 253*c**2 - 23*c**3 - 39*c**3.\nAnswer: -62*c**3 + 12*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13104 + 18698. Let o(l) = 31802 - 2*l**2 - q. Let s(t) be the third derivative of t**5\/20 - t**4\/8 - t**2. Give o(s(d)).\nAnswer: -18*d**4 + 36*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 36 - 0. Solve 0 = -2*d - t*g + 14, -3 + 11 = d + 2*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235*y**4 + y**3 + 17*y**2 + 10.\nAnswer: -5640*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217)\/((-265608)\/1377) - 55\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, -25, 3, 4, 2 in descending order.\nAnswer: 4, 3, 2, -3, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -278 + 545 - 264 - 285*y in the form x + t*y and give t.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6262 divided by -6.\nAnswer: -3131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3466394*-1.7.\nAnswer: 0.58928698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {p: 2, v: 4, u: 9, o: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -55046936.\nAnswer: 55046936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 7442*r**4 + 8052*r**3 - 5264*r**2 - 8052*r - 2178 = 0. Calculate r.\nAnswer: -1, -33\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 19*h + 1. Let c be v(8). Let s = 59 + -42. What is the greatest common divisor of c and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154624857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y + 536 - 7499 = 553*y + 178*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44431133 (base 6) to base 3.\nAnswer: -2112011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-12))\/1*9\/(-6). Let a be (-20)\/11 - (2 + -4). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -647661, -647658, -647649, -647634, -647613, -647586, -647553?\n\"Answer: 3*y**2 - 6*y - 647658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -7. Let n(w) = -13*w + 5. Let s(f) = -6*f + 2. Let k(u) = x*n(u) + 5*s(u). Let j(g) = g. Give j(k(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.37 + -0.3700086. What is i rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.044, -1\/2, -4, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t + 2880 = 246*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5200 and 32?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103931779*d**2 + 7*d - 620372 wrt d.\nAnswer: 207863558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4646 + -1.4646. What is the closest to -16 in 7\/2, -6, t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b + 3*b. Let f = 1 - b. Let w(x) = 15*x**3 + 4*x**2 + 2*x - 6. Let d be w(f). Calculate the highest common divisor of 49 and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884 and 153374.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 342, 349, 356, 363?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3334*s**3 + 3550*s + 3970*s + 2210*s**3 wrt s.\nAnswer: 33264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222 (base 4) to base 14.\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -1189677.\nAnswer: 100\/1189677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135817637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -206*y + 262. Let p be s(-6). Let m = -800 + p. List the prime factors of m.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*r = -2*r - 21, -3*o = -2*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13997 and 0.5?\nAnswer: -6998.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -22\/2336541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -1911?\nAnswer: 191a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/4*(-88)\/198. Solve -w*h + 8 = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 791 or 792?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6*i + i + 37, -2*w + 14 = 4*i. Suppose 47 = 3*q + 5*a, -q + 0*a + 19 = a. Let n = w + q. Calculate the highest common divisor of n and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -4*r**2 + 1\/4*r**4 - 1\/120*r**6 - 1\/60*r**5 + 2\/3*r**3 + 0*r + 0. What is the remainder when y(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(2 + 3 - 4) - 2 + 0 - 3)*(-9*d + 2*d - 4*d).\nAnswer: 77*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p*q**5 - p*q**3 - p*q**2 - 46*p - 106*q**6 wrt q.\nAnswer: 60*p*q**2 - 6*p - 12720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109898*m + 1754 - 3510 - 109899*m + 1756.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-11))\/i)\/i*i*i**(3\/2)*i\/(i*i**6)*i**15)**(2\/7) assuming i is positive.\nAnswer: i**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u\/u**(-2\/7))\/u))*u)\/u**(1\/2)*u\/u**(-2)*u\/(u\/u**2))**6)**(-4\/9) assuming u is positive.\nAnswer: u**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 995 and 3886470?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/135)\/(4\/60). Let k(z) = z**2 - 2*z - 4. Let l be k(6). Let x be (r\/l)\/((-5)\/(-30)). Which is the nearest to 0.2? (a) -0.7 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2106 by -3.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {x: 3, a: 6, r: 3, g: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 1. Let v be k(1). Let t(f) = 9 - 2*f + 4*f - v. Is t(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 40, 38, 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - c + 1. Calculate g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371 - 43 = -51*t - 182 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + (-45)\/(-12). Suppose v*y + 0*y - 16 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + 29 + -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 753. Let k(d) = d**2. Calculate k(z(i)).\nAnswer: 9*i**2 - 4518*i + 567009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-27))\/(10\/(-15))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -244 + 244 + (0 - 1) + (12 - 18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 21 + 4. Let f be c + (-4 + -1 - -2). Solve -f*s = 4*j - 9 - 9, 3*s = -5*j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308786941*i**5 - 33437*i**2 + 1223 wrt i?\nAnswer: -18527216460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 - 15*x**3 + 15*x**4 - x**2 - 252*x**3 - x - 6*x**4 - 6*x**4 as o*x**4 + w*x**3 + b*x + c*x**2 + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 8*w**2 - 3*w - 11. Give q(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.253 - -0.297. Let p = n - 0.15. What is the closest to 0.1 in p, 1\/9, -4\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in -2, 87, 2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/280*24\/45.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 + -63.3. Let f be 8*8\/30 + -2. Which is the biggest value? (a) g (b) 6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*x - 960 = -24*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.311 + -3.689. What is the third smallest value in 12, 0.3, 0.1, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-1*4)\/sqrt(11).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times 12?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.94*-33.\nAnswer: 295.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.19879 - 4\nAnswer: -4.19879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 4*a + a**4 + a**2 + 3*a**2 + 2*a**3 - 3*a**2 in the form i*a**2 + m*a**3 + w + x*a + j*a**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*n + 198*n + 267*n + 186*n - 10900 = 0 for n.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, l: 1, s: 9, j: 1}. What is prob of sequence jul?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 25. Find the common denominator of (l\/49)\/((-2)\/22) and 117\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 - 21*y + 182. Let l(q) = q**2 - q - 14. Let b(u) = 4*l(u) + n(u). Let b(f) = 0. What is f?\nAnswer: 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 1, n: 3, g: 6}. Give prob of sequence zg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 4 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbllllbllllllllll. What is prob of sequence ll?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 120. Let w be (-24 + j)\/(1 + 1). Put 2, w, 5 in ascending order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*f = -f + 101, -242 = 5*c - 2*f. Let y = 119 + c. What is the units digit of -2*y*6\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22547188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b)\/b**(2\/5))\/(b**(-2\/3))**(2\/51)*(((b\/(b\/(b**(-3)*b)*b))\/b)\/b**(-6))\/(b**1)**9 assuming b is positive.\nAnswer: b**(-35662\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {k: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -11 + 31 + -6 + (-21 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48481289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, g: 6, d: 3}. What is prob of sequence ggkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*v - 354*v + 185*v - 11)*(-7*v**2 + 3*v**2 - 3*v**2).\nAnswer: 49*v**3 + 77*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 3*t - 4. Suppose 0 = 4*w + a - 0*a - 9, -a = w - 6. Calculate the lowest common multiple of (12 - w)\/((-3)\/(-6)) and p(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3928122495 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1125, -6431, -15907, -29553, -47369, -69355?\n\"Answer: -2085*p**2 + 949*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + -2*sqrt(1344))\/(4*sqrt(27)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/5)\/((-296)\/185).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339594.\nAnswer: 2, 61, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23144*40.\nAnswer: -9.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 7704343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23394 - -10005. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-8))\/(138\/230)*2\/(-5)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 569 divided by 29091\nAnswer: 569\/29091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 + 0*a**3 - 5*a**3 + (-2*a**2 + 2*a - 2*a)*(0*a + a + a) + 69320*a**2 - 69319*a**2 - 1815*a**3 - 3813*a**3.\nAnswer: -5634*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 5*v**4\/54 - 4*v**3\/9 + 4*v**2\/9 - 5*v. Let k(w) = 0. What is w?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 1418, 4785, 11328, 22103, 38166?\nAnswer: 60573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1939 - 4*d**3 - 1939.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55899 + -32721. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 4 + 0*y**2 - 6*y - 3*y**2. Let o be n(-2). Let k be ((-4)\/10)\/(o\/(-40)). Solve -k*a + 9 + 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*l - 122, 0*l - 98 = 4*l - 2*s. Let a = l - -95. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/33)\/a)**(2\/85) assuming a is positive.\nAnswer: a**(-14\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29850 by 5970.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167 - -531. List the prime factors of d.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 4*h)*(2*h**2 - 2*h**2 + h**2) + (-2*h + h - h - h - h - h + (209 + 29 + 228)*(-2*h + 4 - 4) + 2*h - 3 + 3)*(0 - 2 + 2*h**2 + 0).\nAnswer: -1871*h**3 + 1870*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 6:51 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:19 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.19 + -0.19. Let i = 253647.069897 - 253667.07. Let v = i + y. What is v rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47218285.3000374 - 47218266. Let v = 19.198 + 0.102. Let y = h - v. Round y to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3 - 18 - 2*r - 3\/2*r**2 + 3\/4*r**4. Find v, given that q(v) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/5 (b) 21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -4, 251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = -z, 0 = 3*s + z. Let h = s - -3. Suppose -d - 14 = h*u, -2*u - 10 = 4*d + 6. Let y(n) = n**3 + 4*n**2 + n. What is y(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 8*l + 132. Solve -3*c = l + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.854 - 0.046. Let i = -0.06 + 0.16. Let k = i - n. Which is the closest to k? (a) -2\/17 (b) -1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 0.05 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -40661\/486?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 14)*21\/(-14)*(-2)\/(-12). Factor 0 + 3\/8*t**g - 3*t**2 - 9\/2*t + 3\/8*t**4.\nAnswer: 3*t*(t - 3)*(t + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 13. Let q(v) = 18*v - 2. Give q(j(z)).\nAnswer: -36*z - 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6344748 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 22*z + 27. What is the remainder when 55 is divided by c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, q: 5}. Give prob of picking 2 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11778 + -11778. Suppose -2*p + 4*p = -10. What is the closest to h in p, -4, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/32*(-8)\/5. Suppose 2*l + t - 5 = l, 65 = u*l - 5*t. Solve 10 = 5*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 201. Suppose 2844 = t*p - 77*p. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 - -0.4?\nAnswer: 624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 12) + (-31 - -16 - -43) - (-2 - 12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89600 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Let p(b) = 10 + w*b + 6*b + b**2 - b. Does 11 divide p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 670*n + 666*n - 5, 10 = 3*b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652250, 652116, 651982, 651848, 651714?\nAnswer: 651580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 14*u + 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v = -709 + 583 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -554 and -134896786507.\nAnswer: -134896787061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6807 = 3*m - 6804, -f - 6 - 1 = -0*f + m for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*v + 534 = -379, -2*o + 5*v - 453 = 0. Is o != -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and (244\/28)\/((-36)\/(-21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 115, 98, 63, 4, -85, -210?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 3439?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.77 - -8. Let v = p + -0.12. What is v rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5717440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4\/(-18) + 15813\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2) - 0)*2. Suppose 7 = s - n, -s - 3*n = -5*s + 23. Solve o + s = -d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/12 + 7*q**3\/3 - 2*q. Let a be l(-14). Suppose -4*g = -3*f + 59, a*g = -3*g - 5*f - 37. Is g bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*k - 6747 = 6*k. What is the remainder when 111 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:01 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 1, v: 4, l: 3}. What is prob of picking 4 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 656285005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 8}. What is prob of sequence nnss?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 884115 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000*t - 1613*t - 4169 + 971 + 26031 = 0 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -82.92, 0.7, 0.1?\nAnswer: -82.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 + 213*i**2 - 2*i + 1. Let u(f) = f**3 + 2*f - 1. Let g(x) = -u(x) - z(x). Find the third derivative of g(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) - (sqrt(200) + (sqrt(200)*1 - sqrt(200))))) + -3)**2*5.\nAnswer: -600*sqrt(2) + 4045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 5*p - 80. Give x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3533457 and 4819.\nAnswer: 3538276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90657*i**2 + 173*i - 160*i + 90635*i**2.\nAnswer: -22*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-24)*-3 + 293683\/104.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.04458 rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 + b + 10. Let w be o(7). Suppose -c + 16 = -5*c, -2*c = 3*l + w. Let p be l - (2 - 51\/9). Do 1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-4)\/y))**(-35))**(-49))**(-12\/17) assuming y is positive.\nAnswer: y**(-123480\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -1043221?\nAnswer: -1043232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07024 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - q**2 + 3*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.202 - 0.002. Let c = y + -6.2. Let r = -3 - -5. What is the third biggest value in c, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666 by -24177.\nAnswer: 222\/8059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 5 - (2 + 0). Let n(r) = -3*r**3 + 5*r. Let u = 813 - 823. Let d(s) = s**3 - s. Determine u*d(y) + z*n(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1020\/6630)\/((-8)\/(-182))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - a - 64 = 4*a, -l + a = -17. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(119) - (sqrt(119) + sqrt(119) + -1*sqrt(119) + sqrt(119))) + sqrt(119))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86809 - 181526 = 9520*p + 253993 + 51130 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 85*q + 201 = 5*i - 351, i = 2*q + 130 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6722 + -114232\/17. Is f != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -76. Let v(w) = -w + 1. Let g(q) = 4*q - 7. Calculate p*g(z) + 5*v(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157.7 and 5.\nAnswer: -788.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2529 (b) 5 (c) 1\/34 (d) 2\/13 (e) 3\/4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 + 5*z + 6. Let f = -83\/40 + -1\/8. Calculate the common denominator of f and r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u*((u\/(u**6*u))\/u*u)\/u)**(-4\/23))**41 assuming u is positive.\nAnswer: u**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 24586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4936911 + 3522013 = -4*q. Let f = -1402068194\/663 - q. Let i = -2\/221 + f. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.554 and 31095.2.\nAnswer: 31072.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006383681 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 0. Let s be (q\/(-5))\/((-4)\/2). Let 4\/9*l**3 - 2\/9*l**4 - 4\/9*l + 2\/9*l**2 + s = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*(2 - 9\/2). Suppose -y = -4*n - n. Let t be (-3 + 4 - 6)*-22. What is the highest common divisor of n and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 34276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 20*v = 24592. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 183, 413, 745, 1185, 1739, 2413?\n\"Answer: n**3 + 42*n**2 + n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 0.064, -0.4?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(78\/(-24))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhphhhhhhhh. What is prob of sequence hhh?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36742?\nAnswer: 2, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 12*h**2 - 12*h + 13. Let b be g(-11). Calculate the highest common factor of b and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*c, -5*c = -2*c + 3. Let z = 5 + -1. Let 5*g**4 - 2*g**4 - a*g**4 - g**z = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:22 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*j - 134196, -3*w + 5*j = 70753 + 331837. Is w\/(-66) + 1\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, 1 f, and 1 n when four letters picked without replacement from {h: 3, n: 4, j: 1, c: 1, g: 2, f: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k - 17. List the prime factors of m(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705 + -704.652. Let x = -0.152 - i. Let r = -1 + 1.1. What is the nearest to r in 3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = 5*l, 5*l = d + 37 - 12. Which is bigger: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.920036 - 2.036.\nAnswer: -6.956036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 431\/4? (a) -2\/7 (b) -0.02498 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 37. Let n = g + 34. Let m(q) = 5*q**2. What is m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 45*l - 172. Let b(m) = -21*m**3 + 4*m**2 + 12*m + 4. What is the hundreds digit of b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.2 - -18.2. Which is the smallest value? (a) 5\/3 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9 = h, -3796 = 3*a + 2*h + 3799 - 7589 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 3*c - 42. Give h(-10).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*f - 2348, -f + 2324 = 3*f - 5*x. Suppose 595*y - f*y = 1692. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.799997 - 5.8. Round b to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhmqbbhlqmb. Give prob of sequence cql.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28295\/(-458379))\/(5\/12)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111110001 + 100001010010111?\nAnswer: 101010010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/4 + w**3\/2 + 27*w**2\/2 + 1573*w. Determine f(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/7 - (-11)\/539*41153. Which is smaller: s or 842?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46656390 divided by 5\nAnswer: 9331278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 701521 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 2*j, -2*j - 5*y = -j + 1. Let n(i) = 12*i + 1. Calculate n(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r - 2*r)*((-6 + 2 + 3)*(-2*r + 2*r + 2*r) + 4*r - 125 + 125) in the form z + p*r + s*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ppoccjm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21769132493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1)*3*2)**2*-4.\nAnswer: -100944 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -177*v**2 - 154*v + 82. What is t(-2)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, 1\/134843, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 52 = 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 13*h**2 + 19. Let u be k(13). Suppose 0 = u*p - 7787 - 4715. Is p a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (824 - (11 - 28))\/((-2)\/(-8000)). Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.3 (b) 1 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + -6 - (1*-2 + 11). Let u = k - 2. Let d(x) = x**3 + 9*x**2 + 7*x + 2. Let h be d(u). Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (240 - 96 - 90).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5841989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 2, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 3*b - 5. Suppose h = -5*h - 48. Let u(g) = -5 + 2 + g + g + 3*g**2. Calculate h*u(m) + 5*v(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -5 (c) -15 (d) -0.891 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q, 2*q + 19 = -2*a + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 10*r**4\/17 + 116*r**3\/17 + 386*r**2\/17 + 472*r\/17 + 168\/17 = 0.\nAnswer: -7, -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 141.06. Let a = -1.94 - k. Let j = 0.1 - 0.6. Sort a, 0, j in ascending order.\nAnswer: a, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(208)*-5)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 346010?\nAnswer: 346011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 3, 1\/10, 28?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*m - 3, 88*p + 2*m - 2 = 91*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + 40. Suppose 0 = -h - 4*c + 36 + 7, 5*h = -4*c + v. Calculate the lowest common multiple of 8 and h.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/86 - -497\/2838. What is the common denominator of 41\/30 and k?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 20 = -6 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21600203\/63 - -342873. Let r = 106\/9 - p. Let k be (-118)\/(-210) - 158\/1185. What is the closest to -1 in k, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 6*n**2 - 6*n + 6. Let k be m(-7). Let u be 2 - (-6)\/9 - k. Which is greater: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 454 = -2*b, 17*v - 4*b + 1096 = 447 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13594*z**2 - 24665*z**2 - 630*z**2 + 8802*z**2)*(z + 0*z + z)*(-2 + 1 + 3).\nAnswer: -120348*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbttmnwbpbp. What is prob of picking 1 b, 1 w, and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50197976.\nAnswer: 2, 6274747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25937 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: Evaluate 12\/(-8) + 2 + 1\/((-32)\/144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3377? (a) 2\/13 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*k**3*r**4 + k**3*r - 3*k**3 - k**2*r**2 + 291*k*r**4 - 1750*r wrt r?\nAnswer: -1200*k**3*r + 6984*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 20705*j + 85041. Calculate g(-4).\nAnswer: 2221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001035853108 to 6 dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/6003 + 1540778\/6003. Is 256 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*2282\/(-815)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654976259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w + 25*w + 11*w**3 - 47*w.\nAnswer: 11*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + sqrt(19) + -1*(sqrt(19) - (sqrt(57)\/sqrt(3))**2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - -5) - (3 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) - (6 - -2). Let v = b + 10. Solve 2*t + x - v*x = 0, 6 = t - 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 105*a**2 + 8*a - 84. Let n be o(-36). What is the highest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 584243 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -290825*q**2. Let k(l) = -452*l. Give k(i(u)).\nAnswer: 131452900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5, 10 = 2*n - 3*n - 2*g. Suppose -5*h = 5*l - l - 64, 2*l - h - 18 = n. What is l rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 17*q = 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 26*m + 28*w - 32*w = -24, 0 = -2*m + w - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966894 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -401, 118, 38?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59231 and 3909246.\nAnswer: 3909246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x. Let s(n) = 3*n + 0*n - 8*n. Let f(v) = 17*s(v) + 6*w(v). Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0372*4.\nAnswer: -0.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 12. Let x = s - 11. Let y(d) = -d**3 - d**2 + 2*d - 3. What is the remainder when 26 is divided by y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5683, -5685, -5687?\nAnswer: -5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128148404 and -5.8515?\nAnswer: 128148398.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 204962371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001011011 (base 2) to base 4.\nAnswer: 321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-6)*(-24)\/(-10). Let a(c) = -c**3 + 6*c**2 - 9*c + 10. Give a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3581.43ng to micrograms.\nAnswer: 3.58143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941819 divided by -3?\nAnswer: 647273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (206 - n**2 - 206 - 4*n)*(1 + 2*n - 4*n + 0*n).\nAnswer: 2*n**3 + 7*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*y - 5 = -y, -5 = -v + 5*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -26*p + 1. What are the prime factors of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -6 + 12 + 20*n + 22 - 5*n**4. Differentiate s(h) with respect to h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n - 4*n)*(-3*n - 2*n**2 + 3*n + (-2 + 2*n + 2)*(-3*n + 6*n - 4*n)).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*z = 1, -2869 = g + z - 2870 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + 2?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 8, -8.\nAnswer: -8, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - -295. Let k = 71 + b. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101000 + 0?\nAnswer: 100100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p + 235*p - 22232 = -389*p - 235*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6) + 0 + 2. Let j be (35\/(-18) - -2)*4. What is the nearest to -1 in j, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a763a5 (base 11) to base 9.\nAnswer: 3213354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -153*((-4)\/(-6) - 1). Let x = 99 - j. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 36*x - 5 + 2.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -11. Suppose -4*r - 3*b + 63 = 0, r - 6 = -b + 10. List the prime factors of r\/g*(-11 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200121112 (base 3) in base 5?\nAnswer: -22100330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 + 187*z**2 + 1808*z + 3. Let n(r) = -35*r**3 + 1495*r**2 + 14465*r + 25. Let j(q) = -25*d(q) + 3*n(q). Factor j(f).\nAnswer: -5*f*(f + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.2, 121\/3, 1.1217, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -k, 0 = -2*t - 2*t + 5*k + 21. Suppose 0*w = -w + t. Calculate the smallest common multiple of 2 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -20, 4*w - 5*y + 2*y = 120. Let o = -67\/2 + w. Suppose -v + 3*v = 10. Which is the second biggest value? (a) o (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - 84*a**2 + 117*a + 647. Calculate u(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 0*n + 6*n**2 - 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2. Let l(u) = -5*u**3 - 17*u**2. Give 9*a(x) - 2*l(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3227112, -3227106, -3227094, -3227076, -3227052, -3227022, -3226986?\nAnswer: -3226944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1214, -2478, -3742, -5006, -6270, -7534?\n\"Answer: -1264*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -917 - -917. Let a(u) be the third derivative of l*u - 5\/24*u**4 + 0*u**3 + 0 + 17*u**2. Let t(x) = x. What is a(t(s))?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 5*b - 543 = 0, -5*b + 249 = a. Let q = a - 40. Does 32 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663533.\nAnswer: 3, 184837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 4*i**2 - 5*i - 9. Suppose -4*o + 2*p - 24 = 0, -4*p + 26 - 2 = -2*o. What is the units digit of a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 0*k**3 - 64 + 65 - 76*k**2 - 349*k**2.\nAnswer: -6*k**3 - 425*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (816\/(-10))\/((-1)\/25). Suppose 155*m + o = 159*m. Round m to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Suppose 0 = i*c - 106 - 50. Suppose 4*n + 2*x = n + 58, 0 = 4*n + 2*x - c. Calculate the lowest common multiple of 2 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 1 g when three letters picked without replacement from jljcgjcjjgllglgjgj?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/8 + 2*q**2 + 20*q. Let z(c) be the first derivative of a(c). Let b(l) = 1 - 1 + 5*l. Determine z(b(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284273.\nAnswer: 11, 43, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000419657 rounded to 7 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15279*s**3 + 13295*s**3 + 18313*s**3 + s.\nAnswer: 46887*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -423, -430, -439?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 4*a - 4*a)*(-a + a + 2*a)*(2*a + 2*a - 6*a).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 75 = -c. Let o = c + 27. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - (58 - 90)) + 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*p + 192*p + 65*p**3 + 141*p**3.\nAnswer: 206*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 572115 + -2288461\/4. Let y be (-4)\/(-6) - 20\/3. Let h be (1\/9)\/((-2)\/y). What is the third smallest value in -3\/8, x, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 329 = 4*p + 87, 96 = m - 5*p. Does 8 divide m\/3 + (-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -555. Calculate the remainder when x is divided by 178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -14. Calculate the common denominator of (16\/(-6))\/((-4)\/24) and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -17 + 7*z**2 + 17*z - 3*z**2 + 2*z**2 + 1217*z**3. Let r be s(7). Round r to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/2 + 489*m**3 + 807366*m**2 + 301234703*m + 69976182885\/2 = 0.\nAnswer: -329, 1965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2) - 2277\/345?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36555724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (1 - 2) - (11 + -15). Let p(x) be the first derivative of x**4\/4 - x**3\/3 + x + 21. Let o(n) = -5*n**2 + 5. Calculate c*p(m) - o(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1.1, -0.2, -1.560767, 3, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532\/2313 - -2\/257. Let q = 3.5 + -4. What is the nearest to 1 in -0.1, q, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c (base 14) in base 11?\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 31*g - 117. Let x(o) = 107*o - 354. What is 7*q(s) - 2*x(s)?\nAnswer: 3*s - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.15 (b) -15 (c) -2635 (d) -1 (e) -2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmhm. What is prob of sequence hmh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**5 + 5*u**4 - 3*u**3 - u**2 + 2*u - 4. Let p(t) = 6*t**5 + 6*t**4 - 3*t**3 - t**2 + 2*t - 5. Let l(s) = -5*h(s) + 4*p(s). Factor l(g).\nAnswer: -g*(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5411\/890 + -16\/89. What is the common denominator of k and 51\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.6 - -13. Let c = 85 - 83.7. Let d = c - r. Put -1\/2, 2\/11, d in increasing order.\nAnswer: -1\/2, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1050*a**3*r**2 + 3*a**3*r - 7*a**2*r + a*r wrt r.\nAnswer: -2100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/75? (a) -2\/13 (b) -3 (c) -333859 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {s: 7, u: 3, w: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 16) to base 7\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - c - 8*c**2 - 4 + 3*c + 3*c**2 + 6*c**2 + c**3 to the form t*c**2 + b + w*c**3 + k*c + q*c**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54764 + 13668 + 4*p + 13678 + 13751 + 13667.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1)*x)**(12\/5))**(-30))**(6\/7))**(-36) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856577753.\nAnswer: 3, 263, 87151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = 5*x. Suppose 2*s - 139 = x*h, 2*h - 98 - 158 = -3*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/5 + 7997376*u**3\/5 - 15994749*u**2\/5 + 7997374*u\/5 = 0. Calculate u.\nAnswer: 0, 1, 7997374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 19, 0, -27, -62, -105?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 693 = 0. Let k be (12\/(-14))\/((-51)\/i). Let u = 505\/102 - k. Calculate the common denominator of u and 34\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -5, -6, -329.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let w be t(0). Suppose 5*j - 4*c - 66 = 0, j = -c - w*c + 15. Calculate the remainder when j is divided by (-3 + 1)*16\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6025 + -6008. Calculate the least common multiple of p and 0 + 3 + -6 + 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p. Let x be b(7). Let g = -453\/5 - x. Suppose 2\/5*k**2 - g*k - 4\/5 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10667 divided by 1?\nAnswer: 10667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3)*(0 + -3). Suppose -21 = -r + v*d - 5, 6 = r - d. Solve -j - 4 = r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1\/9*15. What is the first derivative of -13*l**2 + 3*l**2 + x*l**2 - 4 wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13135\/6 - -2189. Let o = -328\/5 + 66. Put 1\/4, g, o in descending order.\nAnswer: o, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 57396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*k*s**2*t + 2556*c*s**2*t + 7*k*s**2*t + k*s*t wrt c.\nAnswer: 2*k*s**2*t + 2556*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25\/633 (b) 3 (c) -2\/9 (d) 0 (e) 0.03 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z**4 - 1\/30*z**5 + 0*z + 1\/140*z**7 + 0*z**6 + 0*z**3 + 0 + 89*z**2 + 1\/672*z**8. What is x in t(x) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61911223.\nAnswer: 11, 157, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/4 - 927*w**2\/4 - 5226*w - 25312 = 0.\nAnswer: -904, -16, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3178 and 6906248.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 328 = y + 3*y, 2*k - 3*y = 631. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9656616.\nAnswer: 2, 3, 402359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwijiipijwiiijji. Give prob of sequence ii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 236*p**2 - 141*p**2 + 1463*p**2.\nAnswer: 1086*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1\/5, 0.8, -1802 in increasing order.\nAnswer: -1802, -29, 1\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.300125 - 66.3. What is f rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 6 + 8 - 10 + z**3 - 5*z**2 in the form x*z**2 + i*z**3 + p + j*z and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 5*k + 24. Let x be c(-9). Let a be (-16 - x) + (-37499996)\/1. What is a rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h + 5. Let w be v(-5). Let d be w\/(2\/6*2). What is the highest common factor of 25 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 724, -1, -2.\nAnswer: -2, -1, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4058, 4072, 4098, 4142, 4210?\nAnswer: 4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 4*i = -443, 5*i + 288 = 3*n. Suppose 8*g - n = -803. Let s = 127 + g. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1646290\/56742 - 8\/588\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 366 - 362. Suppose 4*x - 107 = -4*l + l, y*l - 130 = x. Calculate the highest common factor of 88 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from fxxfxxxxff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2012201 - 4?\nAnswer: 2012142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8228 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 5*w - 3. Let r be j(-3). Let h be (-8 + 14)\/(r\/(-14)). Let z be h\/(-8) - 1\/2. Solve 18 = -z*l + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -59. Suppose 0 = -6*y + 47 + 7. Let o = y - n. Which is greater: -10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0*h**3 + 1\/2*h**4 + 0 + 0*h**2 + 2*h. Let l(t) = 5*t - 5*t + t + 0*t. Calculate l(d(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90\/1174991 or 1?\nAnswer: -90\/1174991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.62, 1\/3, 1\/2, -5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 34. Let m = q + 12.9. Let c = -2 - -1.6. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -138*q - 9. Let y(p) = -68*p - 5. Calculate -3*g(h) + 5*y(h).\nAnswer: 74*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 11. Which is the closest to -4? (a) -3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 19 + -34 + 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -0.3, 359, -0.17, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let q(p) = -2*p - d*p + p - 4*p**2 + 2*p + 6. Let a(x) = -4*x**2 - 2*x + 6. Let f(w) = 3*a(w) - 4*q(w). Factor f(o).\nAnswer: 2*(o - 1)*(2*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1737*g**2 - 2*g - 3541 wrt g?\nAnswer: -3474*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10954 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: b\"What is the uth term of -757068, -757350, -757632, -757914, -758196, -758478?\n\"Answer: -282*u - 756786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u + 1882 = -8472. Calculate the remainder when 508 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/15 - 82*q**4\/15 + 2656*q**3\/15 + 3056*q**2\/15 - 10592*q\/15 - 10912\/15 = 0.\nAnswer: -62, -2, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, z: 10, c: 4}. Give prob of sequence czcz.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -36 - 6*s + 66 - 34 + 17*s**2. What is the remainder when m(-3) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1035 - -1039.19. Round s to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3462700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/9 + 19*i\/9 - 260\/3.\nAnswer: (i - 20)*(i + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9*q + 8 = 0. What is the common denominator of (-17)\/170*83\/2 and (q\/2)\/((-36)\/(-170))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukh when three letters picked without replacement from uwohnkn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((2 - 6) + 2 - 3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/(50\/(-30))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 623 - 331. List the prime factors of f.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143 in -1\/472, 0, -0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/h**(-10)*h**(1\/5)\/h**(4\/5) assuming h is positive.\nAnswer: h**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31488204 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 9*x + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (228\/(-18))\/((-4)\/18). Suppose 7*b - 4*b - k = 0. What is the greatest common factor of b and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10001110111000?\nAnswer: -10001110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -4247?\nAnswer: -4246.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-11*(-48)\/352 - 204\/(-52)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -3597.\nAnswer: -35.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2063185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from immmmemeemmemm?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91*-13*(-63)\/(-3549)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*l + 8*l + 21*l + (-3 + 3 - 1)*(4 + 3*l - 4).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y + 4*c + 6, 2*y - 29 = 3*c. Let g be (-15)\/(((-21)\/6)\/y). Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54511 (base 14) to base 5.\nAnswer: 23012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -68.600000609 + 68.6. What is c rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11035 - 0.08935. What is the second smallest value in -2\/13, -1, o, 1\/4, 1\/12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 59*j**2 + 8*j + 57*j**2 - 19*j.\nAnswer: 116*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 10. Let m(u) = 7*u - 3. Let o be m(2). Let h = -1 + 4. Solve x*r + 12 = 4*r + n, o = r + h*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*(0 + 2). What is the units digit of 8 + (k\/1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/3 + 4*r**3\/3 + 15*r**2\/2 + 6*r + 5. Find the first derivative of n(v) wrt v.\nAnswer: -8*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/69)\/(7756\/6371).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 71 = 62. What is the units digit of (-15)\/20 - (c - (-326)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -14*s + 18*s. What is the highest common factor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*m*s**5 - 107*m*s - 2*m - 47*s**4 - 6*s wrt s?\nAnswer: -1260*m*s**3 - 564*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16632176858 - 16632176858 + 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1251107, 1251108, 1251109, 1251110?\nAnswer: 1251111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6)*(-12)\/(-8). Suppose d*t = -4*i + 56, -3*t + 42 = 4*i - i. Suppose i - 70 = -4*g. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 12, e: 1, x: 4}. What is prob of sequence xmm?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33*l + 36. Determine n(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1884 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607770 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10010110110011100110?\nAnswer: -10010110110011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 - 4*r + 12. Give c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.18, 12, -2\/7, -2, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 1567*t + 1570*t + 87 = 0, -5*z = -4*t - 149 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.342 and -8?\nAnswer: 18.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15154, -30307, -45460?\n\"Answer: -15153*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67145 times 0.08?\nAnswer: 5371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20723137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05742 and 567.44.\nAnswer: 567.38258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/424 and 73\/24.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/114 - (-27)\/((-4617)\/(-18))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 1202, 1806, 2414, 3026, 3642, 4262?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 150 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -12. Let i be (s\/8)\/((-4)\/32). Let q(r) = -r**3 - 10*r**2 - 3*r + 13. Is 10 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 9. Let a be g(-9). Suppose a = v - 0*v - 60. Suppose 2*k + k = -4*j + 36, 5*j + v = 5*k. Solve 0 = -3*r - k + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.15131 + -10.13\nAnswer: -10.28131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -78, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000842 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 4. Let c(a) = -a**2 - 7*a + 5. Let g be c(-8). Let i be f(g). Let q be (-72)\/(-7) - i\/(-7). Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/5327 + 729745\/95886. Calculate the common denominator of ((-2)\/(-10))\/((-10)\/(-725)) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/7)\/(3\/(-14)). Let u = 62\/15 - j. Find the common denominator of (-1 + 0)*78\/38 and u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -3, 5, -4 in increasing order.\nAnswer: -42, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-56) - (-60)\/160. Which is the third biggest value? (a) z (b) 0.2 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003166 to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8034 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 20)*(3*a + a - a).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and 0.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -28*c**3\/3 + 15. Let a(r) = r. Calculate a(s(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/14 - 0\/(-1). Let u = 10 + -15. Let h = -4.5 - u. What is the biggest value in 2, v, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 5. Let a = -18 + 13. Let x be w(a). Suppose -5*p - u - 4 + 24 = 0, 5*u - 25 = 0. Solve -x*i - 5*s + 58 = 8, -p*s = 5*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.482 + 209.518. Let o = -2.738674 - 207.252426. Let v = o + i. Round v to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -29*v + 1027. Let t be u(35). What is the greatest common divisor of 1632 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 5. Let g(d) = -1. Let i(j) = 4*g(j) - p(j). Let k be i(-2). Let s(w) = w**3 - 6*w**2 + 5*w + 3. Give s(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h - 6. Let j(d) = -d**3 - d**2 + 4*d + 3. Let s be j(h). Suppose 0 = s*i - 6*i - 48. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*l + 2*l. Suppose 46079*n - 30 = 46073*n. Suppose -n*a + l = -0*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(17) - 6*sqrt(68)\/sqrt(4)) + (sqrt(51)\/sqrt(3) - sqrt(17)) + -4)*5)**2.\nAnswer: -55125 - 5000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Let x(w) = -w - 7. Let u(b) = 6. Suppose 0 = -p + 3*y + 9, -y - 18 = 5*p + 17. Let m(q) = p*x(q) - 7*u(q). Give o(m(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 6531.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88727 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t = -9*t + 14*t + 77. What is the nearest to -87 in -1, 5\/3, -0.5, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 2, -d = 3*p + 8. Suppose -2*v = -v + 2*j - 8, -2*v + d*j = 0. Let b(x) = -285 - v*x**2 + 285. Let h(q) = -2*q. Determine h(b(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -497562*d*w - 1485454*d wrt w.\nAnswer: -497562*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -149468 greater than -149523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 34. Is 3 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:55 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 27598312.\nAnswer: 275983120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 72 = 32*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.19553378 rounded to one decimal place?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 != 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/18 - 6\/(-27). Find the second derivative of m*v**5 - 3*v + 20*v**4 - 20*v**4 wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30035.\nAnswer: 5, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73188 plus -14?\nAnswer: -14.73188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*l - 327, -31*l - 3*t = -29*l + 287. Let a = l - -759\/5. Determine r so that -4\/5*r**3 + 2\/5*r**2 + 0 - 2\/5*r**4 + a*r = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let i(c) = -2*c - 6. Let f(q) = -i(q) - 5*p(q). Let d be f(6). Calculate the greatest common divisor of d and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-16)*r*r)**(-26))**(-48))**(-7))**(-42) assuming r is positive.\nAnswer: r**(-4769856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 40, 91, 176, 307, 496, 755?\n\"Answer: 2*u**3 - u**2 + 18*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/3, 9\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.2, 7, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.29 - 1.2. Let q = 0.31 + m. Suppose -3*b + 5*w - 6 = 0, 5*b = 3*w - w + 9. What is the second biggest value in q, b, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.2, 3\/62 in decreasing order.\nAnswer: 3\/62, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 20*r**3 - 2306115*r**2 - 576530*r = 0?\nAnswer: -1\/4, 0, 115306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/162980 and -49\/82.\nAnswer: 6682180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/4)\/(-7) - (-2)\/4. Let g(b) = 5*b + l + 0*b**2 + 4*b**2 - b**3 - 7*b. Suppose -2*q + 0 = -6. Give g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -123*w - 10. Let j(t) = -3. Determine 3*j(k) - z(k).\nAnswer: 123*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 0*a)*(-2*a + 3 - 3) + (a + 2*a + 3*a)*(-2*a + 2*a - a) + (1 + 0 - 2)*(4*a**2 - 6*a**2 + a**2) - 5*a**2 + 3*a**2 + 3*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20348823 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14641 + -5444. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(88) - -2*sqrt(88)*3)*5)\/(((sqrt(72) - sqrt(72)*-1)\/sqrt(9) - sqrt(8)) + sqrt(8) + -3*sqrt(200)).\nAnswer: -210*sqrt(11)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 1740*x**2 + 151380*x.\nAnswer: 5*x*(x - 174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(2\/(-57)). Suppose 46 = -l*q + 21*q. Let h(j) = -j**2 + 8*j**2 - 23*j + q*j. Let o(u) = -3*u. What is o(h(w))?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 8*o - 4*o. Let w(g) = -g**3 - 9*g**2 - 12*g + 2. Let p be w(o). Calculate the highest common divisor of 85 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5\/3, -2\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22670*f**5 + 44*f**2 + 49*f - 1.\nAnswer: -1360200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 5. Let t(o) = -3*o - 4. Let l be t(k). Solve 5*u = -l - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l + 7 - 7 - 3*l + 4*l - 3*l + (-5 + 1 + 2)*(-2*l - 1 + 1) + 5*l - 5*l + l - 3*l + 2*l + 4*l + 3 + 1 - 4 + 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 142 (b) -2\/7 (c) -6 (d) 1 (e) 4 (f) -0.52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 30 - 2. Let v = 19 - q. Factor -8*i**2 + 56*i + 5*i**3 + 38*i**2 - v*i.\nAnswer: 5*i*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306316 - 3359834\/11. Which is smaller: 877 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 5*d)*(-1 + 1 - 3)*(-4*d**4 + 3*d**4 + 0*d**4 + (4*d**2 - d**3 - 4*d**2)*(d + 2*d - 5*d)).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -215*r - 18515. What is h(-86)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose 2*g = -u + 85, o*u = 4*g + u - 179. Let j = g + -30. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47565131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * 0.03.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 380277\/(-2726)*4\/(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -0.1, -3\/7, 0.1 in descending order.\nAnswer: 5, 4, 0.1, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 0*r + 112*r**3 - 2 - 5*r**4 + 0 - 66*r**3 - 44*r**3 - 6*r**2 to the form k*r + t*r**3 + u*r**4 + b*r**2 + z and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q - 5. Let k be t(-2). Suppose -k*p + 159 + 111 = 0. Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801051 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: Suppose 0 = 3*i - 2*b + 606 + 176, 4*i + b = -1061. Let u = 264 + i. Let u + 2*j**4 + 12\/5*j - 14\/5*j**5 + 62\/5*j**2 + 74\/5*j**3 = 0. Calculate j.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 3\/200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 90 = 70. Let o = 87 - i. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - -205?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -4, -17, -3 in descending order.\nAnswer: 21, 5, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((-151)\/(-5436))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 505634645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03228269, 3\/5, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, 0.03228269, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18*c**3 + 94*c**2 - 19*c + 4. Let h be z(5). Solve 5*i - 9*i = -5*n - 23, -5*n = 3*i + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = -r, -i - 5*r + 1909 = 0. Is 52 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10124\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d - 97*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21874 divided by 43582?\nAnswer: -10937\/21791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -0*f, -t + 337 = -4*f. Suppose 38 = g + 98. Let w = t - g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.393530269 - -0.093529869. Let z = -22.3 - b. What is z rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6806580?\nAnswer: 2, 3, 5, 11, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5191745 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:04 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 22. Let a(y) = y + 1. Let m(r) = -2*a(r) + q(r). Let o be m(0). Suppose -4*k = -0*k - o. Solve b = j + 3*b + 1, -k*b = 4*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a - 4*w - 1300, -5*a + 3*w = 1601. Let r = a - -180. Let v = r + 150. Solve -3*c = -v*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and (-12305)\/(-860) + -5 + -9?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:46 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2860 (c) 0.3 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2 - 3 + 4*p + 6. Let q be f(7). What is the highest common divisor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 2065 = -2*m. Let h = m + -2953\/10. Which is the fourth smallest value? (a) -0.2 (b) -4\/3 (c) h (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3174 + 3189 + (1 - (0 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 1302*h - 1311*h + 123 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421017343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -682 * 0.0781\nAnswer: -53.2642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 106\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y + 5. Determine r(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 9*u**2 + 6*u - 1. Let y be f(-8). Solve 3*o + y = 8*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-186)\/217)\/(6\/(-112)). What is the highest common factor of d and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 4)*(o + 3*o - 5*o)*(0*o**2 + o**2 - 4*o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1) - (-76)\/(-2). Let c = 24 + j. Let y = c + 19. Solve -2*f + 5 = 3*d, 2*d - 4 = -2*f + y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 274, 610, 1070, 1648, 2338?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by -3*(5\/(-3) - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44411 - -13492?\nAnswer: -30919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 2. Let j be t(2). Suppose -b + 2 = j. Let h = -1 - b. Solve -3*p + 3*f + 3 = 0, -4 = 2*p - h*f - 2*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 12)*(-4*l + 4 - 4)*(-5592 + 5592 - 26*l**3).\nAnswer: 1768*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, and 2 n when four letters picked without replacement from nnddrrqdnrdnndnr?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/(sqrt(32) - sqrt(2)) + sqrt(49) - 4*(sqrt(49) - sqrt(784)))\/(2*sqrt(175)*-3))**2*-2.\nAnswer: -224\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 - 2*a**3 + 2*a**3)*(-4 + 6 - 1)*(-2 - 5 + 5).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21557)\/150899)\/((8\/84)\/(1\/33)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/44)\/(1 + -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = -0*q + 3*g, 2*q = -g + 9. Solve -9 = s - q*x, -4*s - 8 = -5*x + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 2917*v + 5575*v.\nAnswer: 2658*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335363 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/19334)\/((-1)\/(-2)). Let b = c - -48337\/2762. Calculate the common denominator of b and 109\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 64 - 58 + 4*s - 21*s + 5*s - 7*s**2 + 4*s. Let o(u) = 5*u**2 + 5*u - 4. What is 5*f(b) + 8*o(b)?\nAnswer: 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. 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: 217313+-6.88301\nAnswer: 217306.11699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1395*m**2 - 51*m - 528. Let j be l(-8). What is j rounded to the nearest 1000?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714015.\nAnswer: 3, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 2, p: 1, h: 5}. What is prob of picking 1 v, 1 x, and 1 h?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 3, m: 4}. Give prob of picking 1 l and 1 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 1. Let d be x(4). Suppose 3*r - 1 + 7 = 3*t, 0 = -3*r + 6. Find the second derivative of 4*h**d + 0*h + h - t*h wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*k*r**2 + 70*h*k*r - 52*h*r**2 - 262*h*r + 3*h - 28*k*r**2 + 3*r**2 wrt r.\nAnswer: -2*h*k - 104*h - 56*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14957*t**3 + 28*t**2 - 8 - 5 - 28*t**2 + 16.\nAnswer: -14957*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94\/33 - -24\/11. Let j = 37.2 + -37. Let z = -1 + 1.5. Which is the biggest value? (a) j (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 35 = z + 5*s, 3*z + 3*s + 12 = 0. Suppose z*f + 2*f + 30 = 0. Let m = f + 24. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -846*x**2. Let t(f) = 7*f**2 + 10*f - 40. Let p(i) = 8*i**2 + 11*i - 44. Let w(z) = -10*p(z) + 11*t(z). Determine y(w(r)).\nAnswer: -7614*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 402, 488, 574, 660, 746?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f = -60. Let m = 9 - 4. Suppose -3*l = 5*y - 36, 4*l - 5*l + m*y - 8 = 0. Calculate the remainder when f is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -19. Let c = 123.9 + -205. Let h = c - -81. Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(20\/4))\/1. Suppose -3*z + 18 = -3*j - 30, -14 = j - 3*z. Let g = 23 + j. Solve t = -3*b - 6 - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 15. Let v = 42.39 - 42.09. Which is the nearest to 2\/9? (a) u (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 11) in base 3?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 2. Let r(j) = 12*j**2 + 3*j - 1. Is r(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 61, 100, 161, 244, 349?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919 is divided by 60?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.25, 4\/27, 5, -6\/67?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/42 and 65\/231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/9 - 44*u**3\/9 - 80*u**2\/3 + 44*u\/9 + 242\/9 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 3*f + 24. Solve r + f = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389 divided by -3?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5510498 to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/416)\/(61\/(-122))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*i - 11291626*f**2 - 47970*f*i + 8*i wrt i?\nAnswer: 2*f**2 - 47970*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 869 and 237.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let g(m) = -m - 1369. Determine f(g(v)).\nAnswer: 2*v**2 + 5476*v + 3748322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 3*h - 16*h to b + d*h and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 786560367 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-285)\/171)\/(((-350)\/(-336))\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*6\/(-8) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (sqrt(2448) + sqrt(2448)*3 + -2 - (sqrt(2448) + (1 + sqrt(2448) - sqrt(2448)) + 4 + sqrt(2448))))**2.\nAnswer: -480*sqrt(17) + 9897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let t be 22\/(-55) - (-32)\/5. Suppose k*q - 6 - t = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(10)\/(-2*sqrt(2)) - (sqrt(300)\/sqrt(5))\/sqrt(12)) + (sqrt(3500)*-1)\/(-4*-1*sqrt(7)).\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*r + 4*r + 11, 2*r + 1 = -3*a. Suppose -45 = 2*b - r*b. Calculate the remainder when 34 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*j = -1, 0 = -4*h - 5*j + 42 - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 4*h - 8*h - 2*h. Let a(l) = -l + 10. Let z(t) = t + 1. Let b(x) = a(x) - 5*z(x). What is s(b(j))?\nAnswer: 18*j - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:21 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88840882 and -1193334.\nAnswer: 87647548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2177.536 milligrams?\nAnswer: 0.000002177536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/14 + ((-1)\/5)\/((-34)\/(-85)). Which is the fourth smallest value? (a) 15 (b) -2 (c) m (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2173956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5999.\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -188. Sort 0.4, -0.2, -0.1, n in ascending order.\nAnswer: n, -0.2, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j - 2. Let b be y(-3). Let r = 148 - 148. Let g(n) = 7*n**2 + n. Let h be g(r). Solve h = v - 4 - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*p - 15*p - 30*p)*(-p - 2*p + 2*p - 2*p + 2*p - 2*p + (2*p + 2*p - 2*p)*(-6 + 2 + 2)).\nAnswer: 728*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -16.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4*d + 2. Let w = -10 + 2. Let y = w + 13. Calculate the remainder when s(y) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 452*t - 7589. Give r(18).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*a - 19044, -a + 22217 = 3*l - 6349. Is 46 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.8 (b) 10 (c) 7\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 4. Suppose 0 = 2*f - 6*f - 28. Let k be n(f). Suppose -4*u - k = -38. What is the greatest common divisor of 49 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -15*p**4 - 376197*p**3 - 5189412*p**2 - 18800292*p - 19852272 = 0.\nAnswer: -25066, -44\/5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 10 - 2 - -15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*q - 2, 3*v + 14 = -5*q - 8. Let r = v - -7. Suppose 0 = -4*u - o + 15, -2 = 2*u + 3*o + r. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1426320 by 40.\nAnswer: 35658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i + 18. What is the least common multiple of 6 - 3*6\/(-9) and s(0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 - 7*c - 5*c + 14*c - 3*c - 11*c**2 in the form f*c**2 + j*c**3 + v + k*c + i*c**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/202617 or -1?\nAnswer: 29\/202617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*((3 - 1 - 1)*(0 + 2*v + 0) - 4849 - 9*v - 4847 + 9692) to p + m*v and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 3475, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*d**4 - 4010630*d**2 + 75466851*d + 1 wrt d.\nAnswer: 1956*d**2 - 8021260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1)*(-3)\/6. Suppose j + 2*m = -97, -110 = 2*j + 3*m + 88. Let o = j - -733\/7. What is the smallest value in q, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m**3 + 61*m**3 + 42*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11*i**4 + 1 - 7*i + i**3 + 6*i + i**2 to p + d*i**3 + j*i**2 + z*i + k*i**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -531 + 534. Differentiate 75*k**2 + z*k**3 + 58 + 5*k**3 - 2*k - 75*k**2 with respect to k.\nAnswer: 24*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -31. What is the tens digit of y\/9 + 26 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + 8*f + 26. Let r be 5 + (9 - 8 - 9). Let c be g(r). Let w = -31 + 70. Is w greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57514903 and 0.47.\nAnswer: -57514902.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = 14. Suppose -5*q + 2 = -5*h - 13, -3*q + 4 = 2*h. Sort q, 0, m in decreasing order.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 603\nAnswer: -16\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59b7a - 0?\nAnswer: 59b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i**2 + i. Let a be b(-3). Is a\/(-25) - 4\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2 (b) -8\/13 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 9139*n**2 - n + 7. Give z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 614775822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1645 + -995. Does 50 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**2 - d. Let i be s(-1). Let n(u) = -16*u - 11. Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiorrikaikirr. What is prob of picking 2 k and 1 a?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.6, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((351\/(-18))\/((-30)\/8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*g = -4726 - 3050 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzwh. Give prob of sequence zzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2105746564 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 - -364. Suppose 5*a + 18 = 3*a. Is a less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 != 199\/509889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.577 - -0.877. Put 5, x, -5, -3 in descending order.\nAnswer: 5, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548004 greater than 1548003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0) + (7 - 0). Let v(w) = w**3 - 6*w**2 + 3*w - 5. Let m(a) = 2*a**3 - 12*a**2 + 5*a - 9. Let j(q) = -4*m(q) + 7*v(q). Does 6 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5*-2*8\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*v**2 + 4*a**3*v - 3962*a**3 - 124567*a**2*v**2 + a**2*v wrt a.\nAnswer: 12*v**2 + 24*v - 23772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h + 1\/735*h**7 + 90*h**2 - 1\/42*h**6 + 0*h**3 + 0 + 2\/35*h**5 + 6\/7*h**4. Determine y, given that u(y) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10041, 40172, 90391, 160698, 251093, 361576?\nAnswer: 492147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p - 214*p = 117*p + 96*p + 10528 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136872 - -136872.1. Let q = 1\/6 - -1\/2. What is the closest to d in q, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*(-7 + 9) - 1. What is the second derivative of 3*p**3 - 2*p**4 - 264*p - o*p**3 + 311*p wrt p?\nAnswer: -24*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/66960 and 101\/100440.\nAnswer: 200880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 45 - 45. Let b = 45 - 40. Suppose -b*q + w = -2*q. Solve -l - 3*l + 3 = 3*k, -k = 3*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkrkrllr. Give prob of sequence krr.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -625*x**2 + 725*x - 95. Give y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42*-3*(-10)\/(-90)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 + 74494*t\/11 - 17836892\/11.\nAnswer: -2*(t - 37006)*(t - 241)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 62 - (-4 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2 + (-8)\/10. Put 0.1, 1\/6, f in decreasing order.\nAnswer: f, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohob when four letters picked without replacement from uhrauhobobbo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30668278*s**3 - 2*s + 18125534.\nAnswer: -184009668*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t - 2584 = 61*t - 205*t for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 + l + 1. Let c be n(2). Let a(q) be the first derivative of -q - q**2 + 5 + q**c + 2*q + 0*q - 2. Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 1960*v**2 + 82 - 40 - 1965*v**2 - 30 + 0*v. Let g(m) = -4*m**2 + 3*m + 11. Determine 4*g(z) - 3*p(z).\nAnswer: -z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqnqqqq. What is prob of picking 1 n and 3 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -77*r - 22. Let q(b) = -20*b - 6. Let j(a) = -3*n(a) + 11*q(a). Let t(s) = 23*s**2. Calculate t(j(k)).\nAnswer: 2783*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o + 6. Let v(x) = 3*x + 20. Let g be v(o). Suppose 4*m + 298 = 3*l, 4*l - g*m = 3*m + 396. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -822798637\/188 + 4376578. Let d = x + -1\/188. Calculate the common denominator of 31\/1 + 3 + -3 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4684 + -18685\/4. What is the common denominator of u and (1\/(-3))\/(18\/(-513))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -18144.\nAnswer: 5\/1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36407035 to the nearest integer?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24819, -24844, -24865, -24882, -24895?\nAnswer: -24904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35761308.6 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-41)\/(3\/28 - (-18)\/(-72)).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/10 - 2823*a**2\/10 - 927288*a\/5 + 98848026\/5 = 0.\nAnswer: -1458, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 14*m**3\/3 + 3. Let y(n) = 2*n**2. Calculate b(y(c)).\nAnswer: 56*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-1144)*(-7700)\/60.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x + 51. Calculate n(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 45. Let s be t(-14). What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 1, g: 2}. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {s: 5, v: 1, g: 3, b: 1, q: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*-3*1)\/(2*(sqrt(484) - sqrt(484)*-2 - sqrt(484)))*-4*3.\nAnswer: 18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 157 + 290 = -3*d, -t + 143 = -d. Is d bigger than -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(833)) + -4 + -2*sqrt(833) + -5)*2.\nAnswer: -112*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 6. Let q be z(6). Let d = -634 + 633.6. What is the third biggest value in q, d, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 20\/3*k**3 - 85*k - 1 + 335\/2*k**2. Factor n(v).\nAnswer: 5*(v + 17)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*x - 393*x - 373*x + 1074*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pofsdzdp. Give prob of sequence pz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.09345932, 38 in descending order.\nAnswer: 38, -0.09345932, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsqmzqzm. What is prob of picking 1 m and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -545, -913, -1343, -1853?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 2*n + 32 = 0. Calculate the greatest common factor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 4, h: 2}. What is prob of picking 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175014?\nAnswer: 2, 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -45\/23289131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -1.76, -0.1, 2\/9 in increasing order.\nAnswer: -1.76, -0.1, 2\/9, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)*(s\/s**(2\/5))\/s)\/((s**(6\/11)\/s)\/(s*s**(1\/4))))\/((s*((s*s**(2\/11))\/s)\/s)\/s**3*(s\/s**(-1\/3))\/(s\/s**(-2))) assuming s is positive.\nAnswer: s**(1663\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1072 + -a9?\nAnswer: -114b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/11 - (-2)\/11. Suppose -g + 5*t - 1 + 4 = 0, o*g + 48 = -4*t. Let h = 0 - g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and 99\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.062214 rounded to the nearest integer?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2. Let q = -25 - -24. Let m(s) = s. What is q*t(x) + 2*m(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e74 + -2425?\nAnswer: a4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**2 - 12887639*p + 89382218 with respect to p.\nAnswer: -6*p - 12887639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -28*t**2 + 27*t - 24. Let m(n) = 13*n**2 - 12*n + 11. Let q(d) = 6*b(d) + 13*m(d). Let g = -8 + 3. Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrq when three letters picked without replacement from {k: 2, r: 1, f: 3, i: 4, q: 1, w: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 80 + 62. Which is bigger: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.486 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z. Suppose -4*m + 3 = s - z*s, 0 = -s - 3*m. Let g = -8 - s. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 1 + 1. Let b(p) = p - 4. Let x be b(5). Let k(f) = x - 2*f - 3 + 2. Determine n(k(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 + 14019\/18. Let c = 488 + 315. Let q = c - n. What is the common denominator of q and -101\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 31 - 7. Let k = -9 + g. Is k\/6 + 78\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -90\/1987 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 62. What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:03 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53025 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 3. Find the third derivative of x**5 + 9*x**3 + 4*x**2 + 2*x**2 - 9*x**t wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132))\/sqrt(12) - ((sqrt(77) + (sqrt(77) - -1*sqrt(77)) + sqrt(77))\/sqrt(7))**2.\nAnswer: -176 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12 and 85\/522.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -464 * -12376.\nAnswer: 5742464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)\/(h*(h\/h**(-1\/5))\/h))**(-46) assuming h is positive.\nAnswer: h**(713\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 4874 in ascending order.\nAnswer: -5, 8, 4874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32241891 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5\/6*p**6 + 0*p + 0*p**5 - p**3 + 0*p**2 + 1 + 0*p**4. Find the third derivative of y(c) wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(((-8)\/120)\/(6\/(-10)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 8. Let y(f) = f + 9. Let o(w) = 5*u(w) + 6*y(w). Let b be o(-9). Let i(q) = 21424*q**3 - 3*q**2 - 2*q**2 - 7 - 21423*q**3. Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 2431 and 2432 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 7. Let l be n(9). Let z = -24 + l. What are the prime factors of 0\/(-1) - z\/((-1)\/103)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2 and -51\/5696.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 44 = -46. Let f = o - 6. Let j(r) = -2*r**3 - 3*r**2 + r - 2. Calculate the remainder when j(-3) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**4 + 30*o**4 + 3 + 2*o - 25*o**4 - 98*o**3 - o**2 + 6*o**3 in the form g*o**4 + w*o**3 + m*o**2 + p + t*o and give w.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216 + -192. Solve -4*g - 4*o = 0, -5*g + 5*o = 2*o - j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1976 and 117949884.\nAnswer: 4482095592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 40668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.728297 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708 and 2714?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 21, 33, 49, 69, 93?\n\"Answer: 2*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = -3*a - 32, 4*a - 5*c = -12. Let o(v) = -2*v**2 - 21*v - 13. Give o(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 14034?\nAnswer: 1\/4678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 52*s + 568. What is the remainder when 993 is divided by a(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 104?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 + 0 - 2)*((4 - 2 - 5)*(130 - 130 + 3*j) + 0 - 3*j + 0).\nAnswer: -48*j**3 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*((sqrt(720) - (4 + 1 + sqrt(720))) + 3 + sqrt(720)*2 + sqrt(720)) - 4*((sqrt(720) + 1)*5 + 1))*3)**2.\nAnswer: 102312*sqrt(5) + 5452081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 16*g - 9. Let o be j(-11). Let s = 449\/7 + o. Which is the closest to 1\/2? (a) 0.4 (b) s (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 282575172 + 2.\nAnswer: 282575174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 11*j + 1. Calculate b(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8254 is divided by 3995?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/3 - (-14)\/42. Suppose 0 = 4*b, -u*b = -4*g + 3*b + 508. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21227044 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(96\/(-60) - (-2)\/(-5)). Let r(b) = 0*b**2 + 3 + 5 + 0*b + 2*b - c*b**2 - 12. Let n(z) = 2*z**2 - 2*z + 3. Give 6*n(w) + 5*r(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.4, -5, 2\/211, -3?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:50 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-4 - -1) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 31*g**3 - 13*g**2 - 39*g + 659. Let r(t) = -15*t**3 + 6*t**2 + 18*t - 329. Let n(y) = -13*r(y) - 6*w(y). What is the first derivative of n(f) wrt f?\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/87 - (-21)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 12*p + 123. Let t(k) be the first derivative of 0*k + 0*k**p - 5 - k**4 - 2\/3*k**3. What is the third derivative of t(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 4*p - 2. Suppose 12 + 18 = 5*d. Let u(j) = 5*j + 6. Let h(s) = s**2 + 1. Let a(o) = -4*h(o) + u(o). What is d*k(q) + 5*a(q)?\nAnswer: -2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + (-3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 64 - 7*c - 10*c.\nAnswer: -17*c + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x + 51*x = 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8828)\/39726*-1*(-12)\/(-8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -16.8. Sort -1\/4, 5, s in ascending order.\nAnswer: -1\/4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040752254 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {p: 3, c: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmmzqzomomzmqwommmm. Give prob of sequence qwq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 5)*8\/6. Let u = d + 1. Let n(x) = x**2 - x - 1. Let a be n(u). Solve -4*r + 2*v + a = -5*r, 2*r = 2*v + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((-4761)\/(-391))\/(21\/14) - 16.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17131 is divided by 746?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 - l. Suppose 0 = -j + 5*q + 8, -7*j + 13 = -2*j + 2*q. What is the remainder when 24 + 1\/(-1)*j is divided by z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2520 divided by 554\nAnswer: -1260\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-170))\/(27\/12)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/20*((-14)\/4 + 6). Suppose o - 2 = -0*o, -s*k + 16 = 4*o. Solve 5*x = 2*l - 29, -l - 5*x = -k*l + 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 28*t**2 - 19*t + 4. Give f(13).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 2*c**2 + 2. Let b(i) = 50*i**3 + 35*i**2 + 35. Let t be 1224\/(-252) - 12\/(-14). Determine t*b(p) + 70*j(p).\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 25*p = 60. Find the common denominator of -87\/10 and (287\/1120)\/((-6)\/p).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Find the second derivative of 2*z - 10 + 2*z**h + 10 wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3263035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0651 + 0.0651014104. What is b rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -805974?\nAnswer: 12895584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**6\/900 + z**5\/75 - z**4\/12 - z**3 + 6*z + 28. Let h(n) be the third derivative of w(n). Factor h(v).\nAnswer: 2*(v - 1)*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6499, -6499, -6501, -6505, -6511?\n\"Answer: -u**2 + 3*u - 6501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3045619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1299\/4 (b) -2 (c) 0 (d) 2 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + -4 + 7 - 4) + 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 43*n**2 + 48*n - 181. Let r be q(44). What is the third biggest value in 1, r, 10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 1. Let z(d) = 9*d - 14. Let b be z(2). Let n(t) = 6 + b - 11. Calculate n(j) + q(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - o + 2*o to the form c + f*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -32*w + 118 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 17.9?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335191, 335191, 335181, 335155, 335107, 335031, 334921?\n\"Answer: -q**3 + q**2 + 4*q + 335187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((13 - 7)*752)\/2 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -2, 672, -7, -1 in decreasing order.\nAnswer: 672, -1, -2, -7, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7434)\/(-24) + (-1)\/(-4). Suppose 4*c = 5*z + g, -z - 2*z - 186 = 4*c. Is 16 a factor of (z\/(-3) - 3)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 9. Suppose -3 = -4*v + 5. Suppose 4 = v*r + 2*r. Solve 5 = -h + q*h + w, 0 = -4*h + w + r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f - 4*t = 6, t + 12 = 3*f. Suppose 0 = f*b - 5*s - 3, 2*b + 14 = -s - s. Let d(k) = 5*k + 2. Determine d(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1065?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.3118 and 244.2127.\nAnswer: 249.5245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10694638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 8*q - 8. Let t be m(-7). Let c be (t\/2 + -1)*2. Sort 0, c, -1 in ascending order.\nAnswer: c, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 - -282. Suppose 22*j - d*j = 20. Solve 3 = -j*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16\/m)\/m**(-15) assuming m is positive.\nAnswer: m**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - q**2 + 2*q**2 + (-3*q + q + q)*(-2*q + q + 0*q) + 6*q**2 - 6*q**2 - 19*q**2 - q**2 - 3 + 3.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**3 + 3*z**2 + 3*z - 4. What is the tens digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487934 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 2021?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*3\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 14, -49, -140?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 10*i - 3*k = -15, 3*i = -2*k + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)\/f)**(-7\/8)*(f\/(f*f**(-1)))\/f**6 assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.6487888764381 - 1087770.8687886164381. Let b = -1087762.7 - d. Let u = 0.52 - b. Round u to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -4?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/9 - 80*d**3\/3 + 1166*d**2\/9 - 616*d\/3 + 920\/9 = 0. What is d?\nAnswer: 1, 2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 5 - 5)*(8*u - 8*u + 16*u**3) - 73*u**4 - 14222*u**3 + 14222*u**3 to the form l*u**4 + i*u + j + z*u**2 + k*u**3 and give l.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + 0)\/(-9)*-3*1. Let y(m) be the first derivative of 6\/5*m**2 + 1 + 18\/5*m + 2\/15*m**p. Factor y(d).\nAnswer: 2*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 4*r**2 + 7*r + 1. Let p be w(5). Let t be (20\/15)\/(40\/150). Suppose 2*a = p - t. Solve a*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12673705.\nAnswer: 5, 11, 230431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 - 40025*b**4 + 400570*b**3 - 1442430*b**2 + 2163915*b - 1082025 = 0. What is b?\nAnswer: -8015, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 10040068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 6. Let v = -14 + 44. Let i = v - y. Which is bigger: i or -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Suppose 0 = -2*o - 3*l + 6, 3*l + 28 = 2*o + 10. Suppose h + 4*s + 12 = 0, -2*s - o = 2. Put 0.5, g, h in descending order.\nAnswer: h, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - -17 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/15 and -53\/28035?\nAnswer: 28035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 183 = r, -26*r - 4*s = -24*r + 54 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*w + 13, o - 2*w = 11 - 0. Let g be (3\/6)\/(21\/6). Let z = 5.5 - 6. Which is the closest to o? (a) 4 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - -2) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 w, and 1 z when three letters picked without replacement from {p: 2, z: 1, x: 1, t: 4, l: 3, w: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 16 (c) 0.5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2151.6 + 102844.325.\nAnswer: 104995.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 4 + 26 - 2406*d to c*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 1482399?\nAnswer: 1482393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbrkkkzkz. What is prob of picking 1 r and 2 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**(1\/4))\/c)**(-4\/11))**(-38))**(-2\/9))**(-12\/7) assuming c is positive.\nAnswer: c**(304\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**20)**(-20)\/((j**(-5)\/(j*j\/j**(-2\/9)))\/(j**(-2)*j**(-7))) assuming j is positive.\nAnswer: j**(-1216\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*11750.\nAnswer: -176250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15*n - 15. Let u(i) = 1. Let o(b) = t(b) + 15*u(b). Let p(l) = -3*l. Calculate p(o(k)).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/88 + (-14)\/(-770)*(-15)\/(-3). Is h <= -776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1192 - 18981\/16. Find the common denominator of 3621\/(-952) - (-8)\/(-14) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 + 12*d**3 - 7101*d + 2369*d + 2369*d + 2363*d.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28.63*-85\nAnswer: 2433.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 16*j**2 + 77*j - 10. Is i(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - y + 4*y - 4*y + 3 + y**2 - 3 + (2*y - 2*y - y**2)*(241 + 396 + 163).\nAnswer: -796*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:37 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6682585 is divided by 3341244?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away -0.166?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27275.3 and 1?\nAnswer: 27276.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -71346595096 minus 0.2655?\nAnswer: -71346595096.2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107566, -215139, -322712, -430285, -537858?\nAnswer: -645431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4504*q - 13500. What is y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16371)\/(-63) - 7)*-259. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-23)\/(-69))\/(2\/(-3)). Sort 3, 5, h, -2.\nAnswer: -2, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3736, 7470, 11204, 14938, 18672, 22406?\nAnswer: 26140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, -1\/3208, 4199 in ascending order.\nAnswer: -1\/3208, 0.5, 1, 4199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14717904.\nAnswer: 2, 3, 59, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1598571100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/386?\nAnswer: 9\/386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/10*11\/(-462)*-12. Suppose -2\/5*b**3 + 0 + 2\/5*b**2 - n*b**4 + 2\/5*b = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 1, -20\/9, -17\/39 in descending order.\nAnswer: 2, 1, -17\/39, -0.5, -20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*w + 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 - 675307672*p + 28502528241378724 = 0. What is p?\nAnswer: 84413459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-3) - 11)\/(4 + -3). Let x(s) be the third derivative of 1\/24*s**4 - 1\/60*s**5 + v*s**3 + 0 + 6*s**2 + 0*s. Factor x(a).\nAnswer: -(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/13 (b) 3\/5 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -18*m + 2. Suppose -6*h - h - 35 = 0. Let w(l) = -l - 1. Let k(j) = h*w(j) + o(j). What is the remainder when k(-2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1608 - 2.8392. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(68))*5 + -5 - 6*(-1 + sqrt(68) + 1 + sqrt(68) - sqrt(68))) + 1)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14208)\/1296 - (-3)\/(-81)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*-2*(-3)\/(-12) - -4. Let g be (21\/1701)\/(2\/v). What is the third smallest value in -0.1, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 12 = -2*i + 2*t, 5*t = 5*i - 45. Suppose 0 = i*y - y + 6. Let r(b) = 14*b**2 + 3*b. Is r(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - o - o**4)*(-5 - 5 + 4)*(1 + 1 - 4) in the form c*o**3 + k + a*o + h*o**4 + r*o**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-412)\/(-6))\/(4\/120*-2). Round n to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35678529 to the power of 1\/2, to the nearest integer?\nAnswer: 5973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607180 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + (-96)\/(-10). Let p = l - 7. Suppose -k - k + p = 3*w, 4*k + 3*w - 21 = 0. Calculate the lowest common multiple of 11 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(125))*6 + 1)**2.\nAnswer: 420*sqrt(5) + 4549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -86\/11 (b) -6\/5 (c) 0.1 (d) 5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + 1 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 945218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2811\/2 - 1378. Calculate the common denominator of (-486)\/80 + 8\/40 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -582522518 by 730894.\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 56. Suppose -39 = 4*s - 187. Let p = 46 - s. Let q(t) = -t + 14. Let v(w) = p*q(w) - 2*y(w). Find the first derivative of v(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**5\/60 - y**4\/4 - 5*y**3\/3 - y**2. What is the smallest common multiple of 8 and u(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314627 is divided by 431?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*u**2 - 42*u**2 - 40*u**2 - 45*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*n**2 + 1021*n**2 + 124*n**2.\nAnswer: 1277*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*n + 15. Let b(i) = -i**3 + i**2 - 9*i + 9. Let r be b(n). List the prime factors of r\/54*(-15)\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17700)\/(-1180)*(-2)\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*c**3 - 565*c**2 + 21864?\nAnswer: 24*c**2 - 1130*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 2*o - 3. Let c(t) = 5*t. Let u be c(-1). Suppose -8*r = -2*r + 18. Let j(x) = -9*x**2 - 3*x + 5. Give r*j(w) + u*m(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let f be ((-1)\/3)\/(t\/(-3)). List the prime factors of (0 - -12) + (f - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*r - 0*r. Suppose r - 20 = 4*k. Are -6 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 2. Let u(d) = -18*d - 6. Let t(v) = 7*h(v) - 2*u(v). Find the first derivative of t(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1845 divided by 41.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 797\/3, 4 in decreasing order.\nAnswer: 797\/3, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 2*sqrt(76) - sqrt(76))*3*1)\/((sqrt(192) + sqrt(192)*2)\/sqrt(12)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((648\/45)\/(-8))\/(((-45)\/(-25))\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.22131 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 453364883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6716667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5840, 2, 209, -5 in ascending order.\nAnswer: -5, -3, 2, 3, 209, 5840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16 + 32. Suppose b + 0*b = -o*z + 108, 2*z = 4*b - 486. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173690 and 15.\nAnswer: -2605350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 0, 130 = -3*l + b + 558. What is the greatest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 103. Let z(h) = -8*h + 283. Let q(j) = 33*t(j) + 12*z(j). Let g = -12 + 17. Give q(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/25*(-60)\/(-352)*-16\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/175)\/((-6)\/(-50)))\/(35\/(-1512)*-4)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6948*g + 3474*g + 3474*g - 8*g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((77 - 18) + -54)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/360 + 3*f**4\/4 - 4*f**2. Let q(d) be the second derivative of g(d). Let t(h) = -6*h**2. What is t(q(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 95846*z**2 - 7*z + 9*z - 2098*z**2 + 4. Let m be n(2). Round m to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18307031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, 679, 984, 1291, 1600, 1911, 2224?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -30. Let n be 2*-15*i\/(-4). Let c be 1 + 0 + -2 + 16. What is the greatest common divisor of n and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5442.4332722 from 0.1.\nAnswer: -5442.3332722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 4}. Give prob of sequence epp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:52 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -31*q**2 - q + 4. Let b(k) = 7*k**2 - 1. Let y(d) = 9*b(d) + 2*x(d). Let l be ((-4)\/(-2) + -8)*-1. Let s be y(l). Which is smaller: s or 24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175*5559298.\nAnswer: -972877150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23412 is divided by 136?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6*(-56)\/(-112))\/(1\/8148) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729913708 divided by 182478427.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c**2 + 3\/4*c**4 - 2*c**3 - 1 + 0*c. What is the third derivative of p(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 + 2*j - 1. Let l be b(1). Let o = -7 + l. Is 5\/7 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.014 + 21705711272.\nAnswer: 21705711272.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -2*b - 4*i, -5*i = 4*b + 99 - 339. What is the greatest common divisor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2231785cm in kilometers?\nAnswer: 0.000002231785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:11 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11080720 is divided by 4545?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 380434764 and -3.\nAnswer: -1141304292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7*x - 115. Let r be v(-15). Suppose -4*z = -3*j + 7727, r*j - 3*z - 12857 = -7*z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 177615.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -2*l**5\/15 + l**4\/8 + l**3\/6 + 6*l**2. Let q be r(6). Is (-1 - -2 - 2)*q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 - -1002?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (34\/340)\/(15*46\/(-414))\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2277614881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 2. Let o be z(-7). What is the remainder when 39 is divided by 1\/((-6)\/4)*o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 32 = 4*g, 2*g = t + 4*g - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 1, l: 1, z: 1, p: 1}. What is prob of sequence iizz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8791*j**2 - 1406*j**2 + 1112*j**2 + 4*j**3.\nAnswer: 4*j**3 - 9085*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 35479*l - 390254. Determine q(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/((-5)\/(-2) - 2). Let r be o\/(-14) - 4\/(-14). Suppose 0 = -y + 4*c - 3, -3*y + 5*c = -0 + 9. Put y, r, 0 in descending order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (286\/715)\/(30\/175)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 9, h - 4*m + 2*m - 8 = 0. Let c(w) = -w**2 + 19*w + 12. What is the smallest common multiple of h and c(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 20*t - 21854 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + k + 7, -2 + 11 = -2*m + 3*k. Let x = 11 + m. Let a = -4 - -2. What is the third smallest value in -3, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 - 3*g + 2. Calculate the remainder when j(-5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 5. Suppose 3*j = 24 - 12. Suppose -2*l + j = -4. Let v(i) = -6*i + 6. Calculate l*v(p) - 5*n(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/7 - (0 - 58\/14). Suppose c*f - f = 6*f. Let d be (-4 - -4)\/((-2)\/2). Solve d*p - p = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1066207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 31*d + 914. Calculate p(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)*a)**37*(a*a**(-1\/3))**(1\/18))\/(a**(-3\/8)*a\/a**(3\/2)*a)**(-4) assuming a is positive.\nAnswer: a**(1513\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/6)\/(-2))\/(194\/291).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-765)\/300*((-6)\/12)\/(2\/20)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:55 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 0*s**2 - 1\/6*s**6 - 21*s + 3\/2*s**5 - 10\/3*s**4 + 0 + 0*s**3. Determine z, given that v(z) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-770)\/33*1488\/(-20). Let f = x - 356. List the prime factors of f.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 21 = d. Let w(y) = 11*y - 17. Let p be w(d). What is the greatest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98912*t**2 - 100699*t**2 + 298531*t**2 - 98916*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**5\/7 - 261*g**4\/7 - 1482*g**3\/7 - 3492*g**2\/7 - 3336*g\/7 - 864\/7 = 0. Calculate g.\nAnswer: -9, -4, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2230 + 903 - o**3 - 478 + 2*o**3 in the form s*o**3 + b + j*o**2 + h*o and give b.\nAnswer: 2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 879654338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/7 + 613915*j\/7 = 0.\nAnswer: -613915, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-105*3\/30)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 5*p**2 + 4*p**2)*(-2 + 11 - 2) - 31*p**2 + 57*p**2 - 34*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -88948645\nAnswer: -2\/88948645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 570900366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 309. Suppose -f + 2*o + 108 = 0, -5*f + o + 602 - u = 0. What is the remainder when f is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/90 + (-7)\/35.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 86 - 116 = -44*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/31 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Suppose -4*v + 16 = 12. Suppose v + 3 = -4*i. What is the second smallest value in m, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*n**2*o*t - 15*j*n**2*t - 8*j*n*o + 2*j*n*t - 2*j*n - 2*n**2*o + 2*n**2*t wrt o?\nAnswer: -j*n**2*t - 8*j*n - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 2*v. Let r = -4 + v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 284 + 84 = 0. What is the greatest common divisor of p and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6300\/2800*(-4)\/(-10)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (-4 - 26 - (43 + -44)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6513 to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097596.\nAnswer: 2, 331, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzvezezkwzwjkwzwwz. Give prob of sequence wvwk.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*i**3 + i - i + 3*i**3 + (2*i**2 + 2*i**2 - i**2)*(0*i + 2*i + i).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 13*o**2 + 70*o + 36. Let t be x(-17). Let w be (2\/(-2) + t)\/(-33 + 30). What is the biggest value in 3, 1, -4, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 4155496.\nAnswer: -415549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) 541 (c) -3\/2 (d) 27 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, -3, 4\/161, 674\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + 7348 - 13849 + 8172 - 1 + 1 - 2 + (-4 + 0 + 3)*(0 - 4 + 6))*(-b - b + 4*b).\nAnswer: 3332*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5\/12*z**4 + 1\/20*z**5 + 3*z + 0*z**3 + 0 + 0*z**2. Find the third derivative of a(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y - 2. Let b be j(-2). Let u = b + 74. Solve 4*l = -u*h + 22, 4*l - 8*h + 3*h = -13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8967757 to the power of 1\/2, to the nearest integer?\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4 - 167000*q**3 + 1392277310*q**2 + 36283923000*q + 236029091805 = 0. Calculate q.\nAnswer: -13, 16713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/396 and 47\/61920.\nAnswer: 681120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2569*w + 33. Let z(q) = 4283*q - 56. Give 12*a(x) + 7*z(x).\nAnswer: -847*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -4*w - 20, -203*w + 202*w + 5*o = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -19*r. Suppose -3*h + h + 6 = r. Solve -h*x + 0 + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtgg. Give prob of picking 2 t and 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 3*p**2)*(-3*p**2 + 0*p**2 + 5*p**2) + 1476*p**4 + 701*p**4 - 314*p**4.\nAnswer: 1857*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 6 - 1) + 0 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(425)*6*-2 - 2*(3 + (sqrt(119)*-3)\/sqrt(7)).\nAnswer: -6 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.09 and -295.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -u + 14, 2*u = 114*p - 110*p - 20. Solve -2*n - 22 = -p*j, 5*n - 3*j = j - 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/((sqrt(108) - (sqrt(108)*-1 - sqrt(108)))\/sqrt(9) - sqrt(12)) + -1*sqrt(45)*-4 + 4*2*sqrt(45) + 3)*1)**2.\nAnswer: 225*sqrt(5) + 28161\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2388463*o - 4795393 wrt o?\nAnswer: 2388463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 22*y + 112. Let j be o(-5). Sort -5, j, 1 in decreasing order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, r: 2}. What is prob of sequence uuur?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aapppaaaaaaapp. Give prob of picking 1 p and 3 a.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 4*x - 5. Let q be j(2). Let f(o) = o**2 + 10*o + 4. What are the prime factors of f(q)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/5)\/b*b**(-5\/6))\/((b**(2\/11)\/b)\/(b*b**(-9\/5)*b*b)) assuming b is positive.\nAnswer: b**(589\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071.3309911 rounded to the nearest 10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 8 + -8 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 796, -6, -970 in increasing order.\nAnswer: -970, -6, 796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 987648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 + 4*m**2 - m - 2. Let b(y) = y**3 - y**2 + 1. Let l(k) = -3*b(k) - g(k). Is l(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8 = 2*x. Is 2 a factor of -6*(1\/x + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*2 + -1)*-6.\nAnswer: -48*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*c**3\/4 - 2396355*c**2\/4 + 368658*c - 56716 = 0.\nAnswer: 4\/13, 14179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.1. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 3. Let s(l) = 4*l - 4. Let p(y) = -5*d(y) + 4*s(y). Let z = -1 + -5. Give p(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 10. What is o(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*b - 5 + 5 + b**2.\nAnswer: b**2 + 574*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 12*v = -20*v - 767. Let b(c) = c**2 + 13*c - 26. What is b(v)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 3*p**2 - p - 3*p**3 - 5 + 0*p + 2*p**3. Let b be h(5). Let y = 92 + b. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*u - 10 = 0, -u = -5*v - 6 + 20. Let b(h) = -10*h + 1 + h + h**v + 6*h. Let j be b(4). Solve 2*n - j = 5*r, -r = -n + 2*r + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98772 minus -2191?\nAnswer: -96581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1224 (b) 3 (c) 0.02 (d) 2\/11 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 + 8 - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 23. Let t be r(-10). Suppose 3*h + 24 = -3*k + t*h, 2*k = -4*h + 4. Let g(z) = -z**2 - 6*z - 6. Let i be g(k). Sort i, -5, -1\/14.\nAnswer: -5, -1\/14, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/264 and -69\/16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -22216311*l**2 + 13*l + 3*l + 22216307*l**2 as s + p*l**2 + a*l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 1. Let u(p) = -p - 7. Calculate 2*c(b) - u(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.150467 grams to micrograms.\nAnswer: 5150467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 3. Let j(m) = -5*m + 6. Let i(h) = 4*j(h) - 9*u(h). Let t be i(-12). Suppose -t + 101 = 5*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 10*y - 5. Let q be b(-9). Suppose -j = -g - 2, -q*g = -j + 3*j + 8. Let i be (16\/g)\/((-2)\/4). Solve 4 = 4*k - 16, -2*k + i = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(108) + -4 + 2*sqrt(108) + sqrt(108))*1)**2*2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.49 + -25.49. Let m = j - -13. Let u be 10 - (-47)\/(2679\/(-532)). Which is the smallest value? (a) 2\/7 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 52?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3 = 4*u, -2912 = i + 5*u - 2918 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = -81*j - 302 - 182. Let p(k) = 7*k + 118. Determine p(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 18\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56728 and 2396.\nAnswer: 33980072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1976\/6055?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*a - 20, -627*j + 626*j - 34 = 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.1 in 48, 2\/3, -1\/16, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**21*y)*y**(-25)\/y assuming y is positive.\nAnswer: y**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341516059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000101111 (base 2) in base 14?\nAnswer: 19a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1332233?\nAnswer: 1332302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 11*h**5\/30 + 7*h**3\/3 + 10*h**2 + 15. Let m(f) be the second derivative of l(f). Differentiate m(d) wrt d.\nAnswer: 44*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 - 4*n - 1. Let y be g(3). Suppose 0 = 51*v - 48*v - 45. Solve -2*c + y*c = -v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-39))\/(418\/(-66)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29978672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**0*u*u*u))\/u)**44\/((u\/u**(-2\/5))\/u)**(-1\/30) assuming u is positive.\nAnswer: u**(-13199\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.117 - 0.383. What is the closest to 0 in -2\/23, s, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579998871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 413, 489, -2, 4 in ascending order.\nAnswer: -4, -2, 2, 4, 413, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 12. Let b = g + -18.12. What is b rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 148 = -148. Let t(j) be the second derivative of 2\/3*j**3 - 1\/2*j**4 - 5*j + o + 1\/10*j**5 + 0*j**2. Solve t(b) = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y. Let p(w) be the third derivative of w**4\/24 - 2*w**2 + 70*w. What is 40*p(b) - 5*s(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -385097\/2537 + 4823\/59. Let c = -70 - m. Let f = 43\/4 - 11. What is the second biggest value in c, f, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1131 = 15*m. Let j = m + -85. Solve -3*n**3 + 6*n + 5\/2*n**2 + j = 0.\nAnswer: -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a factor of 21425521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -5*z + 737. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40 and -16\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -5.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 + 4*j + 39. Let o be a(0). Calculate the remainder when 570 is divided by (o\/6)\/((-14)\/(-112)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:13 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*y - 4786, -3*f + 0*y + 4788 = -3*y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7510 and 5180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 162\/24*(-32)\/(-3). Suppose -n = -3*x + x. What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034313566 to six decimal places.\nAnswer: -0.003431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(4*y - 4*y - 2*y)*(-409 - 38*y + 60 + 37*y) to m*y**2 + r + o*y and give o.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - -84) + 12*-1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-17)\/(i**1)**(-45)*((i*i**(-6))\/(((i**(-2\/9)\/i)\/i*i)\/i))\/(i**(-2\/15)*i**(-5)) assuming i is positive.\nAnswer: i**(3661\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2 - 478. Let q(t) be the first derivative of 8*t**2 + 1. Determine s(q(f)).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = -8, -25 = -5*z + 4*d. Suppose 82 - 84 = -2*p. Let k be 0 - p - (-2 + z). Solve k*y = -3*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*14645176.\nAnswer: 7322588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/8085 and -24\/77.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 2. Let f be h(-4). Suppose 50 = 5*d + 4*m, -7*d + 4*m + f = -2*d. Solve -10*y + d*y - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.09 (c) 4 (d) -0.3 (e) -4 (f) 21 (g) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 + q**2)*(3*q**2 - 12*q**2 - 11*q**2)*(2 + 4 - 2)*(-2*q - q + 6*q + (-4*q + 4*q - q)*(-5 + 4 + 3)).\nAnswer: -80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14999 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 0.6126984 days in milliseconds?\nAnswer: 52937141.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/(48\/30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-45) + (152\/(-18))\/2. Let x(f) = 2*f + 4. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 + 454*y**3 - 2*y + y + 736*y**3.\nAnswer: 1190*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25*x + 3188. Give h(-127).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -112?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 * 2.42\nAnswer: -2.2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + j = -7215581, 5*b - j - 2*j - 18038954 = 0. Let g = -3012501183\/835 + b. Let s = g - -8\/167. Calculate the common denominator of s and 23\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 0*t + 5*t)*(t**2 + 3*t**2 + 0*t**2) + (4*t**2 - 2*t**2 - 4*t**2)*(4*t - 5*t + 0*t) + 5 - t**3 - 5 to p*t + l*t**2 + x*t**3 + r and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqiuijiji. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-1))\/l))**0\/(l\/(l\/l**(-4))*l**(-7))*((l*l\/(l\/(l\/l**(-2\/5)))*l)**(-16\/3))**(-9) assuming l is positive.\nAnswer: l**(871\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 3040*h - 90396.\nAnswer: -4*(h + 31)*(h + 729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*p = -13, 3*w - 3*p = -7*p + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*b**2*t**3 + 2*b*t**2 - 5*b*t - 15*t**3 - 374*t**2 - 5 wrt b.\nAnswer: -608*b*t**3 + 2*t**2 - 5*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 11 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + i - 1. Let m(x) = 122*x**2 - 6. Let n(j) = m(j) + 2*p(j). What is the hundreds digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 610615 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 20. Let q be f(16). Suppose -q*d - 4 = -16. Calculate the lowest common multiple of d and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3467431 - 5436688. Let z = -1969273.79919 - q. Let r = 16.8 + z. Round r to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.07 + -0.07. Let f = w + -4. Which is the second biggest value? (a) f (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270967746 to the nearest integer?\nAnswer: 35651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 10*s + 208. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**3 - 14*s**2 + 16*s - 5. Let y be p(3). Calculate the greatest common divisor of 1060 and y.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101220012 - -10?\nAnswer: 1101220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 891\/(-33) + (2 - (-4 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 1808*m**2 + 161384*m + 315520.\nAnswer: -2*(m - 986)*(m + 2)*(m + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 319?\nAnswer: -93\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000010110 + -100?\nAnswer: 110000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = z - 3, 4*z + f = 2 + 3. Let w = z - 6. Let q be 3 + ((-8)\/(-2))\/(-2). Sort -2, w, q.\nAnswer: w, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g - 21. Let p be a(-9). What is the greatest common divisor of p and 3808?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 1\/6*a**3 + 0*a**2 - 22*a + 0. Let w(s) = -16*s - 3. Determine w(j(f)).\nAnswer: -16*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 6*o = -6. Let j(m) = m**3 - 8*m**2 + 6*m + 15. Suppose 0 = -14*s + 98. Calculate the least common multiple of o and j(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2219288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -6 + 21. Suppose f = -w*f + 12. What is the nearest to 0 in -2\/9, -3\/2, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 35. Let s(b) = 3*b + 2 + b - 5*b. What is the remainder when u(-18) is divided by s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 20. Let s be f(-9). Suppose -31 - s = -2*d. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 319*p**4\/24 + 266*p**3\/3 + 354*p**2. Differentiate s(d) with respect to d.\nAnswer: 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 9 - 2*c + c + 24. Let x be t(6). Let a = x - -5. Solve 2*h = a*n, 3*n = n + 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + 0 - 1). What is the third smallest value in -2, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1058721744*u**3 - 2*u**2 + 69742062*u + 2 wrt u?\nAnswer: 6352330464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6) - (-8)\/12. Let x be (-4)\/(-8) + (-23)\/a. Let c = 155 - 166. Is x greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5\/5 + 88*j**4\/5 + 48*j**3 + 232*j**2\/5 + 76*j\/5 = 0. What is j?\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*b**2 - 237*b**2 - 243*b**2 - 256*b**2 + 1013*b**2.\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgg when four letters picked without replacement from {g: 4, p: 4, b: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1561, 0, 2 in ascending order.\nAnswer: 0, 2, 1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269 - 268.9999734. What is u rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 652.19 - 11.19. Let k = -545.4 + z. What is k rounded to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 15*d - 15. Suppose 13*k + 6 = d*k. Suppose -5*b + 2449 = -c - c, k*c = -5*b + 2439. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiyyiiiyimyyiiiii.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 933*x**2 + 8404*x\/3 + 1868.\nAnswer: -(x - 2802)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2069801748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.71392692 and 71.7.\nAnswer: 70.98607308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(630\/(-312)) + 1\/(33\/(-22))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55, -106, -157, -208, -259?\n\"Answer: -51*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5390538 and 9.\nAnswer: 16171614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112950 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 0)*(-2)\/4. Let r be (-4)\/6*y*-1. Is r less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s + 3. Suppose -16 + 4 = -s*g. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382135223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 4*h - 5*h. Let x be g(4). Suppose 4*k + 2*o = -o + 66, -o = x*k - 70. What is the least common multiple of k and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -4)**2 + sqrt(42)\/(sqrt(18)\/sqrt(3)) - (-1*sqrt(7) + 5)*3.\nAnswer: -20*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, 39, -44, 1\/221, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 127, 114, 101?\n\"Answer: -13*z + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {a: 16, s: 3, e: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:34 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 279. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1 + 2*r**2 + r + 3 - 5 - 3*r**2. Let l(s) = 9*s**2 - 11*s + 12. Let o(b) = 22*f(b) + 2*l(b). Let z(w) = -3*w**2 + 2. Give -4*o(d) + 5*z(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81510913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l + 3225 = -535. What is the remainder when 265 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 822.\nAnswer: 1\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -125, 20.2, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6016 + -3?\nAnswer: -6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104870865 + 92.\nAnswer: -104870773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, -10, -2\/3, 0.1, 3\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*f + 35, f + 44 = 4*f + 4*p. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - h - 18 = -19, 0 = -g + 3*h + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 14*i**2 + 12*i + 21. Let v be a(13). Suppose 5*j - 11 = 9. Solve -j*p + v = 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211020102021 (base 3) to base 16\nAnswer: -ec9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6106 is divided by 1874?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/24 - 29*j**3\/36 - 3*j**2\/2 + 97*j. Factor a(u).\nAnswer: -(u + 9)*(3*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 13 = -3*x + 4*z, 3*x = z + 86. Suppose 2839 = x*d - 496. What is the remainder when d is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, 4, -3, -8, -175, 5 in increasing order.\nAnswer: -175, -27, -8, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2750.2 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 193\/15 - (17\/(-15) + 1). What is the highest common factor of m and 1053?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -72. What is the units digit of x\/(-3 - -4)*(0 + 349)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a + 12. Let r(u) = u + 1. Let h(y) = -p(y) + 5*r(y). Let q be h(-3). Let o(f) be the first derivative of f**2\/2 - f + 1. Give o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + g = -2, 5*c + 7*g = 2*g - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 1. Let u(s) = -2*s**3 + 8121 + 3*s**3 - 8125 + 4*s**2 - 4*s. Let h = -7 - -11. Calculate h*c(a) - u(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1889.\nAnswer: -5\/1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27928827 divided by -13833?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 595 = 5*g, 4*g + 244 = 6*g - 5*a. Suppose 0 = -11*b + g - 29. Suppose r - 6*l + 4*l - 12 = 0, 2*r + 4*l = -b. Solve -h - 25 = r*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 329 = 1441. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11198668 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b5887 - 1?\nAnswer: -35b5888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112875 is divided by 112087.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 2014665.\nAnswer: -2\/402933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**6\/1200 + 21*l**5\/200 - 441*l**4\/80 + 3087*l**3\/20 - l**2 + 7. Solve c(j) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 8*v - 4*b + 2*b, -20308 = 5*b - 20273 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 + 17*u + 9. Let w be x(6). Which is the nearest to w? (a) 3 (b) 2\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by ((-8)\/14)\/(8\/(-28)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*b**3 + 13*b**2 - 15*b**2 - 660*b**6 + 663*b**6 + 106*b**2 wrt b?\nAnswer: 360*b**3 + 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 33973564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 2263?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 2*3\/(-6). Suppose -2*m + 2*j = 4, -4*j - g = 3*m - 2*j. Is (m + 78\/4)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*f - 274895 + 877783 = 18*f. Is 68 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + j**2 - 2. Let c(s) = 21*s**3 + 7*s**2 - 13*s - 12. Suppose -4*d + 3*d = -2*f + 3, -18 = -4*f - 2*d. Let m(u) = f*r(u) - c(u). Factor m(y).\nAnswer: -(y - 1)*(3*y + 2)*(5*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226423\/115962 - -1\/5522. Let b = a + 5\/3. Which is greater: 3.6 or b?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2459397 is divided by 52316.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (8 - 11) - (-2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 90 - 132 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2000, 3991, 5968, 7925, 9856, 11755, 13616?\nAnswer: 15433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/12 + (-35)\/(-100). Let s be (3*1\/3)\/1. Which is the nearest to s? (a) -1\/2 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7121204 is divided by 705.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1585728893\/2232 + 710452. Find the common denominator of j and 83\/868.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 32.002939.\nAnswer: -12.8011756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 3. Let j be x(-3). Let c = j + -15. Suppose 49 = 3*q - 5*m, 4*q + c*q - 80 = 3*m. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/((-576)\/(-8)) + (-20306)\/(-8).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2323 divided by 15.\nAnswer: 2323\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 447866776 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/54 + (-38)\/(-9). Suppose -s + 130 = j*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -306.99999897. Round p to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000492 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 239?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -8, 2*k - 3*d = 2*d + 28. Let v be (-2 + 2)*(-3 + 4). Solve 0 = -v*f + k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 2*n - 84 = 0. Suppose 7922 = n*c - 19427. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5676 is divided by 247?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 13 = -4*c + 3*s, -4*c - s = 8. Does -2\/37 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7152 (b) 0.5 (c) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 86?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-16 + (5 - -41))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/28)\/(0 - -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 20 + 15. Calculate the least common multiple of 35 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/24 + 5*v**2. Suppose -2*h - 5 = -3*k + 2, 4*k = -4*h - 4. Let a(i) = i - 95 + 95. Give h*c(p) + a(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 23\/8 of a milligram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/17 + 150*x**3\/17 + 148*x**2\/17 = 0.\nAnswer: -74, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1\/3, -0.1, 0.2, 20\/9, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 - 3*h**3 - 2*h**2 + h - 1. Calculate the remainder when i(10) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2756536*r + 2755427*r in the form n + c*r and give c.\nAnswer: -1109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45 - 26 - (3 - 1). Let a(m) = 2*m + 10. Calculate the remainder when 219 is divided by a(y).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738634785 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 10 in increasing order.\nAnswer: -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 383 - 3*b + 385 - 768. Let y(u) = 8*u**2 + 201*u. What is k(y(x))?\nAnswer: -24*x**2 - 603*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16824271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*f = -70*f + 15. Let c be 0*(27\/6)\/9 + f. Let z(p) = p + 16. Let a(i) = i + 11. Calculate c*z(w) - 7*a(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699674 is divided by 174871.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 38. Let b = 62 - 67. Calculate the least common multiple of t(b) and 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1003\nAnswer: 3\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7315)\/14 + (-3)\/(-3). Let t = -479 - o. Calculate the common denominator of t and 41\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 40581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/67 + -267\/1273. Let v = -719755\/233016 - -752\/219. Let h = v - -4\/133. Which is the second smallest value? (a) l (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 2 + 0 + -3. Let t(r) = -r**3 - 19*r**h + 11*r**2 + 5 - r**2 + r + 0. What is t(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:18 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1)\/(20\/15). Suppose 8*r - k*r + 31 = c, -4*r - 36 = 2*c. Let v = r - -208. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85358393 to the power of 1\/2, to the nearest integer?\nAnswer: 9239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401 - 8390.19034.\nAnswer: -8791.19034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 + (-1 - 1 - -2). What is the greatest common factor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 + 6762379*h**2\/4 - 45729769739641*h\/8.\nAnswer: -h*(h - 6762379)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + 103. What is the greatest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 + 201*f**3 - 39177*f**2\/2 - 123012*f - 187272.\nAnswer: -(f - 204)**2*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -562 - -10?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21379521, 21379527, 21379533, 21379539?\n\"Answer: 6*p + 21379515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000673 rounded to 6 dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*k = -168*k - 72. Calculate the least common multiple of k and 7\/(-14) - 41\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -52777*p - 52. Let g be u(1). Let z = 86829 + g. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*g - 6, -4*g + 3*g = h - 1. Let r(j) = -2 + 529*j - 267*j - 265*j. Let w(x) = -x. Give h*r(u) + 5*w(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(720\/(-24))*(-2)\/40*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 6) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 226 = 4*h - a, -5*h = -3*a - 255. Suppose -4*t - 5*c = 42, -3*t + h = -7*t + c. Let i = t + 33. Calculate the highest common divisor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -3719.\nAnswer: -3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 14\/12)\/1. Let f be -1*2\/(-16)*1. What is the closest to 1 in f, -0.5, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*52)\/(-2*5\/(-60)). Suppose 4*v = 20, -4*m + 62*v = 63*v - 785. What is the highest common divisor of g and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*x - 661, -4*r - 1316 = -5*x + 279. Let m = 321 - x. Which is the closest to 1? (a) 2 (b) 5\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 304. Suppose -j + 139 = -a + 8, 4*j + a = 499. Let q = u - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.77565 hours to microseconds.\nAnswer: 179192340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osih when four letters picked without replacement from oohdhiks?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564233399 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 110 = 2*f - 3*y, -2*f = 4*y - 122. Calculate the remainder when f is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20039074*u**2 - 86604280?\nAnswer: -40078148*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*i + 28 = 0, 4*x - 163 = -2*i - 27. Let n(q) = q**3 + q**2 - 3*q - 3. Let c be n(-2). What is the remainder when x is divided by (-13)\/c + 2 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 11. Let c(w) = w - 5. Suppose -u = 4*q - 23, -2*u = 3*u + 3*q - 47. Give u*c(r) - 3*f(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*t = 125, -100 = -4*m - 5*t + 9. Solve m*w - 7*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102003 (base 6) to base 4.\nAnswer: -2000103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136425892?\nAnswer: 2, 421, 81013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20 = -5*p. What is the remainder when 8 - (p + -1 - -3) is divided by ((-2)\/(-6))\/((-5)\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480.2 + 480.1999964451. What is k rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15246 + -4751. Let t = u + 13915. Let c be t\/8 + (-2)\/(-8). Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3486 and -1\/415?\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 34*z + 476. Let q be i(-14). Solve 5*p + 0 = -5*k + 5, -3*k - p + 5 = q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 18 = 3*s, -5*j - 3*s = -10*j + 42. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 683025 (base 9) to base 11\nAnswer: 25a311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -9. Let s = d - -31. Let q be (-4)\/(-2) - (-1 - 0). Solve -4*k - q*f - s = 0, 2 + 8 = -3*k - 2*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) - (-285)\/(-152)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.513.\nAnswer: 2.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 12) in base 11?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)\/(2 - 1). Suppose -4*p = -y + 22 - 5, 5*p + 25 = c. What is the units digit of 12 + (y + 2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906676 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(3*sqrt(4) - sqrt(4)) - 1*sqrt(637).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**31*z*z**(3\/5)*(z\/(z*z**(-16)))\/(z\/z**(-39)))**2 assuming z is positive.\nAnswer: z**(-514\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2015*u = 1352*u - 4641 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014785147659 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v + 4. Let y(g) = -4*g - 3. Let n be y(-2). Suppose n*i = 4*q - 61 + 21, 5 = -3*q - 5*i. Put v, -4, q in ascending order.\nAnswer: -4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (-3 + 1*(sqrt(704) - (sqrt(704)*2 + sqrt(704))) - (-2*sqrt(704)*-6 + sqrt(704) + sqrt(704)*1 + sqrt(704) + -2)) + 2))**2 + -4.\nAnswer: 544*sqrt(11) + 203456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(110) - 1*sqrt(110))*4)\/((sqrt(320)*-4 + sqrt(20))\/(sqrt(32)\/sqrt(4) - sqrt(2)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6409 - 6323 = 12*a + 2*z, 4*z = a - 28 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1848)\/35)\/((-6)\/20). Let n be 2\/11 - 252\/g. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 715 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-33))\/((13\/51)\/13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2048 and 1198016.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179606893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 3, y: 5, m: 2}. What is prob of sequence omy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2494726*k**2. Let h(w) = 29*w**2. Determine h(m(t)).\nAnswer: 180486076637204*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110 and -135?\nAnswer: -14850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462 is divided by 677.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.3. Which is the nearest to 0.2? (a) -5 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/x**(-3\/11)*(x**(-3)\/x)**(-3) assuming x is positive.\nAnswer: x**(69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 37. Let v(u) = -u**2 + 23*u - 194. Let h(x) = 4*r(x) + v(x). What is h(21)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2958965km in micrometers?\nAnswer: 295896500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2537 - 875. Suppose -c = -13*m - 10476. What is m rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, h: 4, m: 3, v: 7}. What is prob of sequence hhmv?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177311 = -876*v - 249*v + 34436 for v.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c**2 + 21*c - 19. Calculate h(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129 a factor of 177573767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 8. Let b = y - -8. Let o be 4\/6 - 8\/(-6). Solve -q + z = b*z - o, q + 3*z = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3)\/(3\/2). Let u = y - -5. Factor 2*c**2 + 2*c**4 + 4*c - 4*c - 4*c**2 - c**5 + c**u.\nAnswer: -c**2*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 40 = -0*i - 44, -4*i = 3*p - p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1, -1125 in descending order.\nAnswer: -2\/11, -1, -1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.4 + 6.5. Which is the closest to p? (a) 1 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 4. What is u(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -768 - -5?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + 127?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 11, -2, 2 in ascending order.\nAnswer: -4, -2, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2089713 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((900\/(-16))\/5)\/((-61)\/(-9760)*40)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*s - 1807 = 709*s - 9167 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2*j**3 + 30*i**2 - 3*i*j**3 - 3*i*j**2 + 59891*j**3 + 3 wrt j?\nAnswer: -18*i**2 - 18*i + 359346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 214 and 52.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -189*m + 92*m + 6 + 96*m. Determine z(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 49 = -37 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6279793\/3122370 + 4\/34693. Find the common denominator of r and 167\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*m**2 - 4*m**4 + 50*m**2 + (-3*m**2 + m**2 + 0*m**2)*(m**2 + 0*m**2 + 0*m**2) + 2*m - 2*m - m**4 - 2*m**4 + 2*m**4 + m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + z + 0 + 2 = 0, 0 = -3*o + 2*z + 10. Suppose o*c + 115 = 11*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10*(7 - 12). Let j(s) = s**3 - 2*s**2 - 5*s - 2. Let u be (-2)\/(((-4)\/8)\/1). Let q be j(u). Solve -12 = r - 3*a, q = -i*r + 3*a - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/1348 (b) -11 (c) -2\/3 (d) -0.1 (e) -99 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 11*a**2 - 9*a + 5. What is x(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2391\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5159*n**4 - 1293*n**2*r - 18271950*r with respect to n.\nAnswer: 20636*n**3 - 2586*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.018 - 5.018. Let n = -105 + 737\/7. Put 5, n, x in descending order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060.247 weeks in days?\nAnswer: 35421.729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22972926.\nAnswer: 2, 3, 3828821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000111010001 (base 2) in base 5?\nAnswer: -2424041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 26. Suppose b*a = 9*a - 5. Let n(i) = 2 + 9*i - 2 + 1. Let k(m) = 14*m + 2. Calculate a*k(c) + 8*n(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79\/3 - 238\/9*l - 1\/9*l**2.\nAnswer: -(l + 1)*(l + 237)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122.9 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126713?\nAnswer: 3, 1375571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 2*q - 2840 + 2815, -5*f + 25 = 5*q for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27999052448 take away -27?\nAnswer: -27999052421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 337 = -37. Solve -5*l + 4*w - 8 = p, 2*l + 8 = -w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = 1652 - 1322 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816165.\nAnswer: 5, 13, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 25. Suppose 14*z - 69 + h = 0. Solve -4*g = 4, -o + 4*g - 2 + z = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(704) + sqrt(704) + 1 + sqrt(704))**2.\nAnswer: 96*sqrt(11) + 12676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {d: 1, u: 1, z: 1, w: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -1\/66 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18395221?\nAnswer: 13, 61, 23197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 157.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 6\/17 (b) -5 (c) 307.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -7 + (8 - 4). Solve 5 = -4*c - a*g, 5 = -4*c + 2*c - 5*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696219 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -70 (c) 3.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**2 + 5. Let v be k(2). Suppose -21 - 159 = -4*n. What is the greatest common factor of n and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 584. Let b = -705 - h. Let w = -207.9786 - b. Round w to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664187 is divided by 664049.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15447\/172 + 25923617\/285348. Let i = 72\/79 + z. Calculate the common denominator of 36\/49 and i.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147157092 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 165*q. Let r(d) = 5*d. What is z(r(l))?\nAnswer: 825*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - d. Suppose -3 = -6*v + 3. Let l be w(v). Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5173795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from qqvavqanevvqnnnq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 (base 12) in base 4?\nAnswer: -21013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 8) to base 3.\nAnswer: -101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-7) - (-12)\/(-42). Let n be (-2)\/(-6)*(1 + 20). Let l be ((-4)\/14)\/((-4)\/n). Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**3 - 3*q + 3*q)*(3 - q - 3) - 131*q**4 + 63*q**4 - 119*q**4 to the form r*q + l*q**3 + v + b*q**2 + t*q**4 and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 10:36 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 2*c**2 - c**2 + 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -756 - -533. Let s = -226 - r. Let v = -5\/2 + 13\/6. Which is the smallest value? (a) s (b) v (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**0)\/x*x)**25)**27 assuming x is positive.\nAnswer: x**675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -582 (b) 2 (c) 0.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -46*s + 50*s. What is the nearest to s in 0.5, 2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 7}. Give prob of sequence ddgd.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105312034 + -3?\nAnswer: -105312040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 812, -8, -5 in decreasing order.\nAnswer: 812, 11, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/792)\/((-1)\/(-12))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 2*c**5 - c**5 + (-3*c + 0 + 0)*(c**4 - 4*c**4 + 2*c**4) - c**5 - 2*c**5 + 5*c**5.\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17343379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.5662774667 - -254808.0962644667. Let g = k + -254803.53. Let b = -18 - g. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 11*t**2 - 14*t + 26. Determine i(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -1, 3*t - 45 = -2*s + 186. Let b = s - 110. Solve -b*n + 5*p = -26, 6*n - 8 = 3*n - 2*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -378, -565, -752, -939, -1126?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -k - 152, -3*k + 44 = 3*b - 70. Solve -b = -3*s - 50 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1458) + 1*sqrt(1458) + sqrt(1458) + 0.\nAnswer: 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 57\/15)*-5. Solve -p + z = 0, 4*p - 16 = -4*t - 0*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -6e0?\nAnswer: -6e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m**4 - 4*m**4 + 4*m**4)*(3*m - 4*m + 3*m) + (-m + m + m**4)*(-2*m + 0 + 0) + 0*m**5 + 3*m**5 - 5*m**5.\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 17. Let x = u - 35. Suppose -3*j = -s - 74, -5*j + x*s + 123 = -2*s. Calculate the remainder when j is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -4 (c) 23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w = 2*i - 8, -i = -w - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34642914 is divided by 821.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3700772?\nAnswer: 2, 925193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 + 8 = 3*n, -9 = -3*t - 4*n. Is 43\/27 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - 33210668?\nAnswer: -33210700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 22?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)\/t*t**(-8))**15 assuming t is positive.\nAnswer: t**(-1515\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 236?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + z**3 + 8 + 2*z**3 - z**2)*(z + z - 4*z) in the form x*z**3 + l*z**4 + k*z + y*z**2 + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/276)\/((-59)\/236).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*y - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 258*b + 2. Let j(n) = -28*n**2. Determine j(f(s)).\nAnswer: -1863792*s**2 - 28896*s - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1136*z - 1136*z - 237*z**2 + z**2 - 2*z**2 + 3*z**2 + (-2 - 3 + 11)*(-3*z**2 + 3*z**2 - 2*z**2) in the form p*z + a*z**2 + m and give a.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-46)\/(-120) + (-510)\/3825)\/(2 - 30\/24). Let w = -4700\/11 - -427. Which is the closest to -2? (a) w (b) -0.2 (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 584*q**2. Let n(h) = -505*h. Determine w(n(f)).\nAnswer: 148934600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-10)\/6 - 2. Sort -5, -3, s in decreasing order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 421\/2 - 211. What is the nearest to -2 in 0.4, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1 - 20*f + 1. Let u = -10 + 9. What is the remainder when 38 is divided by s(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*c + 365*c + 60521 + 27287 = -536*c for c.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let v = -2\/1105 + -7291\/1105. Let n = v + 37\/5. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 2 t when four letters picked without replacement from {x: 1, s: 1, t: 2, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 2*y. Suppose 20*o - 2*o - 288 = y. What is the smallest common multiple of 14 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**5 - 52*k**4 + 40*k**3.\nAnswer: 4*k**3*(k - 2)*(4*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*x = -444*x - 336. Let j(f) = 4 + 9 - 1 - f. Let y be j(x). Solve y*t + 3*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328723081?\nAnswer: 328723081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d + 18001 = 171*d - 319. Calculate the remainder when 2159 is divided by d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let h be j(-6). Put -4, 3, 5, h in increasing order.\nAnswer: h, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 9. Let a(c) = -12*c - 32. Let y(l) = l + 3. Let u(j) = 3*a(j) + 32*y(j). Does 5 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.24272mm in kilometers?\nAnswer: 0.00004224272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 46, 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 294*s**2 - s + 3. What is the hundreds digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14786, -29076, -43368, -57662?\n\"Answer: -h**2 - 14287*h - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05783868 - 1695.5921\nAnswer: -1695.64993868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - 7*q**2 - 2*q - 18. Does 3 divide b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1423193nm to kilometers.\nAnswer: 0.0000000000001423193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 - 5)\/((-6)\/(-3)). Let u(o) = 5*o**2 + 9*o - 67. What is the remainder when u(5) is divided by (-135)\/25*(1 - c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/180 + c**5\/120 - c**4\/24 + 5*c**3\/3 + 3*c. Let a(r) be the second derivative of d(r). What is a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -40. Suppose -5*h + g*z = -265, 3*z + 142 = 4*h - 67. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1 - (-6)\/3. Suppose -2*y + 27 = 2*z + 3*y, 0 = v*z - y - 21. Does 6 divide 6\/(3\/(1*z))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - ((-9)\/(-45) + (-4984)\/(-455))) + 6\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-8 - 4) + 95\/(-8) and -41\/226?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -27. Solve q - b = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -15*v**2 + 531*v - 210 = 0?\nAnswer: 2\/5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*t, -4*r - 17 = -3*t + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -4.3 (c) -0.2 (d) 1 (e) 51.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(15*1 + -7 + 4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 254232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 13. Suppose -4*l + 5 = y, 4*l - 5*y + 23 + 2 = 0. Let i be h(l). Let w(q) = q**2 - 13 + i. Let a(d) = -2*d. Determine a(w(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36480 + 36475.5442. Let f = 0.0742 - t. What is f rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2 - 53141*n - 20800 wrt n?\nAnswer: 2*n - 53141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1274651 = -31*i + 3860870 + 4348388. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from ccszzececzczzeec.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -462, -0.2 in descending order.\nAnswer: 5, -0.2, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0764 - 0.1365. Let h = y - -0.0684. What is h rounded to four decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33\/4 - 8. Let f = -1.4 + -1.1. Let l = f + 2.5. Which is the fourth biggest value? (a) -6 (b) 2 (c) l (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -391, -374, -349?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 - -14212. Does 241 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -175504733436\nAnswer: -175504733441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. What is the remainder when 27 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1802 = 10*u - 1118. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24301 - -24310. What is the highest common divisor of 25956 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 - 5*j**3\/3 + 2*j - 2. Calculate w(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2011\/30 - 67. Put z, 3, 0.1, 5 in increasing order.\nAnswer: z, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.011 + 3.089. Let l = 6.1 - s. Let k = -21 - -35. Which is the second biggest value? (a) k (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c**2)*(-9*c + 15*c + 1 - 17*c).\nAnswer: 22*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -o + 674, 670 = -d + 3*o - 0*o. Let r = -69627\/103 - d. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 466 - 2*y + 3*y**3 + 0*y**3.\nAnswer: 3*y**3 - 2*y + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067730 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 24*q + 24. Suppose -i = 2*k + 46, k - 4*i = -3*i - 20. Let r be p(k). What is the closest to 0 in 0, -0.4, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712936926 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 103. Solve y*o = -o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/(-33))\/((-1)\/18). Let a(u) = 6*u**2 - 4. Let d(t) = t**2 - 2. Let h(r) = i*d(r) + 3*a(r). Let y(s) = -39*s**2. Give y(h(j)).\nAnswer: -5616*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:30 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - a - 74. Let c be z(0). Let p = -25 - c. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -0.13.\nAnswer: -7.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1000*g**2. Let j(v) = 20*v**2 + 833*v. Calculate j(z(f)).\nAnswer: 20000000*f**4 - 833000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -5 + sqrt(1700)*-2)**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2360 = 12*w - 2*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3990 and 789450.\nAnswer: 5526150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*s - 2, -172 = -3*s - 166 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {d: 9, s: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 1, c: 1, d: 3, z: 1}. What is prob of picking 1 z, 2 e, and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52750999.\nAnswer: 7, 113, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.014, 0, 0.5, -3\/5, 2\/5 in increasing order.\nAnswer: -3\/5, -0.014, 0, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.3 (c) -32 (d) 3.7 (e) -2\/9 (f) -5 (g) 48\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdx when four letters picked without replacement from {d: 4, x: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by -3.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/434 and -47\/785106.\nAnswer: 785106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770.5784 centuries to years.\nAnswer: 77057.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141656722, 141656720, 141656716, 141656710, 141656702?\n\"Answer: -j**2 + j + 141656722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-20)*(-19)\/(798\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055368.94 rounded to the nearest 1000?\nAnswer: -2055000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -1557, -3513, -6253?\nAnswer: -9777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 10*b**2 - b - 13. Let q be u(-10). Let o(c) = c**2 - c + 1. Determine o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 0, -5*u = c + 3*c - 18. Let s be (-1 + c)\/((-2)\/(-6)). Suppose 2*z - 40 = -s*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23703761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 162891 and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 190, 1532, 5178, 12280, 23990, 41460, 65842?\n\"Answer: 192*n**3 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 5. Suppose -54 = 2*f - 8*f. Let l(o) = -2*o + 11. Determine f*q(g) - 4*l(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -600*c**3*l**3 + 727*c*l**3 wrt c.\nAnswer: -3600*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 + 2, -y = -j + 33709. What is j rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3705713204 divided by -4\nAnswer: 926428301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000497872 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 21212?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let w = -21 - -19. Let f be 50\/(-15) + w\/(-6). Put 2, f, j in decreasing order.\nAnswer: 2, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-6) - (-705)\/890 and -3\/20?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.05101 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2 - 2)*(1 - 11 + 1)*(1475 + 511 + 2412 - 884 + 1099).\nAnswer: 83034*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + 25, 3*h + 5*z = 35. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - n - 23144 = 0. Suppose 31*t + n = 42*t. What are the prime factors of t?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - (-133)\/(-14))*2504. What is the greatest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x - 292. Let r(n) = -n - 50. Let c(p) = -o(p) + 6*r(p). Let a(v) = -v - 1. Determine 6*a(h) - c(h).\nAnswer: -14*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n - 29*n - 11*n - 25 + 0*n.\nAnswer: -58*n - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 1, 3, -0.17, -1, 18, -18?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m**2. Let t(w) = -31*w + 15*w + 13*w. Give t(a(f)).\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/1102681 (c) -11.7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r**5 + 574*r**4\/3 + 676*r**3\/3 + 108*r**2 + 46*r\/3 - 2\/3 = 0 for r.\nAnswer: -1, -1\/3, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r - 8. Suppose -7*b = -6*b - 5. Suppose -3*f = -2*t - 21, b*f + 4*t - 12 = 1. Sort 0, f, r.\nAnswer: r, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 317848047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3875 + -3866. Solve -q*s + 2 = -16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.2 (c) 0.4 (d) -0.1 (e) 0.077 (f) 8146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**8\/2520 + u**7\/420 - u**6\/180 + u**5\/180 - u**3\/3 + 2*u**2. Let l(s) be the first derivative of f(s). Factor l(a).\nAnswer: -2*a*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 27. Let t = -4 - i. Solve -1 = -3*m + 2*j - j, -t*j = -3*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -11*n + 5351 - 5323 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73\/114 + 1\/38. Let u = -2 - 0. What is the second biggest value in -2\/3, u, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11646058 rounded to the nearest 10000?\nAnswer: 11650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 2\/3*v**4 + v**2 + 3*v - 5\/3*v**3 + 0. Suppose m(p) = 0. Calculate p.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-12) + -4)\/(3\/(-552)). Let l = f - 416. What is the highest common divisor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 5*c - 5. Let b(n) = -9*n**3 - 107*n**2 + 6*n - 52. Let w be b(-12). Let k(s) = s + 1. What is w*k(o) + 4*u(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50555.05 - 0.04.\nAnswer: -50555.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 53*g - 2. Let j(m) = 903*m**2. Calculate f(j(t)).\nAnswer: 47859*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 20 = 3*s, -s = -w + 4. Solve 2*j + 2*j - w*r = -8, -3*r = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -132, -136, -150, -180, -232, -312, -426, -580?\n\"Answer: -b**3 + b**2 - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n**4 - 7*n + 0*n**3 - 24*n**4 + 2*n**3 as r + z*n**4 + h*n**3 + l*n + i*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/10 + 19*u**4\/24 - 10*u**2 - 42. Let y(b) be the second derivative of w(b). What is the second derivative of y(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 115\/4, 0.3, -6, -25, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12339*d*r**3 - 213624*d - 3*r**3 - 3*r**2 - 3 wrt r.\nAnswer: -37017*d*r**2 - 9*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 6 = -9*o. Suppose -o*p = 3*m - 162, -5*p = 2*m - m - 67. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 17 = 0. Suppose h = 3*b - 28. Calculate the highest common divisor of b and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 6*i + 22*i - 2*i + 4*i + i + (-3 - 2 + 10)*(i + 0*i - 2*i))*(2 - 2 - 2*i**3)*(-3*i + 3*i + 2*i).\nAnswer: -84*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0127 - 0.0126518. What is p rounded to 6 dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-98)*14\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 5*m - 7. Suppose 3*u + 7 = -4*k, 2*u = -k - 0*k + 2. Calculate s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20136 is divided by 5031?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3356350?\nAnswer: 2, 5, 19, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.71 - -1.11. Let o be (-9)\/15*(-2)\/(-6). Which is the nearest to -1\/2? (a) l (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120190 = -17*a + 343474 + 124893. What are the prime factors of a?\nAnswer: 3, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o + o)*(0 + 2*o + 0)*(-4*o - o**2 + 4*o).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -41*k + 732. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*f*l**3*v**2 - 8*f*l**3*v + 545*f*v**2 + 2*v**2 wrt l?\nAnswer: 210*f*l**2*v**2 - 24*f*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19254347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**8\/1440 - m**7\/1008 - m**6\/120 - 7*m**5\/60 - 14*m**2. Let h(s) be the third derivative of f(s). Does 22 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0 + (2 - 2 + 2)*(-5 + 5 + 1))*(9*k + k + 6*k) + (0*k + 3*k - 5*k)*(-4 + 0 + 5) to q + t*k and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 4}. What is prob of sequence muu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7558, 5811, 4064, 2317?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 309664 less than or equal to -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -7*p**5\/5 + 28*p**3\/3 + 94. Find the third derivative of o(y) wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2953757*t**2 - 4642759.\nAnswer: -5907514*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/21 - (-2)\/7. Let f = 5 - c. Let t(d) = 206*d - 4. Let r be t(f). What is r rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/5 - 13652*d**4\/5 - 16360*d**3 + 54620*d**2 + 409250*d + 341000 = 0.\nAnswer: -6820, -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 75 = 2*h. Let t be h*(-1 - (-2)\/5). Solve 0 = 5*q - 0*y + 5*y - 15, 0 = -q + t*y - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Suppose -3*b = 15, 2*t + 3*b + 16 = 5. Differentiate -i + 4*z**2 + 15 - t*z**2 + z**2 with respect to z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 - 7*o**5 + 0*o**5 + (-3*o**3 + o**3 - o**3)*(2*o**2 - 2*o + 2*o) + 771*o**5 + o - 7 + 3 + o**2 - 764*o**5.\nAnswer: -3*o**5 + o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25402*n*o**3 - n*o**2 + 1728*n*o + 2*n - o**3 - 3*o wrt o.\nAnswer: -152412*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655*q + 112 = -641*q. Solve -4 = -q*c + 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 230*q**2 + 55652*q - 110376 = 0. What is q?\nAnswer: -378, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 23*v + 102 in the form t*v + b and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**2 + 231 - 410*j - 123 - 108 + 410*j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 6*n**2 + 9*n - 4. Suppose 4*r + 43 = 5*u, 4*r - 7*r = u - 1. Calculate d(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046573 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + -249. What is the remainder when 169 is divided by y\/10 + 0 - (-186)\/10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 0.33.\nAnswer: 0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000117475496 to six decimal places.\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5178*i + 5181*i + 473 - 473.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1 = -6*t - 4, m - 3*t = -370 + 369 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011000 (base 2) in base 12?\nAnswer: -5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**3 + 10*q**2 + 18*q - 27. Calculate u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -201092 divided by 4\nAnswer: -50273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17066 + 2566 = -4*r + 2*u, r + 4922 = -3*u. Round r to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.6 + -10.4. Are r and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/7)*n*n**(-5\/6) assuming n is positive.\nAnswer: n**(43\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Let o(w) be the first derivative of 27*w**2\/2 - 148. Calculate c(o(s)).\nAnswer: 1458*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -0.0922, -3, 3, -5\/6 in descending order.\nAnswer: 4, 3, 0, -0.0922, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqhhqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h)*(-5*h**2 - h + h).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 10*n = 0. Solve n*a - 4 = 2*a, 2*s - a = 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -383 (b) 32 (c) 0 (d) 330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 12*n**2 - 9*n + 27. Let u be f(-11). Suppose -5*m - a + 61 = 0, -2*m - 3*a = -u*m + 33. Solve -4*q - 8 = -4*o + m, -20 = -4*o - 2*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Solve -4*f + 6 = -5*s, -f - b*f + 2*s + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -46.3. Let c = 19\/5 + -18\/5. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**4 - 12*m**4 + 0*m**4)*(-3 - 1 + 3) to the form g + r*m**4 + n*m**2 + u*m**3 + y*m and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/56406 and 145\/18.\nAnswer: 169218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 209 = 167. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 125.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 8 = 0. Suppose 2*m - 32 = t*o, 2*m - 2*o - o = 35. Let v = -4 + m. Is v less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l**2 - 3*l. Let t be z(-2). Suppose 0 = -t*b - 2*b + 12. Solve -5*q = -4*k - 26, k + 9 + 1 = b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8968 and 22.\nAnswer: 98648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x*x\/(x\/((x**(1\/2)*x)\/x)))*x**(-1\/2))\/(x**0\/(x**6\/x))*((x**0)**(-9\/2))**(-4) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhveqkhekhqvhqkq. What is prob of picking 2 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106717*h + 50372*h + 56349*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -13, -18, -23, -28?\n\"Answer: -5*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 30 - 78 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {m: 6, w: 1, j: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 17. What is v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + -2)*5 - (0 + sqrt(1377) + 2))**2 - (sqrt(17) + sqrt(119)\/(1*sqrt(7)) + -2*(sqrt(1377) - sqrt(17)))) + 4.\nAnswer: -850*sqrt(17) + 22180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55971040 and 1600.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1 - -3) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 258321 or 258323?\nAnswer: 258323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -588 and -2355\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*f**2 - 100*f**2 - 97*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 3. Let g = -145 - -149. Suppose -5*d = g*i - 0*i + 35, i - 4 = 3*d. What is the closest to k in -0.5, -1, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*x - 15 + 58 = x, x + 85 = 8*x - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -845 - -10980\/13. Which is the third biggest value? (a) -0.06 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 13621?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 677213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/15425208 and 49\/2856520?\nAnswer: 77126040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703839 to the power of 1\/2, to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Suppose y = -4*t - 19 + 3. Sort -3\/2, 0.5, t in descending order.\nAnswer: 0.5, -3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 25*f + 106. Give y(28).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002692434 rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65770?\nAnswer: 2, 5, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-15 - (-10 + 15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 39*c - 161. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1*o**(-10))\/(o**(2\/5)*o)**(4\/23) assuming o is positive.\nAnswer: o**(-948\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 814237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49476 - 495479\/10. Let k = 72 + o. Put k, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 32 + 1029*i - 1026*i.\nAnswer: 3*i + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ftt?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24837 or -24839?\nAnswer: -24839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -188, -427, -762, -1193, -1720?\n\"Answer: -48*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4369*b**2 + 166*b - 1. Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -38*r. Let j(f) = -24*f - 22. Give x(j(y)).\nAnswer: 912*y + 836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 35\/3*h**3 + 22 + 5\/4*h**4 + 0*h + 15*h**2. Solve a(r) = 0 for r.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/(c**(3\/2)\/c)*(((c*c**(-1\/3)\/c)\/c)\/c*c)\/(c\/c**(1\/6))*c*c*c\/c**4*(c\/(c*c**(-1\/5)\/c))\/c*c*c*c*c**(1\/4)*c*c\/c**(4\/7) assuming c is positive.\nAnswer: c**(929\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2414230300 (base 5) in base 12?\nAnswer: -1a6aab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) + -5 + 188\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 2\/5 (c) 25 (d) -0.0278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5383 + 5377. Put -3, r, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4\/(-8)*4). Suppose -5*n + o*n = 3*c - 11, -3*n = 5*c + 3. Let r(b) = 4*b - n*b - 6*b. Let z(j) = j. Give r(z(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.30979 days in hours?\nAnswer: 175.43496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -23937?\nAnswer: 23946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 354 = -116 + 171 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 441 + -441.0296. Round y to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1502, -1.5, 1\/2?\nAnswer: 1502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4661545 months in years?\nAnswer: 0.205512875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/70 - 11259\/106335.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258641281.6 rounded to the nearest 100000?\nAnswer: 258600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/13 in 5, -4, 0, -3, 1\/4, 0.00634?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - 41. Let s = p - -160. Solve i + 4*d + 2 = s*d, -2 = i - 3*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/(((-4)\/176)\/(120\/(-96))). Put 0, -3, -20, x in increasing order.\nAnswer: x, -20, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -507*d**4 - 367224*d**3 - 112956*d**2 - 8688*d = 0.\nAnswer: -724, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1192 = -2*u + 18*u, 4*n - 16 = 0. Are u and -303\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-2)\/(-1304)). Let q = f + 2286\/7. Let c = -3.89 + -0.11. What is the nearest to -0.1 in q, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.038596 and 0.4?\nAnswer: 0.361404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3327 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 172*p**3 - 10*p**2 + 12*p + 23. Let h be d(3). What is the greatest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -3*g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**0)\/l)**(-14))**9)**(1\/5) assuming l is positive.\nAnswer: l**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/(-28))\/((-6)\/4 + 1). Suppose 5*r = 4*w - 22319975, -w = -b*r + r - 5579990. Round w to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 403531442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1121.356 nanometers?\nAnswer: 0.001121356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = n - 0 - 2, -s - 10 = -5*n. Let p(g) = 30 + g + s*g - 33. Let b(m) = 61*m + 66. Let u be b(-1). Determine p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(2\/7))\/j)\/j)**(-2\/45)*j\/j**(-2\/7)*j**2*j assuming j is positive.\nAnswer: j**(1346\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 22 = -n, 3*u - 17 = 4*n + 8*u. Suppose -2*y - 2*y + 3*m = -740, n*y + m = 370. Suppose 4*j - y = -j. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j - 5 + 5. Let g(z) be the third derivative of 1\/12*z**5 - 5*z**2 + j*z**4 + 0*z + 0 + 0*z**3. Let x(t) = -3*t**2. What is x(g(h))?\nAnswer: -75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 + 16. What is the common denominator of v and -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15910256 or 15910254?\nAnswer: 15910256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99937 is divided by 14020?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 52 + -23 - 3\/((-54)\/(-170))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 10:18 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -76, -107, -122, -115, -80, -11?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 10. Let b be ((-10)\/(-25))\/(14\/(-10)). What is the nearest to f in -0.1, -1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102005 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12)\/(2\/72). Let z = r + 39. Suppose -1 = 5*x - z. Calculate the highest common factor of x and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -29, 5, 15794 in decreasing order.\nAnswer: 15794, 5, 4, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = 2*n. Let s = 0.6 + -4.3. Let g = -0.3 + s. Which is the third smallest value? (a) n (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -3*g**4\/8 + 17*g**3\/6 - 77*g**2 - g - 12. What is w(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**5 + 3*g**4 - 11*g. Let x(k) = -29*k + 19*k - 3*k**5 + 4*k**4 + 0*k**5. Let j(l) = 4*o(l) - 3*x(l). Find the second derivative of j(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(u + 2*u + 0*u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldw when four letters picked without replacement from lkdllwwlldddlmllll?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -233 - 56. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 130. Let k be g(19). Suppose 2*x + 4*v = 76, -k*x - 16*v = -12*v - 116. Calculate the remainder when 77 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**5 - 3*k**5 + 3*k**5)*(-4 + 2 + 3)*(159 + 249 + 386 + 188).\nAnswer: 982*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(((-108)\/40)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -23. Let p = 0.2 - 0. Is p greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -277*w. Let u(f) = -32*f**2 + 16*f**2 + 18*f**2 + 9*f**2. Calculate u(c(q)).\nAnswer: 844019*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32100320132 (base 4) to base 3.\nAnswer: -21000222011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*((-7)\/((-14)\/4))\/(-2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 363377.87 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3229 + 274521\/45206. Find the common denominator of y and 81\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013718 + -536.153718. Round u to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.16 - -0.0665777.\nAnswer: 5.2265777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -326*f**2\/7 + 879224*f\/7 - 5394\/7.\nAnswer: -2*(f - 2697)*(163*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -36. Let t be i - (-3 + 7 + -1). What is the highest common factor of t and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 2. Let k(v) = 3*v - 3. Let l(w) = 4*c(w) + 3*k(w). Let g(b) = 4*b - 11. Let i(o) = -g(o) + 3*l(o). What are the prime factors of i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 6.8. Let k = 7.17 + -2.17. What is the biggest value in 1\/3, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/6 - 37*f**3\/6 + 2*f - 1329. Let i(s) = 0. Calculate s.\nAnswer: -37\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100111000011011 (base 2) in base 10?\nAnswer: -85531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -1274\/43?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 113*p**2 + 234*p - 427. What is b(115)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.2 + -1.8. Let g = 11 + h. Let t = g - 3.0032. Round t to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1132291, 2264589, 3396887, 4529185, 5661483, 6793781?\n\"Answer: 1132298*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*g + 88. Let l(t) = 4*t + 1. Let f be l(-1). Let o = f + g. Solve u = -3*h - o, 0*u - 8 = 2*h + 5*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/72 and -64\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17367148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20750*m**3 - m + m + 16926*m**3.\nAnswer: -3824*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-44) + (0 - (-1 + -2808)). What is the tens digit of 8 + (-7)\/((-28)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256976677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5 = -4*p, -2*k + 3*k - 2 = -p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 15. Suppose 3*f - g*i - 48 = -0*i, -5*i = -3*f + 46. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -8 + 24 + 108?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f - 3*n, -3*f + n - 2*n = 1. Let k be f + 3 + 693\/(-225). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -100, -185, -310, -487, -728, -1045?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239455 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58876915 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -806 > -8\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.1 - 23.099356. Round c to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = 0, -4*y - 31940 = 5*s - 31981 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1562\/3749 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156 - 308 + 152 - 1542*p + 6*p to m + i*p and give i.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/5 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.4 (b) 3935 (c) -1\/251 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - ((-4)\/(-8) + (-29649)\/6). Suppose 3*w - 2 = v - 1000, -5*v - w = -a. Suppose -3*h - v = 4861. Round h to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:34 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102330 (base 10) to base 8.\nAnswer: -307672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/3767705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(180) - (1 + sqrt(180) + -3 - sqrt(180)) - (-2 + sqrt(180) + -1)) - ((sqrt(10)\/sqrt(2)*-3 - ((sqrt(5) - 2*sqrt(5)) + -5 + sqrt(5))) + -3))**2.\nAnswer: 138*sqrt(5) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/27)\/1 - 12\/54. Suppose 4*b - 5*b + 3*h + 16 = m, -2*b + h = -22. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -s - 14, -s = -2*s + 5*y - 22. Sort s, -3, 0, -4 in ascending order.\nAnswer: -4, -3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.15703km in micrometers?\nAnswer: 45157030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + -4 + (sqrt(1216) + 2 - sqrt(1216))**2 + ((2 + sqrt(171) + -2 - sqrt(171))**2 - (sqrt(171) + (-2 + sqrt(171) - sqrt(171))**2 + 2 + sqrt(171))).\nAnswer: -6*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*2 - sqrt(32))\/(-1*sqrt(48)\/(-1*sqrt(12)))*5.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6, c: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/5)*k**(1\/9)\/k)\/(k*k**(1\/3)\/k*k)**4)\/((k*k**2*k*k**(-3\/5)\/k)\/(k**1)**(-23)) assuming k is positive.\nAnswer: k**(-1351\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 1241029.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 48*h**2 - 41*h + 394. Let s be (1\/2)\/(((-990)\/2156)\/45). What is l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -18, -5 in descending order.\nAnswer: 5, -5, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21624, -43020, -64416?\nAnswer: -85812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -428?\nAnswer: 1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Suppose -s - y*s = -8. Let r(o) = 3*o**2 + 1 + 3*o + 3*o**s - 2*o**2 - 3*o**2. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227588 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/((-384)\/80) - 29\/18. Solve -10\/9*j**3 + 2\/9*j - 2\/3*j**2 + 0 + 2\/3*j**4 + u*j**5 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-56)*(-4)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*f + 7 = 0, 0*r + 5*f + 10 = -2*r. Let u = 1667 + -1673. Which is the closest to 0? (a) r (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702*n**3 + 3281*n - 90137*n**3 - 3281*n.\nAnswer: -88435*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 20874385.2 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 + 2.82. Sort 2, f, -4 in descending order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7 - -8. Let d = -137 - -138. Let n be (-4)\/(-6)*6\/4. Which is the closest to n? (a) d (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/24*-2 - 440\/(-240). Let w(c) be the first derivative of 2*c - c**4 + j*c**2 + 0*c**3 - 2 - 2\/5*c**5. Determine l so that w(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a9 (base 12) in base 2?\nAnswer: 1101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117*w + 154*w - 235*w)*(-2 + w - 1 + 0 + (-6*w + 4*w + w)*(0 + 2 + 0)) to the form c + b*w + n*w**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 166337203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20.1792 from -2.\nAnswer: -22.1792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 3, q: 3, v: 4, z: 6}. Give prob of sequence qzz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -3 - 1) + -2 + -5 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2048 and 256.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11020001 (base 3) to base 13\nAnswer: 152b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, h: 7}. What is prob of picking 1 k and 2 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*g + 33, 0 = -4*g + g + 3*k + 27. Calculate the smallest common multiple of g and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from fuuttut?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 65*v + 16. Let x be b(20). Let o = -313 - x. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 96. Suppose u = a - t, a - 3*a - 5*t + 17 = 0. Suppose -3*c - 2*p = -4, 3*c - 5*p - 8 = a*c. Solve 5*i + c*y + 30 = 0, -5*i + 17 = -5*y + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + -5. Let g = w - -177. Let c = g + 165. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {a: 1, l: 2, b: 5, x: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.901 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/38329 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, u: 2}. What is prob of picking 2 l?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:25 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.12 + -7.98. What is u rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70016 divided by -72\nAnswer: -8752\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 + 6070*y**3\/9 - 682762*y**2 + 230999346*y - 459273036.\nAnswer: -2*(y - 1011)**3*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 386*a**3*r**3 + a**3 + a*r**3 + 27*a*r**2 wrt a.\nAnswer: 2316*a*r**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -225\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.2, 4, -1, 3252, -3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-8)\/(-4))*15\/12. Let x(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - o**2 - 450*o. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 6 + 4 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6970379 is divided by 281?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.748 * 0.1\nAnswer: 0.2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11208)\/(-30) + 24\/60. What is the highest common factor of z and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 z when four letters picked without replacement from ezddddzddeed?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -53. Find the third derivative of 0*j + 0*j + q*j**3 + 1261*j**2 - 1311*j**2 wrt j.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 3705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -7*g**4\/2 - 11*g**3\/3 + 131*g**2\/2 - 34. Let d(h) be the second derivative of n(h). Differentiate d(i) with respect to i.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 31. Let n = -213 - -215. Calculate the lowest common multiple of u and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3829085 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -7. Let t be (-5 - n)\/(0 - 2). Suppose 0*b + b - 2*w = 12, -3*b - 2*w + 36 = t. 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: Let j be 9\/3 + (-375)\/141. Let z = j - 302\/611. Let w = 2 - -8. What is the second smallest value in w, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1465 + -1675. Which is greater: -216 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25821, 25819, 25817, 25815, 25813, 25811?\n\"Answer: -2*x + 25823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89142939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243855366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*j - 6 = -59*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58078.062 - -58020. Let w = v + 58. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1215 (base 9) to base 3.\nAnswer: -1020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-2\/21)*m)\/((m\/((m*m*m**(-14))\/m)*m*m)\/m*m) assuming m is positive.\nAnswer: m**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35272126 - -3?\nAnswer: -35272123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 15, 5, 3 in ascending order.\nAnswer: -2, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6675389.\nAnswer: 7, 227, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -1.7. Let v = -0.116 + -9.824. Let i = v - -10. Which is the third biggest value? (a) q (b) 1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*s - 148*s - 90 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 14874 - 14906 = -2*c, 2*c + 5*z = 41 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 10*u - 29)*(-32*u**2 + 41*u**2 - 21*u**2) + (2*u**2 - 4*u**2 + 0*u**2)*(-2 - 4*u + 2).\nAnswer: -112*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/8))**(-3\/5))**19)**(-19) assuming j is positive.\nAnswer: j**(-3249\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1003*j**2 + 287*j**2 - 458*j**2)*(4*j + j + 3*j).\nAnswer: -9392*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-12)\/45*(-1865)\/(-5968).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 8. Let b = s - 8.92. Let c = b + -0.28. What is the third smallest value in c, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 19, 1, 1\/12, -2\/9?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65927, -263707, -593341, -1054829, -1648171?\n\"Answer: -65927*p**2 + p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5*x - 26*m**4*x + 1393*m**3*x + 2*m**2*x - m*x + 61017*x wrt m.\nAnswer: 120*m**2*x - 624*m*x + 8358*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3285 - -578?\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-6)\/32) - -2. Let q be 192\/(-231) - 4\/j. Let f be (-4*(-20)\/1100)\/((-6)\/15). Which is the closest to 0? (a) f (b) q (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (1771\/21 + 1)\/(2\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63.9*0.02\nAnswer: 1.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5767844*n**3*z - 22696*n**2*z + 6*n*z wrt n.\nAnswer: -34607064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*z + p + 13, 3*z + 18 = -p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7395 + 7441 = 23*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:39 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.664 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*k - 223 + 223 + (-k + 0*k - k)*(20 - 17 + 38) in the form i*k + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11865 and 1323232260?\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -28.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Suppose -5*o - 9 = -x - x, 0 = 2*x + 2*o - j. Factor -t**2 + 2*t**2 + 3*t**4 - 3*t**x - t**2.\nAnswer: 3*t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2472 + 1561 + 1228 + 5*g + (-1 + 3 + 0)*(-g + 5*g - 3*g))*(-2*g**3 + g**3 + 3*g**3) + 2*g**4 + 2*g**4 - 3*g**4.\nAnswer: 15*g**4 + 634*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -397 + 398. Which is greater: o or 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 + 491 = 11*y + 39*y. Solve 2*r - y = -3*o, -5*r - 2*o + 3 = -15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6279 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35891\/5239353 + 13\/2157. Let u = -140888\/7287 - m. What is the common denominator of u and 101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 7. Let j = 1 - q. Let g be ((-3)\/(-45))\/(2\/(-5)). Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let d be (-1)\/x + (-5)\/(-10). Let t be -1 + d - (-31 + 0). What is the highest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/54648 and 149\/959244.\nAnswer: 397127016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458258 = 144*j + 464882 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 0 + 1 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((20\/6)\/((-2)\/(-3))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 189?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.34943913 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhthtyhhthhxghhhgxh. Give prob of sequence yx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83752 and 6264?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 99 = -0*i. Let v(a) = a**3 - 9*a**2 - 24*a + 17. Calculate v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2662 - 5550 + 2888 + 859*f.\nAnswer: 859*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4423 - -4425. Solve 67 - 65 = s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 2*i**2 + 11*i - 19. Let l be o(2). Suppose 3*c - 6 = 0, -3*j = -8*j - 4*c + 33. Sort 4, j, l in decreasing order.\nAnswer: j, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 10*u**2 + 22*u - 29. Let d be j(-12). Let c be d\/(5\/(-8)) - 2. Calculate the highest common factor of 66 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -1\/18*t**4 + 0*t**2 - 1\/15*t**5 + 0 + 10*t - 1\/45*t**6 + 0*t**3. Let o(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2399*f**2 - 199*f + 1054*f**2 + 1106*f**2 + 199*f.\nAnswer: -239*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {k: 2, e: 4, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13379145 divided by -1.\nAnswer: 13379145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16314 is divided by 5722?\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174946719 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (4 - 9)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/2 - 1\/2. Let z(q) = -4*q**2 + 11*q + 11. Let w be z(-1). Let b be f + (-2 - 1) + w. What is the third biggest value in -2\/9, b, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -2)*-3.\nAnswer: -3*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121133*f**4*r**2 + f**2 - 4120*f + 4*r**2 wrt f?\nAnswer: -2907192*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*u**2\/7 - 208*u\/7 - 384\/7.\nAnswer: 4*(u - 12)*(5*u + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39424\/(-2772)*(-324)\/(-48)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 130737, 130755, 130785, 130827, 130881, 130947, 131025?\n\"Answer: 6*a**2 + 130731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1}. Give prob of sequence ra.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 2*w + 6, 3*w = 3*q + 18. Let z be (q\/6)\/(2\/(-12)). Let t = -8 + 8. Solve h + t = z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfxxfeve. What is prob of sequence xx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(0 - -1) - (-28 + 25). Which is the closest to 0.1? (a) l (b) -1\/2 (c) 2\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508232?\nAnswer: 2, 17, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = 43*t + 53*t - 560 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b**(1\/8)*((b\/(b*(b\/b**(2\/5)*b)\/b*b*b))\/b)**(6\/5)*((b**0)**41)**(2\/27) assuming b is positive.\nAnswer: b**(-39\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332529*x - 32727*x - 202505*x - 285434*x.\nAnswer: -853195*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*n + 6*q - 600, 5*q = -n + 124. Suppose 0 = -3*w + 2*m + 527 - n, 5*m = 0. Suppose 4*a = w + 2428. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-22\/5)*a*a**(-2\/11)\/a)\/((a**(-10)*a)\/a*a*a**(-2\/29)*a*a) assuming a is positive.\nAnswer: a**(3967\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.55 + 2.95. Put y, 0, -1\/4 in descending order.\nAnswer: 0, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c - c)*((-c + 2*c - 3*c)*(-1 + 1 - 2*c**3) - 2*c**4 + 3*c**4 + 0*c**4).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5800806 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = -g + m + 499, -5*g = 2*m - 192. Calculate the highest common divisor of g and 780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*r - 65, 5*d + 0*d + 3*r + 110 = 0. Let y = d + 27. Suppose -4*k - 20 + 8 = 0. Which is the second smallest value? (a) k (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17414 + 17412. Which is the nearest to 166? (a) j (b) 4\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 2*l**3 + 24*l**2. Let x be u(6). What is the hundreds digit of 4*(-2)\/6*(x + -99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (418\/30)\/((-10516)\/(-9560))\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**3\/2 - 10*q**2 - 3*q. Let c be l(-8). Solve -5*d + d = c*v + 4, v - 9 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 - n - 5. Let a be p(-8). Suppose 7*r - 320 = 2*r + 5*z, 0 = -a*z. Calculate the greatest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {r: 2, u: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5162*s - 4334 = -5535*s + 1634 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u**3)*(-1 + 0 - 1 + (2 + 0 + 1)*(0 - 1 + 0)).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -343503 in -3\/7, 4\/153, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-16)*v*v*(v\/((v*v*v**(-8\/9)*v)\/v))\/v*(v\/(v*v\/(v\/(v*v**10))))\/v**12 assuming v is positive.\nAnswer: v**(-325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*i**2 - 2\/3 + 1\/6*i**3 - 2\/3*i = 0. What is i?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1 + 12*l - 5*l - l. Let v(a) = 5*a. Determine -3*k(p) + 4*v(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 87*n. Let h(z) = -116588*z**2. Determine m(h(o)).\nAnswer: -10143156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 733 divided by 733\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 - 0 - (304 + -296)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 753 - 123 = 3*a, -4*a = 0. Calculate the highest common factor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37390, 37389, 37388, 37387, 37386?\n\"Answer: -d + 37391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 18*g - 3. Let i(n) = -n**2 + 23*n + 52. Let l be i(25). Calculate the remainder when 25 is divided by q(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 - -14.8?\nAnswer: -840.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/4 - 10\/40)*-16. Let g be 10\/(16\/(-72) - k\/18). Solve 15 = -0*b - g*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410*p**2 - 50*p - 1408*p**2 + 50*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412 + 2*f + 378 - 553.\nAnswer: 2*f + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14848 and 5176320.\nAnswer: 150113280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 437, -6 in decreasing order.\nAnswer: 437, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 + 4*s - 1. Let y be m(4). Let r = -8 + 11. Suppose 2*h - 7 = o + 17, 3*h - 33 = r*o. Calculate the greatest common factor of y and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) + 2*sqrt(1400))\/((-1*sqrt(84))\/sqrt(12)) + 2.\nAnswer: -30*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -27447.4 and 0.11.\nAnswer: -27447.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 70. Let m = -20 - y. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + 7 + -2 + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + l**2 - 2*l - 3. Let i be m(-1). Suppose i - 6 = -v, -4*w - 240 = 3*v. Let b = w - -77. Calculate the smallest common multiple of b and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*y + 48, 4*y - 4*n = -0*y + 36. Let z = y + -9. Solve -4*t - 8 = 2*s, z*s = -3 - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 151*w**5\/60 - w**4\/4 - 7*w**3\/6 + 18*w**2. Let h be i(-2). Suppose n + 1875 = 3*z - 2*n, -z = -5*n - h. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 14}. Give prob of picking 3 g and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 9. Let g be j(0). Suppose 5*y - 108 = 2*y. Calculate the greatest common divisor of g and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x + 2*x - 3*x + x**2 to the form t*x + j*x**2 + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-25))\/(-1 - 25\/(-5))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -15. Let z(o) = -13 - 6*o**3 + 7*o + 11*o**2 + o**3 + 4*o**3. Calculate the remainder when z(j) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1683 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 2*y + 0*y)*(2500*y + 256*y**3 + 433*y**3 - 2502*y).\nAnswer: -2067*y**4 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29645*t**3 - 59136*t**2 + 1539*t\/5 - 2\/5.\nAnswer: -(t + 2)*(385*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((2\/6)\/((-12)\/(-24)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 - 4*c - 10. Determine z(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 165*o**2 + 4*o. Let q(c) = 167*c**2 + 5*c. Calculate 4*q(h) - 5*y(h).\nAnswer: -157*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 16*j + 190 = -5*k, 2*j - 81 = -3*k. Solve -11*d = 2*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 16) + (8 + -2 - 2) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -53. Suppose -k*o = 4*i - o + 26, 3*i = 4*o - 10. Let y be (3\/i)\/(2\/(-2*4)). Solve -4*d + u = -3*u, y*d + 12 = 5*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000386359 rounded to seven decimal places?\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**26*y**(-4\/5) assuming y is positive.\nAnswer: y**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24*t**2. Let b(z) be the second derivative of -13*z**3\/6 - z**2 - 731*z. Give b(i(m)).\nAnswer: -312*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696560 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.043311 (b) -2\/3 (c) 0 (d) -3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, -1, -0.4, 0.5 in increasing order.\nAnswer: -1, -0.4, 1\/20, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-7))\/((-20)\/70). Suppose -4*t = -16*t + 480. Solve 5*f - t = 5*d, 4*f - d - 18 = s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22604 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, -19, -72, -145, -238, -351?\n\"Answer: -10*r**2 - 3*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:15 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 4*(0 + -1). Suppose 3*m = a*m - 6. Suppose m*b = 5*v + b - 80, 2*b - 28 = -3*v. Solve 0 = -3*w - 3 + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38070560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*l - 26, -6*w - 4 = -2*l - 4*w. Let m = -7 + 11. Solve m = l*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 27. Solve -h*y - 1 = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/50 (b) -1\/7 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149997336 is divided by 221?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/36 - (-925)\/1332. Factor -2*h + 2\/9*h**3 - i*h**2 - 10\/9.\nAnswer: 2*(h - 5)*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 2 + sqrt(3) - sqrt(6)\/sqrt(18))**2 - -3*(sqrt(144)\/sqrt(4))\/sqrt(12).\nAnswer: 65*sqrt(3)\/3 + 208\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4382\/2189?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 7)\/((-1)\/(-14)). Suppose 4*c - l = 2*c. Calculate the least common multiple of (-22)\/4*2*-1 and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 - 16*v**3\/3 + 46*v**2\/3 - 56*v\/3 + 8.\nAnswer: 2*(v - 3)*(v - 2)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1 = -34. Suppose 4*d - 12 = -0. Solve -d*c + r + 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0783*116.29\nAnswer: 9.105507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-33) - 47859\/(-1749)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 3, -4, 24 in decreasing order.\nAnswer: 24, 5, 3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833 - 1198 = -99*b - 645 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 59\/3. Let w be 1 + 0 + (1 - -5). Let j = w + -6. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7221 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, n: 15}. Give prob of picking 1 n and 3 a.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-2)\/160). Let p = 8 + l. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + 0.2. Let g = -0.22 - s. Sort -0.3, g, 0.5 in ascending order.\nAnswer: -0.3, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*z - 14 = -4*d, 5*d + 26 = 4*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 18*d = -240. Suppose -34*m = -d*m - 8. What is the third derivative of -6*b**2 - 8*b**m - 4*b**2 - 43*b**5 - 13*b**2 wrt b?\nAnswer: -2580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.82 * -6.\nAnswer: -16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 + 22*q**2 - 43*q**3 - 22*q**2.\nAnswer: -66*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 + 25*h + 2. Let v be (4 + 1)\/5*-10. Calculate the least common multiple of 2 and p(v).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (27 + -47 - -6 - -29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 186 in 2\/3, 7, -1\/4, 2\/9, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23384703 and 148.\nAnswer: 93538812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 35*l - 1. What are the prime factors of v(2)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/3 - 4\/12) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8399*x - 32016 = -4397*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 49. Let o = a + -17. Suppose o = -4*j - 0*j + 4. What is the third smallest value in -0.1, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -459971 and 7698.\nAnswer: -452273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*k - 7, -708*k + 710*k - 13*p = 59 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 3*j**2 - 2*j + 1. Let z be l(2). Let t be 6\/((-3)\/4*2). Let p be ((-3)\/t)\/((-45)\/(-6)). Is p less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p + 26. Let f(z) = 4*z - 3*z - 9 + 6*z - z. Let x(v) = -11*f(v) - 4*u(v). What is the tens digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.999931 + -95. Round p to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 32344442?\nAnswer: -32344433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**2 - 112*u**2 + 141*u**2 - 40*u**2. Let y(j) be the second derivative of j**3\/3 - j. Give y(h(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {d: 16, g: 1, s: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -3*h, c + c - 2*h = 24. Suppose c*p = 4*p + 245. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101010010 + 101001110?\nAnswer: 1010010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 26 = -4*k, 5*k + 10 + 6 = 3*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 2*s = 4*t - 30, 0 = t - s + 6. What is the remainder when 4\/(-2) + (t - -16) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(-2))\/3*4 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**2 + 265*a + 1059. Determine k(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 8 = -5*f, 4*k + 9 = -4*f - 4 - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -445724 + 668139. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-26 - -53 - -9) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 10, 5*f = -6*b + b. Let u be 20\/(-1)*(-3)\/(-18). Which is greater: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffnn when four letters picked without replacement from {n: 5, f: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 11) to base 12.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/(-10)*(-6)\/(-5). Suppose s = p - 25, -4*p = -0*p + k*s - 79. Calculate the smallest common multiple of 2\/(-15)*(16 + -22)*20 and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 122. Suppose -3*l = x - 1, 6 = -r*x - 4*l + 2. Let b = 215\/4 + -53. Sort x, -6\/5, b.\nAnswer: x, -6\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by -96\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059086223 rounded to five dps?\nAnswer: 0.00591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52395 + 17466 - 35*o**3 + 26*o**3 - 17*o**3 + 17465 + 17464.\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*w**4 - 6*w**2 + 32*w**2 + 40*w**2 wrt w?\nAnswer: -3312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -177336.002?\nAnswer: -35467.2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 236 = 4*x, 5*x = 21*p - 26*p - 240. Let s be 2\/(16\/(-20))*p\/(-165). Let g = 0.2 - -0.8. Which is the closest to g? (a) 5 (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(2\/3)\/p))**(1\/72))**(6\/23))**10 assuming p is positive.\nAnswer: p**(10\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-18)*6\/2. Let t(n) = -4 + 5*n + 7 - n**2 + 1. Let w be t(s). Put 0, 5, w in descending order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 6. Let l be 2\/5 - (-5 + 40\/(-25)). Solve w + l - g = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 57 - (-4 + 6 + 9) - (2 + 9).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1\/3, -327\/1103, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82484235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjjfjff. Give prob of sequence fjjf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 904282786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287679 = 3*r - 3*s, 2*r - 68750 - 123033 = 3*s. Let a(j) = 8773*j + r*j + 66997*j - 4. Let u be a(-6). What is u rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 - 4 - 1 - 2 - 12*j - 12*j**2 - j**3. Let c = -13 + 2. Let x be k(c). Solve 3*a + 3*i - x = 0, 4*a - i + 0 = -17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 + 5*m**2 - m + 26. Let c be v(5). What is the greatest common factor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.53 and 63.\nAnswer: 41.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b + 18*b**2 - 3 - 17*b - 13*b**2 - 19*b**2 as i*b**2 + p*b + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 352*f + 355*f - 60 = 0, 9*f = s + 36 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68616 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3657*s - 1898 wrt s.\nAnswer: -3657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -185. Which is the second biggest value? (a) -0.2 (b) 51 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -35*x**4\/4 - x**3\/3 - 4. Is 6 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11344 + -11341. Let y = -6 - -6. Let t be y\/2 + 4 + -2. Sort t, 8, z.\nAnswer: t, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175952 is divided by 561.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 120c0 (base 13) to base 14\nAnswer: c0d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1239, -1873, -2509, -3147, -3787, -4429?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3040449 to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/k*k**(-8)*(k\/k**(-1\/4))**(1\/33) assuming k is positive.\nAnswer: k**(-523\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7.8. Which is bigger: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6766)\/204)\/(3\/(2 + -20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -2131595\nAnswer: 8\/2131595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.32242\nAnswer: 0.032242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 206\/849?\nAnswer: 206\/849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 909 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 12\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -145.44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/5 - 19696*h\/5 - 48491552\/5 = 0.\nAnswer: -4924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020112221120 (base 3) in base 14?\nAnswer: 230500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + 8\/6. Let n be (24\/6)\/(-12)*(-63)\/7. Which is the second smallest value? (a) n (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 4*a**2 + 3*a - 7*a + 2 + 5*a to u*a**3 + k + z*a + c*a**4 + y*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**2)\/b**(-5))**(-41))**(-25) assuming b is positive.\nAnswer: b**4100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -x - 3*b + 23, 12*b + 28 = x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2*(-2)\/(0 + 2). Is 6238\/18 - s\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from {a: 2, c: 3, q: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 10 + 23 + (-32 - -17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 126211.\nAnswer: 214558.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 116*a**2 - a + 43*a**6 - 64*a**6 - 31*a**6 - 71*a**6 + 14*a**2 wrt a.\nAnswer: -14760*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 98*w - 2645. Calculate s(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*q + 2 - 8 + 6 to the form r + f*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1578905, 3157788, 4736671, 6315554, 7894437, 9473320?\nAnswer: 11052203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199835?\nAnswer: 5, 11, 23, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 divided by -6?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2 - 6. Let g = x + 6. Suppose -2*h = -3*t - 4, 2*t - 26 = -t - g*h. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650 divided by 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + d**2 + 4*d**2 + 5*d**2 + 2*d**2 - 5*d**2 + (-2 + 0 + 4)*(-d**2 - 3*d + 3*d) + 0*d**2 + d**2 - 2*d**2 + 5*d**2 - 2*d**2 - d**2 + d.\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5) + (-2 - (1 + -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-10) - 3\/(-5). Which is the second smallest value? (a) k (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 23*b**2 - 11*b - 13. Let s be l(-11). Suppose 0*y - 70 = 5*y. Is s at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 3\/(-3) - -2. Suppose -g + 32 = 7*g. Suppose g*j + 30 = 46. Solve -5*t + s = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23371542 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -4*l + 2*g, -5*g = 3*l + 3. Let x be (-1)\/(-2) + 112\/32. Solve -x*o + d - 25 = 0, 5*d - 10 = l*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045476 to 4 dps.\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/320 - 77*203\/153120\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, and 2 l when four letters picked without replacement from elgipnnneplgelgle?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**6\/600 + d**5\/25 - 2*d**4\/5 + 32*d**3\/15 + 2*d**2 + 7*d. Let h(g) be the first derivative of r(g). Factor h(l).\nAnswer: -(l - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1368941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**2 + 0 + 0*r**4 + 1\/6*r**3 + 1\/20*r**5 + 0*r. Let i(k) be the first derivative of p(k). Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178.6 + 195. Let a = x - -2.6. What is the second biggest value in a, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - l - 15, -10 = -0*r - r - 2*l. Suppose x = -r*x + 54. What is the remainder when 58 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 + n + 11. Let j be k(-8). Suppose -j = -0*d - d. Solve 3*g + 2*v = 4*g + d, 5*v = g + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 8 + 1. Let t = 207\/1016 + -10\/127. Which is the third biggest value? (a) -1 (b) t (c) y (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217698546 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85371 and 2985.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236645\/32 - -7396. What is the common denominator of x and 31\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2194430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 + 117 = 6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*p - 20901 + 84706, r - 5*p = 12757. What are the prime factors of r?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -14*o + 507. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41983.\nAnswer: 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2033 or 2048?\nAnswer: 2033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 39. Let b = 1 + -3. Calculate the remainder when r is divided by 20 - (b - (3 + -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 3*l**2 - 5*l + 4. Suppose -4*v + 5*n - 4 = 0, -2*v + 0*n + 2*n = 0. Let m be t(v). Which is bigger: -6\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084*w - 2 - 2019*w + 4033*w.\nAnswer: -70*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:42 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/13, 23, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8946 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -76. Let z(m) = -m**2 - 6*m - 7. Let c be z(p). Suppose 27 = -c*k + 47. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3802 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181704951?\nAnswer: 3, 313, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21*i - 61. Let a(p) = -11*p + 31. Let k(g) = -7*a(g) - 3*o(g). Find the first derivative of k(t) wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let v be 2 + (-1 + r)\/3. Suppose -h - 2*l + 4 = 0, v*h - 3*l + 27 = 70. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*d - 13, -524*d + 267*d - 19 = -254*d + 5*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30714508942.19 + 4.\nAnswer: -30714508938.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*y + 0*y = 4, 4*u + 8 = 4*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-6\/17))\/s*s*s**(1\/5)\/s)**38)**(-42) assuming s is positive.\nAnswer: s**(-75012\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5969208?\nAnswer: 2, 3, 7, 35531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 17\/12*z**4 + 0 - 1\/30*z**5 + 0*z + 84*z**2 + 0*z**3. Factor f(r).\nAnswer: -2*r*(r - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412298863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Let f(i) = -3*i. Let g(r) = -4*f(r) - 5*s(r). Let q(n) = -2*n + 9. Let l(w) = 3*w - 15. Let z(k) = -3*l(k) - 5*q(k). Give z(g(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20313000 + -302?\nAnswer: 20312032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311 (base 5) in base 11?\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (8 + (-1 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2261*n - 2261. Let b be z(-1). Solve -5*i + s = -15, 4*i + b*i = -s + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1\/3*h**2 + 334668 + 668*h = 0.\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/5 or -11391929?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 - 292. Suppose -o*k + 8*k - 1655 = -3*b, -8 = 2*k. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16269737 and 3355?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*7213\nAnswer: 1154.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.896372 + 0.636372. Let k = 3.7 + -4. Which is the second smallest value? (a) 6 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.611 and 692740?\nAnswer: 692749.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3057 by -28.\nAnswer: 3057\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 + -0.06. Suppose 2 = -5*u + 5*j + 12, 5*u + j = -20. What is the closest to 2\/3 in u, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 3. Let r be i(3). Let d(z) be the second derivative of 1\/6*z**4 + 0*z**3 + 0 + 2*z + r*z**2. Let k(b) = -2*b. What is d(k(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -109*w**3 + 4*w**2 + 3*w - 45. Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(1404\/(-8))*(-120)\/200?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*w - 5*d, d + 11 = -7*w + 2*w. Let f = 4 - w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619498 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -211086*k**4 + 964044*k**3 - 467120*k**2 - 1623500*k + 18750 = 0?\nAnswer: -1, 15\/1303, 25\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -5*d + 57. What is d rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:21 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56692 is divided by 14163.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17460000 rounded to the nearest one hundred thousand?\nAnswer: -17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344233308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -80116 (base 10) in base 6?\nAnswer: -1414524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389 by -52.\nAnswer: 389\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1472 and 1308.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155 - -159) + -1 + 10 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 21. Let f = y - 31. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 38*i - 158. Let n(m) = -m + 1. Let w(k) = -2*n(k) - x(k). What is the tens digit of w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5.2\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -50, 0, -1\/2, -1607 in ascending order.\nAnswer: -1607, -50, -5, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22025 (base 7) to base 8.\nAnswer: 12603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102101302 (base 5) to base 13.\nAnswer: -11b6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20968, -20961, -20954?\n\"Answer: 7*k - 20975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0284322 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2577 + 2200 = -12*n + 5803. Calculate the highest common divisor of n and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78, -3, 3 in increasing order.\nAnswer: -78, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -3 + 3 + 50\/10. Solve m = 3*v - 0*v + p + 7, 3*p = v - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26512.77082 + -26513. What is d rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134322 (base 5) in base 10?\nAnswer: 21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1006353 or 7044474\/7?\nAnswer: 7044474\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1516*o. Let k be d(1). Suppose r + 4*r = -15. Let t be k\/16 + r\/(-12). Calculate the highest common factor of t and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) -3 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 806, 55, -694, -1441, -2186, -2929, -3670?\n\"Answer: y**2 - 754*y + 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 + 102. What are the prime factors of c\/(-8) + -19*(-23)\/2?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 40*n + 89. Calculate t(47).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342435948 to the power of 1\/2, to the nearest integer?\nAnswer: 18505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**2 + b. Let g(w) = -6*w. Calculate g(o(i)).\nAnswer: 78*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12. Suppose v - p - 9 = 0. Solve v = 3*u, -5*f - 2*u = u - 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360853*r + 343 = -1360804*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/672*i**8 + 0*i + 0 + 244*i**2 - 1\/48*i**4 + 0*i**3 + 1\/120*i**6 + 0*i**5 + 0*i**7. Factor p(t).\nAnswer: -t*(t - 1)**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - 0.1. Let d = 0.248 - 0.2724. Let x = d - z. What is x rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, x: 5, v: 5, d: 1, u: 2}. What is prob of sequence dvv?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -1326a15?\nAnswer: 1326a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 6*g**5 - 52*g**4 + 126*g**3 - 48*g**2 - 32*g = 0?\nAnswer: -1\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 0.07 (c) -1\/444 (d) -0.1 (e) -1\/5 (f) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 4:59 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 49687.\nAnswer: 447183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 3)*((-2*g + 2*g + 2*g)*(5 - 2 - 1) + 4*g - 4*g + g + 9*g - 11*g - 4*g - g + g - g).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 46. Let v be i(-16). Find the second derivative of -15*o + 31*o + 23*o + 20*o**v + 19*o wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25378274, 25378271, 25378264, 25378253?\n\"Answer: -2*a**2 + 3*a + 25378273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 + 3*o**3 - 21*o - 3*o + 0*o**3 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175594 is divided by 105?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5880621.\nAnswer: 3, 809, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2 - 125227200*u - 751363344 = 0.\nAnswer: -6, 31306806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdy when three letters picked without replacement from {d: 2, b: 2, y: 4, h: 1, m: 4, f: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 7\/60*d**6 - 2*d**3 + 0*d - 269*d**2 + 1\/105*d**7 - 7\/12*d**4 + 0 + 1\/6*d**5. Factor w(u).\nAnswer: 2*(u - 1)*(u + 1)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/11 - 1) + 110\/605. Let u be 4\/20*b - (-72)\/(-10). Which is smaller: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -653493*g**4 - 355981*g**2 wrt g.\nAnswer: -15683832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o - 2*w - 34, -w - 17437 = -4*o - 0*w - 17454 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 6\/(-44)*3\/(378\/(-5488)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/12 - 1\/12. Which is the fourth biggest value? (a) 1\/7 (b) m (c) -18 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 - a**4\/12 - a**3\/2 - 3*a**2\/2 - 95*a. Let p = -8 + 6. Determine i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, r: 1, u: 1, j: 2, d: 1}. What is prob of sequence ldo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -101*w + 2. Let l(v) = 101*v - 2. Let b(k) = -2*l(k) - 3*m(k). Let s be b(2). Suppose -7*r = r - s. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 714721850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.1 (c) 7\/5 (d) -12 (e) 1913\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 4\/5*h + 7\/20*h**4 + h**3 - 44 + 13\/10*h**2 + 1\/25*h**5. Suppose o(q) = 0. Calculate q.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -142. Let j = g + 74. Let c(w) = 7*w - 16. What is the units digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3517 and 0.4.\nAnswer: 1406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deeeddxxggggeggzeg. Give prob of sequence zd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 14.87, -1\/4, 0.\nAnswer: -1\/4, 0, 3\/2, 14.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2652359\/9 < -294708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 + 432. Suppose t = -13*z + 290 + 334. Solve z*s - 52*s + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 43652\/(-8))\/((-2)\/(-688)). Suppose -a - 1023996 = -2*m. What is m rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j - 415560 = -1461554. What are the prime factors of j?\nAnswer: 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3)\/(-2 + 1). Let g be (3\/h*0)\/3. Let s = 30.5 - 30. Which is the closest to -1\/3? (a) 0.2 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a (base 15) to base 16.\nAnswer: -2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-25) + (-6)\/(-10). Suppose h*l - 2 = 4. Solve -3*u - l*u = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 2*c**2 + 3*c**2)*(34 + 4 + 414 - 27) in the form g*c**2 + b + h*c and give g.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 40, 61, 70, 61?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 8. Let m be u(8). Let r = m - -7. Suppose 4*t - 5*k - 490 = t, -4*t - 4*k + 664 = 0. What is the greatest common divisor of r and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*2)\/(sqrt(168)\/sqrt(6)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-3)\/(-10)*2310\/693).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 + (14 - 5). Suppose -3*z - 5*q = -3*q + 4, 0 = -3*z + 3*q - k. Do -0.4 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + b - 2*b)*(4*b**2 - 4 + 4) + (14 - 14 + 9*b**2)*(0*b - 2*b + 8*b) to the form c*b + l*b**3 + r*b**2 + s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -4.2. Let h = 0.1 + 0. Let x be (-2)\/6*(-3 + 2). What is the nearest to h in k, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 73\/6*z**3 - 1\/5*z**7 + 0*z**4 + 0*z**5 + 0 + 1\/60*z**6 + 107*z**2 + 0*z. Differentiate y(q) wrt q.\nAnswer: -168*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3925383.02 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -257, -267, -281, -299, -321, -347?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q - 22. Let i be p(-2). Solve 4 = 3*n - i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 12 - 38. What is the smallest common multiple of 2 and (3 - 5)\/((-5)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2. Let q(h) be the third derivative of 0*h + 0 + 0*h**3 + h**2 - 1\/15*h**5 + 0*h**4. What is q(n(y))?\nAnswer: -196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3599 minus 3?\nAnswer: -3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 735 - 770 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.3. Let k = -3.63 + 0.13. Let j = 3 + k. What is the nearest to 0 in u, -2, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6604a (base 15) to base 11.\nAnswer: -20152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -6.45.\nAnswer: 6.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120780068, 120780071, 120780074, 120780077?\nAnswer: 120780080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*r - 10, 0*r + 5*r = -10. Let t(f) = 2*f - 4. What is t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 507, 647, 785, 921, 1055, 1187, 1317?\n\"Answer: -l**2 + 143*l + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/((-1060)\/(-264) + -4). Let p = b - 83. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose 2*x + 3*m - 1 + 2 = 0, 3*m + 9 = 0. Let q = x - k. Solve q = -i - 3 + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Solve p + 5 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -32. Suppose -15 = -c - b. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*w + 3, 15 = -3*g - 3*w + 6. Let y = -846.99 - -847. Sort g, y, 0.5.\nAnswer: g, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4571 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3546353 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442 is divided by 256?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/72 + 5*m**4\/72 + 5*m**3\/36 + 42*m**2. Factor l(s).\nAnswer: 5*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13737667691 and -0.283.\nAnswer: 13737667690.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14823 and 1536285?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14626*z**3 - 93359*z**3 + 9620*z**3.\nAnswer: -98365*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(160\/296))\/(30\/(-120))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1494460659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:43 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 103 = -w - 0*w, -2*f - w + 59 = 0. Let c = f - 30. Is (1\/c)\/(2\/(-78)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93788?\nAnswer: 2, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 358, 727, 1110, 1513, 1942, 2403?\n\"Answer: f**3 + f**2 + 359*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176841.\nAnswer: 3, 17, 167, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 3. Give r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let s be t - (1 + (-24)\/(-20)). Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40337223 is divided by 5762457.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/10*(-20)\/(-3). Suppose -151 = -3*r + x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 12. Let a be h(-9). Suppose -8*c + a*c + 18 = 0. Let y be (-6)\/(-1) - (0 - -1). Solve -2*k - c = -y*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601211 divided by 1339?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, t: 2, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 11267*g + 2 + 11699*g - 8544*g)*(-4 + 1 + 0) to m*g + y and give m.\nAnswer: -43266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 7:26 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, j: 1, q: 2, e: 4}. What is prob of sequence jqe?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/44 and (-4)\/198*105\/147*21.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 128 - 34 - 3*i + 80)*(22 - 2*i**3 - 22).\nAnswer: -10*i**4 + 164*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165298 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 4*v**2 - 3*v**2 + (-4*v + 0*v + 2*v)*(0*v - 2*v + v) + (0*v - 18 + 16 + v)*(-v - 2 + 2) as i*v**2 + u + s*v and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466930022?\nAnswer: 2, 13, 17958847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7922?\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1386.8 and -6.5?\nAnswer: 9014.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let x(n) = -n. Let o(r) = 4*d(r) + 5*x(r). Let l(v) = 22*v - 4*v + v. Give l(o(s)).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054562652 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 22. Suppose q = 10*r - 6*r. Solve -17 + m**2 - 21*m + 0 - r*m**2 - 1 = 0 for m.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4695\/13 - -361. Suppose -2*b + 12 = r - 79, 4*b + 4*r - 172 = 0. Let o = b - 93\/2. Sort o, -0.4, n.\nAnswer: -0.4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let d(c) = -57*c + 130. Let p be d(2). Suppose -2 - 14 = -p*m. Let q(l) = -l - 1. Determine m*g(o) - 3*q(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftg when four letters picked without replacement from fuzgtwfztwgtft.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 - 3*s + 4. Let n(v) = 7*v**2 + 5*v - 3. Let l(h) = 15*h**2 + 11*h - 6. Let b(z) = -3*l(z) + 7*n(z). Determine -4*b(o) - 3*q(o).\nAnswer: -4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -72.898. Round a to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2862.6?\nAnswer: 858.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 + 0*u - 1\/4*u**4 - 1\/60*u**5 - 7*u**2 + 5\/6*u**3. Let b(i) = -i**3 + 5*i**2 - i. Let m be b(5). Calculate c(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 9. Let q = 30.1 + j. Let u = 5 - q. What is the second biggest value in u, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -27, 4 in increasing order.\nAnswer: -27, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2443782373 - -0.03.\nAnswer: 2443782373.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and 155\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1376 * -0.1\nAnswer: -137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + ((-8 - -3) + 16 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 2)*(-1 - 4 + 3) - 2 - 2 + 6 - 7 - 4 + 7 + 123 - 46 - 211)*(-3*a**4 + 7*a**4 - 2*a**4).\nAnswer: -280*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39844.39 centuries to years.\nAnswer: 3984439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903 > 4325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22842 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by -8.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40064 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let m(v) = 4*v**2 + 6*v. Calculate j(f) - m(f).\nAnswer: -4*f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 99*h - 93. Let j be m(32). Solve 14*u = -j*u - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 51\/(-66)*-6 + 0 + 1?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 (base 8) in base 10?\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -813\/5 + 162. Which is the closest to -0.1? (a) -2 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 times 42\nAnswer: 3.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + 9*w - 3. Let j be v(-4). Let k be 558\/217*(-3)\/((-3)\/7). What is the greatest common factor of k and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 1\/2352*f**8 - 1\/56*f**4 + 5\/21*f**3 - 135*f**2 + 0*f + 1\/245*f**7 + 0 + 1\/420*f**6 - 4\/105*f**5. Let b(v) = 0. Calculate v.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, p: 6, x: 2}. Give prob of picking 2 p and 1 g.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 66.4. Put -0.5, -3, c, 3\/7 in increasing order.\nAnswer: -3, c, -0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106647 (base 11) to base 4.\nAnswer: 221131112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*c + 2*c, 5 = -c. Let n be (4 - p)*10\/2. Is ((-53)\/n)\/(3\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-125)\/(-20) + -6 + 46\/8. Let p be (-1 + 7)\/(1 - 2\/t). Suppose 4*b - p*b = -820. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 8*g**7\/525 - 178*g**6\/15 + 198913*g**5\/75 - 6586*g**4 + 32856*g**3\/5 - g**2 + 407. Factor h(d).\nAnswer: 4*(d - 222)**2*(2*d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65757 and 604785.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -1092, -2464, -4388, -6864?\nAnswer: -9892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.5, 76 in ascending order.\nAnswer: 0.5, 17, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010011010 (base 2) to base 8.\nAnswer: 7232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 986627.4ml?\nAnswer: 986.6274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7872 = 4*n - 492*h, h = -1376*n + 1379*n - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.006 + -1.994. Which is the nearest to d? (a) -4 (b) 0.01 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/4*((-6)\/(-18)*-6)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 4394*k + 58 - 26 + 1259*k)*(7 - 4 + 8).\nAnswer: -34485*k + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -90. What is the remainder when r is divided by (-3 + 2)*2*-11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 4*g + 3*d - 7, 5*g - 2*d - 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58742 + 160243. Let w be x\/5 + (-6)\/30. Round w to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1927433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from czrrrrrrsrfsrrfszrr?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1928 + 324.1928. Sort 0, 3, o in ascending order.\nAnswer: 0, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.52 rounded to 0 decimal places?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/304702 and -19\/146.\nAnswer: 304702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*a, p + 2 + 3 = -4*a. Let c(v) = -27 - 22 - 22 - 30 + 102 + 11*v. Determine c(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 80, 97, 112, 125, 136, 145?\n\"Answer: -o**2 + 22*o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6178119, 12356242, 18534367, 24712494, 30890623, 37068754, 43246887?\n\"Answer: a**2 + 6178120*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 61*d**2 + 155*d - 72. List the prime factors of x(-58).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 4\/(-3)*3. Suppose y*j = -3*j + 245. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -926*d**2*j*s**2 + 25*d**2*s**2 + 5*d**2*s - 44*d**2 - 14*d*j*s - 3*j*s**2 - s wrt s?\nAnswer: -1852*d**2*j + 50*d**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 2*x + 1. Calculate g(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004997438 rounded to 5 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4911 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhfqkhh. Give prob of sequence kqh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 911200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2788.4 and -0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323 + -321. Suppose p - i*b = 10, -35*p + 38*p - 4*b - 36 = 0. Calculate the greatest common divisor of p and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l = -50. Let b = 10 + l. Suppose -q - 2*s + 12499996 = b, -2*q - s + 24999998 = -0*q. Round q to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -95 - 247. Calculate the greatest common factor of l and 418.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**2 - n + 1. Let c(h) = 2*h - 15. Let t be c(8). Let z be g(t). Put 0, 5, z in increasing order.\nAnswer: z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - ba59b7?\nAnswer: -ba59b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -0.8, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 517 - 515. Solve -w + 2*c - 8 = 0, 5*c - 6 = j*w + 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18522 and 810.\nAnswer: 277830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.800065. Round l to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1544646, 0.2, -13.\nAnswer: -1544646, -13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-15) + (-4)\/(36\/(-45)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqgx when four letters picked without replacement from xdqddxqgxqqxdqd.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**1\/l*l)\/l))\/l*l)\/l)**(-2\/3)\/(l\/(l*l**3)*(l*l**(1\/11))\/l) assuming l is positive.\nAnswer: l**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(153) - -2*sqrt(153)*-3) + -5*(sqrt(153) - sqrt(153)*-2)))\/((1*sqrt(900)*-5 - sqrt(900)) + -1*sqrt(900)*-2))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 7.8, 0.1, 1, -1\/3, 31, 1\/5?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 13) to base 10\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -644\/15 - -8164\/165. Sort -0.1, a, 1.\nAnswer: -0.1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 7.87.\nAnswer: -5.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 41*f**4\/4 - 79*f - 39. What is the first derivative of r(g) wrt g?\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10990 is divided by 114?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2970 and -123\/20.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -13, -23, -33, -43, -53?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ouoooohookhhookkuo?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1142 + -874. What is the greatest common factor of t and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1936) + 4*sqrt(1936) - (sqrt(160)\/sqrt(360) - sqrt(16)))\/((-1*((sqrt(96)*-1 - sqrt(96)) + sqrt(96) + sqrt(96)) + sqrt(96))\/(1*sqrt(1728))).\nAnswer: 670*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 29248*a\/9 + 13835254\/3.\nAnswer: -2*(a - 1303)*(a + 15927)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -161806087 divided by 1\nAnswer: -161806087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 6)*(-14 - 19 + 6)*(-3*w + 3*w - 2*w**3) to o*w + k*w**2 + h + p*w**3 and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + -0.38. Let x = -87.5 - -93.7. Which is the nearest to x? (a) -2 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26741 and -580677.\nAnswer: -580676.73259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 15. What is the second biggest value in -5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 42 + 10. What is the third derivative of 1064*n**4 - 42*n**3 + 3 + 8*n**3 - 1065*n**y + 2*n**2 + 4 wrt n?\nAnswer: -24*n - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11712 and 288?\nAnswer: 35136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3404 + 5121. Let a = p - 728. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.052 - 7.140067. Round n to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/48*(-12)\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/4*((-30)\/(-3))\/(-4*(-60)\/96)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + 1*sqrt(704).\nAnswer: -1 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x**2 - 2*x - 2. Let b be n(2). Let a = 135 + b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-4) - 10\/(-40). Suppose -7 = 4*y + 5*f, a = -y - 3*f - 5. Let g(u) = 3*u**2 + 5*u - 2. Let j be g(y). Solve 0*w + j = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -4701.099?\nAnswer: -56413.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 59*r - 3*d = 25, -r - 5*d = -1. Solve r*k + 9 = 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28999, 57356, 85713?\n\"Answer: 28357*z + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = w + 4 - 13, w = -d + 3. Let o(c) = -d - 5*c + 0 + 3*c - 6*c. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let t be -1 - c\/2*-6. Suppose t*q + 10 = 7*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*l**4 - 52*l**4 + 88*l**4)*(-1 + 2 + 0)*(8*l + 3*l + 0*l - 2*l - l + 2*l + (1 - 2 + 2)*(-2*l + 4*l + 2*l)).\nAnswer: -266*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 5*z**2 - 2*z**2)*(-3*z + 6*z - z) - 3*z**3 + 4*z**3 + 4*z**3 + 9*z**3 - 24*z**3 + 45*z**3.\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -517\nAnswer: 36.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -828, -8, 1\/3?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 22*f**2 + 101*f - 51. Calculate s(-26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25606 (base 7) to base 6\nAnswer: -51321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9450 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 8:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*n**2 + 14*n**2 + 51*n**4 + 421*n**4)*(4 - 2 + 1) to the form c*n**2 + k*n + p + u*n**3 + f*n**4 and give f.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5518*t**2 - 106*t + 8532748 wrt t?\nAnswer: -11036*t - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 74*u**2 - 96*u - 25009. Determine m(67).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14aa36a + -3?\nAnswer: -14aa36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 2*a - 4*a)*(-2*a**3 + 6*a**3 - a**3) in the form q*a**3 + w*a**4 + l*a**2 + u*a + i and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-36)\/(-891). Let n = 4 + -6. What is the nearest to 0.1 in n, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 16318 + 16324 - 48965 + 16323.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101248*c**3 + 14100*c**2?\nAnswer: 607488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 116. Solve 3*o - g = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 2*m. Suppose -2*k = -2*d - 2, -m*k = -6*d + 2*d. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {h: 1, a: 2, j: 4, w: 3, x: 6, k: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1106 + 264. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 0.11658.\nAnswer: 0.31658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.381651 millilitres in litres?\nAnswer: 0.000381651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqiihqniy. Give prob of picking 1 i, 1 h, 1 n, and 1 y.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*l**2*q**3 + 189*l**2*q**2 + 16*l**2 - 3*l*q**3 - l*q**2 - l*q - 1680786*q**3 - 2*q**2 wrt l?\nAnswer: -206*q**3 + 378*q**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45578595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 l when four letters picked without replacement from lccclcccccclcccccc?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 16*o**2 - 9*o - 19. Let d = 125 + -108. Does 13 divide a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*t**2 - 423 + 423 + (1 - 1 - 2*t**2)*(-4 + 4 - 1) + (1 + 1 - 3)*((3*t - 2*t + 2*t)*(t + 3*t - 5*t) - 5*t**2 + 4*t**2 + 2*t**2).\nAnswer: -94*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1854 - 55*m - 1854)*(-32*m + 0*m - 51*m + 11*m).\nAnswer: 3960*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 615930113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9778549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48691179 and 21640524?\nAnswer: 194764716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12*2*0\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41998 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -a + 4*z + 15, 6 = -2*z. Suppose 0 = -3*x - w + 10, 41*x = 36*x - 2*w + 16. Solve a - 17 = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137*g + 49*g + 68*g)*(-1 + 0 + 0) in the form a + w*g and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -98*k**2 - 31*k + 127. What is j(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.870091 days in weeks?\nAnswer: 9.410013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooog when four letters picked without replacement from {n: 7, g: 4, o: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533777.\nAnswer: 533777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 298.6 and 1?\nAnswer: 298.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -14. Let f = d + 80. Calculate the highest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + (sqrt(76) + sqrt(76)*2*6 - sqrt(76))))\/(5*sqrt(4)*-2 + (sqrt(4) - (sqrt(36) + sqrt(72)\/sqrt(2)))) + 4.\nAnswer: -26*sqrt(19)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -24097*o - 72395. Determine f(-3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 46 = 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.018842 - -0.01279. What is q rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 69, 303, 773, 1557, 2733, 4379, 6573?\nAnswer: 9393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302082 divided by 3.\nAnswer: 100694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 394 - -1?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1044, 0, 4\/7, -275 in ascending order.\nAnswer: -1044, -275, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4.7, 4, -12\/11, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131300927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 186*g + 3779. Calculate x(-17).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 3*y - 7*y - 6 + 0. Let m be q(-4). Is m\/(-3) + 14881\/69 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*b + 53*b + 66616. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sdddssssssss.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d**(-1\/4))**48)**(-5\/14) assuming d is positive.\nAnswer: d**(330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -561902.77 rounded to the nearest 100?\nAnswer: -561900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -418 + 250. Let n = -162 - i. Solve 3*a = -l - 3, -3*a - 3*l - l = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 236 = 0. Let d(v) = 56*v - 1500. Let m be d(31). Calculate the highest common divisor of m and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-18)\/(-8)*-2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*d - 27, 3*d - 22 = 4*d + 5*x. What is the common denominator of -31\/10 and ((-1140)\/(-432))\/((-2)\/d)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.822 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*q + 12461 + 15110 = -40919 - 16210 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994124 is divided by 265?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 6. What is f(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 12 + (-1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)\/3 + 2. Suppose 2*c = 3*c - j. Let m be 62\/6 - c\/9. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134234421 (base 5) to base 4.\nAnswer: -2221332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 199876 divided by 5\nAnswer: 199876\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 3, b: 3, o: 1, c: 3}. Give prob of sequence coc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -217\/4. Sort t, -12, 2\/9, 1\/8 in descending order.\nAnswer: t, 2\/9, 1\/8, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2910 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 88.40442\nAnswer: -106.085304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = -4*s + 8*s. Let b = 424 - s. Let o = 179 - b. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 6*f)*(2*f**4 - 8*f + 2*f + 3*f).\nAnswer: -10*f**5 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxp when four letters picked without replacement from {x: 4, p: 1, f: 1, c: 4, z: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3603690 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7999000 by 380.\nAnswer: -21050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from ehfheeffheehefhe?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4199200 = 19*j. Is (-13)\/(910\/j) + 2\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249101 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/19403 + 1300041\/776120. Let q = 898\/7 - 3645\/28. Calculate the common denominator of q and j.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 35*v - 57. Let q be j(2). Solve 13*g + q = -39 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6 - z**2 + z**3 - 6*z**2 + 7*z - z**2. Let n = 107 + -80. Suppose 4*y + 2*a - 48 = -3*a, 5*a = -y + n. Calculate g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:13 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyxxy. What is prob of picking 1 x and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 16*o - 15. Let i be s(17). What is the third derivative of 0*x**2 + 32*x**4 - 32*x**4 - 11*x**i - 12*x**5 wrt x?\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5906*x**2 + 1259*x**2 - 935*x**2 + 9599*x**2.\nAnswer: 15829*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/6 + -1)\/((-15)\/(-30)). Let i(f) = -f**2 + 1. Let y be i(0). What is the greatest common divisor of r and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1425, 11305, 38125, 90357, 176473, 304945, 484245?\nAnswer: 722845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 - 8*a**3\/3 - 12*a**2 + 12*a - 170. Is y(12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -22 + (0 - -3) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + d - 4. Let s be v(7). Suppose 5 - 44 = -s*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 35 - (-108 - -128)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48a24 - 5?\nAnswer: -48a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-231 - -377 - (0 + 18)) + -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 4965478?\nAnswer: 4965478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284943641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (-9*3\/(-9) + -7). Put 0, 1, 49, m in decreasing order.\nAnswer: 49, 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 287284.4 litres?\nAnswer: 287284400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 651\/(-133)) + (-5706)\/(-57). What is the greatest common divisor of 60 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337171 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.5, 4, -21\/5, 0.3?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 37*f**2\/3 + 8*f.\nAnswer: f*(f - 24)*(3*f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0 - -3)*-3. Let c be (u\/(-10))\/((-6)\/(-20)). Solve c*t = -2*y - 13, -5*y = -2*y - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m - 298 = 631 - 335 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 163, 349, 663, 1147, 1843, 2793, 4039?\n\"Answer: 7*p**3 + p**2 + 48*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let m be s(-4). Suppose 3*i + 22 = -4*p + 2, -p = -m*i + 5. Suppose 4*r = -i*r + 124. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**6 - 2*n**5 + 479*n**3 + n**2 - n - 693.\nAnswer: -120*n**3 - 120*n**2 + 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -w - 3*w, -3*w - x = -3. Solve g + g - 4*c = -2, w = 3*c + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112943\/2313 bigger than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1603*d**3 - 6*d**2 - 957. Let m(w) = 1601*w**3 + 5*w**2 + 958. Let q(h) = 6*m(h) + 5*r(h). Find the first derivative of q(x) wrt x.\nAnswer: 4773*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -29162*y**2. Let n(k) = 4*k**2. Give q(n(x)).\nAnswer: -466592*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {s: 4, r: 6, m: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y - d - 982 = -145*y - 59, 2*y - 2*d - 10 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 3*w)*(0*w**3 + 0*w**3 - 16*w**4) - 2 + 2 - 2*w**5.\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)\/(x\/x**7)*(x**(1\/4))**43 assuming x is positive.\nAnswer: x**(197\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94175 is divided by 31104?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44382 - 37998 = -15*y + 3*y. Sort -0.4, 1, y in descending order.\nAnswer: y, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/621644 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 - 3*c**4\/4 + 5*c**3\/3 + 3*c**2\/2 + 10*c. Let i be l(-10). Suppose 0 = z - 6*z + 40. Solve z*u - 25 = i*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 229.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1445571961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4087*s. Let m(h) = -2*h**2. Determine m(y(n)).\nAnswer: -33407138*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 237944370 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: Sort -17, -3\/7, 2\/17, 9820\/7, -1\/11 in decreasing order.\nAnswer: 9820\/7, 2\/17, -1\/11, -3\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/3 - 1577*c\/3 - 526 = 0.\nAnswer: -1, 1578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3474 and 54263301?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 380, 559?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25, 0.4, 2\/9, -5, -1 in ascending order.\nAnswer: -5, -1, -3\/25, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6756\/7 - -973. Let f(d) = 56*d - 1. Let a be f(2). Let q = 329\/3 - a. Find the common denominator of m and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/15*(-9)\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4326948*h**5 + 114*h**2 - 10560*h.\nAnswer: -259616880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*p - 10\/3*p**3 + 5\/3*p**5 + 5\/3 - 10\/3*p**2 + 5\/3*p**4.\nAnswer: 5*(p - 1)**2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -748 - -762. Let t be 99\/(-231) - (-20)\/a. Solve -5*r = 5, 5*g + r - t = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Let i be -3 + 1 + 2 + r. Suppose i = a - 6*a + 30. What is the lowest common multiple of a and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 22*s**2\/3 - 1334218*s\/3 - 1334240\/3 = 0.\nAnswer: -1, 667120\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 5*j + 2*j)*(0 + 4 - 5) + (0 - 2 + 3)*(-5*j + j + 5*j) - 29*j + 138 - 138 to n*j + o and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 43200000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2079 = 3747*d - 3545*d + 4385 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 20, 0.3, -0.5, 6\/335, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(768)*-1 + 1 + sqrt(768) + -1)*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 6*y**2 - 6*y + 7. Let a be l(-7). Let z = 16 - 15.5. Put -3, z, a, 3\/5 in ascending order.\nAnswer: -3, a, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*r**2 - 93*r**2 + 410*r**2 - 135*r**2 - 89*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 56*r**2 - 6*r + 179143. Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 4)\/(-4) + 5. Suppose a = g - 0. Let m = 11 - 4. Is g at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-9))\/((-3)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 + 79109444\nAnswer: 79109444.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410382 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*o - 41 = 0, 0*o + 23 = n + 3*o. Let a = n + -4. Calculate the remainder when 3 is divided by (-13)\/11 + 2 + a\/55.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(114) + -3*-2*sqrt(114) - (sqrt(114) - (sqrt(114) - sqrt(114)*-1 - sqrt(114))*-6))\/((-1*sqrt(18))\/sqrt(3) - -1*(sqrt(6) + sqrt(24))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((0 - -5 - -3) + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 316*y - 9. Let i be p(9). Suppose -3*k - i = -9300. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 3*b)*(-1050 + 422 - 612)*(-2*b**2 + 0*b + 0*b)*((3*b + 2*b - 7*b)*(6 - 1 - 2) + b - 5*b + 5*b).\nAnswer: 24800*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1125 - 8935\/8. Calculate the common denominator of -48 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five quarters of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-285)\/(-4))\/(-5) + (-9)\/(-36). What is the units digit of 470 - (c\/7 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + (1 - -2) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2200 and 1997336?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (1 - 0)*4. Let g(j) = 20*j. Let i(o) = 1740*o. Let c(h) = -520*g(h) + 6*i(h). Let l be c(n). What is l rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2 + 1 - 2 - 2 - 119*x. Let j be d(1). Let h = 191 + j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kykkkqkkkyyq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/6 + ((-2)\/(-8))\/((-8)\/16). Let o = -2 + 5. Which is the closest to -1? (a) z (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45327 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 + u**2 + u**4 - 2*u**2 + u + 1. Let c(j) = 6*j**4 - 4*j**2 + 3*j. Let o(z) = -c(z) + 4*x(z). What is the second derivative of o(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-6 + 3 - 2 - 2*o)*(-3*o - 74 + 74)*(18*o + o + 25*o).\nAnswer: 528*o**3 + 1320*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = -s + 36, 0 = 4*s - q - 114. Suppose -3*b + s = -209. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 1368.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 675\/21)\/(5\/(9520\/32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-14))\/(360\/1008). Let -m*o + 5*o**5 + 0 + 4*o**2 - 4*o**4 - 21\/5*o**3 = 0. What is o?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 6. Let i be g(-6). List the prime factors of (i\/(-20) + 3)*25.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 7 + 24)*(1 + 4*j**2 - 1) to the form y*j**2 + n + c*j and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(3\/14))\/x))**41 assuming x is positive.\nAnswer: x**(697\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n + 10. Let g(w) = w + 1. Let i(s) = -3*g(s) + h(s). Is i(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.8 - -496.2. Let o = 405 - h. Let y = o - -173.99999854. What is y rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 - 14*u**3 + 33*u**2 + 4*u - 44 = 0. Calculate u.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 28*k + 7. What is h(11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 2*y - 1. Let g(t) = t**3 + 5*t**2 + 4*t + 1. Let h be g(-4). Let o be c(h). Suppose o = 10*v - 14*v + 8. Solve v*a = -a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:34 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*u**2 - 73*u**2 + 39*u**2 in the form n*u + y*u**2 + p and give y.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b51 (base 16) to base 15\nAnswer: -cd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -632, -848, -1150, -1538, -2012, -2572?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 129 - 73 - 78. What is the nearest to 3.1 in 3, i, 4, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-32)*-1)\/((-1)\/(-74))*(-4)\/4?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19989\/3440 + -3\/1720. Find the common denominator of s and 91\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*y - 1179, 4*y = 2*c + 2*c - 2308. Suppose -2*r + 278 = -3*l, -5*r = 5*l - 113 - c. Let t = r - 80. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140)\/sqrt(4) + 3*sqrt(140)\/sqrt(4))\/((-2*sqrt(567) + sqrt(567) - sqrt(567))*4) + -3.\nAnswer: -3 - sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/234093657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 1:45 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/7 - 2004*r**2\/7 + 354490*r\/7 - 352488\/7 = 0.\nAnswer: 1, 228, 773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.66 - -0.16. Which is the smallest value? (a) -0.04 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 18 = 74. Suppose -6*i + 8 + 4 = 0. Suppose -i*b + 54 = d. What is the remainder when 42 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 take away 2169509?\nAnswer: -2169522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, j: 16}. What is prob of picking 1 p and 2 j?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 22*p**2 + 22*p - 27. Let t be -11 + -1 + 123 + (0 - 6). Suppose 0 = 3*c - 3*f - 33 - 30, -5*c + t = -3*f. Give l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let w(c) be the third derivative of c**5\/60 - 5*c**3\/6 - 2*c**2 - 11. What is w(p(b))?\nAnswer: b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 10 + 6. Let u(x) = -2*x - 8. Let s be u(r). Calculate the smallest common multiple of 1 and 3\/((-2 + s)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 179. Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l - 4 = f, -10 = 2*l. Suppose -f = c + 2*c, 0 = -3*n - 2*c + 4. Suppose -z - 19 + 92 = n*h, -2*z = 3*h - 144. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*p + 450*p - 176*p)*(0*p**4 + 0*p**4 - p**4 + (-3*p**2 - 2*p**2 + 3*p**2)*(6*p**2 - 3*p**2 - p**2)).\nAnswer: -2205*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -35, -38, -39, -38, -35, -30?\n\"Answer: p**2 - 8*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169? (a) -5 (b) 13\/7 (c) 5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.1 or -17\/84?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146221590029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + h, -4*l + 9 + 3 = 2*h. Let u(f) = 2*f**2 - 4*f + 2. Let r be u(l). Solve i + 3*y + r = 0, 3*i - 8*i = -3*y + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 4*k**2 + k**3 - 2*k + 8*k as z*k + u + r*k**2 + p*k**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6726*b**3*n**3 + 23*b**3 + b*n**3*v + 181*v wrt n.\nAnswer: -20178*b**3*n**2 + 3*b*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/4*(-4)\/(-6). What is the highest common factor of d and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Let u(p) = 11*p**2 + 14*p + 21. Let y be u(-3). Suppose -53*q + 3120 = -23*q. What is the greatest common divisor of y and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(63\/12))\/((-1280)\/2880)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-12)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3408, -3, 0, -4.\nAnswer: -4, -3, 0, 3408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k**3*z + 2480*g*k**2 + g*k - 3*g + k**3*z + k**3 - 29*k*z wrt z.\nAnswer: g*k**3 + k**3 - 29*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -462*g*r**3 - 19*g*r + 13585*g with respect to r.\nAnswer: -1386*g*r**2 - 19*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1974911, -1974912, -1974913, -1974914, -1974915?\n\"Answer: -s - 1974910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 16*a**2 - 18*a - 18. Let l be z(-17). What is the nearest to l in 0, 2, -3.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88650425 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11282 - -14?\nAnswer: 11296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 + 98 - 1 + 42)*(5*z + 0*z - 6*z) to m*z + b and give m.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92092345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7972, -15977, -23980, -31981, -39980, -47977, -55972?\nAnswer: -63965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 45 + (31 - -14).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8826344 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 585251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/24685 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1\/2, 0.2, -3, -0.1 in increasing order.\nAnswer: -17, -3, -1\/2, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-5) - (-4)\/(-2). Let i be (-8 - -8)\/((-4)\/m). Which is greater: 6\/19 or i?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.801742 and 57.\nAnswer: 58.801742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25698978 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, e: 2}. Give prob of picking 2 l.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/5, 340, 21\/97 in decreasing order.\nAnswer: 340, 3\/5, 21\/97, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92246662 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bbb53 (base 15) to base 14.\nAnswer: -11758d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*w - 25, 95*w = -r + 90*w - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 63875, -4, -234 in decreasing order.\nAnswer: 63875, -4, -5, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5593 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 + 86*n**2 - 206*n - 48. Let d be q(26). Solve d*y + 2*j = 0, 9*y - 2*j = 12*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42\/13 - -323\/104. What is the nearest to -0.2 in v, 1, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/5 (b) -2 (c) -1.5 (d) -0.1 (e) -3\/8 (f) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a factor of 5626608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223231200 + -30?\nAnswer: 223231110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 22\/8)*4. Let l be (1 + 14)*(-7 + i + 3). Let u = l - -16. Solve -5 = -4*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let c(u) be the second derivative of -u**3\/6 + u**2\/2 - u. Let y(z) = -6*c(z) - 5*p(z). Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 487? (a) -1\/292 (b) -0.4 (c) 11 (d) -4\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14199 or -54595?\nAnswer: -54595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -3 + 73 + 0 + (-11 - -5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 9176*w**2 - 2*w + 9176.\nAnswer: 2*(w - 4588)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a century?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008489 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 286, 397, 480, 529, 538?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 283 - 283.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h + 3. Let d(a) = a**2 + 2*a + 2. Determine -3*d(t) + 2*q(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -51041, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -353 - -186?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (-513 - -533)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157)\/(-942) - (-28)\/192.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 1, g: 3, j: 1}. What is prob of sequence gdgj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/5 of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 19*x**2 - 34*x + 383. Let o be u(19). Which is the second smallest value? (a) -5 (b) 3 (c) -3\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 5*o**2 + 0*o**2 + (1 + 2 - 5)*(0 + 0 - o**2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-160)\/(-8)) + 1\/2. Let p = 21\/22 + -41\/66. Which is the third biggest value? (a) -3 (b) i (c) -0.32 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 + 24*c**2 + 217382*c + 2385636 = 0.\nAnswer: -318, -11, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*c = 156, -c + 168 = 4*q - 5*c. Let n = q - 28. Suppose -n + 70 = 2*i. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*d - 5*l, -l = -4*d + 20 + 5. Let k(p) = -5*p + d + 0 - 1 - 5. What is the remainder when k(-3) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -14, 23, -3\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/(-6) - (-5)\/15. Solve 0 = t - 3*m + g, -t + 4*m - 14 = 2*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34818613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -430*s - 48159. What is p(-112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1134 and -111\/670.\nAnswer: 379890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -12442.7651 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 = 9*n - 11*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + 680. Let f = g - 77. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*u - 24, -2*u + 31 = 4*v - 5. Suppose 0 = v*r - 29 - 11. What is the highest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fzhhxgkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -5)\/((-1)\/23). Let k(a) = a**3 - 11*a**2 - 8*a - 47. Let r be k(12). Sort i, 2, r in decreasing order.\nAnswer: 2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u + 506 = 58. What is the smallest value in 5, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275495 is divided by 27548.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30910.071 * 2.\nAnswer: -61820.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59)\/((-3)\/(-174)*(-7 + 5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 - 7*-1. Let w(r) = r - o*r + 3*r + 0 - 2. What is w(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/30 + 2*h**5\/5 + 7*h**4\/6 + 60*h**2. Determine g so that t(g) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 21. Let g = -2 - -5. Solve -g*j = 4 + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -7*f - 84. Suppose 2*w = -3*n + 36 - 12, 42 = f*n - 4*w. Solve 7*b - 3 = -n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 2*f**2 - 24*f + 3. Let p(j) = 5*j**3 + 3*j**2 + 36*j - 4. Let y(a) = 8*g(a) + 5*p(a). What are the prime factors of y(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 29 = 5*c, -4*d + 0*d = 5*c - 21. Suppose -35 = -c*n + 45. Suppose -n - 40 = -4*z. Calculate the highest common divisor of 126 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1902 + 6?\nAnswer: -18da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6130087.\nAnswer: 401, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 526777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 9*k**2 - 6*k - 17. Determine t(-4).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-40) + (-54)\/(-20))*-58. Let t = y + 163. Calculate the remainder when 21 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 18*c + 2. Let a be k(0). Let i = -9 - -14. Solve -2 = a*q - i*s + 6, s - 8 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-20)\/70)\/((12\/5)\/1)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -11. Let g = -8 + x. Put -3, g, -0.3 in descending order.\nAnswer: g, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364.66 take away 7080.334?\nAnswer: -7444.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*r = -306, -4*r - 104 = -3*p + 357. Let i = -98 + p. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 788*q**4 + 418?\nAnswer: 3152*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23791158*x**2 - 23*x - 161566 wrt x?\nAnswer: 47582316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -301032210230 (base 4) in base 6?\nAnswer: -1140332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from jtjtt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26.63477 years?\nAnswer: 0.02663477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 23 - 58*j**2 + 16 - 67*j**2 + 117*j**2 as s*j**2 + f + d*j and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*s - 2*s - 2541 = 0, -2*p - 4*s + 2538 = 0. Suppose -3*u - p = -59984. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/21*(-5)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 134022*l**2 + 2 - 134006*l**2 - 42*l**3.\nAnswer: -42*l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 2121*m - 2*m**2 + 7*m**2 + 2154*m.\nAnswer: 2*m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3280\/30)\/41*(-4)\/(448\/156)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761*y + 111628080 = 797*y. Round y to the nearest 10000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 y when three letters picked without replacement from ffryauay.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 80.81, 14.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172538 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {x: 5, r: 3, m: 9, z: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57684 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/3009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -29, 0.3, -2\/15, -105, -0.335?\nAnswer: -0.335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -1532\nAnswer: -55\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 292\/10 + 2\/(-10). Suppose -q = 0, 5*q + 1 = -5*z - 114. Let n = g + z. Solve n*p + 4 = 7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 92*u - 78*u. Does 5 divide 27*15\/45 + 1 + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 19 = 2*y, 0 = -y + 5*b + 37 - 10. Suppose 0 = -3*v + m + 6, y*v + m - 12 = -v. Solve -v = 8*s - 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.4? (a) 2\/9 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3 - z + 0*z**2 + z**2 - 1. Let m(x) = -5*x**2 + 5*x + 20. Let i(l) = -11*d(l) - 2*m(l). Let p be i(0). Solve p*t - 6 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249535 - -249535. Let i = -12 + 8. Which is the closest to 2? (a) n (b) -3 (c) -0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, -0.14, -42, -13, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -22619 + 22169. What is the lowest common multiple of o and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*u**2 + 1182*u**2 + 1525*u**2 + 26*u**2.\nAnswer: 2917*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20432340 (base 5) to base 13.\nAnswer: -5ca87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 43. Suppose 8 = 4*t + i, 2*t - 4*i - 10 = 12. Suppose 9 = t*u - 6. What is the greatest common divisor of p and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/26754 and 29\/519155.\nAnswer: 21804510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 2153341 + t + 2153341.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116627167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*2 - sqrt(272))*6 + sqrt(272) + -3.\nAnswer: -3 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/20 + 7*a**4\/12 - a**3 + 3*a**2 + a. Suppose -13 - 5 = -3*t. Calculate the least common multiple of h(6) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 - 4 - 3*o + 2*o + 0*o. Let i be t(-6). Let a be (-2 + 0)\/(1\/(-4)). Solve -i*f - 17 - a = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2211*h - 203*h**2 + 205*h**2 + 10 - 2200*h - 24. What is s(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-656)\/(-2624))\/((-2)\/188)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 45 = -q + 2*v, 2*q = 2*v + 108. Suppose 140 = -5*p - 5*k, 3*p + 4*k + q = -28. Which is greater: -32 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -55*d**3 + 6*d**2 + 8*d - 25. Give m(2).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 13*l + 20. Let u be s(-8). Put -1, 1, -2, u in decreasing order.\nAnswer: 1, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -299, -294, -275, -236, -171?\n\"Answer: m**3 + m**2 - 5*m - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*h**3*z + 9*b*h**3 + 2*b*h**2*z + 2*b + 10*h**3*z - 20*h**3 + 66*z - 15 wrt h?\nAnswer: -36*b*z + 54*b + 60*z - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2900*x - 85*x**2 - 2900*x as z + i*x**2 + s*x and give i.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -983.39 rounded to zero decimal places?\nAnswer: -983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -8 - 4*z - 1\/2*z**2. What is f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 15*o + 4*o. Sort 1.1, o, 0.1 in decreasing order.\nAnswer: 1.1, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 6. Suppose 3*h + 5*g - i = 0, 3*h - 3*g = 2*g + 2. List the prime factors of (2 - 14\/h)\/(9\/(-180)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4637908g to milligrams.\nAnswer: 463.7908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 30*h**2 - 26*h + 68. Let w be c(-29). Let y = w + 23. Calculate the highest common divisor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1323) - (-1 + sqrt(1323) + 4)) + -3 + -3 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241057934 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Let a(l) = -20*l - 2 + r + 2 + 23*l. Calculate a(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s - 6. Let m(d) = -230*d - 65. Let q(i) = -6*m(i) + 65*z(i). Let c(x) = 7*x. What is 5*c(h) - 3*q(h)?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2380*w**3 + 20*w**2 + 26*w + 94. Let m be o(-4). What is m rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.74195ng to micrograms.\nAnswer: 0.07474195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -34. Solve -1 = -z*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 15*n**2 - 2*n + 26. Give y(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4543147571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/7))**(-23)*(r\/r**0)\/r**(-2\/5))**36 assuming r is positive.\nAnswer: r**(-18936\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(1008) - sqrt(1008)*-1) + sqrt(1008) - sqrt(1008))*6)**2 - (5 + ((sqrt(7) + 1)**2 - sqrt(7)) + 5*(sqrt(7) + (sqrt(7) - (sqrt(7) + 1))))*-3.\nAnswer: 594*sqrt(7) + 145180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 14. Let j be n(-14). Suppose -3*u + p + 71 + 55 = j, -2*u = -p - 85. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + -5. Let f be -7*(4 - (-330)\/p). Let u(y) = 4*y - 12. Give u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*g**2 + 3*g**2 + 3*g**2)*(2*g - g - 4*g - 2) to the form r*g + q + f*g**2 + m*g**3 and give m.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -1140796.\nAnswer: 47\/285199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -107*f - 270 - 2850 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 20 = 5*g. Let s = g - 17. Is s smaller than 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.900126 litres to millilitres.\nAnswer: 2900.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 73?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - 11)\/(5 - (-12)\/(-30)*10). Suppose -4 = -2*a - 2. Solve u = o + 1 + a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 179 + 1\/3*h**6 + 0*h**4 - 6*h**5 + 23\/3*h**3 - 1\/2*h**2 + 0*h. Find the third derivative of z(m) wrt m.\nAnswer: 120*m**2 - 720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 13417236 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-36))\/(8\/32)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q + 788*q**2 + 70*q - 14 + 18.\nAnswer: 788*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(1053))**2 - sqrt(1053)) + (sqrt(1053) - (sqrt(1053) + (sqrt(1053) + 1 + (sqrt(1053) - (2 + sqrt(1053))))**2)).\nAnswer: -9478 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*j - 9, 5*u - 7 = 2*j + 2. Let d(z) = z**3 - 4*z**2 + 5*z - 2. What is d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + g + 11. Let h(a) = a**3 - 13*a**2 + 1. Let s be h(13). Let x = s - 6. Is w(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4 - n + 3 - 4. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 343733?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4 - 4*j**2 + 3*j**3 + j - 2*j**3 + 0*j**3 - 3. Let s be b(4). Factor 0*p + 3*p**2 - 5*p + 18*p + 27 + s*p.\nAnswer: 3*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7*w = 2*j + 9, 4*j - 52 = 4*w. Suppose q - 2*s = 37, 3*s - j*s - 25 = 0. Let v = q + 179. Is v a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112, -357, -628, -925, -1248, -1597?\n\"Answer: -13*l**2 - 206*l + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.23719453 to three decimal places.\nAnswer: -105.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, -11, 0, -896 in ascending order.\nAnswer: -896, -11, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 4*n**2 - 3*n - 4. Determine x(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2881*p - 1179. What are the prime factors of d(-18)?\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/539 and -62\/21315.\nAnswer: 234465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196560 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = 4*x. Calculate the smallest common multiple of -4 - (1 + (1 - 10)) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66161 - -0.042038.\nAnswer: 66161.042038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:11 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390 <= 4390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.6. Let u(g) = -g**2 + 2*g. Let i be u(2). Let t = -0.4 + 0.4. Which is the nearest to i? (a) -5 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/((-25)\/20)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 3870?\nAnswer: -3870.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23231395 and 26790?\nAnswer: 4465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 3, x = -4*q + 7. Let a(l) be the second derivative of l**5\/10 + l**4\/12 + l**3\/6 + l**2\/2 + 2*l. What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 4*o + 4*o)*(-6 + 0 - 17)*(-19*o + 19*o - 6*o**2) + (2 + o - 2)*(o**3 + o**3 - 4*o**3) to n*o**3 + r*o**4 + c*o**2 + k + b*o and give r.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 70. Let y = 913 - z. Let i = 246 - y. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 2842 = 111*o - 10486 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10407 divided by -3.\nAnswer: 3469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:50 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*b, 6*w = 3*b + 8*w + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198524 divided by -62.\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 254*l - 6642. Is 29 a factor of t(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62035086*d**3 + 6519301*d**2 - d wrt d.\nAnswer: -372210516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(99)*-1 + 2 - ((sqrt(99) - (sqrt(99)*2 + 4)) + (sqrt(99) - (-2 + sqrt(99) + -1 + sqrt(99)))**2 + sqrt(99))).\nAnswer: -104 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 235388112 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, 3, -13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 13695*q - 1001592.\nAnswer: 3*(q - 4637)*(q + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/41788 and -27\/620.\nAnswer: 208940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6 = 3*z. Let h be (5 + z)*12\/14. Let p(c) = -c**3 - 176*c**2 - 4 - 187*c**2 - 6*c + 370*c**2. Determine p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -216. What is the smallest common multiple of w and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/12)\/1*(-324)\/(-1). What are the prime factors of o + (-5 - (3 + -5))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 7 + 13. Let y(t) = r*t**2 - 383*t + 383*t. Let g(n) = -2*n. Determine g(y(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*m - 3 - 3, -2*x + 3*m = -12. Solve -4*u - x = 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-54))\/((-24)\/(-108)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -5*sqrt(108) - sqrt(108) - (0 + -2*sqrt(300))).\nAnswer: -80*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:10 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 + 8.367. Let t = x - 8. What is the nearest to 3 in -4, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c*c**(4\/7)*(c**(2\/3)\/c)**(-2\/49))**39 assuming c is positive.\nAnswer: c**(11323\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 0 + (72 - -82)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 + 8*d + 19. Does 11 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -232.5. Let x = 234 - s. Put x, 2, 16\/11 in descending order.\nAnswer: x, 2, 16\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (4 - (70 + 2)). What is the greatest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3901 and 10126.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*v + 18*v - 2*v**2 + (v**2 - 3*v**2 + v**2)*(1 + 0 + 1))*(3 + 5*v**2 - 3) to r*v**3 + g*v + m*v**4 + i*v**2 + o and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 7*x - 10. Let q(a) = -a**4 - 2*a**3 - 4*a**2 - 10*a - 1. Let d(w) = -w**4 - w**3 + w**2 - w + 1. Let i(h) = x*d(h) + q(h). Factor i(u).\nAnswer: (u - 3)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 - 1582*q + 41*q**2 - 1591*q + 19*q**2 + 3173*q.\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + y + 52 + 12 + 0*y + 2*y. What is v(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 2052*q + 139973. What is m(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1212?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 40. Let h be f(38). Let j(z) be the first derivative of 11\/2*z**h - 9*z - 4. What is the first derivative of j(p) wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53130926*q**4 + 3*q**3 + 1268*q - 218095.\nAnswer: 637571112*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22043*u**2 - 29666*u.\nAnswer: 44086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171588 - -171587. Let f(r) = r - 1. Let q be f(2). Let z(b) = 14*b + 0 + q + b. Give z(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 2, x: 1, u: 7, z: 2, f: 1}. Give prob of picking 2 e, 1 o, and 1 u.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 18 + 6416*q**2 - 6416*q**2 - 18.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16404 and 3540?\nAnswer: -58070160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -27\/19733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20353619, -20353618, -20353617?\n\"Answer: w - 20353620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 137658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 3 + 2*w + 4)*(-125 + 291 - 125).\nAnswer: -41*w + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 55*i**2 + 70*i - 1575. What is u(-25)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 + 0*d**2)*(3*d**3 - 29*d + 13*d + 7*d + 1).\nAnswer: 3*d**5 - 9*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllhchhchjql. Give prob of picking 1 l and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8784503, -8784507, -8784509, -8784509?\n\"Answer: z**2 - 7*z - 8784497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435)\/(-232))\/(6\/(-8)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 159*a + 13478. Calculate t(46).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2\/2 - 183579*z\/2 - 1193517 = 0.\nAnswer: -13, 61206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194910 divided by -3.\nAnswer: 64970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6402204 rounded to 3 decimal places?\nAnswer: -6.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g - 18. Let a be z(-2). Let n(d) = -4*d**3 + 5 + 1 + 3*d**3 + d**2. Calculate n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by 392.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1084883 less than -0.03?\nAnswer: 0.0784883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.2, -0.1, 843, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d - 685 = -1693. Is -28 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/83 (b) -3 (c) -4 (d) 2\/61 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243666 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -76322, 27, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*c + 24, -3*c + 33 = -a + 4*a. What is the greatest common divisor of 54 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) -4 (b) -5 (c) -1 (d) -6\/179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*y + 3506*j**2*y + 90*j*y + 3603272*y wrt j?\nAnswer: -6*j**2*y + 7012*j*y + 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212441863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 14, -3*t - 2*c + 132 = -1730. Calculate the greatest common divisor of 1288 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1209869*v**2 + 94*v - 8. Let w be a(-12). Round w to the nearest 1000000.\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -710945, -710921, -710881, -710825?\nAnswer: -710753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 4*s. Suppose -5*q = 3*i + s, -4*i = 5*q + 12 + 18. What is the lowest common multiple of 10 and 2\/(i\/((-15)\/6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*a + 572, 0 = -2*x + 7*a - 4*a + 285. Suppose 5*j + x = -3*j. What is the closest to -1 in j, -0.2, 2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(20\/72) - 0\/(-2). What is the units digit of a*27\/6 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Let l(t) = t**3 + t**2 - 2*t + 1. Let q be l(w). Let c(k) be the second derivative of -k**3\/2 - k**2\/2 - 2*k. Determine c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/(-234))\/((-2)\/(-102)))\/((-1)\/2)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 5*r + 8. Let u be l(6). Suppose -3*d = u*v - 3 - 20, 2 = 2*v. Suppose -4*i + d*i - 3 = 0. Sort i, 2, 3, 4.\nAnswer: i, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 13*h - 5. Let g be 6\/(-21) - (-80)\/(-14). Let k be t(g). Solve 0 = -m + k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r + 4. Let n = 7 + r. Suppose -v - 4*v + 4*m + 32 = 0, -2*m - 18 = -n*v. Calculate the highest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-12)*6*32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320\/5873 + -22953958\/420630133. Let j = q - 4\/1149. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-219 + 258 + 425*k + 404*k - 119*k**2 - 829*k)*(5 - 3*k**2 - 5) in the form v + z*k**2 + n*k**3 + w*k + b*k**4 and give z.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4053 divided by -7.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/(-14) - ((-14898)\/14)\/(209 + -208)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.016 - -0.116. What is the closest to z in -3\/5, -0.11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l - 52. Let j(b) = b + 1. What is h(c) + 52*j(c)?\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44424 - 211?\nAnswer: -100140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3052 = 4*q + o + 4*o, -3815 = -5*q + 3*o. Let d = q - -371. Let c be 3\/(-4) - d\/(-72). Solve 4*p = 4*u - 15 - 9, -3*u + 2*p + c = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/732135 and 28\/255.\nAnswer: 12446295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -60, 41.\nAnswer: -60, -1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 392 + -387. What is the second derivative of 19*s + 61*s**f + 3 + 58*s**5 - 17*s**5 wrt s?\nAnswer: 2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 93*m**2 + 20*m - 1263. Give v(-47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*t, 0 = -5*p - 3*t + 7 - 39. What is the hundreds digit of (-2 - -12)*2\/p + 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 bigger than 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.5, -0.1, 0, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + -6 - (3 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 5*w + w)*(2*w**2 - 7*w**2 + 3*w**2) + 2*w**3 + 13*w**2 - 3*w**2 - 11*w**2 as s + v*w + a*w**3 + j*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -4 (c) -0.1067 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/6 - 268945*x**4\/3 + 72331950913*x**3\/6 - 24110381360*x**2 + 12055145856*x = 0. What is x?\nAnswer: 0, 1, 268944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 82. Sort -1, -3, c in descending order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -10*q + 11*q + r + 4*r + 14, -2*r = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*g = -2091*g + 152658 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9584 + -9445. What is the remainder when 10006 is divided by o?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) + (-3)\/((-45)\/13746). Suppose -100 = 8*g - i. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -2\/7, -9, 539, -8.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, -3 in decreasing order.\nAnswer: 21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -179*z - 107. Determine a(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 107, 211, 313, 413, 511?\n\"Answer: -r**2 + 107*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = 22*i - 230. Let v(r) = r**2 + 4*r - 7. Let p be v(-5). Let s be i + p - 44\/(-11). Solve s*t = 5*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*r - 252*r**3 + 2 + 0 + 254*r**3 - 67*r as b + c*r + m*r**2 + k*r**3 and give c.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = 2*w + 545. Let s be 2\/(w\/(-117) + -4). Does 13 divide s\/(-4)*(-16)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*y**2 - 3*y + 5*y - 15*y + 12*y - 1580*y**2 in the form c + i*y**2 + w*y and give i.\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*v = 12, 5*v + 1107 - 1111 = 2*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/17887 and -85\/2072.\nAnswer: 37061864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 4 + 8*f - 3*f + 3 + f**2 to v*f**2 + p*f**4 + g + l*f**3 + q*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 + 5672*s**2\/3 - 3875898*s - 624674700.\nAnswer: -2*(s - 4329)**2*(s + 150)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 180, 320, 460, 600, 740?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -104 and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) - (-958393)\/2. Let h = x + -279197. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68249576039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 3988375 - 3987647 = 0 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 193. Let w = -20 + 91. Let c = w + t. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978871511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -491, -1104, -1963, -3068, -4419?\nAnswer: -6016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.1 from 100.7958.\nAnswer: 102.8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + 5*w + 6. Determine r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58\/5 + -12. Which is bigger: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 + 44*x**4 + 152*x**3 + 136*x**2 - 156*x - 180 = 0. What is x?\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 1, a: 2, v: 2, n: 1, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkyiaym. Give prob of picking 1 y and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7120 (base 12) in base 3?\nAnswer: -121211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362.56 - 1.56. Let f = 360.997472 - x. What is f rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10*(7 - 12). Let v(u) = 2*u**3 - 9*u**2 + 13*u - 4. Let c(r) = r**3 - 4*r**2 + 6*r - 2. Determine t*v(y) - 9*c(y).\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 0.5. Let l = 2 - 1.5. Let i = -0.001 + -4.999. Which is the second smallest value? (a) m (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/5 + 82*q**3\/5 - 1247*q**2\/5 - 1682*q.\nAnswer: -q*(q - 58)*(q - 29)*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 44*y + 7. What is the least common multiple of 2 and p(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (56\/(-2))\/2. Suppose -10*t = -w*t + 36. Factor 21*q - 5*q - 3*q**2 - t*q - q + 24.\nAnswer: -3*(q - 4)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1.3, -0.07, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6106045ml to litres.\nAnswer: 0.0006106045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*34\/(-187))\/((-6)\/15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957, -983, -1013, -1047, -1085?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/4 - h**3\/6 - 8. Factor s(v).\nAnswer: v**2*(2*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 0.031.\nAnswer: -0.00868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -21*a - 196. What is the highest common factor of a and 686?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(40)\/sqrt(2)) - ((-6*sqrt(896) - sqrt(56))\/sqrt(8))**2 - ((sqrt(126)\/sqrt(2) + 0)**2 + ((sqrt(448))**2 - sqrt(28)) + 0).\nAnswer: -4886 + 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 3, -39, -3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 5*c + 2. Suppose -199 = 83*h + 133. Determine o(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 132 = -45*g + 41*g, 3*y = -2*g + 21. Solve 645*f = 637*f - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6928 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*p - 71*p**2 - 13*p + 115*p**2 - 44*p to j*p**2 + l + z*p and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-390)\/(-33) - 18\/(-99). Suppose n*r - 7389 = -1977. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqyeyeteetyeeee. Give prob of picking 2 y, 1 t, and 1 q.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126862632?\nAnswer: 2, 3, 13, 45179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let i be 2*((-25)\/(-10) + -4). Let v be (2\/(-8))\/((-2)\/40) + i. Solve 4*q = 3*l - 32, v*l - q - m*q - 23 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 250961 = 851211. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 122928 = -123171 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p + 18. Let f(d) = 13*d**3 + 9*d + 9. Let x(j) be the first derivative of 3*j**4\/2 + 2*j**2 + 4*j + 926. Determine p*x(c) + 4*f(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 142*o + 1207. List the prime factors of n(6).\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*b = -20, 3*u - b + 2 = 2*u. Let w(t) = -t**3 + t**2 - 1. Let k(i) = -8*i**3 + 6*i**2 + i - 6. Determine u*w(f) + k(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3140.55 to the nearest ten.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 161, -1\/3, -2\/13, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 20*u = 18. Suppose 2*g = -u*g + 96. Suppose 3*h = -13 + 40. Calculate the least common multiple of h and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*p - 109*p**2 - 66*p + 459*p**4 + 392*p**2 - 1179*p**4 wrt p.\nAnswer: -17280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:31 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 22.\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m + 70 = 37*m + 46*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 16*m + 5.\nAnswer: -16*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -2\/11, 1.19 in ascending order.\nAnswer: -1, -0.4, -2\/11, 1.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k = 1333 + 1483 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 49*j. Let h(n) = -1110*n + 1110*n + 10*n**2. What is h(k(x))?\nAnswer: 24010*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 7, -1, -13, -29, -49?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) -0.3 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79890 rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 - ((-792)\/(-320))\/(-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 4*d + 4. Let j = -36 + 42. Let v = 14 - j. Calculate the remainder when v is divided by q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*p*s**3*u**3 - p*s**3 - 243*p*s*u + 69*s**3*u**2 - 6*u**3 wrt p.\nAnswer: -6*s**3*u**3 - s**3 - 243*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4042 + -140?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w - 3. Let a(u) = u**2 - 4*u - 2. Calculate 3*a(p) - 2*x(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q + 661. Let y be p(0). Suppose 0 = -i - y + 783. Calculate the remainder when i is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.80093713 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8019\/48 + 0 + 2. Let z = -171 + p. Calculate the common denominator of z and -55\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51908205.2 rounded to the nearest one hundred thousand?\nAnswer: -51900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100732543?\nAnswer: 100732543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f + 4. Let s be o(-5). Let y be (-3)\/2*(1 + -3). Suppose y*u - 2 = 7, k = 3*u - 2. Calculate the highest common divisor of k and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26120.755 - -6665.\nAnswer: 32785.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13710)\/1725 - 4\/(3 - 1). Let i = k - 38\/23. Find the common denominator of i and -57\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = 28*h + 3947. Let a = h - -131. Let v(u) = -u**3 + 4*u**2 + 6*u + 1. Give v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26 - 18 = 0. Suppose 3*c - 13 = 2*f, 0 = 3*f - 0 + 6. List the prime factors of c\/(-2) + (-282)\/h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19343030 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 21*v - 1078. Determine f(44).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8)*q**(4\/7))**(3\/13)*((q**(-7)\/q*q)\/(q\/q**(-4)))**(-2\/159) assuming q is positive.\nAnswer: q**(7573\/38584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 186\/1395*(0 + 222\/(-44)) and 65\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126375?\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 58, 91, 126, 163, 202, 243?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5489589 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -36*k + 214. Determine b(8).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-1\/4)*w*w)**(-1\/29))**(3\/14)*(w**(6\/5)*w*w*w\/(w*(w\/w**6*w)\/w)*w)**(-6\/7) assuming w is positive.\nAnswer: w**(-64257\/8120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 = 3*z - w, -3*w = z + 45. Let s = z + 38. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(39)\/sqrt(3))*-4 + 6*(sqrt(13) - (sqrt(208) + 0)) + 5 + sqrt(13) + (0 + sqrt(13) + -1)**2 + -5*sqrt(52)*-1.\nAnswer: -13*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z + 112. Let l be h(-22). Let o = l + 182. What is the least common multiple of 88 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**4\/7 - 262998*c**3\/7 - 5763732663*c**2\/7 + 1646893476*c - 823465524 = 0.\nAnswer: -43834, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*l - 91*l**2 + 182*l**2 - 88*l**2 + 104*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 4, -8, -2 in descending order.\nAnswer: 135, 4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 39. Let s(q) = -q**3 - 6*q**2 + 2*q + 17. Let c be s(-5). Let z = c - j. Is z less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 3951. Let c(h) = h. Determine w(c(m)).\nAnswer: -m - 3951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3.8, -3, -1\/3, -0.1963?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3242896 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264991.\nAnswer: 7, 13, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 18 + (-7 - 1) + -17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111110 - -10000?\nAnswer: -10010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189666542 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, u: 1, o: 1, r: 3}. Give prob of sequence okk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138106 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((-2*a + 4*a - 3*a)*(-2 - 2 + 2) + 1 - 1 + 2*a + (-4 + 1 + 2)*(0*a + 4*a - 3*a) + (5 - 4 + 3)*(-4 + 4 + 6*a) + 5*a + 0*a + 0*a).\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68124*q + 68175*q - 978 - 858 = 0 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/16 and -37\/68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18316834729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8060 + -271. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16*n - 15*n + 54 = 0, 4*z = -3*n + 98. What is the highest common divisor of z and 1898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)*(-6)\/12. Let o be (-5)\/(-25) - (0 - s). Suppose -181*q + 157*q + 48 = 0. Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:51 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - 138\/(-42). Suppose -165 - 51 = -z*r. Suppose 0 = 3*o + 5*x - x - r, -12 = -4*x. What is the lowest common multiple of 14 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15) + (-110679490)\/(-37236). Let z = -86406\/29 + k. Let x = 3\/107 - z. Find the common denominator of x and 49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Suppose -2*a - a + 4*t - 14 = 0, 5*a + l = -4*t. Let u = 8 - 11. Which is bigger: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73693 divided by 2673?\nAnswer: 73693\/2673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/2 - 357*u**3\/2 - 1049*u**2\/2 + 4617*u\/2 + 2655 = 0.\nAnswer: -354, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 13*d**4\/2 + 8*d**3\/3 - 1034*d - 312. Differentiate x(f) wrt f.\nAnswer: 78*f**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*a + 48895 = -390*a - 3053 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q - 1\/2*q**3 - 7\/2*q**2 + 8.\nAnswer: -(q - 1)*(q + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(64\/11402700) + ((-56)\/32)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-60) + (-8)\/(-48). Let m = -16 - -40. Let t = 24 - m. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -709.34442 + 709.4. Round y to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (952\/(-1360))\/(1\/6*30\/40)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by 1\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2717*f + 5430*f + 0 + 669*f**3 + 4 - 2713*f to the form t*f**2 + x + h*f**3 + r*f and give h.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 4833, 7245, 9669, 12111, 14577, 17073, 19605?\nAnswer: 22179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 20*o - 10. Let u(y) = -y**2 + 6*y + 3. Let v(t) = 3*r(t) + 10*u(t). Let h(q) = 135*q**2. Calculate h(v(j)).\nAnswer: 2160*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37626.96 years to months.\nAnswer: 451523.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 19*j**2 - 43*j - 17. Let l be d(-21). Suppose 2*y + 298 = h + 2*h, 0 = 3*h - l*y - 308. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.81 - 0.4. Let t = b + -0.01. What is t rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/12*(-66)\/308.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21054 = -10*x + 20994 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/(-14) + 4\/14. Calculate the common denominator of (2*-2)\/(277\/(-554)) - (-1 - 5) and x\/((-36)\/226) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(304)) - (2*sqrt(304) + -5 - sqrt(304)))**2.\nAnswer: -480*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -155.3 + 77745550\nAnswer: 77745394.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1023664 (base 7) to base 14\nAnswer: 331a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -5\/2, 0.1, -0.003?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*o**3 - 156210313*o**2 + 156210313*o**2.\nAnswer: 58*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:02 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*m = 2969541 - 344957. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12a0 + 13153?\nAnswer: 143f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/8)\/(15\/12). Suppose -5*y = -2*a - 174, -a - 35 = -j*y + 35. What is the greatest common factor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1293935*b**3*n**2*v**2*w - 56*b**3*n*v**2 - 2*b**3*w - 6086*b*n*v - 2*n**2*v**2 - 4*n*v**2 + v**2 wrt n?\nAnswer: 2587870*b**3*v**2*w - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 0 + 12 + 22 + -22?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 12.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -16, -62, -136, -244, -392?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -7*c + 8*c + 7, 3*c = -5*v + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6056 or 320896\/53?\nAnswer: 320896\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgc when three letters picked without replacement from {g: 1, t: 2, c: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*o + 363, 4*o - 4*w = -7*w + 459. Suppose 6*y - 147 = o. What is the third derivative of -3*b**2 + 25*b**4 - 18*b**5 - y*b**4 + 19*b**4 wrt b?\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 21 = 3*n. Suppose -4*h = -w + 24, 105*h - 100*h = -20. Suppose b = -3*d + w, -7*d = -2*d - 10. Solve b*l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -4. Let z(i) = 2*i**2 - 3*i - 8. Suppose -39 = t - 14*t. Let f(s) = s**2 + 2*s - 1. Let o(y) = t*f(y) - z(y). Determine o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0037 - 0.1037. What is the fourth biggest value in 0.2, h, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 1557*c**2 - 808083*c + 139798359.\nAnswer: -(c - 519)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 31. Let y be g(-18). Suppose h - 10 = -4*w - w, -y*h + 28 = 3*w. Let s(l) = -l. What is s(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074616 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 12575*t**2\/4 - 9875300*t - 49455125.\nAnswer: -(t - 6290)**2*(t + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*w + 100 = 370, 108 = 2*y + w. What is the tens digit of (-2 - y\/4)\/((-1)\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3087 and -237?\nAnswer: 731619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.33901 rounded to two decimal places?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -129. Let v(l) = l**3 + 2*l**2 + 1. Let g be v(2). Which is the second smallest value? (a) -2 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339141 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107457 is divided by 512.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 64*o + 106 = -0. What is the second biggest value in -0.245, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 134*t + 66*t + 538*t.\nAnswer: 470*t + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piiciicccppcccic. What is prob of sequence pip?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - g**2 + g - 12*g**3 + g**4 + 12*g**3 to the form t*g**3 + m*g**2 + p*g**4 + w*g + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8668 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123169227 + 6*s**2 - 10*s**2 + 123169227.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169, 369, 1265, 2519, 4131, 6101, 8429?\n\"Answer: 179*p**2 + p - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 6*m + 6. Suppose 4*s - d - 35 = 0, 0*d - 5*d - 15 = -4*s. Let x be 5\/2*12\/s. Let y(t) = -t**2 - 5*t + 5. Determine x*c(w) - 4*y(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)\/(y*(y*y*(y*y\/y**8*y)\/y*y)\/y)*((y\/(y\/(y\/(y**2*y))*y))\/y)\/(y\/y**3) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -19*d + 16. Let x be w(-10). Suppose -h - y - x = -3*h, 5*h - 5*y = 510. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 554.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**3 - 2*f**2 - 6*f - 10. Let c(i) = -3*i**3 - 3*i - 3. Let u(k) = -11*c(k) + 4*n(k). Suppose -2*y = 3*y - 35. Calculate u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 5*p = 135, o - 15*p - 8*p + 81 = 4*o - 19*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 194886515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from {g: 2, s: 6, b: 7, e: 1, f: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 9 - 1. Suppose -4*n = q - 5*n - 5, 0 = -5*q - 5*n + 15. Put q, -2, -4, h in decreasing order.\nAnswer: q, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 1. Let m(n) = -3*n + 1. Let h(p) = 5*l(p) - 6*m(p). Calculate h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 55 - 29. What is the greatest common divisor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*w - 6. Let q be (24\/(-20))\/((-2)\/w). Suppose g = 3 + 2. Solve 6 = -q*u, 4*u - 3 = g*s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 - 163 = 19*s. Solve 3*d - 3*m - 2 + s = 0, -2*d - 2*m = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o - 2. Let t be d(-2). What is the units digit of t - (-3)\/(3\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -3370, -11350, -26890, -52510, -90730?\nAnswer: -144070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*k**2 - 4 - 20*k**2 + 49*k**2 + 4*k**2 + 0*k**2 - 2*k**2 + 2*k**2 - 2*k + 2*k + (-1 + k**2 + 1)*(-1 + 2 - 2) + 2*k**2 - 2*k + 2*k + 3*k - k**2 - 3*k.\nAnswer: -32*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 22*v**2 + 25*v - 10. Let z be h(25). Let a be z\/(-21)*(1 - -7). What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - z + 3*z + (0 - 4 + 2)*(-3*z - z + 3*z) + (-4*z - 4*z + 6*z)*(0 + 0 + 12) + 2*z + 7*z + 2*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 68 = -26*f - 53 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093186.\nAnswer: 2, 701, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 11*l - 9*l)*(-2*l**2 + 0*l + 0*l) - 2*l**3 - 2 + 2 to the form s + x*l + j*l**3 + w*l**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*c = -93, -c = 3*f + 2*f - 171. Let m = 37 - f. Let g be (m - 2) + (-18)\/(-63). What is the nearest to 0.1 in -0.3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21967, 22366, 22765?\n\"Answer: 399*j + 21568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36780959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (-7 - (-2 - 9 - -3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13204, -13208, -13212, -13216, -13220?\n\"Answer: -4*x - 13200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -7*b**4 - 12*b**3 + 767*b**2 + 552*b - 220 = 0.\nAnswer: -11, -1, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*o = -23, -8*g + 5*g - 19 = 4*o. Let f be (-19 - -21)\/(g\/(-13)). Let r = 34 - -5. Calculate the greatest common divisor of r and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 39. Let z(i) be the third derivative of 81*i**2 + 0 - 1\/24*i**4 + 0*i**3 + 0*i. Give z(h(m)).\nAnswer: -2*m**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101\/4 - -26. What is the biggest value in -8\/27, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w - 6 = 0. Let f be (-32)\/(-3) - 2\/w. Let l(y) = -y + 15. Let a be l(f). Solve 0*q + 4*q + 4 = a*b, -4*q + 4 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 32 = 2. Let s(j) = -j**2 - 6*j. Give s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = -2*s. Suppose -3*h = -s*h - 10. Let k be (-3 - 40\/(-12))\/(h\/(-24)). Solve k*b + 9 = -3*j, 1 = b + 4*j + 13 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Let z(j) = -32*j - 2. What is the tens digit of z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36558 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 3*w**2 + 2*w + 6. Let d be l(0). Calculate the highest common factor of 17994 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let v(d) = -13*d + 6. Let n(u) = -4 + 168*u + 20 - 22 - 71. Let c(q) = 6*n(q) + 77*v(q). Calculate m(c(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 7*g - 2. Let d be x(-7). Let i be 2\/3*45\/10. Let r be ((-2)\/4 + 0)*0\/((-64)\/8). Sort d, i, 5, r in decreasing order.\nAnswer: 5, i, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 19 + (-11 - -8 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (-13 - 2268\/(-147))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + -2 + (-500)\/(-16). Suppose 0*x + n = 6*x. Suppose v = -0 + 1, -x*w - v + 2936 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 1461, 2568, 4167, 6438?\nAnswer: 9561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:29 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let u be -234 - (0 + 1 - -3). Let g = -1907\/8 - u. Which is the closest to -0.2? (a) g (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299.8 - -299. Let j = -63 + 439\/7. What is the smallest value in -1, j, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -55. Suppose 2*w - o*z = -w + 401, -w + 131 = -z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*u - 1 + 125*u**2 - 123*u**2 + 0)*(-10 - 15*u - 3 + 15).\nAnswer: -30*u**3 + 409*u**2 - 39*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - r**4\/12 + r**3\/6 + 121*r**2. What is i(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afpkknknffxnafa. What is prob of picking 1 n, 1 x, and 1 p?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 3. Give z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, c: 2, g: 1, d: 1, k: 1}. Give prob of sequence tz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 20*y - 21. What is the units digit of q(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4021916 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 5422 + 1006. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*z + 155 = 0, -2*s - 4*z + 145 = 47. Calculate the remainder when 241 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 732125\nAnswer: -3\/732125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7908*h**4 + 10261*h**3 + 109930574*h**2 - 2*h wrt h.\nAnswer: -189792*h + 61566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38374732 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 13*b**3\/3 + 448. Let p(n) = 1239*n + 30*n**2 - 1239*n. Calculate p(d(j)).\nAnswer: 5070*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -164253372024+-5\nAnswer: -164253372029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-15) + (-334)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 27. What is the first derivative of 4 + t*j**4 + 15*j**4 - 37*j**4 + 1 wrt j?\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283751044 a multiple of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 28. Suppose 0 = 11*r - 17*r - 42. Let p be y(r). Suppose -14*d + 8*d + 36 = p. Solve -2*u + 4 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.55*-0.2\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159857 to five decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143*z = -1130*z - 34242. Calculate the remainder when z is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448840 a multiple of 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 5*o. Let s be u(-5). Let r = 20 + -17. Suppose 5*m = -4*b + 13, 3*m - r*b + s*b = -3. Which is smaller: -1\/21 or m?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by 124?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Let o(u) = -3 + t*u - u**2 + 5*u - 2*u + 3*u. Determine o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*u, -f - 2*f = -4*u - 35. Suppose s - 109 = -f*y + 82, -75 = -2*y + s. Put 4, y, 1, 0 in decreasing order.\nAnswer: y, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7028 - 1131. Let p = -5929.23 + l. Let u = p + 32. What is u rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 - 4 = -5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 4*o**2 + 4*o + 3. Let z(s) = -s**3 - 4*s + 697*s**2 - 698*s**2 + 3*s. Let q(d) = m(d) - 5*z(d). Factor q(n).\nAnswer: 3*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -48?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 + -3)) + 12 + -16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s**2 - s)*(-15*s**2 - 1 + 1) + (2*s**3 + 2*s**3 - 2*s**3 + (0*s + 3*s - s)*(-2*s**2 + 4*s**2 - 4*s**2))*(-4 - 3*s + 4).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 450604823 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -141? (a) -90\/11 (b) -4 (c) 4 (d) 2 (e) -2\/5 (f) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 158*u - 157*u - 3*u**2)*(-3 + 3 + 3*u + (2 - 2 - 1)*(-u + 2*u + u)).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9415 is divided by 2330.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 15*y = -98691 + 98722, 44 = -5*b + 4*y for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 divided by 24?\nAnswer: 471\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -602, 6?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -103. Suppose -20 = -5*x, 4*r - x - 372 = b*x. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.92 - -0.08. Which is the biggest value? (a) m (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14958074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1763, -3265, -4767?\n\"Answer: -1502*a - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 803948, 3218345, 7242340, 12875933, 20119124?\n\"Answer: 804799*f**2 - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-8\/17)*(o**(-1))**(1\/18))\/((o\/o**(-2\/5))**(-9)*(o**(-1)\/o)**(-4\/9)) assuming o is positive.\nAnswer: o**(18553\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 214*p - 259. Calculate c(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.45 + -55.45. Let s = -52.9 - u. Let w = -3 - -2.98. Which is the closest to -0.1? (a) s (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*j = 121*j + 4. Let f(q) be the second derivative of 9*q**5\/20 + 7*q**4\/12 + q**3\/3 + q**2\/2 + q. Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s**(-3)*((s**(2\/11)\/s)\/s)\/s*s\/(s*(s\/(s*s\/(s\/(s*s**2*s))))\/s) assuming s is positive.\nAnswer: s**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*a + 2674217 = -230*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-4))\/((6\/(-38))\/(1464\/(-6954)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 take away 696?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2. Let y(h) = -427613*h**2 + 234 - 427617*h**2 + 855228*h**2. Determine y(t(b)).\nAnswer: -162*b**4 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/6)*y**(3\/14))\/(y**11\/(y*(y**4*y)\/y*y)))**(1\/12) assuming y is positive.\nAnswer: y**(-83\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.43 + -31.69. Let m = -30 - v. Let n = m + 4.74. Sort n, -3, 0.2 in ascending order.\nAnswer: -3, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -122.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8111 (b) 2\/89 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/33731 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmcmsjeecvse. What is prob of picking 2 s and 1 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-18 + 36 - (4 + (-8 - -10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = -0. Let f(r) = -r + 1. Let a be f(g). What is the second derivative of -3*p + 3*p - 5*p**a + 0*p - 3*p wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from tppppppppppppptptppt?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -604 or -673?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccjccjcjjcccc. What is prob of picking 3 j?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*s = 3820*s + 599*s + 302346 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.7, -3, 3 in ascending order.\nAnswer: -3, 3, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/5 - (-117)\/195. Solve -2*j = 4 - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 302*t - 11. What is the remainder when u(1) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2837*q - 777 = -2858*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -616*z + 1. Is b(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/6 + 15*m**2\/2 - 3*m. Let h be o(-11). Suppose 5*v - 92 = h*u, 32 = 2*v - 4*u - 12. Solve 3*k + k = -v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 35. Calculate the least common multiple of 6 and x(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/92975?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -8 in ascending order.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x + 43. Let u be b(-3). Put 13, -2, u, 3 in decreasing order.\nAnswer: 13, 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from karukrrrrarqrr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r**2 - 42*r + 731. Let p be g(12). Put 26, 5, p in ascending order.\nAnswer: p, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 33, 7, 1\/4 in increasing order.\nAnswer: -3, 1\/4, 5, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259506 is divided by 796?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -7*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/(w\/(w**(-4)*w))*w**(3\/2)\/(w\/(w**(-2)*w)) assuming w is positive.\nAnswer: w**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105)\/(-12) - 5\/(-4). Suppose 32 = -z*s + 2*s. Sort 0, s, 3.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:26 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let o(n) = 17964*n**2 - 2. Determine z(o(s)).\nAnswer: 17964*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -594.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*p + 12, -2*k + 2*p = -4*k - 8. Let i = 6 + k. Sort -3, i, 5 in increasing order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*z**3 + 2*z**2 - 2*z**2.\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 493936 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2. Suppose -2*g = -6*g - 3*q + 457, 2*g + 2*q = 230. Let z(m) = g - 112 + 2*m. Give p(z(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/9 - 36988*j**2\/3 + 332878*j\/9 - 73972\/3 = 0.\nAnswer: 1, 2, 55479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*o**2 - 549158*b*o + 677*b - 3*o**2 - 2*o - 1723 wrt o?\nAnswer: 2*b*o - 549158*b - 6*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-40) - 614\/(-8). Let m be ((-10)\/2)\/((-2)\/(-6)). Let u = k - m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*x - 21, -2*s + 2 = 4*x - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*j - 10, 1 = 5*j - 4*g - 1. Let b(a) = 29*a**3 - 9*a - 9. Let u(w) = 18*w**3 - 7*w**3 - 4*w**3 - 1 - 2*w - 1. Calculate j*b(f) - 9*u(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 26 + (-15 - -12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 + w + 4. Suppose 0 = -116*p + 115*p - 4*k + 4, 2*k = -p + 4. Calculate z(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - 2*k**2 + k**2 + 7*k**2 + 2*k**2 - 29*k to a*k**2 + c*k + v and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t - 132. Let o be t + (-2 - (-2 + 4)). Suppose -3*n + 64 = -o. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(36)*-3) - sqrt(52)\/(2*sqrt(100)).\nAnswer: -19*sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -17, -3, -3\/5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65348 is divided by 179.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z + 25 + 15. Let u = 1.3 + -0.8. Which is the second smallest value? (a) z (b) u (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10462 is divided by 10411.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.451189 rounded to two dps?\nAnswer: 105.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 + 541?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294010460 a multiple of 2260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5039347884.\nAnswer: 2, 3, 19, 41, 59, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 57*c + 205. What is z(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 10*j + 12. Let p be f(-8). Let a be 5\/((-10)\/4) + 2. Let s be 4\/2 - (-170)\/85. Sort s, a, p, -5 in ascending order.\nAnswer: -5, p, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -93. Let b(f) = f + 27. What is the remainder when 115 is divided by b(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b + 153*b + 4245 = 350 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/814405, 270, 0.6, 0.5?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from othooig. What is prob of sequence thg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -620456, -1240890, -1861324?\nAnswer: -2481758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 + 2754*o**2\/7 + 1264086*o\/7 + 193405158\/7 = 0. What is o?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2347598, -4695207, -7042816, -9390425?\n\"Answer: -2347609*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)*b*b**(4\/9)*b*b\/b**3*b**(2\/23) assuming b is positive.\nAnswer: b**(841\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/17)*(d*d\/(d*d*d**(-7\/4)))\/d*d)\/((d**(-7)\/d)\/(d\/(d\/d**23))) assuming d is positive.\nAnswer: d**(2307\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i + 5*x - 2*x, -3*i + x = 7. Let f be -3*1 - (-11 - i). Suppose -a - f*h = -0*a - 29, 0 = -3*a - 3*h + 42. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Suppose 0 = -2*a - k*a - 2150. Round a to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.07, -656\/47 in descending order.\nAnswer: 0.1, -0.07, -656\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**2 + 1597 + 1601 - 3198.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 4830, -3 in decreasing order.\nAnswer: 4830, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/13 + 30*j**4\/13 - 132*j**3\/13 + 232*j**2\/13 - 144*j\/13 = 0. Calculate j.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4086 and 12.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34448 take away 101343.9?\nAnswer: -135791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 0*g = 162. Calculate the remainder when g is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6462421 is divided by 740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 2*m**3 + 3*m**3)*(679*m + 43*m - 145*m).\nAnswer: 577*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3773 and 2744588.\nAnswer: 19212116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1 + (-3)\/(15\/110)). Suppose n*j - 6836 = -695. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5 - -34.3. Let f = -23 + s. Let r be ((-2)\/(-22))\/(-22 - (-729)\/33). Is r >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 111. Let l be 697\/136 - 1*c\/8. Solve 0 = -h + 3 - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 49 = 17. Let f(o) = 8*o**3 + 3*o**2 + 4*o - 5. Is f(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 38 = -22. Calculate the greatest common factor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.295806 and 0.\nAnswer: 0.295806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/17440 and -167\/39240?\nAnswer: 156960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, b: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 + -1)\/(372\/(-292516))?\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310\/47 >= 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyu when four letters picked without replacement from uyyuuyuyyy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Let t(y) = y**3 + y**2 + y + 11. Give t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461615 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffvf when four letters picked without replacement from fvfvvf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.14 - 28.94. Let m be 4\/(-6) + (-12)\/(-45). Sort 0.1, m, t, -2\/3 in ascending order.\nAnswer: -2\/3, m, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-359)\/1077*((-8)\/18)\/(-2)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797615?\nAnswer: 5, 7, 13, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*f = 6, 0 = 2*h - 5*f - 14 - 5. Suppose -y + w + 35 = 0, 187 = 5*y + w - h*w. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -f. Let t = -3001 - -3004. Solve 0 = 3*a - 0*a + t*y, 0 = -f*y + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*t - 20, -2*t = -h + 3*h + 44. Are -23 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*q - 2 = 0. Suppose -6*b = -5*b + q. Put -2, -4, b in descending order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-12))\/(6\/8). What is the third derivative of 54*k**3 + 7582*k**u - 18*k**3 - 7686*k**2 + 73*k**3 wrt k?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 27*g - 152. Let m(o) = -o**2 + 7*o - 1. Calculate -l(i) + 4*m(i).\nAnswer: -2*i**2 + i + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + l - 5*l)*(4*l - 5*l + 3*l) + l - l - 2*l**2 + 2*l**2 - 7 + 0*l**2 - 4 as f*l + n*l**2 + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 941784535*d**5 - 559*d**2 - 76257*d - 7?\nAnswer: 56507072100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 5*t + 6. Let g be s(-6). Suppose g = q + 5. Let a(n) = -n**2 - 6*n - 7. Determine a(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 8*f**3 + 0)*(310*f - 9 + 4 + 5) as u + i*f + v*f**4 + o*f**3 + j*f**2 and give v.\nAnswer: -2480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {l: 2, r: 1, w: 1, p: 1, h: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 4, e: 10, b: 4}. What is prob of picking 1 l and 1 m?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3324780 and 59\/1692?\nAnswer: 3324780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + 3. Let l be v(-7). Suppose -p - 2*h - 12 = -l*p, 4*h = -16. Solve 1 = p*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39090 (base 11) to base 2\nAnswer: 1101101011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q + 30 = 0. Let n(o) = o + 9. Let b be n(q). Let v(m) = -22*m - 337. Let g be v(-16). Solve 10 = -y + x, 2*x = -b*y + x - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 3*p - 14, -p + m + 4 = 0. Let n = p - -2. Suppose -x = -5*i + 49, -i + x = -x - n. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/149 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 826320917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 2. Let h(w) = -288*w + 704. Calculate -704*f(x) + 2*h(x).\nAnswer: 128*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 24 = 13*k. Solve 2*y = 6*y - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651108 is divided by 663.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 6\/(-3) - -6886. Suppose 0 = p + 2*q - 1563, 2*q + a - 633 = 4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/p**(-2\/19))*(((p\/(p*p*p**(7\/5)*p*p))\/p)\/p*p)\/p assuming p is positive.\nAnswer: p**(-618\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 + 2*w - 2. Let s be a(-3). Let m = 284 + -296. Let i = m + 31. Is s >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 30 - 7\/30*w**5 + 0*w + 0*w**3 + 1\/6*w**4 + 2*w**2 - 121\/60*w**6. What is the third derivative of b(l) wrt l?\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x - 218 + 115 + 105. Determine m(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.016333.\nAnswer: -0.016333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/27 - 2\/9. Suppose -7*l - 45 = 2*l. Let c(i) = -i**2 - 10*i - 6. Let r be c(l). Solve -x - 14 = -0*x - 3*d, j = -4*x - 3*d + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 - 11602*d**3 = 0.\nAnswer: 0, 5801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 1.2. Let l = 22 - 18. What is the nearest to y in -0.1, l, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = 3*n - 23, -3*n = -5*p - 5. Let c(q) = q + q**2 + q**2 - q**p. List the prime factors of c(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + x)*(-7916 + 716 - 8392)*(3 - 3 + x) in the form k*x + u*x**2 + l and give u.\nAnswer: -15592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 4233164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258 - 160. Let w = m + -98.114. Let h = -0.009 + w. What is h rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s**3 - 10*s**2 + 139*s + 71577 wrt s.\nAnswer: -15*s**2 - 20*s + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 8*j + 3. Suppose 3*z - 3*b - 2*b = -38, 34 = -5*z + b. Calculate k(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454898?\nAnswer: 2, 19, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**4 + 5*s**3 - 5*s**2 + 5*s + 1. Let d(x) = 2*x**3 - 2*x**2 + 2*x. Let j(i) = 10*d(i) - 4*o(i). What is the first derivative of j(h) wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212300022 (base 4) to base 16.\nAnswer: 126c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2 - 1358596*y - 1358600 = 0.\nAnswer: -1, 339650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (7 + (-2 - -58)\/(-8)). Let j(i) = i. Let o(h) = -4*h + 1. Let n(m) = 8*m - 3. Let b(k) = -2*n(k) - 5*o(k). Give z*b(v) + 7*j(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -2*w = 3 - 53. Let v = w + -22. Solve -3*f + m = -v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-399145)\/150*(-2)\/12. Let x = s + 23\/90. Let m = -425 + x. Find the common denominator of -89\/10 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose 0 = -2*l - n + 1 + 4, -a*l = 4*n - 12. Calculate the least common multiple of (-10)\/(-36)*46 + (-20)\/(-90) and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12690, -25341, -37954, -50529, -63066, -75565, -88026?\n\"Answer: 19*x**2 - 12708*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 4*i**2 + 2*i + 2. Let y = -20 + 46. Calculate the remainder when y is divided by v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/43))\/(u*u\/u**(2\/7)*u*u))\/(u**(-22)*u*u**(2\/7)\/u) assuming u is positive.\nAnswer: u**(815\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296464 + i + i - 296186)*(5*i - i - 5*i).\nAnswer: -2*i**2 - 278*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76.482 and 0.1.\nAnswer: -76.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.565312 to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4283, 4647, 5011, 5375?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -431, -864, -1295, -1724, -2151, -2576, -2999?\n\"Answer: p**2 - 436*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 59. Suppose z*l - 14 = 10. Let h = -69 + 84. What is the remainder when h is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 483\/(-207)*(-15)\/7. Let c = -12 - -8. What is the units digit of g\/c + 798\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.06. Let a = 92 - 92.4. What is the nearest to a in 3, -4\/7, u?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5348 is divided by 446.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 798*p + 15110. Calculate k(-19).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7230\/7679?\nAnswer: 7230\/7679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 1566 - 1494 = 0. Suppose 4*l + 8 = 4*d, 2*d = 5*l - 2 + 12. Is (d + (-1)\/(-3))*r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5 + 1. Determine v so that -m*v + 4*v + 1 - 2*v**3 - 6*v**2 - 2*v + 3*v**5 + 5*v**4 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 1. Let r be z(-3). Let b be (-1)\/r - 111\/(-12). Suppose -4*g = 4*h + 4, -5*h = 3*g - 2*g + b. Sort g, 2, 5 in ascending order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725260?\nAnswer: 2, 3, 5, 53, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m - 34*m - 25*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 5*q + 2. Let p be a(-5). Suppose -8 = -p*t - 0. Solve -8 = t*m - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7296 - 7296 - 843*v to the form u + h*v and give h.\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 20?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 22, 0, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -14. Let c be (-26)\/(-40) + l\/12. Is c equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -955*d - 1907. Let w be o(-2). Sort w, -19, -2, 0, -3 in descending order.\nAnswer: w, 0, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2213*k**3*n**2 - 3*k**3 + 2*k**2*n**2 - 2*k**2*n - 4004*k**2 + 5163*k*n**2 + 226*k*n wrt n?\nAnswer: -4426*k**3 + 4*k**2 + 10326*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 10*n**2 + 159*n - 227. Let o be l(-19). Which is the nearest to -1? (a) o (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2700 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 2 = 2*u. Suppose -48 = 129*s - 123*s. Is 1438\/14 + s\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 63 - 63 - 2*r**2. Let v(y) = 3*y + 1. Determine o(v(k)).\nAnswer: -18*k**2 - 12*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454695.\nAnswer: 3, 5, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2041, -4114, -6187, -8260?\nAnswer: -10333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 - -91 - (-1 + 20)) + (-5 - (3 + -10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(15)\/(1*sqrt(3)) - sqrt(25)\/(sqrt(10)\/sqrt(2))) + -1)**2.\nAnswer: 2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 8*r = 113, 3*k - 3*k - 5*k - 2*r - 47 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12714*r**2 - 4525*r?\nAnswer: 25428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 - 758\/3. Let v(o) be the first derivative of 0*o - 4 - k*o**2 - 1\/6*o**4 - 4\/9*o**3. Determine z so that v(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 - 8\/(-4). Suppose o + o = h. Find the third derivative of 3*b**2 + 4*b**2 - 2*b**5 + o*b**3 + 0*b**3 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4 - 200*v**3 - 2266*v**2 wrt v.\nAnswer: -24*v - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -55, 0, -4, 6, 4 in decreasing order.\nAnswer: 14, 6, 4, 0, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -1\/60*f**6 - 1\/6*f**3 - 15*f**2 - 1 + 0*f + 1\/24*f**5 + 7\/48*f**4. Find a, given that v(a) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7989 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*y + 8*y + 70, 2*y = -3*p - 56. Calculate the least common multiple of 70 and 14\/(-4)*y*(-10 + 11).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/341, -0.1, 14\/13 in decreasing order.\nAnswer: 14\/13, -2\/341, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 114 - -215520?\nAnswer: 215634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 92554.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 856*a - 9. Let c(o) = -240540*o + 2532. Calculate -3*c(u) - 844*t(u).\nAnswer: -844*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -55*x**3 - 3*x**2 - x. Calculate q(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2351, -4862, -7373, -9884?\nAnswer: -12395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 - -554. List the prime factors of l.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 356?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 - 121*n + 167*n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1652002 and 2222.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -6 - (6 - 6). Suppose -5*b = -3*x + l + 31, 27 = 3*x - 3*b. Solve -3*s + x*c + 11 = 0, -3*s - 2*s + 1 = 2*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.341482 and 21.09?\nAnswer: 7.20185538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 21, -1, 2 in descending order.\nAnswer: 21, 10, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 230*n + 5827. Calculate d(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 4092003187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -15 + 43. Let a(h) = 2*h + 3*h - h**2 - 2 - 2*h. Determine a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4 - 2030*z**3 - 237045*z**2 + 11180270*z - 21396200 = 0.\nAnswer: -124, 2, 35, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16873315, 33746630, 50619945?\nAnswer: 67493260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*n)*(-4 + 2 - 1) + (0 + 0 - 1)*(0*n + 0*n + n) - 1 + 1 + 2*n + n - 4*n + 5*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**4))*(b\/(b\/b**(-6)*b)*b)\/b*(b\/b**(-3))**(-6\/13) assuming b is positive.\nAnswer: b**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13926 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 19*k - 52. Let d be v(-16). Which is the second smallest value? (a) 1.85 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 321, 317, 311, 303, 293, 281?\n\"Answer: -m**2 - m + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57872*c + 804 - 270 - 261 - 273.\nAnswer: -57872*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/(-5) - -1)\/(3\/15). Suppose -9 = -3*r + 3*u + 30, 65 = 5*r + u. Let y = -8 + r. Solve -2*w = y*m - 10 - 0, 2*w = 4*m - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urabaibgi. What is prob of picking 2 b, 1 i, and 1 a?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*m + 206*m + 7*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23131, 46458, 69985, 93712, 117639, 141766?\n\"Answer: 100*g**2 + 23027*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**2 + o - 15. Let l = 29 + -28. What is s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 44426483*b**2. Let p(n) = 4*n**2. Calculate p(m(g)).\nAnswer: 7894849566997156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/101 - 157\/1515. Sort 24, 0, p in ascending order.\nAnswer: p, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2020183 litres in millilitres?\nAnswer: 202.0183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*2 + (-2)\/((-8)\/(-63)) and (-6)\/(-10) - (-1)\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*b - 824 = 0, 0 = -s - b - 2*b + 154. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -a + 2*a. Let h be ((-12)\/a)\/(6\/15). Sort 1, h, -2\/23 in descending order.\nAnswer: 1, h, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -3\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 23 (c) 1\/10 (d) 12.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 16*b**2 - 22*b - 31. Calculate i(17).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 = -74*f - 211. Let h(d) = -4*d + 3. Let i(a) = 2*a - 1. Let q(u) = -6*h(u) - 11*i(u). Calculate q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-15))\/(-9))\/(10\/120)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Suppose -6 = -8*g - 4 - 2. Let q(v) be the second derivative of g - 3\/2*v**2 + v**3 + 7*v. What is q(s) + 4*r(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 50*w + 4. Let k(n) = -16*n**2 + 101*n - 7. Let h(q) = 4*k(q) + 7*v(q). Let y(x) = -2*x**2. Determine y(h(s)).\nAnswer: -2*s**4 + 216*s**3 - 5832*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.5, -16\/3, -6 in ascending order.\nAnswer: -6, -16\/3, -0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 56. Let i = c - 8. Solve -i = -k - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/6 (b) -18 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.439 - -5.377. What is z rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w - 15 = 0. Suppose 18 = w*h - 7. Suppose 0 = 3*c + 2*y - y - 16, -h*y - 40 = -5*c. Solve 0 = 5*b + c + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116820?\nAnswer: 2, 5, 19, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkkfffkkfbkfkcfkf. Give prob of picking 2 k.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*w - 816*w + 448*w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690593, 1690689, 1690785, 1690881, 1690977?\nAnswer: 1691073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: e4ed (base 15) to base 10\nAnswer: 48373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r + 177 = 259. Suppose 60 = -9*u + 4*u. Put 1, r, u, 4 in descending order.\nAnswer: 4, r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - -0.31. Suppose -l + 3 - 11 = -2*v, 0 = -2*l + v - 10. What is the closest to j in -3\/4, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*5\/(-420))\/((-486)\/19845)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169690 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/13))*l)**(-46)\/(l*l*(l\/(l\/((l*l\/l**(2\/25))\/l))*l)\/l)**43 assuming l is positive.\nAnswer: l**(-58057\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9552853 to the nearest integer?\nAnswer: 3091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177 and 1?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6629272 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (10 + -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(((-30)\/(-16))\/(381\/508))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h + 2. Let b be ((-2)\/3)\/((-5)\/90). Let x = b + -6. What is the smallest common multiple of x and j(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135634573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**0*o*o)\/o))**(-2\/53))**44\/((o*o\/o**1)**31)**(4\/5) assuming o is positive.\nAnswer: o**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 204, 307, 410?\n\"Answer: 103*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1264120 - 4?\nAnswer: -1264124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 11 - 7*q**3 + 11.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - a24a606?\nAnswer: -a24a615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(54)*-4)\/sqrt(2) + 5 + (5*sqrt(54)\/sqrt(2))**2.\nAnswer: -24*sqrt(3) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-30)\/35*(-494)\/3. Let x = m - -1781. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 7*z + 9. Let t be n(6). Let o = t + -4. Let a = 4 - o. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -4)*1\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1834.7\nAnswer: 1836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -30, 4 in decreasing order.\nAnswer: 62, 4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*f\/f**(-4\/9)*f**(-2)*f**(-6) assuming f is positive.\nAnswer: f**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392812 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 = -4. Let x = n + -3. What is the third biggest value in -3, x, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220012010 - -10?\nAnswer: -2220012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 2*p**2 - 3*p**2)*(-4 + 4 - 2*p) - 1079*p**3 + 1949*p**3 - 1786*p**3.\nAnswer: -914*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -35*c**8\/48 - 17*c**7 - 1621*c**6\/24 - 112*c**5 - 545*c**4\/6 - 40*c**3 - 101*c**2. Suppose q(f) = 0. Calculate f.\nAnswer: -12, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 21*g + 5. Let j be d(21). Let o = 29 + -32. Put 40, j, 2\/3, o in ascending order.\nAnswer: o, 2\/3, j, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136 - 4*w - 319 + 3*w + 52 as h + y*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -5 (b) -0.2 (c) 1\/2 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-96)*(-3 - (131 - 3)) and -91\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11843, 11847, 11851, 11855?\nAnswer: 11859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192189 is divided by 493.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhq when four letters picked without replacement from qhhqqhhqhqhhhh?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 - 61*b**2 + 339*b - 495 = 0 for b.\nAnswer: 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 10 + 16*p + 10 to the form d*p + m and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274406 is divided by 1274328.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120c8275 + 5?\nAnswer: 120c827a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3 - -1)\/2. Suppose -2*q - f = -9, c = q - 3*q - 4*f + 18. Solve b + q - 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 41 = 5*t, 0*t + 5*t + 3*r - 37 = 0. Let a = t + -4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 1668137?\nAnswer: -1668141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01528507523 rounded to 7 dps?\nAnswer: -0.0152851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 1, v: 3}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15680733, 15680741, 15680749, 15680757?\nAnswer: 15680765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.59 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -603*u + 744*u - 2538 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -27781 - 21162. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*h - 125, 3*h - 34151*x + 34153*x - 115 = 0 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w - 210 = -27*w. What is the remainder when 102 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1254*x**4 + 1144*x**2 - 8926694?\nAnswer: -5016*x**3 + 2288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -41*l + 181. Let t be k(17). Let b = t - -533. What is the least common multiple of b and (-61)\/(-7) - 4\/(-14)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:48 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1311220 + -10?\nAnswer: -1311230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**3 + 0 + 55*i - 11\/2*i**2. Let l(q) = -6 + 0 + 0 - 3*q. What is -4*h(c) + 7*l(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49181*j**3 + 6*j**2 + 6*j - 24070 wrt j.\nAnswer: 295086*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4594370 rounded to the nearest 10000?\nAnswer: -4590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 21562599.\nAnswer: 21562598.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-2)*g)\/g))**(10\/3)*(((g**(1\/4)*g)\/g)\/g)**(-17))**50 assuming g is positive.\nAnswer: g**(2275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let z(y) = 4*y - 10. Let a(o) = -o - 8. Let t be a(-11). Give t*z(f) + 10*u(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2259 <= 0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:59 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*t = 351*t - 9*m - 33, 0 = -3*t - 3*m - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -6*i + 74, -112*i + 26 = -k - 108*i for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -44*c + 3 - 1 + 46*c + 2. Give b(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 2, p: 8}. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*m - 12 = 0, -3 = 2*f + 3*f + 4*m. Let n(z) = 2*z + 22. Let a be n(-9). Sort f, 0, a.\nAnswer: f, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-80)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 10717?\nAnswer: 117887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 37*s + 263. Let p be j(16). Calculate the highest common divisor of 10797 and p.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*q**3 + 359*q**3 + 2 - 198*q**3 + 4*q**4 - 2*q to p + b*q**4 + r*q**3 + k*q + z*q**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6705 + -2798. List the prime factors of w.\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 3*n**2 + 3*n - 3. Let m = 4 + -2. List the prime factors of p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3393 = 2*a - 639. Suppose -14*d + a = -7*d. Is 48 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10072)\/(-28) + ((-100)\/35)\/(-10). What is the greatest common divisor of s and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -116856 (base 9) in base 6?\nAnswer: -1303123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2. Let c(y) = 9*y**2 - 7. Calculate c(b(q)).\nAnswer: 81*q**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i*z**4 + 158*i*z**3 + 4514*i wrt z.\nAnswer: -20*i*z**3 + 474*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55821708.\nAnswer: 2, 3, 1550603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 24*j - 41*j + 19*j + 3. Let r(v) = -3*v - 4. Give -3*r(t) - 4*s(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 227\/46404?\nAnswer: 227\/46404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 27. What is the derivative of -2 - 6*x**y - 5 + 0 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 2704*s\/5 + 8094\/5.\nAnswer: 2*(s - 1349)*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157637 to the power of 1\/2, to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = -3*l + 5*l, -3*a + 3*l - 21 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(364\/2436) + 24)*2*1\/(-6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3 + 0*a**2 + 3*a + a**3 - 7*a**2 + 0*a. Suppose 4*g - 3*w - 34 = 0, 2 = -3*w - 4. Let z be l(g). What is the greatest common divisor of 27 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563904829 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5 - 537*w**4 + 12496*w**3 - 94872*w**2 + 246640*w - 205200 = 0.\nAnswer: 2, 10, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/22 + 14*o**3\/11 + 147*o**2\/11 + 18*o. Factor d(w).\nAnswer: 6*(w + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 8 = -32*l. Let d(z) be the second derivative of -2\/3*z**3 + 2*z + 5\/2*z**l + 0. Let p(s) = 6*s - 8. Determine 8*d(o) + 5*p(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q - 2*z = -20, 0 = z - 2. Let t(h) = 10*h**2 - h**3 + 62*h + 69*h - 139*h - q. Determine t(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 3*t**2. Let y be b(-2). Suppose 3*w + 25 = a, 3*w + 55 = y*a - 0*a. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.35 - -0.35. Sort 0.4, y, 4 in descending order.\nAnswer: 4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1371, -2707, -3975, -5139, -6163, -7011?\n\"Answer: 6*a**3 - 2*a**2 - 1372*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412463 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255149628 by 63787407.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-3\/8)))\/m**(2\/9))\/(m**(2\/3))**(16\/7))**23 assuming m is positive.\nAnswer: m**(-24587\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y = -51*y - 4*p + 48, 6*y - 7*p = 5*y - 84 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 103 + 91 = 0. Suppose -38*a + 41*a = h. Solve -2*l - l + t + 17 = 0, 4*l = -a*t + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 43\/45)*5. Let i = 58 - 58.5. Which is the second biggest value? (a) v (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1981648857 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*a + (-1 - 2*a + 1)*(-3 + 2 + 2) + 3*a - 4*a + 2*a - 6*a + 2*a + 2*a + (-9 - 4 + 3)*(3 - 6 + 1)*(-33*a + 30*a - 60*a).\nAnswer: -1265*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 3*l + 0*l + (2 - 3 + 0)*(2*l - 3*l + 2*l) + (1 + 0 + 1)*(l + 2*l - l) as t + p*l and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110303010303 (base 4) in base 14?\nAnswer: a1cca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.122 - -0.122. Let u be 45\/(-39) + 0 + 1. Is u greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20431887, -40863753, -61295625, -81727509, -102159411, -122591337, -143023293, -163455285?\nAnswer: -183887319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -61924?\nAnswer: -61924.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. What is the highest common divisor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 4.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - -4) + 4 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 - 3*m**3 - 1 + 4*m**3 + 2 + m. Let p be w(6). Let c(t) = t**2 - 8*t + 10. Calculate c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 - 7*w**2 - 32*w - 91. Determine d(-3).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and 3\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 44, -119 = 2*n - 3*v - 181 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/9396 and 55\/28188.\nAnswer: 28188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -77. Let l = -12 - y. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -225222 (b) -0.4 (c) 5 (d) -1\/5 (e) -5\/4 (f) -3 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1314 and 582.\nAnswer: 127458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70383889 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10 = -v, 0 = n + 5*v + 40 - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/13*o - 2\/13*o**3 + 6\/13*o**2.\nAnswer: -2*o*(o - 2)*(o - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(42*-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 177.\nAnswer: -5.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -84 + 124 + (0 - 12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 1. Let j(i) = i - 6. Determine 10*h(c) - 2*j(c).\nAnswer: 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -883 + 897. Let a = 264 + -51. Let p = a - 143. Calculate the greatest common divisor of c and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j + 40. What is the tens digit of b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-i + 0*i + 0*i + (-3 + 3 - 4*i)*(1 + 0 + 1)) + 12*i + 2*i + 8*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -6. Let i = c - -8. Let p = 4.9 - i. Put -2, p, -4 in ascending order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 91*o + 4179. Let v be z(-45). Solve -66*q = -45*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*7\/(-21))\/((-45)\/162)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 7691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -5 (c) 0.007 (d) 1.872 (e) 2\/13 (f) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 186. Let f(n) = 233*n - 1. Give f(k(t)).\nAnswer: 233*t + 43337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105038.2 + -105055.70121. Let c = u + 17.5. Round c to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*y - 14 + 1, 4*y - 30 = -2*m. Solve 5*n + 3*f = m, 5*n - 5*f + 13 = -12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 - 44*d**2 - 112*d = 0. Calculate d.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 99\/66 - (-26)\/4. Suppose 5*y - 49 = -g, -y = 5*g + w - 37. Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4566716681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 151512.1 times 4?\nAnswer: 606048.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-55) - 84\/(-99). Let n = -0.03 + 0.32. Let i = n - 0.09. What is the closest to i in v, 1\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/120 and 79\/3180?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.7414m to nanometers.\nAnswer: 298741400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -5*c + 34, -763*r + 766*r = 4*c - 33 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/18*(-18)\/66. Let u = v - -27\/11. Let l = -79\/6 + u. Find the common denominator of l and -27\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:05 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165528 and 254584.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8583 + 8595. What is the third smallest value in 1\/2, -11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 2*a - 5. Let c be 8\/14 + a\/(-2). Let g = 2025 + -2025. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17645 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55571531.\nAnswer: 47, 271, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/2)\/((-86)\/516). What is the nearest to 0 in -3, d, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -14*h. Let r be (-42)\/(-6) + -2 + h. Solve -r*a + 15 = -5*i, -5*i + 0*i - 10 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 49. Let q = -295 - -303. What is the remainder when 41 is divided by a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-26))**(-21)\/((z\/(z\/z**(2\/9)))\/(z**(1\/29)*z)))**(-15) assuming z is positive.\nAnswer: z**(-713590\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/50 + g**4\/30 + g**3\/15 - g**2\/5 + 2*g. Factor m(q).\nAnswer: -2*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1 - 7 - 3*b + 0. Suppose 2*w + 10 = 4*w. Suppose -t = -w*t - 16. Calculate p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2*k - 6)*(5*k + 0*k - 7*k).\nAnswer: 4*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (2 - 0 - -3)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42770*5\nAnswer: -213850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let t = 12 - 8.4. Let v = t - 4. What is the smallest value in v, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1 + (-7 - -3)). Suppose r - 2 = 2*v. Is v greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 7 - 5 = 2*b, -5 = -3*b + 5*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/20*-1. Let w be (1 - 220\/264)\/((-2)\/(-6)). Which is the closest to w? (a) 2\/7 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 5*l - 26 = 0, 2*s - 24 = 5*l. Suppose -4*z = -s*z - 24. Suppose 4*p - 88 + z = 0. What is the remainder when 51 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i + 3. Let r = 17 + -12. Is 11 a factor of f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v + 72 = -28 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 1337*z - 3268359. Determine k(1259).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 853069 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-102)*(-7 + -96) - 16\/408?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 3*u + 3*u - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9422.\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 735 + -1905. What is the common denominator of (-8)\/(-12) + (-96)\/99*-1 and ((-13)\/c)\/(2\/316)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 5) to base 10\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831524 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30182.071155 + -46.9.\nAnswer: 30135.171155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1118993700, -1118993701, -1118993702, -1118993703?\n\"Answer: -j - 1118993699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 2. Suppose 5*z + 17 = 7. Let y be w(z). Let n(b) = b - 1 - 2 + y*b**2 - 1 - b**3. What is n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*j + 16 = 3*j, -22 = -x + 2*j. Suppose -6*h + 15*h = x. Solve -q - 3 = -h*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*m**5 - 2*m**4 + 2*m**2*r**3 - 32*m*r**2 - 2*m - 3*r**3 wrt m?\nAnswer: -820*m**3 - 24*m**2 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**3 - 5 - 10*c**3 - 6*c**3 + 0*c**3 wrt c?\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21403 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 291 (b) 1\/6 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1158159*o + 261677?\nAnswer: -1158159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2787, -18, -4 in ascending order.\nAnswer: -18, -4, 2787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + k - 1. Let b be (-1)\/(9\/27 - 2\/3). Suppose -b = -y, -2*d - d + 4*y = 6. Give g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.6 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46477 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9295706?\nAnswer: 2, 7, 663979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s - 343. Let l be k(-31). Sort -1, l, 1, -5 in descending order.\nAnswer: 1, -1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 - 0.03. Which is the closest to 1? (a) d (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*(-6)\/(-144)*-5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 14 = a, -i + 9 = 2*i + a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 424740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -35.91 (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4625145 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 37*r**2. Let j be f(-1). Let t = j - 19. Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-30) - (-3)\/(-45)*3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -39*r + 44*r. Suppose 3*i - 1383 + 135 = g, -r*g + 1651 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.72802 - 0.769131. Let t = 0.0409 + b. What is t rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4094 take away 8212553?\nAnswer: -8212552.5906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1586 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8\/9))**(1\/11)\/(v**(1\/10)\/((v\/v**(-2\/49))\/v)) assuming v is positive.\nAnswer: v**(5459\/48510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = -4*t - 3*b, 2*b = -2*b - 12. Let i = t - -116. Is i less than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(320)*2*3 - sqrt(320) - sqrt(320)) + -3 + -3)**2.\nAnswer: -20516 + 768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 5122044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, -2522 in decreasing order.\nAnswer: 3, -45, -2522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -106. Let z be (s\/4)\/(299\/26 - 11). Let y(m) = 17*m**3 - 7*m**2 + 5*m. Let d(a) = 9*a**3 - 4*a**2 + 3*a. Determine z*y(q) - 5*d(q).\nAnswer: 6*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -52*r**3 - 6*r**2 + 5. Let s(p) = -53*p**3 - 5*p**2 + 4. Determine -5*a(w) + 6*s(w).\nAnswer: -58*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8145 and 104799?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-3)*j)\/j*j**(-1\/16))**(-2\/5) assuming j is positive.\nAnswer: j**(-79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x - 134*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a*a)\/(a*a*a*a\/((a**3*a)\/a*a)))**(-2\/39))**(-44) assuming a is positive.\nAnswer: a**(176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than 3630?\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54276 and -181?\nAnswer: 54095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(-9 + 8). Let x be 0\/((-1*1)\/((-10)\/30)). Suppose x*l - 5*l = -0*l. Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 7 - (-5 - (0 - (-4 - -17)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 - -163. Solve 0 = 5*p + 3*k + 10, p + 2*k + 24 = -i*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 153042.\nAnswer: 153042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z - 398 + 1577 = 60*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46222 - -230096\/5. Let d = j - -202. Let i be 96\/(-112) + 36\/(-7). What is the third smallest value in d, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-6)\/(-2) - -6. Suppose 5*c = -4*h + 36, 0 = -3*c + 5*c - 4*h + u. Solve v = -v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-180)\/75))\/(1\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 14. Let b(f) = f + 16. Let i be b(n). What is the highest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 293*w - 1416. Let z be f(78). Let q(p) = -4*p**3 - 6*p**2 + 5*p + 5. Let s be q(-5). Calculate the highest common divisor of z and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 7*o - 63. Let u = 62 + -44. Suppose -3*l = -15 - u. Calculate the highest common divisor of o and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10\/81, -0.13, -1?\nAnswer: -10\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 81*v - 1436. Let o be u(-94). Round o to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 - 1.5. Let z = y + 6.15. Let p = 5.15 - z. Sort p, 3, -3.\nAnswer: -3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwwjjxwxxxjjjwj. What is prob of sequence jjx?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -338, -26997, -3 in ascending order.\nAnswer: -26997, -338, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76.2 in -2\/13, 2, -0.3, -0.05, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Divide 36838220 by -18419110.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*s = -255*s + 335*s + 43508 for s.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(28\/(-12)))\/(-23)*(-352)\/264.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 9}. Give prob of sequence hth.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387557622 is divided by 1814?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102120000110 (base 3) to base 5\nAnswer: -24234320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117115756 - 117115947.000238. Let p = -22 + -169. Let y = v - p. Round y to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 912755867 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1\/2, 1.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211747?\nAnswer: 211747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207838*i**4*q**2 + 56*i**4 + i**2*q**2 + 152861*i**2*q + 14*i*q**2 wrt i?\nAnswer: -4988112*i*q**2 + 1344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 85 + (6 - 2). Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 41*a - 223. Determine h(9).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147972937.96969 - -147973612. Let i = 674 - z. Round i to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 5*q - q)*(3 + 3 - 4) - 34*q + 115 - 115 in the form v*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1288 equal to -1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 - -279.3. Put -8, 1, l in increasing order.\nAnswer: -8, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + ((5 - -3) + 2)\/(-2). Which is the closest to r? (a) 5\/4 (b) 83 (c) -1\/3 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2039182208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 13*h - 4. Let p be s(-13). Let u = p + 8. Find the first derivative of -2 - 30*w + 30*w - u*w**2 wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3*o**2*s - 39*a**3*o*s + 14*a*o**2*s**3 - 2*a*o*s**3 - a*s**3 wrt o?\nAnswer: -10*a**3*s + 28*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*y**5 + (5 + 3*y**2 - 5)*(-5*y**3 + y**3 + y**3) + y**5 + y**5 - y**5 + (2*y**2 - y**3 - 2*y**2)*(2 - 2 - 2*y**2).\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/4 - 11*b**2\/2 - 5*b - 4. Let o(s) = 2*s. Give o(f(y)).\nAnswer: 6*y**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 6*g + 9 = 0, 5*u = 3*g + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = -4*z + 1, 4*z - 5*g - 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 6\/(-2)) + 3. Suppose -s = h*s - n + 11, -4*s - 5*n + 17 = 0. Let u = s - 1. Put 0, u, 2 in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18843\/2*18\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 + c**2 - 2*c + 1. Let g be s(1). Suppose 0 = 3*z + p - 10 + 5, -g*z + 2*p + 10 = 0. Solve 3*b + 29 = -5*q, -4*b - 2 - z = -2*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54218, 53789, 53360, 52931, 52502?\n\"Answer: -429*g + 54647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 63*v + 9865 = -64*v, 0 = w - 3*v - 1973. List the prime factors of w.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2277\/(-345) + (-9)\/(-15). Let z(g) = 2*g + 8. Let r(v) = v + 1. Determine x*r(t) + z(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p - 239, 4*p + 71 = -4*o - 193. Let c = -86 - -151. Let v = p + c. Calculate the greatest common divisor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-782)\/3)\/(2\/(-6)). Suppose 44*v + 13*v - 399 = 0. Suppose -v*r + 5*r = -g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72.497 + 72.2. Let o = 0.33 + g. Round o to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 1. Let f = 233\/355 + -4\/71. Sort p, f, 3 in increasing order.\nAnswer: p, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - (-6 + 4 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 26*o - 13. Let n(r) = -r**2 + 6*r + 3. Let j(c) = -26*n(c) - 6*s(c). Let f(g) = -23*g. Give j(f(z)).\nAnswer: 4232*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -11 - 9. Suppose 352 = -4*x + 4*l, -i*x - 3*l = -0*l + 480. Let z = -11 - x. Is 26 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11\/22395854?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let m be x(4). Let q = -4 + 8. Solve -m - 16 = q*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5.6. Let y = -43 + 55. Let o be 4 - 13\/(26\/y). Is f bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*(-56)\/(-16) + 1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 62.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38449\/3 + 12722. Is l at most -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 4*z + 5. Suppose -3 - 6 = -3*i. Let d(l) = 2*l**2 - 3*l - 4. Let c(f) = -3*f + 7. Let t be c(1). What is i*s(r) + t*d(r)?\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - 1*sqrt(152)))\/sqrt(8) + -5 - ((sqrt(190)*-1)\/sqrt(10) - (1 + sqrt(304) + sqrt(19))).\nAnswer: -4 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 3.54.\nAnswer: -10.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56884*f**3*k*t + 5*f**3 - 7*f**2*k*t + 5545*f*k - 8*f*t - 41*t + 2 wrt f?\nAnswer: -341304*f*k*t + 30*f - 14*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5764000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*2\/(-2)*66\/(-231)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/5)*g)\/g)\/g*g\/(g*g**(29\/5)*g))**(-16) assuming g is positive.\nAnswer: g**(608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15699112 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74268, 74267, 74266, 74265?\n\"Answer: -z + 74269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4705017635 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-5 - (-2 - -2)) + -61 + 42).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -421*p + 123. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4247, -176, 2\/7 in descending order.\nAnswer: 35, 2\/7, -176, -4247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41208 + -41207.9932868. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-4 - 8\/(-4)). Suppose 5*r + v*r - 10 = 0. What is the units digit of (8\/(-2 + 4))\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(30\/(-6) + -10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kik when three letters picked without replacement from {b: 5, k: 4, i: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 62.558817?\nAnswer: -93.558817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296\/1991 - 6\/181. Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l - 2. What is the second derivative of -a + l*a + 0*a**4 + 5*a**4 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t = 3*k + 30, 0 = 3*t + 4*k + 11. Solve -o + t*o = 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -491 + 511.2. What is b rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 103. Calculate the remainder when 1\/2*(x + 4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:07 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2182*w + 2180*w + 1 + 8 = 0, 3*x - 11 = -4*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115384 + 29?\nAnswer: 115413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1173042 (base 8) to base 4\nAnswer: 1033120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/35896 and 51\/140.\nAnswer: 179480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -i - 38, 119*i - r - 491 + 3668 + 439 = -546 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666 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: 0.3 times 0.231\nAnswer: 0.0693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -97*c**5 - 8*c**3 + 48*c**2. Let w(p) = 65*p**5 + 5*p**3 - 32*p**2. Let x(d) = -5*u(d) - 8*w(d). Find the third derivative of x(j) wrt j.\nAnswer: -2100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 + -1 - (-3 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1783*m**3\/6 + 71299*m**2\/6 - 356180*m\/3 - 1400 = 0.\nAnswer: -21\/1783, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*v - 23*v + 1140 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1280000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22040041 (base 6) to base 4\nAnswer: -2200233121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 55 = 2*o, 2*o + 4*s = -0*s + 52. Let b = 50 - o. Suppose -4*w = -6*w + b. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 2*d - 1. Let f = 7 - 5. Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 * 8\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1646a (base 13) to base 4\nAnswer: 22120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ippppippppippp. What is prob of picking 2 i and 2 p?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85849021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 5)*((2*q - q + q)*(-5 + 0 + 3) + 2*q + q - 5*q + 0 - 2*q + 0 + 1 + q - 1).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3241351?\nAnswer: 3241350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 50388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 5869. Let s(h) = -2125*h. Calculate x(s(j)).\nAnswer: 9031250*j**2 + 5869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010002 (base 3) in base 8?\nAnswer: -1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-i - 3*i + 3*i) + 2*i + 3*i - 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -83*z**3 + 40*z**2 - 4*z + 8. Let p(h) = 84*h**3 - 41*h**2 + 3*h - 6. Let q(g) = -3*j(g) - 4*p(g). Find the third derivative of q(l) wrt l.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/3*(-9)\/(-6). Let k(l) = -27 - 347*l + 170*l + 174*l. Calculate k(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2. Let u(i) = -177129028*i. Calculate u(x(f)).\nAnswer: 1771290280*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -176 (c) 7 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 - 320*n**3 + 1785*n**2 - 2630*n + 1160 = 0. What is n?\nAnswer: 1, 4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -3)*(-2)\/2. Let m(y) = -62*y - 437. Let g be m(-7). Sort 2, g, z in descending order.\nAnswer: 2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 137*n**2 + 3*n + 3. Let w be y(-1). Let u = -130 + w. Solve -u + 15 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 - 17 = 0, -i = -2*g + 98. Let h = -45 + g. Let w(y) = y**2 + 1. Let n(a) = -6*a**2 + 5*a - 7. Let x(f) = -n(f) - 5*w(f). Give x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25 = -73. Calculate the lowest common multiple of 12 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - -5*(-2*sqrt(252) - sqrt(252)))\/(sqrt(216)\/sqrt(4)))\/((3*sqrt(540))\/(-2*sqrt(30)\/sqrt(3))).\nAnswer: 28*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/9 and (-445)\/147 + 3 - 5\/(-10)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2369 + 1649. Let h = i + 1077. Does 51 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87295 + -13?\nAnswer: -872a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2*(15\/(105\/(-6034)))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 5*y + 5. Suppose -127*c - 4 = -129*c. Let b be o(c). Are b and -67\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*4\/(-48).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 7. What is the lowest common multiple of s and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/316 - 41\/474. Let h = -3 + 6. Which is the closest to 1? (a) h (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 + 0*c**3 + 4*c**3 - 2*c + 4*c**2 - 1. What is y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 10*l**2 + 528*l + 522*l - 1052*l.\nAnswer: -15*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 - 73*r - 104*r + 752 - 374.\nAnswer: -177*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 12*q - 12. Let w(r) = -r**2 + 6*r - 6. Let d(s) = -4*p(s) + 9*w(s). Let k be d(4). Let l = k + -2. Solve 3*i + i + 12 = l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 3\/4*h**4 - 51\/2*h**2 + 3\/2*h**3 - 17*h + 4. Differentiate v(z) with respect to z.\nAnswer: 18*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lokk when four letters picked without replacement from pkolkkllakakklplkp?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 6. Let k(j) = -j + 2. Let g(n) = 6*k(n) - z(n). Let a(p) = -10*p. Give a(g(l)).\nAnswer: 40*l - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 - 1)*(0*r**2 + 2*r**2 + 2*r**2).\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 15\/6 + (-1)\/(-2). Suppose 0 = 8*f - 3*f + 5, d*y - 433 = -3*f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h)**3\/(h*h**0)**(-8\/13) assuming h is positive.\nAnswer: h**(133\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/5, -1, 31 in increasing order.\nAnswer: -1, -0.05, 1\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -809 + 167?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose -1 + b = i. Let a be 4*i - (-1)\/(-1). Let u(z) = -4*z**3 - 3*z**2 - 3*z. Let t(o) = -7*o**3 - 5*o**2 - 5*o. Determine a*t(g) - 5*u(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c + 17. Let t be p(5). What are the prime factors of -3 - (t*-3 - -3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 8c0?\nAnswer: -8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109956 and 3740.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {k: 2, i: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j + 5. Let n be v(0). Is 6 a factor of 5*n\/(50\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83997 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - t + 5. Let y(p) = p**3 - p + 1. What is k(z) + y(z)?\nAnswer: z**3 - 2*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342134 (base 6) in base 15?\nAnswer: 88d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136643476.\nAnswer: 2, 29, 47, 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241406.042 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 34 - 14. Let l(k) be the second derivative of 1\/20*k**5 + 0 + 0*k**h + k + 0*k**3 + 1\/2*k**2. What is the derivative of l(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (-2 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (140\/(-16) - 0)*-4. Let q be 575\/d + 8\/14. Solve 5*z - 8 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab1 (base 15) in base 11?\nAnswer: 4395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103650 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178432793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 10*i**2 - 10*i - 236. Let p(h) = 2*h**2 - 2*h + 3. Calculate c(l) - 5*p(l).\nAnswer: l**3 - 251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 - 2.35. Let s = m + -0.15. What is the third smallest value in s, 2, -1\/2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50395.68 millilitres to litres.\nAnswer: 50.39568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -0.6092?\nAnswer: 0.6392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16098 - -15626. Which is the third smallest value? (a) n (b) 2\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*((-r**3 + 2*r**3 - 4*r**3)*(5*r - 6*r + 2*r) - 23 + 6*r**4 + 23 + r**4 - 2*r**4 - r**4 + (-1 - 2 + 1)*(0*r + 0*r - 2*r**4)).\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from hhepmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 130 + 190*r + 669*r.\nAnswer: 859*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*q - 85*q - 44*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2350502 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5221315 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-135)*(0 - -6). Let m(i) be the first derivative of -3*i + 1 + 0*i**2 + 0*i**3 + 0*i**4 - b*i**5. What is the derivative of m(a) wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 18. Suppose i = 4*t - 5*u, -2*t + 6*t - 12 = 2*u. Let y = -223 - -227. Which is the nearest to -1\/2? (a) -3 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -387, 56, 6\/29, 5?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11992 + -239779\/20. Suppose -5*p - 25 = 0, 2*p - 90 = -5*q + 4*p. What is the common denominator of o and (-190)\/q - (1 - 2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 29.1. Which is the closest to w? (a) 2\/7 (b) 0 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186545982 to the power of 1\/2, to the nearest integer?\nAnswer: 13658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1124, 10211, 35224, 84125, 164876, 285439, 453776?\n\"Answer: 1327*b**3 + b**2 - 205*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.2 - 49. Let f = -11 - j. Which is the second smallest value? (a) 1\/3 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/(888\/(-120))*(-9)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 36 = 1. Let p = 8 - y. Solve -7 = -2*d - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 25*l + 31. Let w be i(19). Let p = -74 - w. What is the second derivative of -13*n + p*n**2 + 14*n**2 + n + n**2 wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 not equal to -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*k - 15 = -2*w + 226*k, -2*w = -2*k - 30 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 10*o + 3. Determine q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 - 22*r - 64. Let u be d(-5). Put u, 2, 52, 4 in increasing order.\nAnswer: u, 2, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 2. Let s(u) = 4*u + 1. Calculate -3*g(t) + 4*s(t).\nAnswer: 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -921.72 - -450.09. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-8) - (357\/24)\/7. Let q be (w\/(-7))\/((-16)\/140). Which is the third biggest value? (a) 0 (b) 0.01 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15291829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 1\/3 (b) 2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-1) - (-301)\/((-109564)\/3864)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/179 (b) -3 (c) -102\/31 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 3*c + 16995. Suppose c = 5*d - 3*b - b, 3*d - 3*b = 2040. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38505, 76992, 115471, 153942?\nAnswer: 192405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 234, 931, 2118, 3819, 6058, 8859, 12246, 16243?\n\"Answer: 4*k**3 + 221*k**2 + 6*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3414 - 3409. Solve -c*l = -v + 13, -4*v + 2*l + 13 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 5, t: 4}. What is prob of sequence tzz?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-175)*(4\/6)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 827, -2\/5, -2.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 66. What is the nearest to -2 in x, 3, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, -3, -5, 282 in ascending order.\nAnswer: -267, -5, -3, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20.264 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 6 = 3*p. Suppose 0 = -d - 4, -3*n - 4*d = 10. Let k be -1 - (n + p\/3). Which is greater: k or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2469317 is divided by 781.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3009, 3039, 3061, 3069, 3057?\n\"Answer: -v**3 + 2*v**2 + 31*v + 2977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*v = t - 4827, -v - 24108 = -5*t. Suppose q = 2*q + 2121. Let l = t + q. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 2*x**3 + 5*x**3 + (0 + 0 - 2*x**2)*(3 - 3 + 9*x))*(2 + 2 - 3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 423554245 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (10 + -13)) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199866817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**2 + 27*h**2 - 46*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*z = 4, -6*c + c + 4*z + 4 = 0. What is the closest to -136 in -0.1, -6\/11, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -790 - -1547\/2. What is the common denominator of d and (172\/48 + 0)\/((-4)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1293*l - 4339. What is the tens digit of d(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 33 - 9 - 18*d - 15 - 12 + 4*d. Suppose -187*m + 12 = -193*m. Give h(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*u = -9, -3*n + 2*u = -6*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (113 + 22 + -77)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.79 (b) -754321 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrtx. Give prob of picking 1 t and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 64*n. Let r(a) = 14064326*a. Determine r(z(m)).\nAnswer: -14064326*m**2 + 900116864*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2)))**(-44))**(-14) assuming s is positive.\nAnswer: s**1232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.2. Let f = 3.5 - 4. What is the nearest to -2\/5 in f, s, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(2\/14)\/(22\/(-11)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (-913 + (-3)\/1). Suppose -1820 = -4*j - 4*s, 11*s = 2*j + 8*s - i. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40499 in 0.5, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2\/11, -3\/4, 32\/7, 0.05?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose 0*q + z*l = -2*q + 82, 5*q - 216 = -2*l. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8905572323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33024, -132070, -297156, -528288, -825472?\n\"Answer: -l**3 - 33014*l**2 + 3*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 87024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -35 - (16 - ((18 - -25) + -16))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-13 + 5))\/((-9)\/(-450))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 1878784 - 1878784.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2417 = -5*y, -3*y - 14*r - 1441 = -10*r. Let v = y + 489. What is the highest common divisor of v and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + -1 + 5)*1. Let c(b) be the third derivative of 1\/60*b**5 + 0*b**3 + 0 + w*b**4 + 0*b + 2*b**2. Let u(x) = 4*x**2. Determine u(c(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x. Let k(n) = -31*n + n**2 + n**2 + 31*n. Calculate d(k(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/35 - 75\/42. Let h = 997 - 997.3. What is the nearest to 8 in g, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -8. Let y(w) = -w**3 - 4 + w - 3*w - 6*w + 2*w**2 + 7*w**2. Find the common denominator of y(k) and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*f - 3597 = -242*f. What is the least common multiple of f and 27?\nAnswer: 2943","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:04 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -30, -64, -120, -204, -322?\n\"Answer: -b**3 - 2*b**2 - 5*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -23*c**2 - 1 + c + 9 + 20*c**2. Let k be j(-4). What are the prime factors of ((-6)\/(-1))\/((-8)\/k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 12*q + 30 = 0. Suppose q*m - x - 170 = 0, 0 = -3*m + 2*x - 5*x + 102. Suppose 3*f + 8 = -4*n - 3, 5*n + m = 3*f. Solve -d = -5 + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 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: Calculate the remainder when 8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077931 to six decimal places.\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 355*v = 3910, 0 = 363*a - 365*a - v - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598633.\nAnswer: 7, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -15142?\nAnswer: 15150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -129, -258, -475, -810, -1293, -1954, -2823?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16537218 and 2416?\nAnswer: 132297744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 4 + 0*o - o**2 - 2*o - 10 + 5. What is the lowest common multiple of 7 and d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -40. Suppose u*r - 3 = 3*k - 11, -3*k - r + 13 = 0. Suppose p - 41 = 3*c, -2*p - k*c - 28 = -100. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2172075 = -2*d - 352010, -h = -3. Suppose -16*n = -44*n + d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q**2)*(-3*q + 2*q - 2*q) - 909*q**3 + 460*q**3 - 689*q**3.\nAnswer: -1141*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 12708*g - 902284. Determine n(71).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)\/((s\/s**(-3\/5))\/s))**(-2\/45)\/(s*s**6*s\/(s\/(s*s**(-1\/9))*s)*s*s\/s**(-2\/11)*s\/(s\/(s**(-2)*s))) assuming s is positive.\nAnswer: s**(-6607\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.1 - -19.89. What is n rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:23 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 60 = r, -191 + 63 = -3*r + 2*h. Suppose 7*t = r - 12. Solve 0 = -c - 4*i + 1, 5*c + t*i + i - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/357)\/((-3)\/(-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 188153.029.\nAnswer: -752612.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/(3\/((-3)\/2))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 71 = 11. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 3*r + a, 9 = -3*r + 3*a. Let g = r + 10. Suppose g*h - 9 = -h. Let q(t) = 11*t - 7. Let m(y) = -5*y + 3. Determine h*q(x) + 7*m(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 - 2*u + 3. Calculate the remainder when 32 is divided by w(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603746459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Let d(x) be the third derivative of -3*x**4\/8 - x**2. What is y(d(o))?\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*6 + 1)*-1. Let y be ((-48)\/(-56))\/((-1)\/z). Suppose -40 + y = -k. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -86*c + 2616. What is the units digit of s(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + 2324?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55\/84 + -1\/84. What is the closest to -3\/4 in z, -1, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (435 + 392 - 727 + (1 + 1 + 0)*(-5 + 3 + 3))*(0*l - 5*l - 3*l) + 0*l - 3*l + 7*l.\nAnswer: -812*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*-1*48\/80?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6b16 + 2?\nAnswer: -1a6b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4, -2*f + 26 = -u + 5*u. Calculate the greatest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -1091 (c) -23 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/(r\/(r\/((r\/((r**(-1\/2)\/r)\/r))\/r)))*(r\/r**(3\/16))**(-27) assuming r is positive.\nAnswer: r**(-471\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 473, -2, 1.\nAnswer: -2, 1, 8, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -291575 divided by 2?\nAnswer: -291575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -1\/6 (c) -0.5 (d) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*(-6)\/27*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8301 and 48.\nAnswer: 132816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -3*q, d - q - 4 = 0. Suppose -42*l + 21929 = 21845. Calculate the highest common factor of l and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - n**3 + 9*n + n**3 - 2*n**3 + 0*n**3 + (2*n + 2*n - 5*n)*(3 - 25 - 16)*(-8*n - 10*n**2 + 8*n) in the form w*n + r*n**3 + x*n**2 + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452054, 452065, 452088, 452129, 452194, 452289?\nAnswer: 452420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-775)\/180 - (-9)\/((-243)\/12))*8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-8))\/(-7)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/191592 and -107\/22584.\nAnswer: 180288072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and (-344)\/112 + 1\/(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 25?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -8)\/(-2*(-4)\/573704). Let u be b*-1*(-5)\/130. Let k = 19304 - u. What is the common denominator of k and 119\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6305252.\nAnswer: 2, 167, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -110 (c) -1 (d) 17 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*h - 24 = 0, -2*a + 16 = -0*a + 3*h. Let y = -5 + a. Let s = -39983 - -39985. Solve 2*w - y*r = s*r + 33, 3*w = 4*r + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 12, 14, -311 in decreasing order.\nAnswer: 14, 12, -81, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -89, -181, -273?\n\"Answer: -92*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 6*z + 15. Give w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 75 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t**3 + 52*t**4 - 64 - 21*t**4 - 29*t**4 + 8*t**3 + 80*t + 0*t**2 - 24*t**2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -273, -4, 11.\nAnswer: -273, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) + (-63955)\/15. Let l = o + 2802. Is ((-16)\/12 + 1)*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, 1 j, and 1 w when four letters picked without replacement from {v: 1, w: 1, h: 1, j: 1, c: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488302749.\nAnswer: 3, 11, 548039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/702 and -107\/54?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 7 - 392\/(-49). Solve 0 = 2*f - 4*i - 22, -z*i - 3*i + 5 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345179 is divided by 3633?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347.9374 + 0.0626. Let d = x - 347.999999842. Round d to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 15. Suppose -3*j - 2*s = -162, 4*s = -7*j + p*j + 212. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140.46mg in grams?\nAnswer: 10.14046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 268532568 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5159636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103349067 - 1.04.\nAnswer: -103349068.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8*(-1)\/(-6))\/(1\/(-6)). Let q be 3*4\/(-96)*i. Solve z - 4 - q = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z + 10. Let d be (3 - 1)*(-18 + 15). Suppose y - 5*l - 11 = 9, -33 = -2*y + 3*l. Calculate the remainder when c(d) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**4 - 28*y**3 + 5*y**2 - 5*y. Let i(d) = d**4 + 14*d**3 - 3*d**2 + 3*d. Let m(p) = -3*g(p) - 5*i(p). Factor m(o).\nAnswer: o**3*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -100407079.\nAnswer: -100407079, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -5 + 245\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-12) - (-210)\/9. Suppose 17*o - i = 14*o. Suppose t + o*t = 19440. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 1156*l + 2320. Let k be z(-2). Let v(f) = 6 + f - 17 + 1 + 9. What is v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4790 or -4791?\nAnswer: -4790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jhwhtcrjc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) - sqrt(170)*-2))*5 + sqrt(170) + sqrt(170))\/(sqrt(40)\/sqrt(4)*1 + sqrt(10)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65297 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87366079903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7429457.56 rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -314 (b) -443.9 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(11) - sqrt(176))*6).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3 + 1\/20*m**5 - 5\/2*m**2 + 19*m + 7\/12*m**4 + 0. Calculate k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.51016733 rounded to two dps?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8228806247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179692, 2359379, 3539066, 4718753, 5898440?\nAnswer: 7078127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 11. Let j be b(-8). Let y(n) = n**2 - 2*n + 14. Let w be y(7). Let q = w + j. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 53, 0.1, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 103. Let q = 17\/62 + -611\/1550. Is h greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14471865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/55 and 68\/275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12914?\nAnswer: 2, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 29*w**2 - 7*w - 34. What is the units digit of l(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828170708 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxbbx. Give prob of picking 1 x and 1 b.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*g + 95*g = -5129520. List the prime factors of g.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - v, -5 = 3*d - 5*v - 0. Let t(z) be the first derivative of z**3\/3 + z**2\/2 - 3*z - 3. Determine t(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*b + 10808 = -397*b - 6370 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w - 7. Suppose 3*d = 7*d + 3*j + 48, d - 11 = 5*j. Is t(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b976c (base 15) to base 4.\nAnswer: -2033301333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2383579.17ns?\nAnswer: 0.000000003941103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(22\/33)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 9:49 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 - 27*y + 57\/2.\nAnswer: -3*(y - 1)*(y + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11856 divided by 3952.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 11680 = 28144. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 56 = 10*a. Let c = a + 27. Is 41 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4521, -4522, -4523, -4524, -4525?\n\"Answer: -h - 4520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*z + 4, 10 = -2*f - 4*z. Solve f*s = -0 - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(112) - (sqrt(35)\/sqrt(5) + 0)) + -5)*-6)**2*6.\nAnswer: -7776*sqrt(7) + 21384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z + 0*z + 0*z)*(3*z + z - 3*z) - 2*z**2 + 2*z**2 + z**2)*(-47*z**3 + 78*z**3 - 12*z**2 - 37*z**3) + 0*z**4 - 2*z**5 + 0*z**4.\nAnswer: 4*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18784 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 42, 46, 52, 60?\n\"Answer: o**2 - o + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8 + -5?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.5431 and -17?\nAnswer: 9.4569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204840?\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94287812?\nAnswer: 2, 4721, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (-17 + 22)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 14*r**2 + 239*r - 1751. What is v(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(94 - 135))\/((-27)\/4)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377 by 7.\nAnswer: -377\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:25 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 + 171. Let i(t) = -21*t + 6*t + q*t + 10*t + 4*t. Let d(o) = 30*o**2. What is d(i(j))?\nAnswer: 750*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098577 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -104.189. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -551012*d**3 - d + 1567715?\nAnswer: -1653036*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4039466 and 7987?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/8)\/q*q*q*q)\/q**(-2\/9))\/(q**(-2\/7)*q\/((q\/q**(-3))\/q)))**(-43) assuming q is positive.\nAnswer: q**(-94987\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471727, -940247, -1408765, -1877281, -2345795, -2814307?\nAnswer: -3282817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/16*(2 + 2). Let z be (-2 + 1)*-1*29. Suppose v*c = z + 126. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 2, -32, -68, -106?\n\"Answer: -y**2 - 29*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-3) + (-3)\/9. Let r = -1 - 0. Let l(p) = -p + 4. Let t be l(5). What is the nearest to r in -3, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + 0.41. Let u = 26.55 - p. Let y = 33.5 - u. What is y rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 times -0.9\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - g = -3, -3*g - 2*g - 11 = -2*m. Let f(l) = 2*l**2 + l - 1. Let w be f(m). Let h = -86 - -85. Sort -5, w, h.\nAnswer: -5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxs when three letters picked without replacement from ssssssxxssx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 4. Let n(h) = -44 + 121 - 35 + 4*h - 44. Give 5*n(c) - 3*s(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.9 + 4.9. Let g = 0.35 - 0.3. Let o = g + 0.08. What is the third smallest value in -2, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103, 209, 313, 415, 515, 613, 709?\n\"Answer: -a**2 + 109*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 134*l - 65. List the prime factors of b(8).\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 189793*y**2 + 18. Let o(v) = 2*v. Calculate o(c(u)).\nAnswer: 379586*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 783965793 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1492 + 1543. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16036684.\nAnswer: 2, 19, 79, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 59*l. Let f(s) = 433*s - 2. Determine f(u(k)).\nAnswer: 25547*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*t - 889539 + 22389. List the prime factors of t.\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 99282 = 10*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/240 + m**5\/80 + 3*m**3\/2 + 23*m**2. Let r(y) be the first derivative of b(y). Suppose r(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:23 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*g - k - 14, -2*k = 2*g - 4. Find the first derivative of g - 43 - p**4 + 3*p**4 wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:08 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171052371 <= 171052372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8099 + 1991 - 1742 + 1494 = 518*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2, o: 4}. Give prob of picking 3 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 326019 - 108520. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3750354143?\nAnswer: 47, 79794769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + -9 + -2 + 615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534f (base 16) to base 11\nAnswer: -15029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 - q + 7*q - 2 + 1. Let j be r(5). Solve 5*n + 0*n = j*h + 35, -4*n = -2*h - 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - (11 + 0 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25063\/5 + -5012. Let b be (4\/(-5))\/(84\/(-30)). Let w be (-5)\/6*3\/(-10). Sort b, w, s, -7 in descending order.\nAnswer: s, b, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1056*h**3 - 6639*h wrt h?\nAnswer: -6336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -10.8. Which is the biggest value? (a) -5 (b) 0.4 (c) 2\/7 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21879, 43758, 65637, 87516?\n\"Answer: 21879*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2220 and 67\/6.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -9895?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -669 + 666. Let f = -2 + 1.98. Let d = f + 0.22. What is the second biggest value in z, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 692 = -111. Let h = -74 + r. Suppose 97*g - h = 94*g. Solve g*s - 4 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(2 + 68\/(-12)). Let s(c) = 1 - 1 - g*c - 5 - 2*c. What is the smallest common multiple of s(-3) and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -1033, -1781, -2815, -4231?\nAnswer: -6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -826+12\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253614962 to the power of 1\/2, to the nearest integer?\nAnswer: 15925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -731 + 731 - 1549*y**2 + 330*y**2 in the form a + z*y**2 + t*y and give z.\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824*j = -815*j + 27. Let y(w) = 2*w**3 + 2*w**2 + w + 7. Give y(j).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12000 and 4941280?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413982 is divided by 8269?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2\/9 (c) -2 (d) -823\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 20*c + 12. Let y be q(5). Let d be (-1 - -2) + 42\/y - -2. Factor 8\/3 - d*l - 1\/3*l**2.\nAnswer: -(l - 1)*(l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20271671*q**4 - 1231063*q wrt q.\nAnswer: -243260052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 1)*(-2*c - 8*c - c) + 6*c - 2*c - c + (2 + 0 - 1)*(-4*c + 4*c + c) - 4*c + c + 5*c to d + h*c and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 26 = 38. Suppose -a + 0*a + j = 4*z, a - 7 = -3*z. Suppose 4*t - 208 = -a*t. What is the remainder when 103 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a15 - 139?\nAnswer: -1b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 0*t**3 + 2*t**4 - t**3)*(-2 - 2 + 3 + (0 + 0 - 1)*(0 - 4 + 6) - 3 + 4 - 6).\nAnswer: -16*t**4 - 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 + 3*w**3)*(6*w - 4*w + 2*w) - w**4 + 3*w**4 + w**4 - 2 - w**4 + 2 + (5 - 1 - 2)*(-w**4 + 0*w + 0*w) + w**4 - 5*w**4 + 2*w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206362 is divided by 378.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509956127.\nAnswer: 4903, 104009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.7 (b) -3\/4 (c) -2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*d**2 - 55*d + 20.\nAnswer: 5*(d - 1)*(7*d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 48, -1\/4, -2, 0.4 in decreasing order.\nAnswer: 48, 11, 0.4, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -934, -933, -932?\n\"Answer: r - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 - 4*b**3 + 18*b**3 - 2244436*b**2 + 2244436*b**2 - 6*b**3 - 4*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 78 = -2*o - 308, -5*y + 3*o + 567 = 0. Let z = 121 - y. Suppose 12*j = z*j + 150. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*z - 36 - 51 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**6)))\/(d*d\/(d\/(d\/(d**(-34)*d)))))\/(((d**(-3\/16)\/d)\/d)\/((d*d\/(d**(17\/6)*d)*d)\/d)) assuming d is positive.\nAnswer: d**(-1903\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1372, 1371, 1370, 1369?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 2, 1 in descending order.\nAnswer: 4, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from {d: 1, b: 3, g: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -981779*m**3 + 1635*m**2 - 2*m + 30.\nAnswer: -5890674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14868\/5664*3\/((-18)\/(-8))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-32 - -87) - -98\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 - 64*p + 300. Calculate n(11).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 275616*t - 551248 = 0 for t.\nAnswer: -2, 68906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/42)\/((201\/(-1072))\/((-27)\/(-24))).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*n - 11, 3*n - 17 = n - v. Let a = n - -105. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:12 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + (-1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 42 = -3*i. Suppose 2*k = i - 4. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 209.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9442\/615 - 4\/205. Calculate the common denominator of l and (-6)\/9 - (-291)\/252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -280, 88, 0.2, -0.5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19917 is divided by 909.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 25. What is z(8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 716797510 a multiple of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 176614313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6760*l - 506992. Give b(-75).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ddodddddod.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -24*x - 9. Let d(p) = 762*p**3 + 2*p - 1. Let v be d(1). Suppose -x*k + v = 3163. Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -190*h - 348 - 4321 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -39*z. Let r(y) = 33232*y. What is r(p(a))?\nAnswer: -1296048*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4689, -5100, -5511, -5922, -6333?\nAnswer: -6744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 29*g**2 - 3*g + 18. Let x be c(3). Suppose -x = -10*b + b. Calculate the remainder when b is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -4*t**4\/3 + 156*t**2. Let l(w) be the first derivative of -w**3 - 52. Calculate l(f(q)).\nAnswer: -3072*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**5 + 0*k + 0*k**2 - 11\/3*k**3 - 7\/6*k**6 + 0*k**4 - 5. What is the third derivative of v(b) wrt b?\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 + 13*v**4\/6 + v**3\/2 + 33*v**2\/2 + 2*v + 2. Is i(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 162823437 - 162823437. Let a(o) be the second derivative of 2*o + 0*o**2 + 0 + 13\/6*o**3. Determine m(a(b)).\nAnswer: 676*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from eevvqvrqrqer?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 33\/(-9). Let h(v) = -2*v - 2. What is h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 143.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -1\/3 (c) 2\/11 (d) -15432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 638283 + -390454. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -753444 and -11301671\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - t - 4*t)*(-3 - 2 + 7)*(-4 + 5*t**2 + 4)*(1 + 4 + 0) to the form i + m*t + y*t**3 + a*t**2 and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1933871 + -4183871. Round l to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1156 and -4.\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444392374?\nAnswer: 2, 227, 3181481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*w**4 - 3*w**3 - 59*w**2 - 2*w + 348680.\nAnswer: 7116*w**2 - 18*w - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:56 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let z(g) = 189*g - 2022. Let j(b) = 11*b - 118. Let n(o) = -69*j(o) + 4*z(o). What is n(x(r))?\nAnswer: -3*r**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 1. Let m be w(-1). Suppose m*c = 3*c + 2081. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/18 - -338*5\/456. Let q = h + 4\/19. Which is bigger: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 73694.66 millennia?\nAnswer: 7369466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92560 and 1714674?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, h: 2, f: 4, l: 1}. What is prob of sequence hggf?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87751, 85216, 80991, 75076, 67471?\nAnswer: 58176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 5*o - 67.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 2*p - 2*j - 135, 0 = -4*p - 4*j + 1436. Suppose -p = -7*f + 111. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 120. Let f be -6*2\/3 - (2 + -588). Let w = f + -578. Calculate the greatest common divisor of x and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -276*3\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**3 + 0 - 1\/3*j**4 - j + 0*j**2. Let a(v) = -v. What is s(a(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -12299744846432?\nAnswer: -12299744846432.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 488 - b64b8?\nAnswer: -b6030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 w when three letters picked without replacement from jsjppswpqfsp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5013 (base 6) to base 4\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1524 - -1523.7. Put -94, x, -0.2 in increasing order.\nAnswer: -94, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 - 98. Let h = 173 - a. Is h a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223 - -49. Let o be (-5)\/1*u*15. What is o rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 6*d**5 - 2*d**5 + (4*d**3 - d**3 - d**3)*(d**2 - 3*d + 3*d) - d**5 + 0*d**5 + 3*d**5.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:56 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 + -125. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1871 and 1786 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12834736 and 920?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34031519 to the nearest integer?\nAnswer: 5834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 0) + ((-8)\/6)\/(553\/3318).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/1275741 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*p - 18*p - 21*p as j*p + s and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*j**5 + 117087*j**4 + 2*j**3 - 580933*j**2 + 18*j wrt j.\nAnswer: -960*j**2 + 2810088*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113739302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114367 is divided by 57176.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (-193)\/(-4). Let w be (-12)\/10*10*1\/(-1). Calculate the highest common factor of w and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 1. Let y(t) = -t**3 + 12*t**2 - 6*t - 2. Let w be y(5). What is the greatest common divisor of w and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -570469*g. Let k(j) = 4*j. Give k(p(w)).\nAnswer: -2281876*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-41)\/((-20295)\/22)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -205.02 rounded to the nearest integer?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + ((-4*sqrt(130)*-5)\/(5*sqrt(1000)))**2 + -3.\nAnswer: -23\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1 (c) 1\/8 (d) 11\/2 (e) 5.9 (f) 0.1 (g) 12\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 + -15.03. Let d = j + 14.5002. Let t = -0.6 - d. Round t to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:18 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1870441590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/(-395))\/((-6)\/5)*(-84)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133401*h**3 - 64448*h**2.\nAnswer: -800406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 3. Let k be m(2). Let w(j) = -2*j**3 - j**2 - 3*j - 2. Let v(h) = -h**3 - 2*h**2 - 3*h - 1. Let y(s) = k*v(s) + 2*w(s). Give y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -5*z**4\/12 + 3*z + 1. Let g(p) be the first derivative of m(p). Let c(r) = 2*r. Give g(c(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 481 + -452. Suppose 31*h - i*h + 3*u = 13, -3*h - 6 = -4*u. Solve -m - h*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*o**4 - 13*o**3 - 5447*o**2 - o + 5447*o**2 to g*o**4 + h*o + f + b*o**3 + l*o**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 13*g - 6. Give c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)\/o)\/(o*(o**0*o)\/o))\/((o\/o**(-2\/5))\/(o\/(o**(-7)*o))))\/((o*o*o**(1\/7))\/(((o\/(o\/(o**(1\/4)\/o)*o))\/o)\/o))**(1\/14) assuming o is positive.\nAnswer: o**(20653\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 25*w)*(-4 + 5 - 2)*(w**3 + 4*w - 4*w) to u*w**2 + p*w + i*w**3 + c + g*w**4 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25609, -25610, -25611, -25612, -25613, -25614?\nAnswer: -25615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.443 - -0.51. What is p rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16, -1932, 3, 359, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 1, 87\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4748490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.51608 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 - w + 2. Let v = -13 - -18. Let g be f(v). Let s = -27 - -25. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 11*k + 12. Let d(o) = -o - 6. Let u be d(5). What is the units digit of c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36881.\nAnswer: 13, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlt when three letters picked without replacement from gflftnttlhf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6))\/o**2)\/(o*o**0\/o)**(-15\/7) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*z**3 - 2046800*z**2 + 14863752*z.\nAnswer: 42*z - 4093600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 5*f = -27 - 256, -4*f = 5*g - 235. Calculate the remainder when 373 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 4*l**2 - 9*l**3 - 36*l**4 + 48*l**4 + 4*l**3 - 2 + 5*l**2 as k*l + w*l**2 + u*l**4 + v*l**3 + r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -844 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36\/504*20*196\/(-28)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**3\/6 + 3*h + 86. Let m(x) = -5*x - 146. Determine m(o(i)).\nAnswer: -5*i - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffllwfdf. Give prob of picking 2 f and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05569 + -0.05569. Let u = 0.0271 + -6.0171. Let y = -0.01 + u. Sort w, 3, y in descending order.\nAnswer: 3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h**7 assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 - 300. Suppose 0 = -y*j + 5*z + 419, 5*j - z - 1000 = 2*z. What are the prime factors of j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 424 = -3*x. Suppose -3*a + x = 4*g - 2*g, 3*a + 5*g = 412. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*q**3*t**2 - 4*f*q*t - f*t**2 - 15747*q**2*t**2 + 29*q*t**2 - 3*q*t + 195*t**2 wrt q?\nAnswer: 18*f*q*t**2 - 31494*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -2\/15 (c) -7 (d) -3 (e) -44 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 13. Suppose 2*j + 3*j = -4*t + 29, -f = -3*t. Suppose 2*s - j*u = 94, -91 - 111 = -4*s + 3*u. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*n**3 - 56*n**3 + 726*n**3 + 216*n**3 + 605*n**3.\nAnswer: 1329*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/1782 and 41\/54?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let o(y) = -24745*y - 759. Let d(q) = 227654*q + 6969. Let s(z) = -11*d(z) - 101*o(z). What is b(s(n))?\nAnswer: -24492601*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 <= 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56396552, 56396505, 56396376, 56396123, 56395704, 56395077, 56394200?\nAnswer: 56393031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*c - 36 = -111*c. Suppose c*t = -9*q + 8*q + 36, 3*t + 4*q - 40 = 0. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b. Suppose b = -3*g - 9. Suppose 5*y + 42 + 23 = -v, 52 = -4*y + 3*v. Sort g, -2, y in descending order.\nAnswer: -2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*h + 10, 0 = 3*g + 2*g - 2*h - 10. Let m = -61 - g. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75900.\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 8*o**2 - 7*o - 2. Let u be s(7). Suppose 4*n = -3*n + 21. Put n, u, 8, -1 in descending order.\nAnswer: 8, n, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8765*f - 17799*f + 8892*f.\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*r**5 - 6708*r**4 - r**3 + 59451870*r wrt r.\nAnswer: -1860*r**3 - 80496*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -416, -621, -826?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 5*b**2 + 14*b - 1. Calculate i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 46392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 219402.\nAnswer: 219402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -1 + (15 - 1 - 3). Let s(n) = -25 + 14 + y + 6 + n. Calculate s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 102\/47347, 0.4?\nAnswer: 102\/47347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 2. Let b(d) = -7*d - 6 + 4*d + 3 + d**2. Let y(p) = -2*b(p) + 3*g(p). What is the second derivative of y(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let t(n) = -2*n**2 + 55*n + 31. Let j be t(26). Let m = j + -114. Give s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/65, -1\/6, 0.8, 4.\nAnswer: -1\/6, -1\/65, 1\/3, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/2 - 6\/12. Suppose k = -2*d - 2*f, -d = 3*d + 3*f + 38. Let y = d + 19. Calculate the greatest common divisor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9888*n*v - 26*n + 2936921*v wrt n.\nAnswer: 9888*v - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 8*s**2 - 24*s + 35. Let a = -1159 + 1169. Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121221 (base 3) to base 9\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (416\/36920)\/(2*2\/(-10))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:14 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -5.96\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 5. Suppose 0 = -0*j - 2*j. Suppose j = -4*z - 7 + 23. Solve 4*a + s + 6 = p, -3*p + 18 = -z*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**5\/3 + 35*x**4\/3 - 205*x**3\/3 + 470*x**2\/3 - 460*x\/3 + 2186. Determine k so that l(k) = 0.\nAnswer: 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -16*i. Let b(r) = -3*r. Let t(v) = 11*b(v) - 2*m(v). Let o(n) = 4*n**2. What is t(o(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43720684877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*h - 4 + 2\/3*h**2.\nAnswer: 2*(h - 2)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 6. Let m be w(4). Let c = -1006 + 1009. Suppose m = c*l - 7. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222594 is divided by 110413?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094255299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 + i + 11. Let w be g(-5). Suppose 2*f + k = 1, 5*f = w*k - 5*k + 6. Which is the closest to 2? (a) -3\/7 (b) f (c) 4\/3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 6. Let j be s(4). Suppose 5 - 17 = -j*o. Suppose -5*b - o = -3*p + 20, -4*b - 4 = 0. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15395, 15378, 15361?\n\"Answer: -17*q + 15412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 + 1662*m**4 - 42975*m**3 + 152052*m**2 - 145452*m = 0 for m.\nAnswer: 0, 2, 23, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3)*(u*u*u**(1\/3))\/u)\/(u**(-4\/3)*u**(-1\/4)))\/((u*u**(-2\/7))**(-2\/27)\/(u**(-1\/6)\/(u**(1\/5)\/u))) assuming u is positive.\nAnswer: u**(16139\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w + 76*w - 13*w - 19*w - 22*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2283*g**3*o**4 + 7*g**3 - 2507*g**2 + g*o**2 - 2*g*o + 26*o**6 wrt o.\nAnswer: 54792*g**3*o + 3120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + (13 - 0 - 16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 265?\nAnswer: 62\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7488) - 1*(-2 + sqrt(7488))) + 6*sqrt(7488)*2 - (2 + 6*1*sqrt(7488))) + 3)**2.\nAnswer: 864*sqrt(13) + 269577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*f + 203*f - 296*f)*(-3*f**2 - 3*f**2 + 5*f**2).\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**2 - 265*u**4 - u**2 + 260*u**4 - 31 + u wrt u.\nAnswer: -60*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 10, 2*n = -4*d + 98 + 50. What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 2*l - 189306. Let k = 10203 + l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12668?\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Let m(v) = v**2 - 1. Let y(d) be the second derivative of -5\/2*d**2 + 1\/3*d**4 - 1\/20*d**5 - 1\/6*d**3 + 0 + 3*d. Determine c*m(u) - y(u).\nAnswer: u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010010010 (base 2) to base 8.\nAnswer: -4222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3 + (-1)\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (4 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + z + z**3 + 2*z**3 + 8 - 2*z**3. Let b be 0 - (-1 - -4) - 4. Let w be q(b). Solve -14 = -n + 5*l, -8 - w = -3*n + 4*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*i = -40, x - 13*i - 16 = -15*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046 = 161*h - 564 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Which is the closest to 0.1? (a) -4 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -27*x + 31*x. Factor -2\/5 + 2\/5*j**x + 0*j.\nAnswer: 2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**35*o)*o*o**(-2\/47)*o)\/(o\/(o**5\/o*o)*((o*o**(22\/7)*o)\/o)\/o))**23 assuming o is positive.\nAnswer: o**(-243547\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let m be l(3). Let t be (m\/5)\/(60\/50). What is the smallest value in t, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3505 - 10183*m - 3505 - 873*m)*(m**4 + m**4 + 0*m**4).\nAnswer: -22112*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 f, and 1 r when four letters picked without replacement from rrfbbfebfrrfbfr.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 0*u)*(-10 - 13*u**3 + 10) + (u**3 - 2*u**3 + 0*u**3)*(-2*u + 4 - 4).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Let b be (-11)\/(-2) + x\/6. Suppose -b*t - 5 + 25 = 0. Solve -17 = w + t*j, -13 = 5*w - 4*w + 3*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8066327?\nAnswer: 43, 109, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 122*h - 19. Let t(u) = 250*u - 38. Let g(n) = 9*q(n) - 4*t(n). Find the first derivative of g(k) wrt k.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.973 + 0.027. Which is the nearest to -1? (a) m (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 14*m**2 - 15*m + 8. Calculate the least common multiple of 56 and q(15).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 7. Let i = -18 + 6. Let m be y(i). Solve j - 3*b - 5 = 0, -4 - 5 = m*j + 2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -5\/2*f**2 + 0 + 6*f + 1\/6*f**4 - 17\/6*f**3. Is m(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h - 21*h + 35*h)*(2*h**2 - 3 + 3) + 0*h**3 - 4*h**3 + 7*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((80 - 103) + 30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 10. Let q be o(10). Solve 4*n = -0*p + 5*p - 13, n - 4*p + 6 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 56738*c + 56731*c - 113469*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2346909*m**5*o**2 - 5*m**3 - 3*m**2*o + 297*m**2 - 224*m*o**2 + 3*m*o - 2*m - 1 wrt m.\nAnswer: 140814540*m**2*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -11. Let s = v + 1. Let g = 0.02 - -4.98. What is the third biggest value in g, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 10609320*h - 21104563286700.\nAnswer: -4*(h + 3978495)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 35. Let v = 57 - 77. Let j be h(v). Put -11, j, -5 in decreasing order.\nAnswer: j, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3)*(150\/(-4))\/(-5). Calculate the remainder when 540\/8*c\/(-25) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75044 + -35488. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -10 + 1 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:38 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 12*m + 7*m - 6300150. What is m rounded to the nearest one thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 - -0.4. Let y = f + 0.4. Let h = y + 3.2. Sort h, -1, 4 in ascending order.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 21 = 39. What is the nearest to -1 in -3\/2, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 950683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 7760.\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 82*f + 13 = -358 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 452?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 26928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 5*s = -10, 4*v - 3*s + 6 = 0. Suppose l - 5*l + 8 = v. What is the units digit of (5 - -1)*(-1 + l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 13*a**2 - a + 8. Let s be v(-5). Let t = s - 34. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -5, -67, -94 in decreasing order.\nAnswer: -5, -67, -94, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {n: 9, w: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/8*p**4 + 0*p - 3\/4*p**3 + 9\/8*p**2.\nAnswer: p**2*(p - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -z + 10. Let b = 72 - z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 837*r - 2618. Let o(a) = -6*a + 2. Let s(v) = -d(v) - o(v). What is the first derivative of s(p) wrt p?\nAnswer: -831","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 4, 21, -1, 269, -4 in descending order.\nAnswer: 269, 21, 4, 1, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/7))**(15\/4))**(3\/17) assuming c is positive.\nAnswer: c**(135\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 167*b - 36 + 98 as v*b + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110489 = -1747*l - 12949 - 8443 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873.43103 plus -59174?\nAnswer: -54300.56897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 632 = -3*p. Let l = 603 + -361. Let b = l - p. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8526 by 6.\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2989.344144 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**3*z**2 + 33*k**3 + 15*k**2 - 4*k*z**2 wrt k?\nAnswer: -24*z**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -28734\nAnswer: -28730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 18. Suppose -3*x = t, x = -2*j + 3*x + 270. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*i + 24, -2*i + 15 = 3*l - 4. Suppose 4*j - l = 9. Suppose -b + o = -o + 3, o = 5*b - 21. Calculate the smallest common multiple of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 65939295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/2 - 31*h**2 - 4923*h\/2 - 2430 = 0.\nAnswer: -45, -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37803 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134840 and 11?\nAnswer: 1483240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 42*r + 225 = -247 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u**2 + 1)*(2 + 2 - 2)*(-50 - 33 + 28)*(-1 + 0 + 0).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 27. Suppose -a = -2*a + 1, 4*i = -2*a + n. Solve i*h = 4*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (5 + (-48)\/(-18)). What is the closest to 0 in v, 0.2, -8, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:12 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s. Let h(l) = 45*l**3 - l**2 + l. Let r be h(1). Let i = r + -43. Sort -5, i, s.\nAnswer: -5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.1 (b) 0 (c) -2 (d) -3.54 (e) 217\/30 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 0*b + 0*b + (-2*b + b + 2*b)*(0*b + b - 3*b) + (b + 4 - 4)*(-14*b + 2*b - 2*b) + 1 - 1 - 2*b**2 + 0*b + 0*b - b**2.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s - 16. Let j be ((-31)\/s)\/(8\/64). Let a = 36 - j. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 3*u**2 - 11*u - 2. Let g be k(-5). Suppose 4*c - 859 = -g*q + 4*q, -c = q - 211. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 22 = 5*c, -4*l - 5*c + 2*c = -38. Let y be 4\/16 + (-1)\/4. Solve s + 2*s + 2*x + l = y, 4*s = x - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 13*z - 327. Is x(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8541.135s?\nAnswer: 2.3725375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d**4 - 5 - 2*d**4 + 2*d**3 - 2*d**2 + 4 - 3*d**3 to k*d**2 + p*d**3 + j*d**4 + h + u*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124423 (base 5) in base 12?\nAnswer: 2a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249265 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, 1 o, and 1 s when four letters picked without replacement from {s: 2, o: 2, b: 2, u: 1, r: 1, x: 4}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -34 - -41 - (-4)\/(-2). Let d(h) = h**3 - 5*h**2 + 5*h - 2. Determine d(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 30. Let b(q) = -q + 1. Let p(z) = -3*b(z) - h(z). Let m be p(11). Which is smaller: 6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -21. Let s = 8214 + -4493060\/547. Is c at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -282, -621, -1094, -1701, -2442?\n\"Answer: -67*f**2 - 4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g - 352 = 0. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/114)\/(21\/28) - 589\/(-2166). Factor s*o**2 + 6 + 2*o.\nAnswer: (o + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1110)\/5*10*(-19)\/(-380).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9858*q**4 + 14161?\nAnswer: -39432*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**4\/6 - 16*s**2. What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 945 = 5*l + 37, 454 = -2*j + 2*l. Let d = -112 - j. Calculate the remainder when d is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.18 - 62. What is the fourth smallest value in u, -2\/5, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 541 = 8*j + 5*u, 0 = -2*u + 10. Suppose -j*a + 72 = -126*a. Let g = 131 + -91. What is the remainder when g is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -585236 - -2452236. What is s rounded to the nearest ten thousand?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1505.687 to the nearest integer.\nAnswer: -1506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -107.731.\nAnswer: -114.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 25. Let o(g) = -3*g + 20. Let n(x) = -4*j(x) - 5*o(x). Let i(d) = 1191*d**2. Calculate n(i(u)).\nAnswer: 13101*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -39*h**4 - 5*h**3 + 5*h**2 + 66. Let a(u) = -39*u**4 - 6*u**3 + 6*u**2 + 66. Let c(b) = 5*a(b) - 6*y(b). What is the first derivative of c(i) wrt i?\nAnswer: 156*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*x**3 + 2*a**3*x - a**2*x + 22353434*a*x**2 + 13*a*x + 2*a + 4*x**2 + 3*x + 2106 wrt x?\nAnswer: -12*a**3*x + 44706868*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.9 - -19.9. What is the biggest value in v, 0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 7*o**2 + 3*o - 14. Let p be l(-6). Suppose 0 = p*d - 5*d + 2. Solve -5*g + 3 = -d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1124*s + 980*s + 209*s)*(2 - 2 + 2) to v*s + k and give v.\nAnswer: 4626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -618887, -618870, -618855, -618842, -618831, -618822, -618815?\n\"Answer: -r**2 + 20*r - 618906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 68. What is the units digit of w\/(-14)*4\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, g: 2, f: 3, c: 4}. What is prob of picking 1 c, 1 g, 1 i, and 1 f?\nAnswer: 48\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392326 and 19008?\nAnswer: 338969664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1300\/189 - -78727\/12096. What is the common denominator of v and 13\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27439 or -0.4?\nAnswer: -27439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 125*z**2\/3 + 81*z - 123 = 0. What is z?\nAnswer: -123, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38559975 or -1\/9?\nAnswer: 38559975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - y = 1264, 0 = 4*s - 0*y + y - 1683. Let j = s - 296. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -318.67 and -19.\nAnswer: 6054.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -5. Suppose -5*u - 15 = -2*q, -5*q + 0*q + 20 = 5*u. Let s be ((-3)\/(-6) + 0)*8. Put c, q, s in descending order.\nAnswer: q, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*b - 0*b - 8, -b + 4 = 5*u. Let x(g) = 5*g**3 - 2*g - 7. Let a(q) = 2*q**3 - q - 4. Let v(w) = -7*a(w) + 3*x(w). Calculate v(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 11. Let a(m) = m**2 + 2. Suppose 0 = 2*q - 6, 2*q - 13 = -n - q. Suppose 0 = 4*d + n*p + 12, -5*p - 7 - 16 = d. Calculate d*i(b) - 11*a(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 45 = -14*k. Let s = k + 17. Let r = 4 + 11. What is the remainder when r is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**14)\/z)**(-21)\/(z\/(z**(-20)\/z)*z\/z**(-28)*z) assuming z is positive.\nAnswer: z**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -11. Let p = 6 + m. What is the first derivative of 4*j**2 + 5 - 2 - 2*j**p + 2 wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 4*t**2 - 2*t**3 + (t + 5*t - 5*t)*(-t**2 - t**2 - 2*t**2).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 94 - 180 + 85 - j. What is o(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 9*w**2 + 16*w - 18. Determine m(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173132 (base 14) to base 3.\nAnswer: -1112102020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*z - 5*f + 2531, -2534 = -5*z - 2*f. Let h = z + -281. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 586328 divided by 2.\nAnswer: 293164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-6 - 3) - 3) + (-1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6941 - 118012\/17. Let h be 10\/(-25) - (-1)\/10*9. Which is the nearest to h? (a) -5 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -75\/2*n**2 + 21\/2*n**4 + 0 + 9*n + 18*n**3 = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756598 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 12, b: 2, p: 2}. Give prob of sequence bp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 16*d - 4. Let v(g) = g**2 + g - 1. Determine -n(q) + 3*v(q).\nAnswer: -12*q**2 - 13*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11586672 minus 1?\nAnswer: 11586671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*o - 3*o = -69, 0 = -4*o - 20. Let w be g\/(-9)*-3 - -1. Suppose -w = -4*f + f, -2*f = -r - 7. Solve -3*i - 3 = r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, 39, -1, -5, -2 in increasing order.\nAnswer: -302, -5, -2, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*d - 10*d + 6*d**3)*(-1375*d + 1375*d + 361*d**2).\nAnswer: 2166*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.59783 milligrams in kilograms?\nAnswer: 0.00003459783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*u - 2*k, 6*k - k + 39 = 3*u. Calculate the remainder when 21 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*(q*(q\/(q*(q**(-1\/2)\/q)\/q*q)*q)\/q)\/q*q)\/(q**2\/q*q**(6\/5)*q) assuming q is positive.\nAnswer: q**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*f = 4*y - 2, -f - 12 = 2*y. Let o(c) = 2*c**2 - 2*c - 21. Does 13 divide o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/17)*v*v**(-2\/9)*((v**(-18)\/v)\/v)\/v**(5\/6))**(5\/13) assuming v is positive.\nAnswer: v**(-30775\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597*k = i + 594*k - 11973, -4*i + 47962 = -2*k. What are the prime factors of i?\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**5 + 15458478*i**2 + 72832273*i?\nAnswer: -140*i**3 + 30916956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 2*z = -25*z - 8*z + 1054 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 + 12*t - 38. Let u be m(4). What is the units digit of (93 + -2)\/1 - u\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1730722070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6\/5 (c) 0.8 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 960243150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/5 - 134*c**2\/5 - 217*c\/5 - 86\/5.\nAnswer: -(c + 1)*(c + 43)*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 5*c - 56, -53 = -3*z - 2*c. Find the second derivative of 8*l**4 - 17*l**4 + 9*l**4 + z*l - 15*l**5 wrt l.\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5780725 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -37. Let m be r - 2\/(-4)*2. Suppose 4*w = 3*w - m*f + 35, -15 = -5*f. What is the remainder when 64 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p - 2*p)*(-1818*p + 911*p - 2276*p - 25*p).\nAnswer: 6416*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-5) + -3)\/((-6)\/20). What is the hundreds digit of 281 - (-7 + 5 - r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 70. Determine i(82).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 5) to base 16\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h + 188. Determine t(54).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 266989, 534499, 802009, 1069519?\n\"Answer: 267510*s - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -398956, -398983, -399014, -399043, -399064, -399071, -399058, -399019?\n\"Answer: q**3 - 8*q**2 - 10*q - 398939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/6) - -98. What is the units digit of 2\/4 - h\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 80, 61, 24, -37?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 112?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - m - 3*f - 8 = 0, -3*f = 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 405 - 405 + 81*o**2 + (-o + 2*o + o)*(-2*o + 0*o + 3*o) + 2*o**2 - 3*o**2 + 3*o**2.\nAnswer: 85*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**3 + 3*s - 5. Let b(v) = 74*v**3 - 20*v + 107. Let u(o) = 15*o**3 - 4*o + 20. Let y(f) = 2*b(f) - 11*u(f). What is -4*l(k) + 3*y(k)?\nAnswer: 13*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-13)*l**(-29)*(l**16)**(5\/3))**(2\/55) assuming l is positive.\nAnswer: l**(-86\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -885\/149 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 64 = -60. Let x(z) be the second derivative of -1\/30*z**3 - 1\/50*z**5 + 0 - 3*z + 0*z**2 + 1\/20*z**q. Let x(i) = 0. Calculate i.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 + 0.06. Let k = 2.8 + -2.7. What is the second smallest value in 2\/5, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-15)\/(-135))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:39 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -114, -202, -324, -492, -718?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9189 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 20 = -7*a + 4*c, -2*c + 8 = 0. Solve 5*l + z = 23, -a*z = -4*l - 4*z + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0445 (b) -6509\/6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677724 is divided by 483.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(126) - (sqrt(126)*2*1 + sqrt(126)) - sqrt(126)) + sqrt(126))*-5)\/(3*(sqrt(112) - (-4*sqrt(112) + sqrt(112)))))**2.\nAnswer: -25\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.106*-2\nAnswer: 0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j + 25*j + 121 + 95 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 6. Suppose o*b + 0*a + 3 = 3*a, -b = 5*a - 23. What is d in d**2 - 2*d**3 + 0*d**2 + 0*d**b + 4*d - 3*d**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsxhhshhy. What is prob of sequence sh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11514510 (base 7) in base 5?\nAnswer: -230414002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 123157, -4, 212?\nAnswer: 123157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 17*d**2 + 25*d + 50. Let j be z(15). Is j <= -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Suppose -4*b = 2*r - 278, v = -r + 3*r - 2*b - 296. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -58*x**2\/5 - 24926*x - 249028\/5 = 0. Calculate x.\nAnswer: -62257\/29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -39, 0, -5, -3 in decreasing order.\nAnswer: 1, 0, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 1194 + 0*u**2 - 1194 + 0*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - -1.54. Which is the closest to q? (a) 4\/3 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1219)\/115 + 11 - (-4032)\/(-1980).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590892 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = 2. Let n be 32\/(-10) + 46 + -43 - (-77)\/35. Solve 0 = -p*t - n*t - 3*h - 32, -1 = t - h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -739 * 0.07.\nAnswer: -51.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Let c(p) = -573150571*p. What is c(g(y))?\nAnswer: -1146301142*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0.32. Let k = -0.02 + b. What is the nearest to -1 in 1\/4, k, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.573 * 0.2\nAnswer: -0.5146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-2*6*-6 + (sqrt(204) + (sqrt(204) - 5*(2*sqrt(204) + sqrt(204))))\/(sqrt(132)\/sqrt(99) + sqrt(12)).\nAnswer: 1113*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 3:24 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1216312, -2, 1, -7 in decreasing order.\nAnswer: 1, -2, -7, -1216312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)\/(x**(-2\/31)\/x*x) assuming x is positive.\nAnswer: x**(-60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120805*-0.0353.\nAnswer: 4264.4165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 18*f**2 + 2*f - 1. Suppose 0 = 3*p + 3*p - 216. What is the remainder when p is divided by c(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 18*s**2 + 2*s - 5. Determine l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15 = -3*w, -2*w + 33 = 5*p + 43 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4126880867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + j)*(1 + 3 - 3) - 13*j - 15 + 30 - 14.\nAnswer: -11*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -73*i**2 + 12*i - 6. Let x(z) = z**2 - z - 6. Give m(s) - x(s).\nAnswer: -74*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307152 is divided by 8930?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0 + 0*n**5 + 17\/4*n**4 - 3\/40*n**6 + 0*n**3 + 30*n**2 - 3*n. What is the second derivative of a(w) wrt w?\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 45. Let o(z) = 2*z**2 - 285. Calculate p(o(q)).\nAnswer: -8*q**4 + 2280*q**2 - 162405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81377 is divided by 78848?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1738*v**5 - 374*v**2 + 7*v wrt v?\nAnswer: -104280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*y + 79 - 261 = 0, 1086 - 172 = -24*i - y for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/22*(-342)\/(-513)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.101 (b) -29 (c) -0.79 (d) 10\/7 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58079456?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 11412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let h(q) = -2*q + 12*q - q - 21*q**2. Let m(u) = 5*u**2 - 2*u. Let v(s) = -4*h(s) - 18*m(s). Determine z(v(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/6, 0.9, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/36 - 23*s**3\/18 - 7*s**2 - 625*s. What is w in c(w) = 0?\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 1318 (b) -7 (c) -0.06 (d) 0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 1:23 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -37645 (base 9) to base 7\nAnswer: -133541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16146*t**2 - 36864*t**2 - 5137*t**2.\nAnswer: -58147*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.0254333813\nAnswer: 0.4745666187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:08 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-850 - -884) + (-1 - 25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 + (2 - (17 + -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, -7, -53 in ascending order.\nAnswer: -53, -17, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -1.1. Let i = 107.6 + -122. Let v = i + 14. Which is the nearest to t? (a) -2\/9 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6 - 3\/(15\/(-1580))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 24*z + 1. Let f be m(-12). Suppose 6*v = 5*v - f. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20975 - 20989. What is the second biggest value in -3\/23, m, 0.2?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008085 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-12)\/(-5) + (-6)\/15). Let z(y) be the first derivative of -1\/3*y**2 - y**3 + p + 7\/18*y**6 - 5\/12*y**4 + 0*y + 3\/5*y**5. Solve z(w) = 0 for w.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1664) + sqrt(26) + sqrt(208)\/(sqrt(24)\/sqrt(3)))\/(sqrt(200)*3 - (sqrt(200) - sqrt(200)*-4)) + 4.\nAnswer: -sqrt(13)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*s + 117*s + 33 = 0. Suppose 0*w - s*w - 3*x = -5211, 5*w = 3*x + 8717. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4)\/p**(-1))\/(p\/p**7*p\/((p**(3\/2)*p*p*p)\/p)))**(11\/4))**(23\/4) assuming p is positive.\nAnswer: p**(2783\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-10))\/(7\/(-54)). Let w = k - 11\/7. Sort 1\/3, w, -0.1.\nAnswer: w, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u**2 + 10*u**2 - 9*u**2. Let m(j) = 2*j**2 + 20*j. Let p(n) = -n**2 - 12*n. Let q(o) = -3*m(o) - 5*p(o). Calculate y(q(d)).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-10)*10\/(-3). Let x = y + 14. Find the second derivative of -3*u**2 + u + 2*u**2 + u**x - 4*u**2 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:44 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 25. Suppose 5*n - n = -d*r + 74, 0 = n - 5*r - 6. Suppose -3*f + 3 + 15 = 0. Calculate the remainder when n is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*o**3 - 1102*g**2*o - 209*g**2 + 7*g*o**3 - 110*g - o**2 - 22*o wrt g?\nAnswer: -2*o**3 - 2204*o - 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102122 (base 3) to base 14.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4 + -1)*6\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 342*v**3 - 188*v**3 - v**2 - 3*v - 174*v**3 as w*v**2 + m*v + o*v**3 + i and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1093646*i*u**3*y - 64*i*y**2 - 4*u**3*y**2 - 5*u**2*y**2 - 2493*u - 1414*y wrt i?\nAnswer: 1093646*u**3*y - 64*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Suppose -v*a - 8 = 6*x - 3*x, -6 = -x + 3*a. Solve 2*l - 1 + 3 = x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 >= 4488\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1719853291 and 30.4?\nAnswer: 1719853321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2125135, -8500467, -19126025, -34001815, -53127843, -76504115, -104130637?\nAnswer: -136007415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((11 + -4 - 4) + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + 20*r - 41*r + 20*r to h + y*r + v*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {q: 3, o: 2, f: 5, i: 5, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h + 157. Determine k(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12322\/3 less than 4107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -1.8\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2363426 + -30?\nAnswer: 2363366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2151115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 8*c**3\/3 + c**2\/2 - c. Let g = 1811 + -1809. Suppose -64 = 7*w + 13. Let t(h) = 3*h. Calculate g*n(m) + w*t(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) 0.2 (c) -2\/29 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103065509 is divided by 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.2. Let f = -1.2 - s. Are f and 0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 27*g - 2. Give d(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10612 * 0.7.\nAnswer: -7428.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/5 + 356559*m\/5 + 713106\/5 = 0 for m.\nAnswer: -118851, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0*b**4 - 3*b**4 + 4*b**4) - 7*b**4 + 2*b**4 - 3*b**4 + (3 - 7 + 3)*(-4*b**4 + 5*b**4 + 0*b**4).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*u = 53*u - 4944 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4280\/600 + 320\/(-150) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144578.403 + 302.403. Let m = k - -144260.8909. Let u = -15.1 - m. Round u to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -30. Suppose -3*h + 0*i + 2*i = -35, -28 = -2*h - i. Calculate the remainder when h is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - -16a3194?\nAnswer: 16a31dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160 and 110?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15 = -7*b. Suppose 5*u = 2*x + 4935153 - 1308151, u = -b*x + 725395. Let c = u + -1245400. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(500) + -2)**2 + sqrt(500) - -2*sqrt(1125))*6.\nAnswer: -6060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 29. Suppose 3*r - t = -10, -4*b + 4*r - 92 = 0. Let p = -3 - b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -14\/9, 2, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 26. Let u(q) = -3 + 648*q + 2 - 647*q. Let w(v) = -d(v) - 2*u(v). Let b(k) = -2*k. What is b(w(g))?\nAnswer: -2*g - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46556444 and 1204?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 9 (c) 1643\/4 (d) -2 (e) 14\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12698*o**3*v + 3*o**2 + 2364*v wrt o?\nAnswer: 76188*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 1 - 2*l**2 - 14*l - l**3 + 9*l. Suppose 0 = -2*w + 16 - 20. Calculate f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/8? (a) 2\/7 (b) 218 (c) 5\/4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 16d?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39814349 + 22727421. Let g = q + 17087013.999902. Let y = g - 86. What is y rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(128)\/sqrt(8)) + sqrt(21)\/(sqrt(1008) + (sqrt(1008) - (-2*sqrt(1008) + sqrt(1008)))) + -5)*6)**2.\nAnswer: -190*sqrt(3) + 11161\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/90434448 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 137.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 145*o**8\/168 - o**5\/60 + o**3\/2 - 4*o**2 - 16. Find the third derivative of y(d) wrt d.\nAnswer: 17400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -18, 1\/6, 0.73777?\nAnswer: 0.73777","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + ((-48)\/(-3))\/(-2). Let j(b) = -4*b**3 + 2*b**2. Let i(m) = 15*m**3 - 9*m**2. Determine w*j(v) - 2*i(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15362594 and 1326?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88742859*s**2 - 46438536 wrt s.\nAnswer: -177485718*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 2. Let b(v) = -5*v - 11. Let f(t) = 2*b(t) + 11*y(t). Let i(j) = 33*j - 13. Let g(a) = 8*a - 3. Let c(z) = 26*g(z) - 6*i(z). Calculate f(c(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 62 - 35. Suppose -a*d = -0*o + o - 231, 3*o = -5*d + 381. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3*l - 81 + 2*l + 6*l.\nAnswer: 11*l - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 + 7*k + 6. Let l = -1078 - -1085. Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*l - 205*l = -3048 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g)**11*(g**1)**(2\/23) assuming g is positive.\nAnswer: g**(512\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 114, 171?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-18) - (-1398)\/27?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.011 + -34.489. Let b = 34 + r. Let u = -0.7 - b. What is the third smallest value in u, -8\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*w + 65855, 4*x = 4*w - 3*w - 13189. Suppose 24*l - 11*l - w = 0. List the prime factors of l.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 36*q**3 + 20*q**3 + 81 + 14*q**3.\nAnswer: 3*q**3 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 35 in ascending order.\nAnswer: 0, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54723 > 54719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**5\/80 + 11*r**4\/48 + 232*r. Suppose b(n) = 0. What is n?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 20 = -5*s, c - 3*s = -s + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 302*c - 307*c - 4 - c + 0 + 0 + (-1 + 5 - 2)*(c + 0*c - 3*c) as j*c + n and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*2\/126*7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.09 in 2\/9, -2\/3, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497\/3 + ((-42)\/18)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -130955.\nAnswer: -130954.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*b + 3*b. Let h = -131 + 133. Solve h*a - b = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.65964682 + 3210.\nAnswer: 3211.65964682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - -98 - (-3 - -21) - 43?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r - 595. Let g be l(-50). Solve 3*a + 2*a = -4*t + 5, -5*a + 2*t = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*k + 3. Let v be -58*5\/10*2\/k. Does v = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1171523930 to the nearest one million.\nAnswer: -1172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-7 - -23) + -6 + -20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose 0*u - u = -3, 5*j - 4*u + 7 = x. Let y be (5 + (-3 - -2))\/j. Calculate the highest common divisor of y and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 15. Let p(j) = -14. Let n(u) = -3*p(u) + 4*x(u). Let b be n(-5). Solve m - 12 = -b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 3778 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.2 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -15*k - 50. Let t be s(-3). Which is the nearest to -2\/9? (a) t (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 960561 divided by -7\nAnswer: -137223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3781957ml to litres.\nAnswer: 0.0003781957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d - 21. Let m(w) = -5*w + 7. Let b(l) = 4*a(l) + 11*m(l). Let s be b(7). Solve s - 2 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5 + 8*p - 11*p - p + p + p + 0*p + 6*p - 5*p + (0 - 2*p + 0)*(-2 + 5 - 1) + 0*p + p - 2*p.\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 4. Let o(z) = -z + 1. What is -6*o(c) - u(c)?\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 21. What is g(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20*8\/(-192)*-1*4*70\/25\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.4 + -10. Is x less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:25 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 1\/((-4)\/((-4)\/(-1))). Solve -10 = -2*z - m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 4*z = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42\/5 (b) -0.311 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -89\/1267?\nAnswer: -89\/1267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + (24 - (-4 + 24)). Solve 3*m + 7 = -13*j + k*j, 0 = 4*m - 2*j + 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f + 84. Let c = f - -16. Let h be 5\/(c\/(-262)) + -2. Round h to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.9 + -34.9. Which is the biggest value? (a) 0.5 (b) v (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076958?\nAnswer: 2, 13, 17, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000010011110111101000 (base 2) to base 15.\nAnswer: -85d3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1923199\nAnswer: -384639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 - (-224)\/(-3). Find the common denominator of 16\/48 + j\/18 and -7\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:15 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3. Let q(z) = 2*z**2 + 7. Let s = -42 + 38. Determine s*q(d) + 9*y(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.8792 and 153.\nAnswer: 149.1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25519003?\nAnswer: 25519003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/7? (a) 2 (b) 14\/15 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4840 + -4836. Solve 15 = 5*v - m*r, -2*v + 3*v - 4*r = 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.41 and -3?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.6 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200596 is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 23. Suppose -4*u - f - 8 = 0, -11975 = 2*j - 5*u. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -2.06. Let s = j + 0.36. What is the closest to 1 in -1, 7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13832572*h**4 - h**3 + 19036043*h**2 wrt h?\nAnswer: -331981728*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*g - 153 = 343*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h - 35. Does 46 divide l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11442, -11758, -12074, -12390?\n\"Answer: -316*p - 11126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h. Suppose -3*q + q - 6 = h. List the prime factors of -2 + (q - -2) + 21.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7462039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23881\/2610 - 13\/261. Let u be -3735 - 0\/(-2 - -1). Let y = 41036\/11 + u. Find the common denominator of y and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 1)*(1 + 2 - 1) - 4 - 1 + 0)*(3*q - 7*q + 0*q)*((-1 + 1 + 3)*(-2 - 1 - 1) + 2 + 5 - 5) to the form c*q + a and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 + 70. Let s be (1 - 2) + (x - -2). Solve p - s*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 687376232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -45*f**3 - 21*f**2 + 21*f + 99. Let l(d) = 9*d**3 + 4*d**2 - 4*d - 20. Determine -4*i(k) - 21*l(k).\nAnswer: -9*k**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Let p = 31 - 29. Let v = 2.03 - 0.03. Which is the nearest to v? (a) x (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666551405.\nAnswer: 5, 13, 113, 90749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, u: 3, x: 5, h: 2, t: 1}. What is prob of picking 1 h, 1 r, 1 a, and 1 t?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2. Let p(s) = s**3 - 4*s**2 - 6*s + 7. Let n be p(5). Suppose -2*k + n - 4 = 0. Calculate g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -4, 2, 3, -20\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h - 6. What is the closest to h in -5, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfssfss. What is prob of picking 3 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-128)\/(-24))\/((-4)\/438). Let s = 11416 - p. What is s rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113 + 52*s**2 + 29902*s - 50*s**2 - 29904*s to j*s**2 + u + d*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020020 - 1031?\nAnswer: -1021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (599 + 61*a**2 - 599)*((-3 + 4 + 0)*(a - 2*a + 2*a) - 5*a - 2*a + 3*a + 0 - 2*a + 0) in the form s + b*a**2 + c*a**3 + m*a and give c.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/178)\/(1\/(-2)). Let a = -0.0386393 - 3.9613607. Are a and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z*z*z**(-4))\/((((z*z**(1\/5))\/z)\/z)\/(z**(1\/2)*z)))\/(z**(3\/4)\/z**(-1\/4)*(z*(z\/(z*(z**8\/z)\/z*z*z))\/z)\/(z**3*z)) assuming z is positive.\nAnswer: z**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bxbbpxafpp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1177555.8 - 4777.\nAnswer: 1172778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + ((-12)\/4 - (-91)\/(-2)) and (-16)\/(-24) - (118\/48 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -705\/11 - -31054\/495. Find the common denominator of (1 + -29)*(-11)\/22 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5890 by 155.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/24*-2). Suppose 16 + 14 = p*o. Let h(q) = q**2 - 5*q + 4. Give h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14568286 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from cummppuc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -32719, -3\/2, -5, -2\/5 in decreasing order.\nAnswer: -2\/5, -3\/2, -5, -32719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 11 + 63*i + 57*i - 131*i. What is w(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 162*y**3 + y**2 - 73*y - 74. What is z(-1)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 261, 536, 905, 1368?\nAnswer: 1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**2 + 2. Let w be y(2). Let d = w - -86. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785\/351 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + 1. Let s(d) be the first derivative of d**4 + 2*d**3\/3 + 2*d - 6. What is 3*r(m) - s(m)?\nAnswer: -m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 45. Let m = 1.2 - 0.2. What is the biggest value in -4, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.97 - 115.97. Let i = 68 + q. Let j = i - -46.99946. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7156651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/310 and 47\/2.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25017373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2*q + 2*q + (-2*q + 5*q - 2*q)*(1 - 5 + 6)*(3*q + 0*q - q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j*r**2*w - j*r*w - j - 15*r**3 - 2*r wrt r?\nAnswer: 14*j*w - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 46. Solve 10 - 22 = -g*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97\/(-194))\/((-3)\/(-3366)*33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*l**2)*(-3 + 0 + 2) - 2*l**2 - 7*l**2 + 3*l**2 in the form p*l + i*l**2 + x and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3823 - 1896. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j + 6 - 18*j + 0*j**2 - 4*j**2.\nAnswer: -4*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -391*u**5\/20 - 493*u**2\/2 + 804*u. Find the first derivative of g(j) wrt j.\nAnswer: -1173*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209856.3 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 221?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1179*h**2 + 42 - 10*h - 29 - 63 - 23 wrt h?\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from omcoomo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537708 is divided by 805.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5754090 and 3150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + 10 + -12 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1663*f**5 - f - 4494?\nAnswer: -33260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 16530?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11925698353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/(-1575) - (-194)\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 127*q**6\/6 - q**4\/2 + q**3\/3 + 420*q - 157. Find the third derivative of c(x) wrt x.\nAnswer: 7620*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -5*j + 4*h, -10*j + 26 = -h + 47 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -611*k. Let g(q) = 9*q. Determine g(m(w)).\nAnswer: -5499*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*b**5 - 27*b**2?\nAnswer: -5760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b - 3. Let k = -6 - b. Let g be (k\/4)\/(294\/112). Is 8 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661750 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + (1 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 0.57, -6, -1 in decreasing order.\nAnswer: 0.57, -0.1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, 6 in descending order.\nAnswer: 6, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.015 - -55.985. Let d = 55.6 - y. Which is the nearest to 0.1? (a) -4 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222367421?\nAnswer: 103, 157, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*m**2 + 2457*m + 134499 with respect to m.\nAnswer: 44*m + 2457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 4 = 16*p. Let a(x) = 5*x - 3. Let i(l) = l - 1. Let m(w) = p*a(w) + 2*i(w). What is m(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 52 - 18. What is the units digit of (1*(-417)\/w)\/(3\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2837 - 116292 = 4843*z + 21318 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -107 + 31\/2*j**4 - 12*j**2 + 0*j + 0*j**3. What is the second derivative of p(i) wrt i?\nAnswer: 372*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -52, -79?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2038, -4100, -6186, -8302, -10454, -12648?\nAnswer: -14890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opcb when four letters picked without replacement from {k: 2, o: 5, b: 1, c: 2, p: 2, h: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.3. Let y = -0.3 - -0.5. Let b = -587 + 583. What is the third smallest value in y, b, -5\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 4012851266 - 2006425662 - 2006425604.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*f - 5. Suppose 3*g = 5*y + 2, -g = -f - 3. Find d, given that -1\/3*d**4 + 0*d + 1\/3*d**y + 1\/3*d**3 + 0 - 1\/3*d**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -316 + 343. Solve d*w - 19*w + 32 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010904147 to 6 decimal places.\nAnswer: 0.010904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 96*y**3 + 7*y**2 - 13*y. Does 23 divide d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmff when four letters picked without replacement from pfmflyypmhmf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 7. Let d = 25 - s. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2331 + 6*y + 2320 - y. Let k be b(4). Solve 4 = -4*t, 0*s + 4*t + k = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 10*u**2 + 6. Suppose 8*z - 13*z = 5*o - 660, 0 = -5*o - 10. Suppose z = -10*p + 34. What is a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yckcygycckkcykk. Give prob of sequence kkcg.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q + 8. Let x(f) = f**3 - f**2 + f + 2. Let u be x(q). List the prime factors of 2 + -2 + 2 + u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7298 and 79\/4.\nAnswer: 14596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9893 - -0.0107. Let f be (-2)\/(-8) - 6\/(-24). What is the biggest value in -1\/4, x, f, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-9)\/((-9)\/2))\/3. Let w(n) = n + 24. Calculate w(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34279753*i**3 + 10098406*i + 1 wrt i?\nAnswer: -205678518*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - (-124)\/44. Suppose -5*p + 22 = -b*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 56*d + 339. Let h be j(-6). Find the second derivative of n + 4 + 2*n + 0 + 569*n**4 - 10*n**h - 566*n**4 - 30 wrt n.\nAnswer: 36*n**2 - 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6072648 (base 9) to base 5.\nAnswer: -1312032221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/400 and (-744)\/(-105) + (-178)\/623?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**7\/840 + g**6\/120 + g**5\/60 - 5*g**4\/24 - 15*g**3\/2 - 7*g. Let n(q) be the second derivative of b(q). Give n(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(147\/35 + -4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 128*m + 8322. Let a be l(-65). Solve 19*y = -a*w + 22*y - 10, 3*w + 3*y - 15 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*k - 3973*k - 1683*k + 399*k - 433125 = 0 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 100. Let j(p) = -p**2 - 19*p - 41. Let u be j(-18). What is the remainder when 29 is divided by h(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w - 9. Let g be y(7). Let h be 142\/(-390) - 10\/(-75). Let s = h + 25\/52. Sort g, 2\/13, s in ascending order.\nAnswer: 2\/13, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 2*p**4 + 0*p**4 + (13 - 13 + 4*p**2)*(7*p**2 - p**2 - 7*p**2) + 6 + 0 + p**4 + 0 + 7*p**4 + 19 - 19.\nAnswer: 6*p**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3184 - -4100.227.\nAnswer: 4097.9086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 8*r**2 + r + 9. Let b be t(-8). Let a(z) = z**2 - z + 1. Let v be a(b). Is 17\/3*15\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-1)*(-1)\/(-2). Let q = 3 + -5. Let v be 1\/(q + (-39)\/(-18)). Solve -v - 3 = -b*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*q - 24 + 4, -2*q = -3*k - 8. Suppose z + 12 = 7*z. Solve -4*h - 5*n = -z*h - 12, -h - n = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124264, 248480, 372710, 496954, 621212, 745484?\nAnswer: 869770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1495.3 - -256.3. Let p = -1239.005636 - m. What is p rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/540 and -157\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*m - 69. Let k be ((-6)\/(-8))\/(m\/(-16)). What is o in -2\/3 + 4\/3*o**2 + 2\/3*o + k*o**5 - 2\/3*o**4 - 4\/3*o**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h*h**8))\/h*h)\/(h*h**(2\/15)))\/((h*h**8)\/h**0))\/((h\/(h*h**(-7)*h)*h*h)\/(h**(2\/27)\/h))**(-49) assuming h is positive.\nAnswer: h**(56732\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.54 and 1.81798?\nAnswer: 2.35798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**2 + 228*s - 517. Determine y(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1223, 1228, 1233?\n\"Answer: 5*c + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6981 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-12)*(-1)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*n + 9. Let z be 0 - 0 - (-2 + 15). Let r = n - z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.091+-855\nAnswer: -854.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168915.\nAnswer: 3, 5, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m + 22*m**3 - 22*m - 27*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*m - 33 = 0, -5*y + 289*m = -0*y + 287*m + 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/564, 4, -0.3, 2, -5, -3\/5, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520086 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 11*k - 5. Calculate p(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let x = v + 6. What is the greatest common factor of x and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {z: 3, n: 1, t: 1, k: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 117077*m + 0 + 5.\nAnswer: 117077*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7968*z + 2562*z - 13438*z - 25523*z.\nAnswer: -44367*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 274022\nAnswer: -274014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 21*v - 15*v + 28*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7516 - -7726.32. Round o to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/(-5) - (-6)\/15. Let a = k - -6. Suppose -a*p + p + 4 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-641.\nAnswer: 192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - o + 2*o - 3*o + o + 5 - 5 + 1 - 1 - o + (0*o - 5*o + 4*o)*(3 - 3 - 2) - 4*o + o + 4*o.\nAnswer: o + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/232*(-2784)\/72\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 524*s - 522 = 0.\nAnswer: -261, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = 2*i - 10, -5*i = 5*x - 65. Let w = i - 9. Put -5, w, 1 in descending order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + -47)\/((-10)\/4 - -1). Calculate the highest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4, -o = o - 3*f - 60. Suppose 3 + o = -3*v. Let m = 2 - v. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-24)\/90)\/((-36)\/(-6)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p + 17. Determine f(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33600, -67028, -100470, -133932, -167420?\n\"Answer: -a**3 - a**2 - 33418*a - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4463104 (base 8) in base 7?\nAnswer: -13151351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f + 627*f**3 + 80*f - 102*f**3 - 40*f.\nAnswer: 525*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 23 + 41 = 0. Let y be (21\/(-6))\/(((-16)\/(-8))\/l). Let b(h) = h**2 + 7*h - 5. Give b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:44 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 945.49 rounded to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1467 and -149\/180.\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*g = 0, 1 = -4*a - 7*g + 2*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l - 36 = 0, 0 = -5*i + 5*l - l + 36. Suppose 2*j = 2, i + 10 = 2*d + 4*j. List the prime factors of -27*(2 - d) + (-2)\/1.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-2\/7)\/u)\/u*u*u)\/u**(-5\/3) assuming u is positive.\nAnswer: u**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.04 (b) -10 (c) -0.4 (d) 0.26 (e) 4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22045 is divided by 10916.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(-9\/10)*(k**0\/k)\/(k\/k**(-21)) assuming k is positive.\nAnswer: k**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052204289 rounded to four dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/241 - -105\/11086. Do 15\/8 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r + 8. Let z be o(8). Let l be (-4)\/(-6)*(2 + 1). Suppose p + l*p = z. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5 - 8*a**4 - 216*a**3 - 352*a**2 + 212*a + 360 = 0?\nAnswer: -5, -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + c)*(-2*c**2 - 7*c**2 + 2*c**4 - 2*c**2).\nAnswer: 2*c**5 - 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l)**(2\/39)\/(l\/l**(-13)*((l*l*l**(-1\/15)*l*l)\/l*l*l)\/l) assuming l is positive.\nAnswer: l**(-3467\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Let v(d) = 32*d - 32*d - 5 + d**2. Let a(q) = -4 + 1 + 2. Let l(x) = 5*a(x) - v(x). Calculate p(l(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42532290 divided by -135\nAnswer: -315054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*(1 + (-403)\/372).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11397 + -8316. List the prime factors of u.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447693 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: (-95816)\/(-3422)*5\/(-4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 38364\/(-31970)*(-9*5)\/(-3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Suppose o = -n + 2*n + 6. Let x(l) = -5*l - 1. What is the units digit of x(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (-6 - (-11 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 463*b**2 + 6209*b + 12413. Give y(-2).\nAnswer: 1847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*m = 174 - 28, s = -m + 75. What is the first derivative of -s*o**3 + 172 - 340 + 166 - o**2 wrt o?\nAnswer: -231*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15486 divided by -3\nAnswer: -5162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 8 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 229333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 2. Let h(z) = -13*z - 9. Let r(o) = 2*h(o) + 9*p(o). Let n(g) = -2*g. Calculate r(n(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.6147009 minutes to weeks.\nAnswer: 0.000953839375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 785282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {q: 2, y: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h - 415149 = 5*h. What are the prime factors of h?\nAnswer: 3, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123240960 is divided by 308.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22405351 - -5?\nAnswer: -22405342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 100. Suppose -z = -y + 13. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170472743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.684041 to 1 decimal place.\nAnswer: 275.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1bc7d1?\nAnswer: 1bc7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -579, -14, 2, -12, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, -1, -12, -14, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + -1 + (sqrt(11)*2 + 2)**2 + sqrt(55)\/((sqrt(50)*2 + sqrt(50))\/sqrt(10)).\nAnswer: 47 + 61*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4668 - 948. Is z a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrrrtrr. Give prob of picking 2 r and 1 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633074 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0\/(-1))*2. Suppose s*l = 7*l - 3*d - 59, d = -5*l + 47. Calculate the highest common factor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/13, -2\/7, 0.5, 237, -0.1, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/727 + 12921\/39985. Let b = -8\/11 + g. Let i = -7 - -2. Put -4, i, b in decreasing order.\nAnswer: b, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 25. Let a be v(16). Let j(y) = 14*y**2 + 11*y + 17. Let o be j(a). What is o rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = -5*w + 8*w, 0 = -5*w + 2*f + 7. Let x(a) = 2*a - 519 + 520 - w*a. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-4)*(-39)\/819. Let y be 0 - 4\/224*-34. Let o = y - 6\/7. Sort h, -3\/2, o in descending order.\nAnswer: h, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208616566.\nAnswer: 2, 59, 1767937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 1.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = d - 0, -4 = 2*d. Suppose -h = 2*j + 26. Find the common denominator of ((-33)\/j - 2)*-106 and 17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13807440 and 16568928.\nAnswer: 82844640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 42*h - 246. Let y be z(6). Suppose -n = -y*n + 2*m + 2933, 2*n - 1177 = -3*m. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/7)*k)**28\/((k*k\/(k*k\/(k\/k**3)))\/(k\/(((k*k\/k**(-1\/3))\/k)\/k))) assuming k is positive.\nAnswer: k**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596 + 16*x**3 - 596 + (2 - 2 - 2*x**2)*(-2*x - 4 + 4) - 2 + x**3 + 2)*(0*x - 3*x + 0*x) + 2*x**4 + 5*x**3 - 5*x**3.\nAnswer: -61*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b - 41576. Let p be z(0). Let r be p\/(-8) + (-6)\/2 + -1. Suppose 4*w = -w - 2*x + r, 2*w = x + 2079. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 3 - 3)*(-6*y + 0*y + 23*y) - 3*y**3 + 2*y**5 + 3*y**3 - 7*y**2.\nAnswer: -15*y**5 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-95)*(-100)\/(-60)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**5\/20 - 5*m**4\/16 - 3*m**3\/4 - 7*m**2\/8 - m\/2 + 15. Factor p(s).\nAnswer: -(s + 1)**3*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4\/5 (c) 309\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**4 + 0*y + 0 + 1\/4*y**5 - 1\/4*y**3 - 1\/4*y**2.\nAnswer: y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - -1005\nAnswer: 1003.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 85380?\nAnswer: 170760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/7872 and -89\/51955200.\nAnswer: 51955200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -3*v**2\/2 - 65*v - 11. Let l be r(-23). Suppose -l*g + 882 = 2*n, 4*g - 3*n = -2*n + 891. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*o + 3*p, -6*o - p - 63 = -398. Calculate the highest common factor of o and 4895.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 4 - 1) + 85\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/4))\/(i\/i**15))**4*((i*i*i\/(i*i\/i**(-6\/7))*i)\/(i*i**(4\/13)))**28 assuming i is positive.\nAnswer: i**(785\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i + 24998 = 338*i + 53*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -124?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let p(k) be the third derivative of 11*k**6\/120 + k**4\/12 - k**3\/2 + k**2. Let o(u) = 2*u**3 - 2 + u + 1 + 2*u**3. Determine v*p(d) + 8*o(d).\nAnswer: -d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*r**4 + 0*r**2 + 2\/3*r**3 - 1\/3 - 2\/3*r.\nAnswer: (r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-102)*(25\/(-5))\/(-5)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23165431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 v when three letters picked without replacement from {n: 1, j: 1, o: 9, v: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from wxxwwxxwxx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 128 = 73. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a638aa4 + 2?\nAnswer: -1a638aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 576168610 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/60 - 29*k**3\/15 + 57*k**2\/10 - 155*k - 144. Let j(x) be the first derivative of l(x). Factor j(n).\nAnswer: (n - 57)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 w when three letters picked without replacement from {a: 1, w: 2, d: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - 6) + 12 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 15*b - 43. Suppose -3*q + 2*j = -66, -18*q - 5*j = -16*q - 6. Give m(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -6, -4, -3 in ascending order.\nAnswer: -6, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 17*d - 17. Calculate g(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13842 is divided by 935?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*x + 343 + 215 = -2072 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/488 + -18047\/4392. Calculate the common denominator of 240\/72*(-6)\/(-44) and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178400000 rounded to the nearest one million?\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-228) - 18\/171. Which is the fourth biggest value? (a) -2 (b) g (c) -285 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -312422\nAnswer: 62484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1557 = 3*i, -5*z - 2*i + 1562 = -0*i. Let d be (-48)\/z + (-186)\/(-26). Solve -d*n + 4*n = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*10930\/15. Suppose 4*s - d = 696, -5*s + z = 5*d + 198. Let y = s + -81. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 164034.4ml?\nAnswer: 164.0344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 45*w + 485. Determine f(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1100113321?\nAnswer: -1100113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 68 = k*j + w, -3*j + 2*w + 9 + 31 = 0. What is the highest common factor of j and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3376 (base 9) to base 14.\nAnswer: -ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, 6, 5, -1.93?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.751266 seconds?\nAnswer: 0.000208685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(252) + 0 + sqrt(252) + 4)*-2 + 3 + -3)**2.\nAnswer: 10560*sqrt(7) + 102736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 3\/5 (c) 3 (d) 2\/13 (e) -83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5*k + 2637*h**3*k**3 - 88*h*k**3 + 2*h*k**2 + h*k + 33*h wrt h?\nAnswer: -40*h**3*k + 15822*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-54))\/((-116)\/1305).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 6*d = -4*d - 171 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29073*h - 23*h**3 + 14536*h + 14537*h.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974772.\nAnswer: 2, 493693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 4*q - 690. Solve 68*x - q*x - 2*k = 4, 4*k = 5*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + (-22 - (-32 + -7)) + 22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 24\/(-56).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(120) + sqrt(120)*-5 + sqrt(120))\/sqrt(2))\/(sqrt(72)\/(sqrt(12)\/sqrt(2))).\nAnswer: -3*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -358 (b) -3 (c) 47 (d) 1.307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 583458.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10719289 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -1061, -1582, -2087, -2570, -3025, -3446, -3827?\nAnswer: -4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5970 and 398.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 49, 5, -8 in descending order.\nAnswer: 49, 5, -3, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/3 - 3*v**2\/2 + v. Let k be j(-3). Solve 4*w + 4*b = 24, k*b + 8 = 3*w + 4*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = j + 4*n, 52*j - 54*j + n + 15 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-760)\/(-684))\/(2\/(-4)*((-9856)\/126)\/22).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/2 + 13\/26. Let j = -9 + n. Let h(c) = c**3 - 4*c**2 - 3*c. Is h(j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9178273*d**3 - 124*d**2 + 3*d - 3065 wrt d.\nAnswer: -55069638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.2 - -1.2. Put x, -0.4, -6 in decreasing order.\nAnswer: -0.4, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**3 + 11*h**2 - 29*h - 70. Let w(l) = 6*l**3 + 5*l**2 - 14*l - 28. What is 2*t(n) - 5*w(n)?\nAnswer: -4*n**3 - 3*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -10 + -1 + (0 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1461677 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 180507681 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = 67*v + 557 + 486 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35414, -70679, -105992, -141353, -176762, -212219, -247724?\n\"Answer: -24*s**2 - 35193*s - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -33 (b) -2 (c) -2\/19 (d) 0.16 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 79, 4, 2 in ascending order.\nAnswer: 2, 4, 5, 11, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -3232, -11039, -26238, -51289?\nAnswer: -88652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/9990200 and -61\/693.\nAnswer: 629382600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 0, 4, -11589 in ascending order.\nAnswer: -11589, -86, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from rrrccjpccj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186795 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjlpljpeklekjjpjepl. What is prob of sequence pe?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3221 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/(15\/(-120))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.9 rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f**2 - 39*f + 6. Let j be q(-4). Solve j*g = -5*n + 15, 4*n = -g + 2*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2 + 2*u + 1. Let c(n) = -n**2. Calculate b(h) - 5*c(h).\nAnswer: -h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p - 36. Let v be 26\/6*4\/(28\/21). Suppose -3*n - 5*h + 25 = -v, 0 = 4*h - 16. Calculate the highest common factor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 248 = -2*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 571140311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -60?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3618 is divided by 3599.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258623900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2 - -1 - -38. Let p = 1 - s. Let w = p - -54. What is the smallest common multiple of w and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*f + 2*f + 93, -2*r - 3*f + 79 = 0. Suppose -45 = -4*d + r. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 0 - -1 - -56 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*sqrt(1088)*-2)**2 - (4 + 1 + sqrt(1088) + 3)) + 0 + 0.\nAnswer: -8*sqrt(17) + 108792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2456\/(-921)*6\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 17039051857?\nAnswer: -17039051856.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 24. Let l be j(13). Let h(f) = 19*f**2 - 3*f + 3*f - 9*f**3 + 2 - 20*f**l. What are the prime factors of h(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*q**5 + 4*q**2 + 4*q wrt q.\nAnswer: 31200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20243432 + 3?\nAnswer: 20243440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4312 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56467046, -56467048, -56467050, -56467052?\n\"Answer: -2*m - 56467044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (0 + 1)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kkkkkukkkkukkkkddd.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 4 - 4*l + 16.\nAnswer: -4*l + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 13. Does 19 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + 3 + 31. Suppose -158 - m = -2*n. What is the highest common divisor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -14, -0.0693, 2?\nAnswer: -0.0693","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*x + 124*x + 6*x**3 + 2 - 9*x**3.\nAnswer: -3*x**3 + 15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3161?\nAnswer: 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/6 - 1\/(-4)*2. Solve 0*l + 3\/2*l**2 - 2\/3 - 1\/2*l**4 + b*l**3 = 0 for l.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 277*u - 3 - 1794*u + 22 to the form h*u + d and give h.\nAnswer: -2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844163.\nAnswer: 844163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 12\/5 + 6\/5*b**3 + 3\/5*b**4 - 12\/5*b - 9\/5*b**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 8*i)*(-61 + 64 - 2*i**2 + 9*i**2 + (2*i + 1 - 1)*(i + 0*i + i)).\nAnswer: 88*i**3 + 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - x + 3 = 0, -5*o = -8*o - x - 3. What is the nearest to 0.2 in 0.04, -6, o, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 135*m**2 - 130*m.\nAnswer: -5*m*(m + 1)*(m + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3864 = 5*l, -3*l + 1542 = -l - 4*r. Let s = -703 + l. What is the highest common factor of s and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 21348?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeyyeeyee. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.237078 - -0.237. What is r rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 2. Let j be c(3). Let u(r) be the second derivative of r**3\/6 + r**2\/2 + 606*r. Let m(h) = 2*h + 2. Calculate j*u(d) - m(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -246 (base 8) to base 7\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/12 - 33*w**2\/2 - 67*w. Let u(y) be the first derivative of b(y). Let q(o) = 70*o + 2. Give u(q(s)).\nAnswer: 140*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2*n**2 - 26 + 21*n**3.\nAnswer: 21*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 467, 1040, 1831, 2834, 4043, 5452?\nAnswer: 7055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 630 = -3*m + 708, 0 = m + 4*f - 446. Suppose 2*r - 8*b + 6*b = -380, 0 = 5*b - 20. Let d = m + r. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.327 + -0.176. What is b rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.401 - 7.431. Which is the nearest to -1.2? (a) 1 (b) o (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 - -327. Let c be (-1495)\/(-52) + (-81)\/108. What is the greatest common divisor of n and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5042 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 + 2*d**2 - 5 + 0 + 6 to the form p*d**2 + t + n*d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(275) - 1*(1 + sqrt(17)).\nAnswer: -4*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150, 416, 682, 948, 1214?\n\"Answer: 266*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 5*a + 9. Let b be y(6). Suppose 40*w**5 - 42*w**5 + 3*w**3 - w**b = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u)**(-7\/12) assuming u is positive.\nAnswer: u**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127203322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(-4)\/(-10) + 6. Find the second derivative of -5*i**4 + i**3 - 21*i**3 - 74*i + 3*i**4 + 3*i**2 - 3*i**t wrt i.\nAnswer: -24*i**2 - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.0424 + 2.1. Let y = 0.098 - x. What is y rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 + 879*l**3 + 2*l**2 - 2381 wrt l?\nAnswer: -4*l**3 + 2637*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z - 8. Let o be v(-6). Let l be 54\/o + (-4)\/10. Solve -l + 3 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 0\/(1 - -1). Suppose 6*r = 3*r + 15. What are the prime factors of (-1 + r)*(-14)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/720)\/((-3)\/(-27)))\/((-10)\/(-36))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -471 + 471.227. Let r = 4.773 + u. Which is the fourth biggest value? (a) 3\/7 (b) -7 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/10 - l**4\/24 + l**3\/6 + 2*l**2. Let k be w(1). Let t be k\/(-6) + -1 + 2. Solve t*g = -3*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) -4 (c) 3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 2355*n**2 - 4745*n + 7095.\nAnswer: 5*(n - 473)*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o + 2. Determine i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6059, -226.\nAnswer: -226, 2, 6059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + r - 8866, 0 = -3*s - 96*r + 101*r + 8842. Is 63 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d9 (base 16) to base 3.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12849, 25751, 38663, 51591, 64541?\nAnswer: 77519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, -4, -0.4, 0.4, -8\/81?\nAnswer: -8\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275342629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400320 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2296 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*u + 6, -12*u = -10*u - 5*z - 15. Sort -12, u, 0.4 in increasing order.\nAnswer: -12, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3436, -3437, -3438?\n\"Answer: -v - 3435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 11*o**2 - 31*o + 28. What is c(13)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-29 - (9 - 17)) + -11.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 4*c**2 + 7*c + 12. Let o be s(-5). Suppose o + 1 = -n, -v + 87 = -4*n. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3323 - 3?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284\/5 - -57. What is the nearest to f in 4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16004 is divided by 5161?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/25670?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/12 - p**3\/6 + 4*p**2. Determine y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -209*d**6\/120 + 187*d**5\/60 + 2*d**2 - 59*d. Find the third derivative of b(q) wrt q.\nAnswer: -1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**5 - m**3 + 1. Let p(y) = -30*y**5 - 5*y**3 - 4*y**2 + 1. Let t(l) = 10*o(l) - 2*p(l). Find the third derivative of t(r) wrt r.\nAnswer: 4200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75743243 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100606044 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = y - 8, 4*q + 4*y = 3*q - 19. Let f(a) = a**2 - a + 8. Let s be f(q). Solve -5*x + 0*g = g + 23, -5*g = -2*x - s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 10:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnnninronorr. What is prob of sequence ro?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 36*t**3 - 13*t**2 - 13*t + 117. Is d(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + (sqrt(325) - (sqrt(325) + (sqrt(325) - (4 + sqrt(325))*4))) + sqrt(325) + (sqrt(325)*-2*4 - (-2 + sqrt(325))*5) + -2)**2.\nAnswer: -1890*sqrt(13) + 26766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Is 35 a factor of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/15 - q**2. Let l(c) = 2*c. Let d = 0 + -2. Let k(t) = -2*t. Let y(p) = d*k(p) - 3*l(p). Calculate y(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -5, -0.2, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036085.\nAnswer: 3, 5, 149, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -7045542?\nAnswer: -7045547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35590593 rounded to 4 dps?\nAnswer: -0.3559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 721.2404 millennia?\nAnswer: 7212.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/36*-20*(-1)\/(-5)*42.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u - 161. Let h be i(-13). Let n be 11547\/12 - 2\/h. Calculate the greatest common factor of 148 and n.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3484 divided by -10.\nAnswer: -1742\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -495 - (0 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49169\/8472 + 84\/353. What is the common denominator of x and 103\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 24*o - 140. Let d be z(-12). Solve 0 = d*n + 5 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4df706 (base 16) to base 11.\nAnswer: -297a93a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -5, 5, -21, 9 in increasing order.\nAnswer: -21, -12, -5, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/(q\/q**(-3)))**(-8) assuming q is positive.\nAnswer: q**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/7)\/65*-1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((2\/(-7))\/((-33)\/(-154)))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l**(-13))\/((l\/((((l\/((l\/(l*l**(-2\/3)\/l*l))\/l)*l)\/l)\/l)\/l))\/(l\/(l\/((l\/l**24*l)\/l))*l*l)) assuming l is positive.\nAnswer: l**(-131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3125.92 times 0.2\nAnswer: 625.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 60. What is the remainder when w is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l + 101. Let x be v(-18). Calculate the greatest common factor of 259 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*o + 4*z - 162 = 0, -65*o + 5*z - 264 - 3246 = 0 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/36 and -50\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(7\/8))**(5\/17) assuming j is positive.\nAnswer: j**(35\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 2, h: 1, u: 3, o: 3, f: 3}. Give prob of sequence hu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216798 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((108\/(-72))\/(4*6\/(-4))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13.6. Let m(k) = -k. Let s be m(-1). Which is the second biggest value? (a) o (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1638*i. Let d(m) = -2*m**2. Determine f(d(u)).\nAnswer: -3276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 37. Let m = -454 + 459. Let c be g(m). Are 1\/3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318*c**2*l + 934549*c**2 - 2*c*i - 6*i*l - 18*i - 5718*l**2 with respect to l.\nAnswer: -318*c**2 - 6*i - 11436*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15958 - -16026. What is the third biggest value in d, -0.4, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 - 3321*l**3\/2 - 39564*l**2 - 315744*l - 840960 = 0. Calculate l.\nAnswer: -2190, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 388581 + -367?\nAnswer: 388213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*g - 16 = 0, 13 = 4*o - 2*g - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4846137.\nAnswer: 3, 31, 107, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726658509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 120. Suppose 5*j = 5*m - 35, -8*m = -4*m - 2*j - 36. Determine d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.1117 - -0.1367. Let y = a + 29. Let k = y - 0.025. Which is bigger: 3\/13 or k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*(-3 - 0). Let q = 7 - t. Suppose 296 = q*m + 66. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2174406529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 + 17 + -68 + 7 + -18 + 4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 6. Let d(r) = r**2 + 6*r + 4. Let o be d(h). Suppose t + o = 663. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 12)\/(-8 + 7). Let w be 9\/(-15) - p\/((-65)\/18). Suppose -w*u = -0*u - 195. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccscccccccscccccs. What is prob of sequence cscc?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24090719, 96362849, 216816399, 385451369?\nAnswer: 602267759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1) + (-352)\/174. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/9838453 and -55\/493?\nAnswer: 167253701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7182396 and 1783548.\nAnswer: 265748652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 1 + 1 + 1)*(-86*c**2 - 1461 + 1461) to l*c + p*c**3 + b*c**2 + n and give b.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3145, 3143, 3139, 3133, 3125, 3115, 3103?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 205270*w**2 + 2564792800*w + 8813935088000.\nAnswer: 5*(w + 5614)*(w + 17720)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 168073501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 + l + 5. Let y(i) = -30*i**2 + 4*i + 15. Let m(k) = 17*j(k) - 6*y(k). What are the prime factors of m(-3)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -14. Suppose i + 8 = -l*c, 0 = 4*i - 6*i + 2. Sort -5, 5, -2\/3, c in ascending order.\nAnswer: -5, c, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 572611 + -393615. Suppose -n = -3*h + 2*h - l, 0 = -h + 4. Round n to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(264) - sqrt(264)) + sqrt(264))*1 - sqrt(264))\/sqrt(11))\/(sqrt(24)\/(-1*sqrt(2)) - -3*sqrt(48)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 - 16*v - 813. Let s(w) = 11*w**2 - 11*w - 544. Give 5*o(d) - 7*s(d).\nAnswer: 3*d**2 - 3*d - 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 5241467\nAnswer: 13103667.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6397785, -12795570, -19193353, -25591134, -31988913, -38386690, -44784465?\n\"Answer: b**2 - 6397788*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838 greater than or equal to 1838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 147.652979\nAnswer: 29.5305958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36990 + 61320. Let u = c - 24327.90088. Let x = u - 2.1. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = s - 203, 2*s + 121 = 3*f + 7. Suppose -5*k + f = -k. Let j = k + -7. Solve -3*t - 6 = -j*d, t - 5*d + 2*d + 6 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*r, 5*r + 9 + 21 - 46 = 3*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*j + 261 - 789, -21 = -u + 2*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((54\/9)\/(-18))\/((-2)\/12). Let t = -15\/22 + 83\/154. Which is greater: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 w when three letters picked without replacement from {f: 1, l: 2, w: 1, o: 1, i: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254212963*r**2 + 6447799*r + 6.\nAnswer: 508425926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-51)\/34)\/(1\/(-2)) - -2457. Suppose j = -80*t + 84*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 5, -12, -4.\nAnswer: -24, -12, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13559 - 5939. What are the prime factors of j?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 220941*g + 21681030.\nAnswer: -3*(g - 98)*(g + 73745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -62.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/114610 and 11\/39685.\nAnswer: 909659570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 13 + -20 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowoooowwoowoowowww. What is prob of picking 4 w?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 - 196*x**2 - 1080*x = 0?\nAnswer: -5, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*w - w + 43, 2*w - 61 = -5*n. Suppose n = -5*t + 1. Let x(b) = 3*b**2 - 3*b - 3. Let y be x(t). Solve 0 = -3*q - 2*q - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33b35 - -1a?\nAnswer: 33b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89566 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 11, f: 1}. What is prob of sequence kb?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -505 (base 13) to base 3\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -1765 + 1733. Let k = -4 - -5. Let x(p) = p + 1. Let m(s) be the second derivative of s**3\/3 + 3*s**2 + s. Calculate g*x(a) + k*m(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 117.812*-0.5\nAnswer: -58.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -57. Let o = h + 31. Suppose -c + o = -5. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1390547*c**3 - 42*c**2 - 523724088 wrt c?\nAnswer: -4171641*c**2 - 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:25 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1241*k - 161264. Give g(130).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -37597?\nAnswer: -37597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1166 and 528.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.18 + -0.18. What is the third biggest value in -1\/4, k, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {i: 2, z: 7, h: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643\/2 - -282. Let i = y + 41. Put 0, 0.5, i in descending order.\nAnswer: i, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987404 is divided by 1424?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 5. Let i be t(1). Suppose 3*y = -m + 10, -i*y + 5*y - 3*m - 14 = 0. Let w = 4 + -1. Solve 0 = w*g - y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -81*g - 36. Let y be z(-24). Suppose 11*b = -y + 8871. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 26 = -6*u + 2*h, 0 = 2*u - 3*h + 19. Let g = -4 - u. Factor 2\/3*o**g - 4\/3*o + 4\/3*o**3 - 2\/3 + 0*o**2.\nAnswer: 2*(o - 1)*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/7 (b) -4\/3 (c) -0.27 (d) -0.023955\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124 - -128. Suppose 10*p - 15*p + 1797 = r, b*p - 4*r - 1452 = 0. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-9)\/48)\/((-66)\/(-16)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 681 = -771. Suppose 3*a - x = 18. Suppose 2*c + 9 = a. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1647 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from ooqqmmqmqqqqmq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 309680 divided by 38710\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 430 = 280. What is the hundreds digit of (x\/(-4))\/(18\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 102\/14 + (-8)\/28. Suppose -3*u + r = -2. Find the third derivative of -3*i**4 + u*i**4 + 5*i**4 - 5*i**2 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x**2 - 23 + 40*x**2 + 15 - 74*x**2.\nAnswer: 12*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f**3 + f**2 + f - 2. Let q be u(-2). Let g be (-3)\/((-15)\/(-5)*1). Let w be g\/(-4) - 43*1\/(-4). What is the greatest common factor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22036834 is divided by 983?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16))\/((-5)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.01 - -1.1. Let x = m + 0.01. Suppose -3*r + 1 = 16. What is the third smallest value in 0.2, r, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.71 + -315050.360148.\nAnswer: -315032.650148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 448921*n - 448985*n + 897906*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -16337000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3666, -25413, -65240, -123147?\n\"Answer: -9040*g**2 + 5373*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 625 - 625.4. What is the nearest to 2\/9 in 15, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6934 or 3\/5?\nAnswer: 6934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3268)\/266*(-35)\/40*4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*q = -1140 + 324 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 34. Solve 0 = -u*q - 0*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178, -228, -142, 86, 462, 992, 1682?\n\"Answer: h**3 + 62*h**2 - 243*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 7 = 19*x - 18*x, 0 = -a + 5*x + 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, 62, 177, 302, 437?\n\"Answer: 5*b**2 + 90*b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 - 194216?\nAnswer: -194215.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 22 - 18. Suppose -3*g = -6, 4 = y*r - 2*g - 0. Suppose -65 - 21 = -r*w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - -1101101110000?\nAnswer: 1101101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 27*q. Let m(z) = 4*z**2 - 2*z + 683. Give g(m(x)).\nAnswer: 108*x**2 - 54*x + 18441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-25) + 46\/575.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Let y(n) = -n**3 + 5*n**2 + 2*n - 3. Let q = 15 + -11. What is the remainder when y(t) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12869176 by -8.\nAnswer: -1608647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-14) - 26\/65*20\/(-35). Let o(z) = z**3 + 11*z**2 + z + 3. Let v be o(-11). Which is the second smallest value? (a) d (b) 1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7023206*m**3 - 5*m**2 + 1029186*m.\nAnswer: 42139236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1320313 (base 4) to base 5\nAnswer: 221420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 3*n - 7. Let z be i(6). Suppose -z = -4*o - x, 2*o - x = -4 + 11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62747 by 17.\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 53 in increasing order.\nAnswer: -10, -3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**3 - 3. Let w(d) = -232*d**3 + 88. What is -176*s(a) - 6*w(a)?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v - 22. Let y be m(-7). Let p be (2 + 0)*13\/y. Solve b + p*b = 5*d + 10, -2*d - 3*b - 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/252 and 53\/105.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713800 is divided by 31011.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = 0, -4*s + 0*d = -4*d - 52. Solve -3*q = 2*k + s, -2*q = -3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 39 - 10)*(-3 + 2 - 4)*(-5 - 2*r + 5) in the form q + c*r and give c.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -84*f**5\/5 - 116*f**4\/5 + 824*f**3\/5 - 336*f**2\/5 - 416*f\/5 + 128\/5 = 0.\nAnswer: -4, -2\/3, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/1*(2 + (-20)\/12). Suppose -11*m + 15*m = 4*v + 1684, m = o*v + 406. List the prime factors of m.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -333876, -0.5, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 6) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 6 = -5*d. Suppose -2*y + d*y = 2743. List the prime factors of y.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/3))**(-6)*(d*d**(2\/3))**(5\/3))**(-3\/35) assuming d is positive.\nAnswer: d**(13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 13993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 38209773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, 3037, 6310, 9585, 12862, 16141, 19422?\nAnswer: 22705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-50))\/(3\/(-10)). Suppose 0 = 3*s + 85 + 107. What is the remainder when ((-6)\/z)\/((-3)\/s) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1508\/39)\/(27\/((-1539)\/76)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12556 - -175881\/14. Calculate the common denominator of c and 2\/13*43\/(-4).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 + 5*m - 1. Let r = 52 - 58. Determine s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(16\/(-4))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksk. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/4 + i**3\/2 + 3*i**2\/4 - 2*i + 1 = 0 for i.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l - l**2)*(-140*l**3 + 294*l**3 + 283*l**3 + (-2*l**2 + l**2 + 0*l**2)*(0*l + 2*l - l)).\nAnswer: -436*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -115, -85, -55?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155\/6, 1\/3, 4, 3\/2, -1\/6.\nAnswer: -155\/6, -1\/6, 1\/3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*14\/(-21). Let c(x) = 10*x - 5. Let q be c(j). Solve 0*a - 4*g - 22 = a, 5*g + 35 = -q*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2. Let z = 107 + -100. Let f be (-52)\/14 - ((-2)\/z)\/(-1). What is o(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f - 2241 = 0. Suppose -95 + f = 4*n. Suppose -n*o + 160*o = -534. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(15\/10 + -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 5*d**3\/6 + d**2\/2 + 3*d. Let c be k(1). Suppose 2*j - 22 = -c. What is the greatest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 - 1316*p + 432964 = 0.\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhhchhwhhwhhhhh. What is prob of picking 1 h and 1 w?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*(-6)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - r + 8, -i + r = 4*r + 9. Solve -3 = i*n - 0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 207\/2. Let x(b) = 2*b**2 - 2*b - 1. Let n be x(-1). Factor 5\/2*u - y*u**2 - n.\nAnswer: -(u - 3)*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 27870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1163584470*m**3 + 789815*m**2 + 73*m.\nAnswer: -6981506820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/7 - 44*x**4\/7 - 438*x**3\/7 + 1012*x**2\/7 - 529*x\/7 = 0?\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4 + 12030*i**3 + 4908.\nAnswer: 4*i**3 + 36090*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101.02782221 minus 0.1?\nAnswer: 4100.92782221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from sswps?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001170611 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-9))\/((-3)\/(-9)). Let b be (-10)\/3*(7 - q). Let m = -6 - b. What is the smallest common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -42. What is the least common multiple of l and (-16)\/(-3)*6\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + -8. Is 2 a factor of (c\/6 + -1)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 72 - 35 - 8*d - 38. Give j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 3 + -9 + 2. Let t(l) be the first derivative of 1\/2*l**2 + 0*l + 0*l**3 + 1\/4*l**u - 6. Find the second derivative of t(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558990 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/31 (b) -13204 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*y + 56, -5*y + 2*y + 2*v + 41 = 0. Let r = 30 - y. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/30 + 9*y**4\/8 + 2*y**3 - 51*y**2\/2 - 3*y - 5. Let s(t) be the first derivative of u(t). Differentiate s(x) wrt x.\nAnswer: 4*x + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2740\/(-200) + 16 - (-6)\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000311652774 rounded to seven decimal places?\nAnswer: 0.0003117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1228584721 to the nearest integer?\nAnswer: 35051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*(-21)\/(-18)*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeieqgmqmggegeq. What is prob of sequence gqim?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, -x = m + m + 6. What is the third derivative of 184*i**4 + 106*i**x - 375*i**4 - 2*i**2 + 114*i wrt i?\nAnswer: -2040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 8*i - 112. Let g(n) = 3*n - 12*n + 9 + 8*n - n. What is g(i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -9\/5, -1 in increasing order.\nAnswer: -9\/5, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -580998324413 less than -16?\nAnswer: 580998324397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5 - bb?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-144)\/160)\/((-18)\/30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*5633\nAnswer: 394.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence polo when four letters picked without replacement from {l: 11, o: 3, p: 4}.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11947437?\nAnswer: 3, 857, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3 (c) -0.22 (d) 2\/71 (e) -2\/5 (f) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 3. Let x = -5 - -11. Let w be ((-1)\/2)\/(1\/(-6)). Suppose -g - x = -w*g. Give u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 + 7*w**2 + 9*w**2 + 8*w**2 + 17*w - 55*w**2 to the form t + l*w**2 + x*w and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -8*q - 1\/6*q**3 + 2*q**2 + 0. Suppose 0 = 5*p - 3*p - 4. Give g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5310)\/(-20))\/((-2)\/4 - -1). Let v = y - 258. Let h = -155 + v. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1.3, 5, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 38. Let p(r) = -3*r**2 - 7*r + 10. Let g be p(-3). Suppose -g*d - m = -71. Solve -4*q - 7 - d = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 3*y**2 + 4*y + 6. Let o be s(-4). Let d = 45 + o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a - 499?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40332660 by -317580.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27*d + 204. Determine b(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 132685\/91 + (-11)\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = 33*z - z. Solve z = 31*w - 470 + 532 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 + -151. What is the smallest common multiple of k and 9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-9))\/(3\/18). Suppose -x*q + 1 = -37. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 185*k**2 - 49*k - 263. Is w(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -8*171\/(-2)*770\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -k + 26, c - 6*c = -2*k - 13. Suppose -u + 4*x - 18 = -k, -3*u = x - 3. Suppose 2*r + 6 = u, -5*g - 209 = -3*g + 3*r. Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1300 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:09 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 0*r**3 + 2*r**3 + (-51 - 7*r + 51)*(-2*r**2 - 3*r**2 + 4*r**2).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 349.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*j - 5*p, 2*p + 1087 = -8*j + 1123 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 8*t - 11. Let k be g(7). Let i = 374 - k. What is the greatest common divisor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1320 and 48?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i - 259. Let h be g(-29). Factor 4 - 1\/2*j**3 + 2*j**4 - 5*j**h + 2*j - 1\/2*j**5.\nAnswer: -(j - 2)**3*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985193746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - 2*d**2 - d. Let q = 16 - 17. Let y be h(q). Suppose -18*m = -21*m + 96. Calculate the highest common divisor of y and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 2*v + v - v. Let i(n) = n. What is i(s(m))?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 991919978 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 10\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/14*8\/(-30). Let x = 0.44 + -0.04. Which is the nearest to -2\/5? (a) 1\/5 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l - 97. Give c(-19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*d + 254760 = 436*d + 2466*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.615 - 24.61533562. Round x to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.45 + 4.74. Round r to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93922 is divided by 3233.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kybybkyyb. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w - 3*f + 11, 3*f = -3*w + 24. Solve w*b = 5*h - 7 - 8, -2*b + 5*h = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-25) - (-70)\/(-50). Put o, 0, -20 in ascending order.\nAnswer: -20, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10143 (base 11) to base 9\nAnswer: 22274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 + 0*l**2 + l + 4*l**2 - 3*l**2 + 4*l. Let m(s) = -s**2 + 3*s - 3. Let g be m(3). Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o**3 - 8*o**2 + 2*o - 6. Let w = 518 + -515. What are the prime factors of y(w)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*n - 140 = -164, n = 6*n. Solve 2*w = -4*u + s, 4*u = 3*u + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 22*v - 62. Give u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g*g\/g**(-9))\/g)**10*g\/(g\/g**9)*g*g\/g**(-4\/11)*g)**(3\/13) assuming g is positive.\nAnswer: g**(336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 266, 2, -4, 1 in descending order.\nAnswer: 266, 5, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**4 + 3*u**4 + 23*u**4 + (-3 + 3 - 3*u)*(2 - 2 + u**3).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212203*y - 70876*y - 70502*y - 70828*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q = -3*q + 315*q - 738 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 + -2.8. Let u = 8 + y. Let i = -0.319 + -0.081. What is the closest to 1 in u, i, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30933712 divided by -168118.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -5828951?\nAnswer: -21\/5828951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 8. Let v be i(18). Suppose 7*u - v = 5*u. Let h = u - -147. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let m(j) = -18*j**2 + 6*j + 7. Let k be m(-2). Let p be k\/(-220) + (-6)\/8. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmeqeqmmmbvvbmmdmmqm. Give prob of sequence bmbm.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3248\/3 or 1.22?\nAnswer: -3248\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*w - 63, w + 0*w - 52 = -3*a. Let o = a - 8. What is the remainder when 21 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221405 take away 703?\nAnswer: 220702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) -4 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((11\/33)\/(0 - -1)). Let i be (-3)\/(9\/k)*-2 - 1. Suppose -2*h = -i*s - 5*h + 7425, -s + 5*h = -2487. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124823 is divided by 6240?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13530 - -13539. Solve -c = -3*q + 4*g, 23*g - 18*g = 2*q - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 0, 4*h + 4*a = 8. Suppose -3*s = -s - h*x - 2, 0 = -5*s + 4*x + 6. Let j(b) = 2*b - s*b - 1 - 6 - b. Let c(i) = 1. Determine 5*c(f) + j(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/2 + x**5\/5 - 5*x**4\/4 - x**3\/3 + x**2 - 4. Solve i(t) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 1, t: 4}. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2794, -5694, -8824, -12298, -16230, -20734, -25924?\nAnswer: -31914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28605312675 - -365.\nAnswer: -28605312310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2844\/24 + 5\/2 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 2636.13372?\nAnswer: 2606.13372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + 3*q**2 + q**3)*(1 - 2 + 2) + q**3 - 6*q**3 + q**3 + (-q**2 + 5*q**2 - q**2)*(-4 + 4 - 2*q) to p*q**2 + b*q + c + s*q**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Suppose y + 3*y = 0. Let a = y + s. Which is smaller: 2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -542.\nAnswer: -133\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/47724768 and -29\/305928.\nAnswer: 47724768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586060.8 meters in micrometers?\nAnswer: 586060800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -26. What is the biggest value in d, -0.4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-3 - (0 - 1 - (1 + 3)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 7224.\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 - (4 - -3)) - 6 - (14 + -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(88)\/(-1*sqrt(8)) - sqrt(11)) + (sqrt(50)\/sqrt(2))\/sqrt(5) + 5.\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/72)\/((-8)\/(-3)))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -135?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71175, -71176, -71177, -71178?\n\"Answer: -f - 71174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3*10\/75. Let m = 21 - 21. Suppose m = 5*l + 4 + 11. What is the fourth biggest value in 0.07, l, 2, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-4)*(-119)\/((-8925)\/1080)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.698*-0.2\nAnswer: 0.1396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2247 and 42417261.\nAnswer: 296920827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657758 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47616 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2*r**2 - 5*r + 3. Calculate p(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1061293533 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -472*q + 528*q - 34 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u - 1. Let h(l) = -3*l**3 + 6*l**2 + 16*l + 6. Determine -h(m) - 6*w(m).\nAnswer: 3*m**3 - 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-16\/7))\/(v\/(v**(6\/5)\/v))*v**(11\/2)*v*v**(1\/2)\/v assuming v is positive.\nAnswer: v**(137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/64650 and -107\/180?\nAnswer: 387900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*a**2 - 4024 + 4068 + 393*a**2.\nAnswer: 2*a**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7323176 divided by -14056.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606911443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -15, 0.7 in descending order.\nAnswer: 0.7, -1\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykyk when four letters picked without replacement from {z: 4, y: 1, n: 4, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**8\/6720 + s**7\/630 - s**5\/120 - s**4\/4 + 2*s. Let z(k) be the third derivative of c(k). List the prime factors of z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - -1 - -2 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022431597 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72904 and 765492.\nAnswer: 1530984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 18*v**2. Let h(f) be the second derivative of 0*f**2 - 1\/3*f**4 - 19 + 0*f**3 + 2*f. Calculate i(h(g)).\nAnswer: 288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15558336 + -1762\nAnswer: -15560098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {x: 1, q: 5, n: 10, j: 4}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60*113\/(-115260)*(-4)\/14?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 203. Let j be t(33). Suppose 3*g = 3*h - 15, -j*g = -4*h - 7*g + 20. Solve 0 = -0*v + h*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 2*k**3 + 3*k**3)*(-6*k + 11*k + 4*k) - 2620*k**2 + 2620*k**2 - 48*k**4 to l*k**2 + y + z*k**4 + o*k**3 + x*k and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2502102 + -11?\nAnswer: 2502051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -11006d4?\nAnswer: -11006d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1479, -0.6, -198, -2 in decreasing order.\nAnswer: -0.1479, -0.6, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-4)\/4*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/(-33))\/(40\/12))\/(6\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -34. Let j(k) = -30*k**3 + 6*k**2 - 6*k + 6. Let h(c) = 89*c**3 - 17*c**2 + 17*c - 17. What is n*j(q) + 6*h(q)?\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 10*d - 12. Calculate u(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12 = j + 3*j, -o - 12 = -4*j. Suppose 2*i - 1 - 9 = o. Suppose -i*g + 182 = -3. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -9*h**2 + 1\/24*h**4 + 0 - 4\/3*h**3 + 0*h - 1\/60*h**5. Calculate f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -123547.\nAnswer: 33\/123547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8477, -8541, -8647, -8795, -8985?\n\"Answer: -21*f**2 - f - 8455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-521)\/(-2))\/((-3)\/6). Let s = -1433 - v. Calculate the common denominator of ((-4)\/6)\/2 - (-476)\/s and 59\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*l - 1573 + 1573 + 82*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = 2*i + 3, -5*i = b - 27. Suppose 3*j - i*j - 6 = 0, -2*y + 14 = -4*j. What is the biggest value in -3, -0.3, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 - (0 + -2 + (7 - -4) + -13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/3360 + r**6\/720 + r**5\/480 - 7*r**3 - 57*r**2 + 1. Let b(f) be the first derivative of h(f). What is a in b(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + j = -22*a + 71679, -3*j = a - 17939. What are the prime factors of a?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5092)\/418 + (-2)\/(-11))*(-1680)\/504?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 5 + 5 + 2*s to t*s + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(sqrt(45) + sqrt(5)) + sqrt(57))\/(1*sqrt(3)*6) + ((5*sqrt(171))\/sqrt(9) - sqrt(19)) + (sqrt(171)\/(-4*sqrt(9)))**2.\nAnswer: 19\/16 + 101*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*4\/(-6). Let o = -3615 + 3615.1. Which is the closest to 13? (a) f (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let d(f) = f - 15. Let z(w) = -d(w) - 3*r(w). Let i be z(12). What are the prime factors of 4\/(-6) - (i - (-1176)\/(-9))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/8 - -33\/56. What is the third biggest value in -1\/5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28080 - -28098. What is the least common multiple of o and 1\/1 + (0 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -2, -16, -38, -68?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 + 6*l**2 - l**2 + 3*l**2 - 4*l**2 + 125*l = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:17 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c**4 + 7*c**2 - 20*c - 7. Let t(o) = 7*o**4 - 4*o**2 + 10*o + 4. Let h(u) = -4*q(u) - 7*t(u). Find the second derivative of h(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2895792?\nAnswer: 2, 3, 23, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 573262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 506831.7 millilitres in litres?\nAnswer: 506.8317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84*g**2*v + 73314779*g**2 + 41353*v wrt v?\nAnswer: 84*g**2 + 41353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(324) - -1*sqrt(324) - sqrt(9)) - (-2*(2 + sqrt(11)) + 5))**2.\nAnswer: -46*sqrt(11)\/11 + 540\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -48, -84, -136, -210?\n\"Answer: -i**3 + i**2 - 22*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1245 or 1248?\nAnswer: 1245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123023 + 13?\nAnswer: -123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111011 + -11?\nAnswer: 1000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0)*(-175)\/(-140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 54 - (68 + -50)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -13*u + 12*u. Calculate the remainder when u is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-10))\/(-5) - 4\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42564, 170042, 382122, 678492, 1058840, 1522854, 2070222, 2700632?\nAnswer: 3413772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3901\/31 or -85\/3?\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let j = 7.5 - 7.655. Let q = j + -0.045. Which is the third biggest value? (a) 0.5 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 13) to base 5\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 53, -1\/77, 2?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 66 times 96\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/20*h**5 + 5*h + 1\/2*h**2 + 0 - 1\/3*h**3 - 1\/12*h**4. What is p(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 165 = 0. Let f = -34 + d. Which is smaller: f or -4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3697*b - 29571 = -6573*b - 522531 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487992 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let u(m) = -3*m - 1. Suppose -19*j - 678 - 1526 = 0. Let q = 115 + j. What is q*x(p) + u(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/((-2)\/(-9)). Let v be (-1 + m)*(-4)\/(-36). Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 2634*c + 337824.\nAnswer: 2*(c + 144)*(c + 1173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -60. Suppose t = 2*h - 16. Let g = 61 - h. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 243 - 232. Solve t - i = -2*z, t = -4*z - 3*t + 32 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/27 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 172*b + 3033. What is the remainder when p(-16) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 + 3*o - 11. Let s be p(5). Suppose 6 = -3*g, -4*n + 498 = -s*g - 90. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/120 - 2*q**3\/3 + 5*q. Let g(x) be the second derivative of a(x). Let w(z) = -2*z**2 - 4 - 2 + 6. Calculate w(g(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13*w**12)\/(w**0*w*w*w*w**(8\/7)) assuming w is positive.\nAnswer: w**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241566 (base 7) to base 5.\nAnswer: -2400404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 5*c, -3*m = -m + 5*c - 9. Solve -m*v = -3*j + 17, 5*v - 19 = -4*j - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 348 = 143 - 131 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/674 and 49\/10201?\nAnswer: 6875474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 v, and 1 j when four letters picked without replacement from {f: 2, d: 8, v: 3, j: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 0*a**3 + 3*a**3 + 0*a**3 - 2*a**3 + 0*a**3 + (-5 - 2*a + 5)*(303*a + 20*a**2 - 303*a).\nAnswer: -41*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:51 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 50070.804885433.\nAnswer: 50069.804885433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 9*s - 31. Calculate the remainder when -1*-10*-5*(-2)\/25 is divided by m(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1339496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + -0.37. Let w = z - -0.29. Let p = -0.02 + w. Is p not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/(-8))\/(6\/8). Suppose -3*o + t + 1 = 0. Solve 0 = 3*i + x - 2 - 1, -o*x = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = 18. Suppose -3*t + 16 = -q*t. Let r(l) = l**2 - l - 8. Let i be r(4). Sort i, -2, t in descending order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21517 - 21487.104. Round r to one decimal place.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 84840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 63 = -13. Suppose -2 - v = 3*m. Let g be m\/((-16)\/5)*4. Let p(z) = z**3 - 5*z**2 + 2*z. Calculate p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 528535 divided by 5\nAnswer: 105707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-11060.\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 282778760 divided by 642679?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -546 + 553. Let c(h) be the second derivative of -h + 4\/3*h**3 - 5*h**2 + 0 - 1\/12*h**4. What is c(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-2\/35)*u**(2\/77)*u*u assuming u is positive.\nAnswer: u**(1143\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 24*o + 55. What is f(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12*-2)\/((-1497)\/(-1996))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/148 and -40\/407.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*i = -765 - 880 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:02 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from thjlltjtlthl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-160)\/140 - -2)\/(9\/(-42)). Put 0.4, j, 0.27 in decreasing order.\nAnswer: 0.4, 0.27, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 26. Let q = -530 + 550. Is t less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v + 45 + 18 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4*l - 16, -20*z + 18*z + 3*l - 13 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:13 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by 114.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 2. Let j be (48\/(-21))\/(4\/(-14)). Suppose 2*l + 4*z + j = 0, 0 = -5*l - 5*z - 0*z - 15. Calculate s(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167425366, -167425365, -167425364, -167425363, -167425362?\n\"Answer: j - 167425367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 17*w + 5. Let s(c) be the second derivative of c**4\/6 - 3*c**3 - 2*c**2 - 26*c. Let g(b) = 3*s(b) + 4*v(b). Give g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21400308 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -20. Suppose -333*m = -337*m. What is the remainder when 2 - (m - 42) - (-204)\/34 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 342*u - 1025. List the prime factors of s(31).\nAnswer: 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 2*o - 1. Let m(q) = -q - 10. Let z be m(8). Let c be 32\/z + (-2)\/9. Determine b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -134. Let y = v - 45. Solve 3*a - 7*a + y = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69342873 is divided by 11536?\nAnswer: 11513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4 - 19594*n**3 - 274862*n**2 + 1510714*n + 1765980 = 0.\nAnswer: -18, -1, 5, 9811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-548*f - 183*f - 3*f)*(2 - 6 + 3)*(-2*f + f - f) + (-2 - 2 + 2)*(-7*f + 2*f + 3*f)*(-4 + 2 + 0)*(0*f + 4*f + 2*f) to s*f**2 + n*f + q and give s.\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 585987?\nAnswer: -7\/585987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/(l\/(l\/((l*l*l*l**13)\/l*l)*l*l)))\/(l\/l**1)**(2\/21) assuming l is positive.\nAnswer: l**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92219985 is divided by 408053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.54 - -0.58. Let p = -14 - -13.76. Let u = k + p. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15512 and 19944?\nAnswer: 139608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 9, 0, 13, -14, 4 in ascending order.\nAnswer: -14, -6, 0, 3, 4, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 2 + sqrt(32) + (sqrt(242)*-1)**2 + (6*(4 + sqrt(8)\/sqrt(4) - sqrt(2)))**2).\nAnswer: -822 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 5. Does 7 divide 3\/y + 111\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 21. Let q = 1 + -2. Let i(p) = -1. Let t(w) = 2*w + 6. Determine l*i(z) + q*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 6405922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 - 60. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -278\/33717?\nAnswer: -278\/33717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107472060 a multiple of 3285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 42. Let a(h) = -2*h - 21. Let w(g) = -11*a(g) + 6*y(g). Let l be w(6). Suppose 2*p = -l*p + 15. Solve p*k - 12 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let a(o) = -4*o. What is u(a(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 823, 3261, 7317, 12979, 20235, 29073?\n\"Answer: -2*k**3 + 821*k**2 - 11*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 7) to base 12\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 4 - b**3 + 3*b**2 + 10*b - b. Let r be c(9). Solve 0*m + m = -r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - m + 9 - 1, 3*m = r - 6 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 72896\nAnswer: -3\/72896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-32)*-28*2\/(-4)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -32 + 40*g**2 - 71*g**2 + 38*g**2 - 29*g + 156*g. What is the units digit of q(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -3*o**4\/14 + 20*o**3\/21 - 9*o**2\/7 + 4*o\/7 + 3. Factor l(z).\nAnswer: -2*(z - 2)*(z - 1)*(3*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5567\/13 + 428. Let w(j) = -j + 11. Let d be w(5). Let m(g) = -g**2 + 3*g + 17. Let a be m(d). Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000771 to 6 dps.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = 22*f + 4*k - 2*k - 11, 0 = 4*f + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**40\/i)*i)\/i)\/i*i\/(i*i\/i**(18\/11)*i))\/(i**(-2\/121)\/(i**(-29)\/i)) assuming i is positive.\nAnswer: i**(-8391\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) 4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*t - 349*t - 1658*t = 310*t + 16698 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97076646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*f - 7*f. Suppose 0 = -2*a - f + 21. Solve 5*r = -25, 5*x - 5*r = a - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*n = -1118*n + 2240*n - 40 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1650*p - 9914. Determine r(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 - 3*r - 3. Let t be g(-2). Is t less than or equal to 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*j + 288 = 0, -5*h + 2*h + 452 = -4*j. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147843342 to the nearest ten thousand.\nAnswer: 147840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1396517, -2793032, -4189547, -5586062, -6982577, -8379092?\n\"Answer: -1396515*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*t - 192542. Let f(s) = s**3 - 3*s**2 - 5*s + 6. Let v be f(4). Suppose 8*r - 3*r - t = v*x, -3*r + 16494 = 2*x. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.4, -11 in ascending order.\nAnswer: -14, -11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-11 + 2)) + 46 + (-41 - 20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 5*d**3 + 4*d = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2 - 0) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/11 - (-75)\/11. Suppose -2*w + c*w - 25 = 0. Suppose -w*r = -2 - 43. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**6\/10 - k**4\/6 + 2*k + 2. Let y(i) be the first derivative of f(i). What is the third derivative of y(g) wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 + -6.58. Let f = 1 - 7. Let y = u - f. Which is the fourth smallest value? (a) y (b) 1\/4 (c) -10 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 19*n - 49. Let q be k(5). Which is greater: -7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.016 + 0.084. What is the third smallest value in 0, y, -1\/9, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/4 - 10698*w + 114447204 = 0.\nAnswer: 21396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-6))\/((-4)\/(-6)). Suppose 5*v + i = -47. Calculate the remainder when (v + -1)\/(2\/(-6)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1746\/216)*(5 + -497).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2288991, -4577955, -6866919, -9155883, -11444847, -13733811?\nAnswer: -16022775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 1248033.5.\nAnswer: 13728368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/397 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185113930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 + -38 + (-28 - -5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26703.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(0 + -1) + -2. Suppose g*i - 16 = i. Let t be 2\/(-8) + 15\/12. Which is the second smallest value? (a) t (b) -3\/8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -4*c. Let r be (6*2\/(-20))\/(c\/(-20)). What is the lowest common multiple of 3 and r\/(-2) + 0 + 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114320 or -1306?\nAnswer: 114320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 6*s - 163. Suppose 120 = -s*h + 43*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f*f)\/f**(-4)*f*f**(-2)*f*f\/f**(-5) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130409078.\nAnswer: 2, 199, 327661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -245 + 7*w - 3\/2*w**2. Let a(z) = -6*z + 15. Determine -2*a(x) + 5*i(x).\nAnswer: -3*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/15 + 5*p**4\/24 - 49*p**3\/6 - 5*p**2 - 21*p. What is the tens digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -691*q**6\/60 - 42*q**5 + 4*q**2 + 2*q - 114. Find the third derivative of s(j) wrt j.\nAnswer: -8292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 14*t**2 + 12*t - 87. What is p(-15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35, -2, -5, 4 in descending order.\nAnswer: 5, 4, -2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 155\/25)\/(1\/15). Find f such that 15*f**2 + f - f + 12*f**w - f + 3*f**4 + 7*f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4998556 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 50324726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.1 - -12.1. Which is the nearest to 0? (a) -82 (b) x (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*t**2 - 262*n*t - 13*n - t**2 - 179 with respect to t.\nAnswer: 4*n*t - 262*n - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.076, -74460, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 8*l. Calculate j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**3 - 5*m**2 - 7*m + 20. Calculate the remainder when k(6) is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 + 6*y**2 + 6*y + 13. Let w(v) = v**3 + v**2 + v. Let m(i) = -n(i) + 6*w(i). Differentiate m(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1652*z - 110690. What is h(67)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34118 by 17059.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -150.6. Let t = -4.6 - k. Let g = t + -15.5. What is the nearest to 2\/9 in 5, g, 14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 7\/2*k**2 - 14 - 9*k. Let r(w) = 8*w - 9. Let n(j) = 17*j - 19. Let u(f) = -4*n(f) + 9*r(f). Give -3*a(b) + 5*u(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -1906, -3.\nAnswer: -1906, -9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*t**3*y + a*t**3 + 10*a*t**2 + 2*a*y wrt y.\nAnswer: 6*a*t**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 2 - (19 - 16))\/1. Let x(u) = u**2 + 2. What is x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49219229.3 to the nearest one hundred thousand.\nAnswer: -49200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from totttottt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/15 - h**4\/8 - 2*h**3\/3 - 4*h**2. Is x(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 87*t = -92*t, -t = 3*t + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43 - 37 - 14*g - 12*g + 3*g. Let r be b(-4). Let m = 187 - r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 - 4938*z + 617320 = 0. Calculate z.\nAnswer: -5060, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2253021 meters in kilometers?\nAnswer: 0.0002253021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7576.827 decades in months?\nAnswer: 909219.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*s**3 - 46*s**3 - 47*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, -4\/5, -1.09, 0.1, 0.2 in decreasing order.\nAnswer: 187, 0.2, 0.1, -4\/5, -1.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 29*s**2 + 15\/2*s**3 + 12\/35*s**7 + 0 + 1\/12*s**4 + 0*s + 0*s**6 + 0*s**5. What is the second derivative of r(z) wrt z?\nAnswer: 864*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 51 = -0*u - 5*y, 2*u = -2*y + 54. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4) + -2)\/((-7)\/826). Suppose 45 = -64*p + d*p. Let o(u) = u - 6. Let s(j) = -1. Let l(g) = -o(g) + 2*s(g). What is l(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -x + 5, -8 = -5*x + 7*x + 4*h. Which is the second smallest value? (a) x (b) 5 (c) 2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15*y**2 + 1 - 5*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 109*y**3 - 6*y**2 + 3*y - 4. Give d(2).\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21038952?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p + 784 - 280 = -25*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-16)\/(-2)) - (-315)\/12. Suppose a + 34 = 2*z - 3*a, -b = -2*z + 2*a. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 263638461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91704 - 1192032\/13. Let k be 3*-1*(-6)\/2. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xps when three letters picked without replacement from {j: 1, x: 1, s: 1, p: 1, f: 2, i: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 416 (b) -0.3 (c) -1\/419 (d) 1\/11 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czcczccczcz. What is prob of sequence czz?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*p, 3*b + 77*b - 72*b - 4*p + 1216 = 65*b + 183*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*o - 44, 4*w = -o - 15 + 6. Find the common denominator of o\/(2296\/2258) + -7 and -28\/5.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, -8, -21, -30, -29, -12?\n\"Answer: k**3 - 7*k**2 + 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64526532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) - (-8)\/1. Find the third derivative of 3*t**2 + 2*t**5 + p + 0*t**5 - 8 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 0*i - 11*i**2)*(2 + 1 - 2)*(0 + 3 - 2).\nAnswer: -11*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2125*m = 2137*m + 60 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.449 + -0.019. Let i = -28.57 - g. Let c = -28.926 - i. Round c to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4 - 13 + a + 2 + 5. Give z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 247, -243, -849, -1571, -2409, -3363, -4433?\n\"Answer: -58*u**2 - 316*u + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6141.6 + -6142. What is the fourth smallest value in -2\/19, 0, s, 2\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 0. What is the second smallest value in 0.2, -0.07, x?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15642 is divided by 7803?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -20*l**3\/3 + 16*l**2 - l + 5. Find the first derivative of v(z) wrt z.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2799162 divided by -1399581?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1121032 (base 4) to base 10\nAnswer: -5710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 18. What is the second derivative of 65*a - 31*a**h - 45 + 45 wrt a?\nAnswer: -186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -992732.52 rounded to the nearest 1000?\nAnswer: -993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 13)\/3 + (28\/(-4))\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/611 and -16\/481?\nAnswer: 22607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10 and (2 + 0\/3)\/(20\/(-14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -162 - 2?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1129 + 450. Let f = -680 - h. What is the nearest to f in -2\/13, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8172\/3178*14\/(-6))\/(-366)\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let g(p) = 274*p**2 - 4030*p + 2. Give g(f(z)).\nAnswer: 274*z**4 - 4030*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -6658453 and -6658455 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -0*p + p. Let o = p - -5. Let b(q) be the first derivative of -q**2 - 7*q - 14. Give b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/2 + -109 + 204280\/1400?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -h - 4, 15*i - 52*h + 53*h - 6 = 0. Put i, -4, 4674 in ascending order.\nAnswer: -4, i, 4674","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4.97. Let u = -0.01 - b. Let n = -0.42 + u. What is the biggest value in 2, n, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 12*n - 16. Let c = -33 - -42. Let t be s(c). What is the second derivative of -8*y**2 - 10*y - 19*y + t*y wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 11, c: 1, s: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**8\/28 + 2*b**7\/105 + b**4\/6 - 70*b**3\/3 + 2*b**2 - 5. Find the second derivative of v(k) wrt k.\nAnswer: -240*k**3 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 23*h**2 + 42.\nAnswer: -23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + l**2 - 3*l. Let q be w(3). Let a(r) = -r + 4. Let o be a(2). Suppose -n - o*n = -q. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 28*f**3 - 5*f**2 - f - 4. Let x(r) = r**3 + r**2 + r + 1. Let a(b) = h(b) + 3*x(b). What is the least common multiple of a(1) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.4. Let r = 58982 + -58981.97. What is the nearest to o in r, -2, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2. Let d be x(1). Suppose 3*m + b - 12 = 27, 2*m + d*b - 19 = 0. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -12. Let k be (-4)\/6 + l\/(-3). Let v be ((-5)\/((-55)\/k))\/8. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i + 17*i - 46*i + 112 = 0. Let m(j) = j**2 + 16*j + 14. What is m(i)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7535 - -3?\nAnswer: 7540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402*y**2 + 178*y**2 + 2*y**3 + 184*y**2 + 0 - 2 + 2*y to the form u*y**2 + o*y**3 + x*y + l and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -81*x + 975. Let a be o(12). Solve 5 = -4*y + a*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4426 - 4326. What is the greatest common factor of 1060 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*x - 262*x - 2240 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -885*o**3 + 11*o**2 - 17*o + 115. Let g(y) = -295*y**3 + 4*y**2 - 6*y + 38. Let j(b) = -11*g(b) + 4*x(b). Find the first derivative of j(r) wrt r.\nAnswer: -885*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y - 4*t, -3*t - 6 = -4*y - t. Suppose 5*u = y*z - 19, 3*u + 8 = 2*z - 3. Sort 0, -22, -2, u in increasing order.\nAnswer: -22, u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20020006 and 1731662.\nAnswer: 12458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3600 + -18001\/5. Which is the closest to 0.114? (a) -2 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -274*a**2*j**2 + 19*a**2 - 66*a - 104*j**2 + 1053*j with respect to a.\nAnswer: -548*a*j**2 + 38*a - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 61*t**2. Let j be 34 + 0*(0 - -3 - 4). Let x(p) = -p + j*p**2 + p - 35*p**2. Calculate q(x(s)).\nAnswer: 61*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6190478, 6190507, 6190536, 6190565, 6190594?\nAnswer: 6190623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l - 10. Let n(a) = -16*a + 12. Let v(t) = 15*t - 11. Let w(q) = 4*n(q) + 5*v(q). Give -5*m(s) + 7*w(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) - (-43)\/9. Let i be 46\/10 - (-2)\/c. Let s = 8 - 4. Solve i*d = 2*t - 24, -t = s*t + d - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0232857 rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1.48?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -342\/5. Let x = -14956\/7 - -2143. What is the common denominator of x and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n + 10*n + 9*n + 1)*(2 + 3*n - 2).\nAnswer: 15*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:51 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3671*-4643\nAnswer: 17044453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -0.06, -2 in descending order.\nAnswer: -0.06, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -24. Let i = -129 + 129.87. Let f = i + -0.97. What is the nearest to 0.1 in z, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*a + 85. Let i = 42 - a. Suppose g - i = -3. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - b**2\/2 + 442. Let m(j) = j**2 - 6*j + 2. Calculate m(q) + 2*v(q).\nAnswer: -q**2 - 8*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -514*q**2. Let c(h) = 3301*h**2 - 1648*h**2 - 1656*h**2. Calculate c(z(t)).\nAnswer: -792588*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -389\/5 + 78. What is the closest to t in 3\/5, -1, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315638518 to the nearest integer?\nAnswer: 17766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14849 and 958?\nAnswer: 29698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**3 - 2550*j**2 + 367*j + 1350. Give d(182).\nAnswer: 1896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1637998510 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.3369 - -29.06453. Let r = 13.5 - 11.77. Let f = t - r. Round f to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 15*z**2 - 5*z - 5. Let c(n) = -16*n**2 + 4*n + 4. Give 5*c(t) + 4*m(t).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:57 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 18. Let k = 3 - b. Let r = -6 - k. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - 29. What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + i + 0 + 0)*(145 + 31 - 39) in the form s*i + n and give n.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*x - 8, -2*g - 7 - 20 = 5*x. Let l(q) = 5321*q**2 + 4*q - 5. Let h be l(x). What is h rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(91) + (sqrt(91)*1 - sqrt(91)) - sqrt(91))\/sqrt(7) + 0 + (sqrt(13) - sqrt(52)\/sqrt(4)*-5) + -4*(sqrt(39)\/sqrt(3))**2.\nAnswer: -53 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -282*y**3 - 884\/3*y + 0 + 2\/3*y**5 + 1750\/3*y**2 - 22\/3*y**4 = 0.\nAnswer: -17, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -968162 divided by 65?\nAnswer: -74474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1714*d - 1864 wrt d.\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1309*o + 19365. Let r(k) = -k**2. Determine c(r(z)).\nAnswer: -1309*z**2 + 19365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 258*k - 9. Let w(j) = 129*j - 4. What is -2*q(o) + 5*w(o)?\nAnswer: 129*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.8 (b) 10340 (c) 2 (d) 4 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*w - 33 = 2*g, -5*g = w - 113. Suppose 0 = -2*m - 0*m + 3*i + 7, 4*i - 52 = -5*m. What is the remainder when g is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t = -3*t + t - 12*t + 1677 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b7 - -3?\nAnswer: 4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(-6*y + 30 - 30) - 2*y + y + 2*y + y - 4*y + 2*y + (-y + 2*y + 2*y)*(-1 - 2 + 0) to n*y + b and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -13) + 31 + 13 + -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/37? (a) 1 (b) -1 (c) 0 (d) 163 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*m + 25, -l - l + 2*m = -18. Solve -3*r - 4 + l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -11. Solve i = -7*d + 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (0\/14 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 r when four letters picked without replacement from trtrrtrrtrrrrr?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14048 + -14045. What is m in 2\/13*m - 2\/13*m**j + 0 + 2\/13*m**4 - 2\/13*m**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 13. Suppose 0 = p - 49 + x. Suppose -2*h + 8 = -p. What is the greatest common divisor of 75 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168590424*a**3 + 525902798*a**2.\nAnswer: -1011542544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 6. Let p be t(-8). Let d(f) = 9*f**2 + 5*f. Let w(k) = 4*k**2 + 2*k. Let n(q) = p*d(q) + 5*w(q). Let g(x) = 119*x. Calculate g(n(j)).\nAnswer: 238*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 45 - 23 + 73*c + 49 in the form j*c + b and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 14634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/3 + 29*s**2\/2 - 8*s. Let g be d(15). Sort -2, g, -5 in descending order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from llllllclllllnlllc?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, -0.5, 3, 5\/6.\nAnswer: -0.5, -0.4, 0.5, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/729010 and 101\/424?\nAnswer: 154550120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1084*i + 109507. Calculate n(101).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30520 and 1400.\nAnswer: 152600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 4. Let l(r) = 5*r + 4. Let w(p) = -6*h(p) + 5*l(p). Let z(k) = 8*k**2 + 1. Let d be z(-1). Let x be w(d). Sort x, -4, -3.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5.5. Let y = m + -1. Suppose q - 3*q + 2 = 0. Which is the third smallest value? (a) 0 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 - 2*h**2 + 1. Let u = -108 - -109. What is f(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (4 - 21) + -9 - (-7 + -5 + 5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19 + 15)\/(-1 + -1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 - ((-11 - (0 - 1)) + 992 + -978 + -12)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 * 0.4.\nAnswer: 0.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, -1868, -3866, -5864, -7862, -9860?\n\"Answer: -1998*l + 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = 4*s. Let f = -11 - s. Let i = 6081 + -6085.6. Put -2\/15, f, i in descending order.\nAnswer: -2\/15, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1284 = 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4877.\nAnswer: 7\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281237 less than or equal to 1281236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21502*s. Let w(g) = -8*g**2. What is w(z(i))?\nAnswer: -3698688032*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32488 and 236324?\nAnswer: 14652088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-3 - 2 + 6) + 4 - 4 - 1 + 1 - 7 - 1)*(2*s**4 - 5*s**4 + 5*s**4).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -94*t**2 - 366022*t + 366058*t - 50*t**3 + 6*t**4 + 6*t**3 = 0.\nAnswer: -2, 0, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 11*c\/4 + 15\/2.\nAnswer: (c + 5)*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11892, -47540, -106958, -190152, -297128, -427892, -582450, -760808?\n\"Answer: -c**3 - 11879*c**2 - 4*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 377.7? (a) -3 (b) 4 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + g**2 + 2*g**2)*(3 + 3 - 5) + 0*g**2 - 4*g**2 - 4*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3869 = n - 50*n - 14*n + 404 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 75*x**2 - 159*x + 17. What is h(-77)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 12*p - 3*p. Solve p = 40*l - 45*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1100681\/34 + 32369. Let n = 1813\/493 + o. What is the common denominator of n and -67\/50?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + 1 - 2 - 3*j**3 + 2*j - j**3 to the form o*j**3 + g*j + d + b*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, -0.2, 29\/3, 2 in ascending order.\nAnswer: -0.21, -0.2, 2, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 9 = 22*n - 7*n. Which is the nearest to -2? (a) 0.4 (b) n (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*u - 0*u - 9, -25 = -3*w - 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*k**3 - 327*k**2 + 2*k - 44702 wrt k.\nAnswer: 816*k - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/4, 594 in descending order.\nAnswer: 594, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 0*y**2 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a - 3*a, -3*o = -a - 49. Let k be (-1)\/(-18)*(-36)\/o. Which is bigger: 0.15 or k?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231311 + 1?\nAnswer: 231312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-4))\/((-2)\/8). Let l = u - 7. Are -1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2980, 2998, 3004, 2992, 2956, 2890, 2788, 2644?\n\"Answer: -u**3 + 25*u + 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4 + 0*w - w + 0 + 0*w - 8. Let v be g(-3). Let a(y) = 4*y + 1. Calculate a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452045552?\nAnswer: 2, 7, 1601, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 5. Let m(s) = -s**2 - 7*s + 3. Let l be m(-7). Suppose 4*v = k - 88, -l*k + 293 = -3*v + 65. Calculate the highest common factor of k and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48837579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 135536.\nAnswer: 1219824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u + 6. Suppose 0 = -5*n - 5*d + 110, -u*n + 5*d + 50 = -0*d. Let t(y) = 13*y + 11*y - n*y. Let v(o) = -o. Determine v(t(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2743787 (base 12) to base 7.\nAnswer: -123216235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 + n + 4. Let y = 2 - 7. Let g(f) be the second derivative of f**5\/20 - f**4\/2 - f**3\/6 - 5*f**2\/2 - 402*f. What is y*g(q) - 6*m(q)?\nAnswer: q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - (-42)\/9. Is ((-2)\/t)\/((-1)\/514) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80672 and 42016.\nAnswer: 105922336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let i be j(1). Calculate the remainder when 9 is divided by i + -1 + 12\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32874355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-57)\/(196707\/(-29)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 + 43*n - 402. Determine w(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 times 0.3?\nAnswer: 152.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15*h - 15. Let a(d) = d + 8. Let g be a(-14). Let v(o) = 0*o - 5*o - 7 - 2*o. Calculate g*s(q) + 13*v(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240368721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47745560537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 407834380 to the power of 1\/2, to the nearest integer?\nAnswer: 20195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsslwfsws. Give prob of picking 1 w, 1 b, and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q - 2050*q**2 + 3*q + 2049*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032 times 92?\nAnswer: 922944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:50 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2452 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Suppose -2*s - 3*v = 1 + 3, h*s - 2*v = 28. Let a be (0 + 2\/(-3))\/((-4)\/150). Solve -x - a = s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let x(q) = -q**2 - 4*q - 3. Let r be x(w). Suppose -3*f + 116 - 26 = r. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.33556 litres?\nAnswer: 21335.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.047, -44, -0.4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 799 + -785. What is the highest common divisor of 105 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/6*(1 - (3 + 0)). Let g be 7\/((-105)\/48)*5\/c. What is the highest common factor of g and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 807\/(-870) - 10\/(-100). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 89*a**7\/210 - a**6\/360 + a**5\/40 - a**4\/12 - 6*a**2. Let s(u) be the second derivative of r(u). Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -6060.482247911.\nAnswer: -6060.582247911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70052 and 5312?\nAnswer: 1120832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let a = -11 + 18. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqktttssqtosssn. Give prob of sequence tt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16217510 + -107\nAnswer: 16217403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -38, 2, -4, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/(-408))\/(-2 + (-7)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**6 - 176904*t**3 + 245*t**2 - 982*t.\nAnswer: -240*t**3 - 1061424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*(-1089)\/(-38610)*12\/(-165).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + z**2 + 2*z**2)*(0*z**2 - 5*z**2 - z**2 + (-3*z - 3*z - z)*(-z + z - 3*z)) in the form o*z + m*z**3 + p*z**2 + g + u*z**4 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 5, -31 in descending order.\nAnswer: 5, 0.3, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1 + (2 - 2)). Let l be 10\/6*r*1. Which is the third smallest value? (a) 2\/7 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 2)*(1 - 1 + 1)*(-1 - d + 1).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, a: 14}. What is prob of sequence cc?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -610 - -615. What is the fourth smallest value in 0.3, 10, w, 2\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/(b\/b**(3\/8)))**(-1\/45)*b**(-2\/5)\/b*b*b**(6\/5)*(b\/(b*b\/b**(2\/3)))\/b**(2\/3) assuming b is positive.\nAnswer: b**(-17\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 7:14 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -174*k + 178. Let o be z(-6). What is the highest common divisor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 11089?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 301995 and 2653082?\nAnswer: 358166070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**5*z**2 - 9*f**3*z**2 - 7*f**2*z**2 - 2 wrt f?\nAnswer: 360*f**2*z**2 - 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {y: 2, m: 11, n: 2}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 549415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (-54)\/(-15). Suppose -4*w - 30 = 2*b, -5*w = 3*b + 19 + 21. Sort -3, t, w in ascending order.\nAnswer: w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 41 = -5*x + 5*n, n = 3. Solve -5*j + 6 - x = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:51 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7*k = 4*k - 2, 5*k - 10 = 0. Suppose -l - 2*l + 54 = 0. Calculate the lowest common multiple of 6\/30*m*(-50)\/4 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 29*d - 4056. Let f be l(140). Solve 2*r = 4*n + 37 - 11, -5*n - f*r - 13 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2811.2*-1109.\nAnswer: -3117620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 - 15) + (-360)\/(-45) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11463 = 3*l - 11985. Suppose -l = -5*o + 8234. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -72.92 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -15, 2*m + 2*d = -m + 22. Suppose -2*x + 564 = 3*x - 4*o, o = -2*x + 236. Suppose -i + 3*i - x = -m*f, 5*f + 4*i = 139. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 79*l - 5. Let v be a(-1). What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*v - 982*v + v**2 + 330*v + 322*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.634 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13230 (base 4) to base 11.\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/40 + (-844)\/(-16). What is the highest common divisor of 4 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.075 in -4\/27, -2\/7, 4, 1\/62?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 111, 177, 295, 483, 759, 1141?\nAnswer: 1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13284, 26563, 39842, 53121, 66400?\nAnswer: 79679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10)\/((-3)\/(-15)). Suppose s*n - 9 = 0, 13 = -p + n - 6*n. Let u be (8\/p)\/((-2)\/3). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4194528055?\nAnswer: 5, 23, 61, 149, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/124 and -45\/28.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -133*c + 1601. Let s be m(12). What is the closest to -2\/15 in 0.122, 2\/3, s?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 1 - 1)*(-2 + 2 - 1) + 4*c**2 - 4*c**2 + c**2 + 3*c**2 - c + c + c**2 + 0*c**2 + 0*c**2 - 17 + 17 - 438*c**2.\nAnswer: -431*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*d - 1595 = -2*d, d + 5 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6006\/2145*(-1760)\/112.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-9))\/(2\/3). Put -4, g, -2, -3 in decreasing order.\nAnswer: g, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-2*1)\/sqrt(5))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 118. Suppose 2*q + q - 38 = -b, 2*b - 84 = -y*q. Let w = b - 27. Calculate the greatest common factor of 85 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2, -3, 6\/19.\nAnswer: -55, -3, -2, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12413 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13570*h**3 + h**2 + 4*h + 3. Let f(b) = b**2 - 9*b + 19. Let k be f(5). Let r be g(k). What is r rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53710 (base 8) to base 2.\nAnswer: 101011111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u + j - 5, -3*j = -3*u + 24. Solve k = i - 3, -u*k + i + 2 = 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/6 - (-6)\/(-9). Suppose -3*x = 0, -b - 1 = -n*x - 0. Does 10 divide -29*(1 - 0)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -807722.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2337 and 9565341?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -30, 0.5, 5\/6, -1, -44?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515324, 2061333, 4638022, 8245397, 12883464, 18552229, 25251698, 32981877?\nAnswer: 41742772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53328.68 micrograms?\nAnswer: 0.05332868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 282, 279, 266, 237?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29173718?\nAnswer: 2, 7, 297691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298331?\nAnswer: 11, 37, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30277.\nAnswer: 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 8. Suppose -16 = -f + 5*f - 4*b, 4*f = -b - 11. Suppose 0 = s - 5 + 8. Let z = s - f. Determine g(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -91*g**3 - g. Let u be k(-1). Let n = 108 - u. Suppose l - 185 = 3*x, -13*l + n*l = -3*x + 615. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006312 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - u + 1. Let h = -31 + 47. Let r(l) = l**2 - 14*l - 11. Calculate the remainder when r(h) is divided by p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23108 and 954?\nAnswer: 207972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from larunbbl. Give prob of sequence bbr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/91, -5, 0.067, -0.5, 0, 4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2200)\/3000)\/((-21)\/(1323\/(-42))*(-3)\/2)?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117028 is divided by 29238.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24440 is divided by 794?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let o = j - 3. Sort 1, -3, o in ascending order.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1130 - -1884. Let a = -753 + j. Sort -34, a, -2\/11, -0.5 in increasing order.\nAnswer: -34, -0.5, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let d(a) = 3*a**2 + 5. Let r(m) be the third derivative of m**5\/12 + 4*m**3\/3 + 3*m**2. Let i(x) = -8*d(x) + 5*r(x). Calculate i(s(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + p**4 + 2*p**4 + (-p + 2*p - 3*p)*(42*p**2 - 42*p**2 + 92*p**3) to y*p**3 + o*p**2 + z*p**4 + x*p + i and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 22. Suppose -w*s + 7 = 2. Let z(v) = 3*v - s - 5*v**2 - 11*v**2 + 15*v**2. Determine z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59726*h + 60424*h - 27222 = 0 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14708459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l - 7. Let h be r(0). Which is the smallest value? (a) 5 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -37. Let r = 8.2 - j. What is the second biggest value in 1, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7097487 is divided by 121?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-6*p + 3*p - 20*p + (7*p - p - p)*(2 - 4 + 3)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244 by 2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8745 divided by 53\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -91*j + 464. Let k be l(5). Which is the smallest value? (a) k (b) 1\/6 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:07 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*y, 0*y = 2*i - y - 12. Let b(h) = h**3 - 4*h**2 - h. Let l be b(5). Calculate the greatest common divisor of l and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v, t - 121 = 3*v + 370. Suppose -t = -4*d + 58. Let c(x) = 6*x**3 - x**2 + x + 1. What is the remainder when d is divided by c(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3285*z**2 + 1638*z**2 + 1644*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116732?\nAnswer: 2, 7, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfr when three letters picked without replacement from rwrfrfwfffwrxfffywff?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1851502*l + 1699*l**2 + 1851506*l + 499*l**2 + 26 wrt l.\nAnswer: 4396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 9*h**2 + 62*h - 4. Let x(c) = -6*c**3 - 11*c**2 - 62*c + 5. Calculate -4*s(q) - 3*x(q).\nAnswer: 2*q**3 - 3*q**2 - 62*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62205*u**4 + 62401 with respect to u.\nAnswer: 248820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3015052 (base 6) to base 11.\nAnswer: 97a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*u = -14967352, -15 = -4*u + 1. Suppose 2*z = -1597192 - 2370176. Let s = z - p. What is s rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 549406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/40*-10*5. Solve -4*d + 4*p = 5*p + 12, l*p + 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*12\/(-8)*1. Suppose 0 = -c*k + 48 + 69. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000366748989 rounded to seven dps?\nAnswer: 0.0003667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1842 + -0.185013. Round h to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 1. Let w be m(7). Let k be (-102)\/(-4)*(15 - 13). Let q = k + w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t - 97*t = -780. Suppose 18 = -4*b + t. Solve -4*m + 1 + b = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bb (base 12) to base 2\nAnswer: -1000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -251132 (base 8) to base 7\nAnswer: -510350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8, -5*t + 16 = z - t. Solve -8*r + 5*r + 6 = z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4518 is divided by 1161?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*x = -142, -3*l + 2*x = 6*x - 124. Suppose 4*m = k + 664, -21 - 477 = -3*m + k. What is the remainder when m is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-2860))\/((-1)\/60)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/56, -4683?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -643\/4. Find v such that -1\/4*v**2 + 0 - 1\/4*v + 1\/4*v**3 + n*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98652407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 13*o. Let a be h(10). What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - u**2 - u + 1. Let i be v(1). Suppose 4*o = z + i*z + 132, -2*z = 2*o - 62. Let y = -1 - -7. What is the lowest common multiple of y and o?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760, 767, 774?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 4*z - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*40\/135*(-4)\/((-16)\/3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22166 is divided by 7330.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 3, 15, 45, 99, 183, 303?\n\"Answer: c**3 - 7*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9 - 18*v**2 + 42*v**2 - 25*v**2 + 5*v. Let p(k) = 6*k**2 - 31*k - 54. Let a(y) = 6*p(y) + 34*t(y). Determine c so that a(c) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 480*f. Let i(g) be the second derivative of -7*g**4\/12 - 481*g + 4. Calculate d(i(v)).\nAnswer: -3360*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {c: 2, f: 1, v: 1, a: 11}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -877*h**5\/30 - 11762*h**2. Let d(k) = -4*k**2. Give d(q(c)).\nAnswer: -12306064*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -193 + 1a8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 115477 = 4*a, -3*p + 81471 = 5*a - 33970. List the prime factors of p.\nAnswer: 3, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188260378 or 188260377?\nAnswer: 188260378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 319 = -1211. Let k = x + -119. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -256.9, 0.4, 12, 1\/5, -14?\nAnswer: -256.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43 and 225777226887.\nAnswer: 225777226844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:50 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*s = -3*i + 26, 4*i - 72 = 5*s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24014189.\nAnswer: 24014189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2. Let k(s) be the first derivative of 20 + 1\/2*s**2 + 0*s. What is m(k(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 470247009003951 and -0.4.\nAnswer: 470247009003950.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) -20\/9 (b) -0.2 (c) -0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x**3 - 7*x**2 + 4*x - 24. Let u be q(5). Let r = -128 - -144. What are the prime factors of r\/12 + u\/3?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r + 2. Let g = r - -15. Let c = g + -9. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/477 - 427\/318. Find the common denominator of 91\/24 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 9*n + 20. Let l(w) = -w + 1. Let v(u) = -2*u**2 - 6*u + 9. Let q(y) = 6*l(y) - v(y). Let k be q(n). Solve 0 = -d + k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {x: 4, z: 6, e: 3, d: 1}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*s - 54958 = 0, -1631 = i - 2*s + 16685. Let u be (i - 2)*-2*(9 + -134). Round u to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18.6 and 0.27.\nAnswer: 18.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 - z + 4. Let n(i) = -i**3 - 2*i + 5. Let l(s) = 2*d(s) - 3*n(s). Calculate the remainder when 26 is divided by l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0 + 0*w + 1\/6*w**4 + 152*w**2 - 1\/120*w**6 - 1\/6*w**3 - 1\/20*w**5. Determine d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Suppose -s = -1 - h. Suppose -2*m + 4 = -s*m. Let k(t) = -6*t**3 - 2*t**2 + 1. Calculate k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 + 3*u**2 - 3*u - 3. Let p(w) = -w**2 + 7*w - 38. Let y be p(4). Let g(k) = 16*k**3 + 13*k**2 - 13*k - 13. Calculate y*f(h) + 6*g(h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 45*p**2 - 227*p + 26. Let u be x(15). Put u, -5, 1, 4, 7 in increasing order.\nAnswer: -5, u, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - v**3 - 28*v - 8*v + 2*v**2 + 41*v - v**3 - 22*v to o + i*v**2 + q*v**3 + z*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 32 = k, -36 = 5*n - n - 5*k. Let h = -9 - n. Let p be 105\/45 - (0 - -1). Which is the closest to -5\/3? (a) h (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33124e - 4?\nAnswer: 33124a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 + 9. Let r(j) = -j**2 + 1. What is 2*d(w) - 18*r(w)?\nAnswer: 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 27707456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:58 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-914)\/4*(-9 - 1794565). Let o = n + -1434390417917\/3498. Let g = 28\/159 - o. Find the common denominator of -99\/52 and g.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 12*y + 20. Let m be l(14). Let x(q) = 2*q**2 - 3*q + 2. Let u be x(3). Let v = m + u. Solve 2*k + k + 3*d = v, 2*d = -k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34b14 + -1b?\nAnswer: -34b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 5*k**3 - 3*k**3)*((3 - 2 + 1)*(k**2 + 0*k**2 - 3*k**2) + 1130*k**2 + 42305*k - 42305*k).\nAnswer: 1126*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7012.19 centimeters?\nAnswer: 70121900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -349*j**2*r - 2*j*r + 43*r wrt j.\nAnswer: -698*j*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.015 + 0.285. Which is the closest to 0.2? (a) 4\/3 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 18896*u**3 + 150912*u**2.\nAnswer: 4*u**2*(u + 8)*(u + 4716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/20 - 7*u**3\/3 + 2*u**2. Differentiate w(a) wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*v - 106, -4*r + 343 = v + 121. Suppose 6*s + 4*g = s + r, -s = g - 11. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgnh when four letters picked without replacement from nwtgwtnggnhhwgngngnh.\nAnswer: 9\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j**0*j))\/j)**(2\/81))**(2\/9)*(j**0)**(-6\/5)*(j**0)**7 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(112) + sqrt(112)*1) + -1)*1.\nAnswer: -48*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25235 and 4?\nAnswer: 100940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5686114 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*z - 44, 4 = -2*z + 4*w + 12. Suppose 3*d + 314 + 24 = 2*y, d = 2*y - 334. Calculate the remainder when y is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:57 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4994448+-145579\nAnswer: -5140027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 373 + -121. What is the smallest common multiple of 252 and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 4, k: 8}. Give prob of sequence xk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729) + sqrt(729)*-3*3 + 2*sqrt(729)*3)\/(sqrt(1080)\/sqrt(10) - sqrt(147)*2).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194*w = -1175*w - 399. Solve 155*m - 134 = w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 653*i**3*m - 376494*i**3 + 3*i**2*m**2 + 9*m wrt m?\nAnswer: 653*i**3 + 6*i**2*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 40. Let x(t) = 1. Let s(k) = a(k) - 8*x(k). Is 14 a factor of s(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 187 and 238?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 333, 666, 1013, 1380, 1773, 2198, 2661?\n\"Answer: v**3 + v**2 + 323*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7af91 + -19f?\nAnswer: 7adf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*n*o**3 + 3*n*o*x + 5*n*x - 8*o**4*x - 3*x + 14 wrt o?\nAnswer: 27*n*o**2 + 3*n*x - 32*o**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from {y: 2, u: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (173696\/354)\/92*45\/(-4)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80714.\nAnswer: 2, 40357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}