diff --git "a/data/dm_maths/full_data_2/11059_11255.jsonl" "b/data/dm_maths/full_data_2/11059_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11059_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Product of 3 and -56.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 520, 808, 1098, 1390, 1684?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 2.2 (b) -0.1 (c) -5 (d) 20\/4491\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104))\/sqrt(8) + sqrt(52)\/(3*sqrt(4)))**2*5.\nAnswer: 260\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37774 - 37774.046434. Round u to 4 decimal places.\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*z + 687715, -4*i + 3*i = -6*z - 687787. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -33637*x + 169073. Determine w(5).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-1\/32)*((v\/v**(2\/5))\/v)**26 assuming v is positive.\nAnswer: v**(-831\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07278 - -0.42722. Which is the third smallest value? (a) 3\/5 (b) 0.1857 (c) o (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w + 4*n - 32, -2*n + 114 = -4*w. Suppose -3276 - 6012 = 344*r. Is w greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 646 - 646 + 32*f to n + y*f and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**14*(l\/(l*l**(1\/2)\/l))\/(l\/(l*l**2))*(l**(-1\/3)\/(l*(l*l**(2\/9))\/l))\/(l**(-2))**(-4\/27) assuming l is positive.\nAnswer: l**(2303\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*p - 10, -3*p + 5*p - 3*f + 2 = 0. Let t be (p + 2)*1\/(-1). Suppose 4*b = t*m + 2 + 6, -12 = -4*b + 3*m. Solve 4*l + l + 15 = b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -5, 6, 35, 88, 171?\n\"Answer: h**3 - 8*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5794057 to the nearest integer?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1 + 1 + (-111)\/(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -4*g**5\/15 - 67*g**4\/6 + 68*g**3\/9 - 79. What is y in u(y) = 0?\nAnswer: -34, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1462 + 3.1462. What is the closest to 10\/3 in r, -2\/7, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 33, 52, 0.18?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - d - 96.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*h - 206894 - 201056. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.36. Let n = 21.25 + -17.25. Which is the third smallest value? (a) -0.2 (b) n (c) i (d) 0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.0565\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -5*z, -4*t = -4*z - 340. Let m = -61 + t. Calculate the smallest common multiple of 22 and m.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 786169*h + 6 - 3.\nAnswer: 786169*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -171440 divided by -4?\nAnswer: 42860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7823502 by 869278.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6032465*0.7\nAnswer: 4222725.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*f**3*u**3 + 70172*f**3*u**2 + 5418664*f**3*u wrt u.\nAnswer: 72*f**3*u + 140344*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 16*j + 32*j)*(-5*j - 13*j + 3*j).\nAnswer: -135*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:44 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*w - w, 5*w = 2*o. Suppose -2 = 3*v + 4*t, o*v - 2*t = 5*v - 6. Sort -4, v, -3 in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -r - z, -32 = -4*r + 4*z. Suppose -r*v + 1371 + 4650 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34093 + 6471 = -745*y + 11863 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 divide 3383237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 29016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**4)\/(d*d**6))\/((d**(2\/11)\/d)\/d**(2\/7))*d**3\/d*d*d\/(((d*d**(-3\/4))\/d)\/d)*d*d*d*(d\/(d**(-1\/7)\/d*d))\/d*d*d\/d**(-1\/3) assuming d is positive.\nAnswer: d**(10469\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 1050983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x + 23600. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 195*u - 191*u + 27, 0 = -3*l + u - 29 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h*i**3*q**2 + 262*h*i**2*q**2 + 2*h*i**2*q + 165*h*i**2 - 2547*i**3*q**2 wrt i?\nAnswer: -24*h*q**2 - 15282*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*r + 50, -3*y + 2*r = -2*r - 30. Solve 5*n - 9 = -3*p + 8, 3*n - y = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.627 rounded to 1 dp?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 23414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 6, n: 4, q: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.9 (c) -1533 (d) -160\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 1019. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 4. Let n = m - -1. Let u = 7 + n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/6)\/(((120\/27)\/(-20))\/(6\/(-45))).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*70\/(-220)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 65956*d - 543774242.\nAnswer: -2*(d - 16489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*m - 4*y, 0 = 3*m - 5*y + 2095 - 2086 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 - -177. Solve p - 7 = 2*h, b = p + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 12) to base 8\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 615750 < 615750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-51)*2*372\/(-248)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 - 75*k**2\/7 - 7686*k.\nAnswer: 3*k*(k - 147)*(k + 122)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Find w, given that w + w - 5*w**3 + y*w**3 + 4*w**3 - 3*w**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4739600, -9479205, -14218812, -18958421, -23698032, -28437645, -33177260?\nAnswer: -37916877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 1. Let y(a) = -110*a**2 + a + 8. Calculate -5*p(q) - y(q).\nAnswer: 105*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 29. Let z = 18 + i. Suppose -3*r + 3 = 3*c - 3, -r + z = -c. Solve -3*t + 2*v = -12, -22 = t - 6*t + r*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -195. Let a = -1 + -2. Put a, 2, u in descending order.\nAnswer: u, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775544837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 1, q: 4, m: 1, r: 1}. What is prob of sequence zzfm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 5 + 13 + 6. Let s(r) = 3*r**3 + 5*r**2 - 2*r - 6. Let n be s(-2). Determine a(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/160 and -121\/30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -69*o - 6 + 4 + 67*o. Let p(r) = 3 + 0*r + r - 2*r + 4*r. Calculate -7*h(w) - 4*p(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195247, -195373, -195499, -195625?\nAnswer: -195751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-21) - (-2)\/(-6)) + 2. Suppose 0 = q + p, -3*t + 5*q = 13666 + 24097. Is ((-3)\/9)\/((-3)\/t*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c + 0 - 1\/24*c**4 - 9*c**2 - 1\/6*c**3. Let u(v) = v**2 + 7*v + 5. Let s be u(-5). Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 1.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-854)\/(-28) + (1 - 7))*270.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2*y**2 - 30*x**2*y + x*y**2 - 413*x + 79273*y**2 wrt x.\nAnswer: 4*x*y**2 - 60*x*y + y**2 - 413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*y**2 - c**3*y + 61*c**2*y**2 + 499*c**2*y - c*y + c + 90*y**2 wrt y.\nAnswer: 4*c**3 + 122*c**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 52 + 95 - 43 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 3 + (593 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-81)\/(-135)*(-2 - -7). Let u(j) = -4*j - 1. Let g(n) = 9*n + 3. Calculate a*g(b) + 5*u(b).\nAnswer: 7*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 62, 0.5, -0.3, -4, 1.67 in ascending order.\nAnswer: -4, -2, -0.3, 0, 0.5, 1.67, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-24)*(-84)\/(-105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 22136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*s**3 + 7784*s**2 - 26*s - 44433163 with respect to s.\nAnswer: 21*s**2 + 15568*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 20*o + 1755 = 0. Solve 5 = -o*d + 44*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.037 and 29752.\nAnswer: -1100.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 71*t**2 - 38*t - 68. Let n be x(-36). Solve -6*s = -n*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba5 + -16?\nAnswer: -bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.2 + 33. Let d = -2 - -4. Put -2\/9, q, d in descending order.\nAnswer: d, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295796 - -295797. Let h = 0.3 - -4.7. What is the fourth biggest value in 1\/4, -1\/4, t, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x**5\/7 - 60908*x**4 + 520984*x**3\/7 + 108272*x**2 - 189472*x\/7 = 0 for x.\nAnswer: -1, 0, 2\/9, 2, 11842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 6*x + 5. What is c(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*42\/(-36)*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5)\/((-204)\/1020).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*b + 31, 0*b = 4*b - 4*i - 52. What is the remainder when 20 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(133) + sqrt(133))\/(3*sqrt(7)*-3).\nAnswer: -11*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, s: 4}. What is prob of picking 2 h and 1 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/22 and 11\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 43. Suppose 2*w = -j + 418, 154 = w + 5*j - l. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 41*x**2 + 74*x + 145. Determine k(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 6*o**2 + 5*o - 4. Let r be m(-5). Let g = -32 - -37. Suppose -4*s = -3*h - 3*s - 8, s = g*h + 14. Sort 5, r, h in decreasing order.\nAnswer: 5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {s: 1, t: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (4 - (13 + (139 - 39))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -4512?\nAnswer: -4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/40 - m**5\/12 - m**4\/6 - 7*m**3\/6 + m**2. Suppose -11 = -2*f + 3. What is the remainder when j(-3) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*g + 11*g + 15*g + 16*g - 4 to v + l*g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1508015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292 and 4?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94935*f**5 - f**4 - 78*f**3 + 58285*f**2 - 446 wrt f.\nAnswer: -5696100*f**2 - 24*f - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/526463 and 1\/526463.\nAnswer: 526463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-528)\/(-15) + (-4)\/20. Suppose 4*g - l = 2*l - 96, -85 = 3*g + l. Let j be g\/(-2) + 1\/2. Calculate the greatest common divisor of f and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 5*s + 5. Let r be j(7). Let o = r - 47. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 3*d = 0. Let r = -1.32 + 1.62. What is the closest to -3\/5 in -0.4, r, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) -1.5 (c) -1\/2 (d) -0.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*l*s**3 - 4*g**2*l - 79*g*l*s**3 - 2*g*s - l*s**2 + l + 254*s wrt s.\nAnswer: -6*g**2*l*s - 474*g*l*s - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67914 is divided by 2716.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110728963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*d**2 + 1369*d - 1369*d in the form s*d + h + f*d**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 209, 513, 909, 1397, 1977, 2649?\nAnswer: 3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3 + 24*n**4 - 1 - 14*n - 2*n**3 + 16*n**5 - 7*n**3 - 23*n**2 + 5*n = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6))**(-45) assuming t is positive.\nAnswer: t**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63801 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:23 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -340 in ascending order.\nAnswer: -340, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -11*w**2 + 7\/24*w**4 + 0 + 0*w**6 + 0*w + 0*w**5 - 1\/70*w**7 + 0*w**3. Find the second derivative of a(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 0*l**2 + 31 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + (-160)\/(-25).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131020 + 12102300?\nAnswer: 12233320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(252) + 1 - sqrt(252))**2 + 5)*-3 + (sqrt(252) + 0 + sqrt(252) + -2)**2 + (sqrt(252) - (sqrt(252) - (-1 + sqrt(252)*4)))**2.\nAnswer: -96*sqrt(7) + 5003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 18. Let u be l(10). Let q = u + -10. Let p(j) = 15*j - 15*j - 7*j**q - 4*j**2. Let r(b) = -2*b**2. Give p(r(g)).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 959207 != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006269 rounded to five dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))**2*4 + -1*((sqrt(162) + -1)**2 - sqrt(162)).\nAnswer: 27*sqrt(2) + 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00173384 to five dps.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/6 - k**3\/6 + 519*k**2. Let c(x) = -9*x - 2. Calculate 6*c(i) - 13*n(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -37?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3422.192 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -350.645 and 5?\nAnswer: 355.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(3*z - 3*z + 2*z**2)*(-6*z**2 - 145*z + 145*z + (-z + 4 - 4)*(3*z + 2*z - 6*z)).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-33)\/88 + 76492\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 332 = 4*r, -a - 7 + 8 = 0. Let g = 505\/6 + r. Factor g*v**2 + 0 - 1\/2*v.\nAnswer: v*(v - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 76 - (17 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3501097 - 2?\nAnswer: -3501099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - (-1)\/2. Suppose -u + 5 = q. Let g(o) = 3*o**2 - 40*o + 52. Let d be g(12). Calculate the greatest common divisor of d and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.142603*-112.5\nAnswer: -16.0428375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2273 divided by -5676\nAnswer: 2273\/5676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 10.61?\nAnswer: 3.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 385 - 6*r**2 + 384 + 111*r**2 as c*r**2 + g*r + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04344817 take away 0.045511?\nAnswer: -0.00206283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 46. Is (-2)\/(-9) - (-6015)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.5. Let f(g) = g**2 + 3*g - 5. Let y be f(-4). Let o be (-1)\/(-21) + y\/3. Which is the nearest to o? (a) m (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3226680 - -3709\nAnswer: 3230389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/((-952)\/(-192)) - (-3)\/(-7). What is the greatest common factor of 4 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3331, -6732, -10195, -13726, -17331, -21016, -24787?\n\"Answer: -g**3 - 25*g**2 - 3319*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 divided by -25876?\nAnswer: -113\/6469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, 1, -2, -45, -6, 2.\nAnswer: -45, -38, -6, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z + 6. Let g be t(0). What is the lowest common multiple of 74\/g + (-2)\/6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 3695310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/168)\/((-26)\/(-52)) + 0. Is z equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -364 and 6.95105.\nAnswer: -357.04895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2639, 21133, 71331, 169085, 330247?\nAnswer: 570669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 - 53 = 0. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3 + 13. Let j(k) be the first derivative of k**2 - 1. What is j(b(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6191*c. Let l(r) = 5*r**2. Calculate l(a(j)).\nAnswer: 191642405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) - (-22)\/(-4). Let n(m) = m**2 + 6*m + 7. What is the units digit of n(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136908 is divided by 67126.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-17 + 13 + -14) - -8.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 338. Calculate the remainder when 381 is divided by j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -3 + (sqrt(11) - ((sqrt(11) + 0)**2 - sqrt(11) - sqrt(11))) + ((2*sqrt(396))**2 - sqrt(11)).\nAnswer: 3*sqrt(11) + 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-12))\/((21\/(-42))\/((-2)\/4))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.1 + 22. What is the closest to 3 in 1, -5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j, -3*c + 0*j + 10 = j. Suppose l = c - 0. Suppose g + 2 = l*g. Solve -5*x - v = 10, -6 = 2*x + v - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 + -343. What is the smallest common multiple of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40174 + 40181. Sort 1, t, 1\/3, -346 in decreasing order.\nAnswer: t, 1, 1\/3, -346","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 - 49*z**3 + 133*z**2 + 2 wrt z?\nAnswer: -24*z - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257332243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 295084501 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: Let x = -3678 + 18388\/5. What is the closest to 8 in -0.5, 1\/5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/(-4) - (23814\/168)\/(-189).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -71, -105, -137, -167, -195?\n\"Answer: p**2 - 39*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 8*p**4\/13 - 226*p**3\/13 - 424*p**2\/13 + 120*p\/13 = 0.\nAnswer: -2, 0, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 - -958. What is the remainder when q is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 1273 + 267. List the prime factors of (-128)\/10*k\/44.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32339 + 32342. Sort 0, w, 1, 31 in decreasing order.\nAnswer: 31, w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/1550443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -237, -337, -437?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901578 is divided by 200.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2103 and 288?\nAnswer: 201888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 54 + 0*z + 2*z + 2*z**4 - z in the form n*z**2 + d*z + b + g*z**3 + l*z**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 2940*c**3 + 8802*c**2.\nAnswer: 2*c**2*(c + 3)*(c + 1467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 1837397049\nAnswer: -1837397049.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - 3*u - 132 = 0, -2*u + 26260 = s + 26272 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2139\/4204 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from llponnllln?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = -4. Find the third derivative of 12 - 3*s**3 - g*s**2 - 12 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 - 2 = 0. Let o(a) be the first derivative of a**3\/3 + a**2 - 2*a - 1. What is o(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136664685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:17 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120.77 * -0.5.\nAnswer: -60.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52003103 (base 6) in base 8?\nAnswer: 5545257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 11\/6*y**3 - 4*y - 7\/2*y**2 + 0. Let o be r(1). Solve 3*u = -u + o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -24*w**2 + 37*w - 19. Let m(d) = 7*d**2 - 9*d + 4. Let r(z) = -9*m(z) - 2*t(z). Give r(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/9 - 5)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/9 and 79\/62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 3*x + 1, -d + 5*d = 5*x + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 315395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21880*k**3 - 37616*k**3 + 15749*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -132?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**(-7)*x*x)\/x)\/x)\/x)**(-20)\/(x**(-13)\/(x*x*x**(-20)\/x*x*x)) assuming x is positive.\nAnswer: x**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvsssvsvvvmss. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -351558, -351658, -351758, -351858?\n\"Answer: -100*p - 351458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f - 0*f + 2*y, 5*f + 3*y = 5. Let j(o) = -o**2 - 8*o - f - 3 - 1 + 3. Calculate j(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Solve -f*c + 15 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 + 967382*j**2 + 116979942800*j + 350931122016 = 0. What is j?\nAnswer: -241844, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*n + 1\/4*n**2 + 0.\nAnswer: n*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 14*s**2 + 2*s - 17. Let a be u(14). Let l(b) = b**2 + 6. Is l(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 133*p - 588. Calculate h(-39).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1290*k**3 + 20*k - 272. Let w(u) = -2*u - 1. Let n(f) = v(f) + 10*w(f). Find the first derivative of n(o) wrt o.\nAnswer: 3870*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 l, and 1 e when four letters picked without replacement from uqlel?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -970.45 rounded to the nearest 10?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*t = -32, -x - 4*t + 2226 = 2218 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7 + 13*x + 417*x**2 + 418*x**2 - 842*x**2 - 3. Let t(u) = 2*u**2 - 3*u - 1. Give 2*o(s) + 9*t(s).\nAnswer: 4*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 1, 0, 8 in descending order.\nAnswer: 8, 1, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 42 - (13 - -7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/8164 - 1553464\/139573.\nAnswer: -78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24a5 (base 15) to base 14\nAnswer: 2bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 476a + -7d?\nAnswer: 46dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1013979667*r - 782122787 wrt r?\nAnswer: 1013979667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4193106 is divided by 6774.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 7*k + 2. Let w be b(-9). Let a = 19 + w. Let y be 2\/(-3*a\/(-18)). Solve 0*o + y*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - 5*r**4 + 0*r**4)*(-1 + 1 - 2*r) - 2*r**5 + 2*r**3 - 2*r**3 - r**5 - 5*r**5 + 2*r**5 + 37*r**5 + 103*r**5 + 116*r**5.\nAnswer: 254*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**4 + 113033*y**3 + 500211 with respect to y.\nAnswer: 4*y**3 + 339099*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12712000 rounded to the nearest one hundred thousand?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttt. What is prob of picking 2 t and 1 f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-162 + 83) - (-1 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*k - 18075 - 1230 = 0 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 19 = -k + 45, -10 = k - 5*z. Let o be (-26)\/(-5) - 2\/k. Solve 5*j - 7*f = -3*f - 24, 5*j = o*f - 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 37107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61935 is divided by 305?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 102*p**2 - 185*p - 47. What is o(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12135726 (base 8) in base 2?\nAnswer: 1010001011101111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 735*d**3 + 768*d**3 + d**2 + 2 - 2223*d**3 + 826*d**3 in the form p + u*d + o*d**3 + h*d**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 8*c - 3. Let d be a(4). Suppose 5*h - 40 = 4*g, h = g - 6 + d. What is the greatest common factor of h and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 - 145. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -586 (base 14) to base 3.\nAnswer: -1111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -193, -121, -31, 71, 179, 287, 389?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 + 3. Let y be (5\/(-15))\/(110\/(-132)). Which is the fourth biggest value? (a) 1\/2 (b) -1\/2 (c) y (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + -1 + 120\/21. Solve -r*x = -2*y - 17, y + 8 = -y + 2*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 484*z**3 - 956*z**2 + 476*z.\nAnswer: -4*z*(z - 119)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*n + 8 = 5*o, -4*o + 13 = n. Suppose -6*q - 5 = -3*q + 2*i, 3*q + 4*i + 13 = 0. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + -3 + 11 - -6. Let u(g) be the first derivative of -g**3\/3 + 4*g**2 + 9*g - 1. Let r be u(w). Solve -4*x - r + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(5 + -2 + -2 + sqrt(72)*-2 + -2)**2*3.\nAnswer: -15606 - 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37129 - 6311897\/170. Let m = 1435\/34 + p. Let s = m - 42. What is the closest to s in 2\/7, -1, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**2 - 140*u - 480 = 0?\nAnswer: -24, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 + 646351*x**3 + 8609294*x**2 wrt x?\nAnswer: -120*x**3 + 3878106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325*q**4 - 157*q**3 - 120328*q**2?\nAnswer: 7800*q - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31, -17, 1, -4, -3.\nAnswer: -17, -4, -3, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -911 - -121.9123424\nAnswer: -789.0876576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(65)*5)\/sqrt(5) - (sqrt(1573)*-1 + (2 + sqrt(13))*-2)).\nAnswer: 5 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. What is the smallest value in -1\/7, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Let m = -34.3 - -33.3. Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(7\/2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 1370 = -1460 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g. Let x(n) = 4*n**2 + 5*n**2 + 3*n**2 - 20*n**2. Determine x(t(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqnsyynsyynnnns. What is prob of sequence sq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 + 7*a - 1. Let p be d(4). Let s = p - 143. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22301 or -22302?\nAnswer: -22301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 70 - 154*d**3 + 2*d**4 + 70 + 180*d**3 + d**2 in the form m*d + p*d**4 + o + k*d**2 + t*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 64 = 5*o, -2326*o = -2330*o + 3*w - 24 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and 2*121\/(-20) - 3\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 606, 601, 582, 543, 478, 381, 246, 67?\n\"Answer: -b**3 - b**2 + 5*b + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -29. Let w(f) = -27*f + 1. Let j(t) = 1. Let y(x) = -j(x) - w(x). Is y(d) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h + 2*h**4 + 26 + 109 - 160 - 2*h**2 + 23 + 30*h**3 - 4*h**4 to the form o*h**3 + n*h**4 + f*h**2 + b + r*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636508.8 millilitres in litres?\nAnswer: 636.5088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 82. Let y(p) = 2. Let t(a) = 2. Let n(u) = -5*t(u) + 4*y(u). Let w(x) = x + 9. Let l(z) = -9*n(z) - 2*w(z). Calculate l(h(c)).\nAnswer: 4*c - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*k + 2*k + 48, -4*a + 45 = -k. Find the first derivative of -a - 20*q**4 - 11 - 5*q**4 wrt q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 11) to base 5\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29985 is divided by 1815?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7047727.\nAnswer: 19, 59, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*c = -120*c - 186207. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(125)*-1 - sqrt(125)) + sqrt(125))*-4 - (sqrt(125) - (sqrt(125) + (sqrt(125) + -2)*4) - sqrt(125)))*2)**2*-1*-5.\nAnswer: -14400*sqrt(5) + 203780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u - u - 18*u)*(-31 + 1 - 51) - u + 0*u - u as w*u + k and give w.\nAnswer: 1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((-2*sqrt(153) + sqrt(153))\/sqrt(9))**2 - ((sqrt(119)*-2)\/sqrt(7))**2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5*g + 10. Let w be f(6). Suppose 0 = -2*n - 5*d + 34, -n + w*d = -20 + 3. Let u = 77 - n. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 3. Let i = -115 - -113. Let c be 51 - (3 + 1 + i). Calculate the greatest common divisor of d and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/(9\/(-5)). Let q be (-1)\/(-3)*0\/1. Suppose -v + q + 1 = 0. What is the nearest to v in -3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -143365601?\nAnswer: 143365601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.6 + -153. Let l = -3\/22 - 15\/11. Let w = 0.1 + 0.9. Which is the closest to -1? (a) w (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*p - 43. Calculate the remainder when p is divided by 1 - (7 + -3 + -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347\/4301 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/231 and 56\/680053.\nAnswer: 14281113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 344 + 344 - 3*c - 3*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*w**5 - 971*w**3 + 5*w**2 + 2365*w wrt w?\nAnswer: 1140*w**2 - 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5961 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51815, -103582, -155353, -207128, -258907, -310690, -362477?\nAnswer: -414268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -424*d**2. Let l(o) = 3*o. What is l(i(b))?\nAnswer: -1272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 8*m**2 + 2*m - 5. What is z(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -v - h + 8, 3*v - 88 = -4*h. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 14}. Give prob of sequence gwg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*v + 4*p - 3, -12 = -2*v - 4*p. Let a(q) = -9*q**3 + 2*q**2 + 5. Let s(c) = -5*c**3 + c**2 + 2. Determine v*a(m) + 5*s(m).\nAnswer: -7*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -118?\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 26 = 5*i, 3*i - 100*z - 72 = -105*z for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 2709 = 29*d. Suppose f + 1 = 0, -d = -t - 2*f - 2*f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -91. Which is the biggest value? (a) -4 (b) 4 (c) g (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9896395722 + 2.\nAnswer: 2.9896395722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255716, 1022997, 2301842, 4092257, 6394248, 9207821?\nAnswer: 12532982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 + 5*m**2 + 288*m + 272. What is o(-8)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3845 equal to -3846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzjzzpoitoo. Give prob of sequence oi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3939\/202*(2 - -4*(-1)\/3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8016 is divided by 1000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-6 + 8)) + 2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/5)*x*((x**(3\/7)\/x)\/x)\/x*x*x*(x*((x**(-4\/3)\/x)\/x)\/x)\/((x*x*x**(-1\/2))\/x) assuming x is positive.\nAnswer: x**(-673\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*f = -41 + 37, d - 4 = -f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/8, 23, 3\/7, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -2, 2, 3, 4 in descending order.\nAnswer: 4, 3, 2, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:35 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*y = 434*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 5. Solve t*c - 6 = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -73, -179, -339, -559?\n\"Answer: -s**3 - 18*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {i: 1, u: 5, b: 10, z: 1}.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-15 + -3 - -12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - (-9)\/4. Suppose 0 = c*k - 3*k. Let h be -2*(-2)\/4 - 0. Put k, 4, h in decreasing order.\nAnswer: 4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72.6 + -71.6. Let n be ((-1)\/16)\/((-1)\/2). What is the nearest to f in -0.2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 minus 15?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 8*r + 12. Let y be g(6). What is the units digit of (y\/(-1) + -3)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 177871?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(sqrt(200) + (sqrt(200) - sqrt(200)*-4 - sqrt(200) - sqrt(200))**2 + 6*(sqrt(10)\/sqrt(5))**2).\nAnswer: -21744 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 9 = 5175. Suppose -102*s = -101*s - i. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9456243 is divided by 411141.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 55*o. Let m be q(-6). Let f = -22259\/9 - -2478. Find the common denominator of f and m\/3*(-1)\/(-16).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 15*x**4 - 66*x**2 + 38*x**4 - 1339*x**3 + 68*x**2 - 24*x**4 in the form l + j*x**4 + p*x + o*x**2 + h*x**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Suppose x - 6 = -i*u - u, -3*x + u + 57 = 0. Does 2 divide 6\/(-3 - x\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/7 - 2242921*y\/7 - 2242922\/7 = 0.\nAnswer: -1, 2242922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 + 48772*b\/5 + 1071048\/5 = 0 for b.\nAnswer: -12171, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.4 - 78. Which is the nearest to -0.1? (a) h (b) -0.1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i. Let m(h) = -44*h. Let a(o) = -52*f(o) - 6*m(o). Let c(z) be the second derivative of 0*z**2 + 1 + 2*z + 0*z**3 - 1\/6*z**4. What is a(c(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 + 57*f**2 + 14*f**3 + 56*f**2 + 346*f**2 + 53*f**2 - 512*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 - 10*c - 6. Let i be x(-8). Let j be (-106)\/(-10) - (-4)\/i. Suppose -j = -r - 2. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -610 - -1183\/2. Calculate the common denominator of -13\/7 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.2. Let u = -13.24 + 13. Let s = u + 0.04. Sort s, 0.4, t.\nAnswer: s, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(3)*-1) + sqrt(24)\/(sqrt(6)\/sqrt(3)))\/(sqrt(4)*-2*-6*6))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzopzmzz. What is prob of picking 1 p and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c - 1444. Determine u(83).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 divided by 6?\nAnswer: 401\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15917 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -4, 1139\/2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -t + 39900. Let l be t\/(-4 + (-25)\/(-10)). What is l rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.88 - -0.12. Let b = -2660 - -61182\/23. What is the closest to -1\/3 in g, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724389*u - 724387*u + 2173174*u - 724399*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17812 and 598654?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12952 + 13000. Suppose 68*j = 73*j - 420. Calculate the highest common divisor of j and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896 + 2080 - 1058)*(-17*c**4 - 21*c**4 + 18*c**4).\nAnswer: -2520*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30951275?\nAnswer: 5, 1238051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 6, -35379.2 in increasing order.\nAnswer: -35379.2, 0.02, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**3 + 0*m**4 + 4*m - 13\/2*m**2 + 0 + 1\/2*m**5. Differentiate f(w) wrt w.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -92*n**2. Suppose 0 = -2*x + 5*a - 14, -8*a + 9*a - 10 = -2*x. Let f(z) = -7*z + 13*z - x*z. What is f(r(l))?\nAnswer: -276*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.4 (c) -2 (d) 0.3 (e) -1.76 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-42) - 8)\/((-8)\/(-6)*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(4\/(-10)). Let v(r) = -4 - 3 + 3*r + 0 + 0. Let l be v(4). Put -5, l, d in decreasing order.\nAnswer: l, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -5 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/((f**13\/f)\/f))**(-46) assuming f is positive.\nAnswer: f**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r = 0. Let p be 100\/28 - (3 - r). Sort -3, 0.2, p in decreasing order.\nAnswer: p, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4225*u**3 + 3965*u**2 + 256*u + 4 = 0.\nAnswer: -2\/65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -506*o**3\/3 - 112*o**2 - 464. What is the second derivative of n(z) wrt z?\nAnswer: -1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 803*k - 3210. Let z be l(4). Solve -4*s - 28 = 4*q, -3*q - z*s - 11 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 4. Let w(c) = -2*c - 3. Let k(p) = 4*p + 6. Let j(m) = -4*k(m) - 7*w(m). Let s(d) = -4*j(d) - 3*o(d). Let a(y) = 6*y. Give s(a(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8531 + 8484. Let h(o) = -3*o - 7. Let v be h(-3). Put -3, c, -1, v in increasing order.\nAnswer: c, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3. Let o be s(1). Solve c + 5*v = 3*v, -4*c + o*v = 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2096 and 15\/2096.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -178, -0.7323, 1 in decreasing order.\nAnswer: 1, 2\/5, -0.7323, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 914982 + -618582. Suppose p = -31*d + 18*d. What is d rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123500 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1301?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/(-105))\/((-2)\/(-40)). Let b(k) = -k - 8. What is b(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-5 + 3 + 0)*(d - 3*d + d).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4701*r**5 + 8*r**2 - 26*r - 7 wrt r?\nAnswer: -282060*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {y: 1, p: 1, n: 1, h: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3501, -6999, -10495, -13989, -17481?\n\"Answer: k**2 - 3501*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -10. Which is greater: -0.2 or f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Suppose 3*n = -p*x + 25, 3*n = 2*n - x + 7. Suppose 17*u - 18 = 15*u. What is the remainder when u is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 404d5 (base 15) to base 12\nAnswer: 999a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h - 1)*(-2 - 12 + 6) + (-1 - 2 + 1)*(-2 + h + 2) - 191 - 16*h + 191.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 54. Let n = -50 + s. Is (-338)\/n - (-2)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4693 (c) 0.1 (d) -2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzw when three letters picked without replacement from rarwrwarzzrzaawjar?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.044923 + 0.0497371. What is x rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2333411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 168 - 518 = -5*l, -244 = -4*l - 4*y. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1413486.9276 - -1431469.867698. Let k = -17983 + m. Let g = -0.06 - k. Round g to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 20. Suppose x + 4412 = a*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 139339.86 months?\nAnswer: 11611.655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -g + i + 2*i - 59 + 54, -2*g - 280*i = -1410 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-13) - -1 - (-27)\/((-3159)\/(-10278)). What is the highest common divisor of h and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3081 and -0.04?\nAnswer: -123.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-18))\/(7\/3). What is the closest to -1 in 0.2, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/12)\/(-1)*(-24)\/30\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 5*i**8\/56 - i**6\/15 - i**4\/4 - i**3\/3 - 93*i. What is the third derivative of g(n) wrt n?\nAnswer: 600*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223 * 4.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2 + (-2421)\/(-3) + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 20*o**2 - 41*o - 19*o**2 + 449*o + 82 to the form t + n*o**2 + j*o and give j.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-104*f + 70*f - 107*f)*(-f - 3*f + 2*f) + 0*f**2 + 3*f**2 - f**2 + (2 + 0 - 1)*(f**2 + f - f) to the form i*f**2 + q*f + r and give i.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -204\/153143 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.5. Let t(r) = -5 + 5 - 4*r + 3*r - 1. Let k be t(2). What is the closest to k in o, 3, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-10) + (-15)\/(-25). Suppose 4*p + 2*z - 77 = 3*z, -z + 94 = r*p. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-9)\/6*-22*6\/48.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 + -27)\/832)\/((-4)\/32).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 2. Let u be (2 + j\/(-1))*-3. Suppose 0 = -2*o - u*d + 21, 7 = 2*o - 3*o + 2*d. What is the highest common factor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 + 638*s**2 - 1012*s wrt s?\nAnswer: -12*s + 1276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 7 - 2*t - t. Let x be w(-10). What is the greatest common factor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 969*c**4 + 1306*c**4 + 670*c**4 - 601*c**4 + (0*c + 2*c + 0*c)*(5*c**3 - 5*c**3 + 2*c**3) as d + t*c**4 + j*c**3 + q*c**2 + w*c and give t.\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01487 and -488.71.\nAnswer: -7.2671177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/108)\/(1\/(-3))*8. Solve -a = -2*k - l*k + 1, 5 = -5*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/91 + 31*4\/336?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1658*f**2 + 4341*f - 4341*f + 656*f**2 + 2 as v + b*f**2 + c*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10875*t - 405084 wrt t.\nAnswer: 10875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/18 + 2*j**3\/9 + j**2 + j + 11. Factor c(k).\nAnswer: -2*(k - 3)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/3 + -8. Which is the third smallest value? (a) 1 (b) f (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 7*t**4\/6 - t**2. Let p(s) = 28*s - 736. Let m(w) = -8*w + 207. Let n(d) = -32*m(d) - 9*p(d). Calculate 3*h(u) - 20*n(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/3 + 9044*r**2\/3 - 2493532*r\/3 - 2520700 = 0. Calculate r.\nAnswer: -3, 325, 1939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/6)\/(2\/(-18)). Is 369 + (-6)\/y*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/260 and 56\/143?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 12 = 4*w - 0*w, 5*w = -5*m + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 726*j**4 - 499*j + 2?\nAnswer: 8712*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 12. Suppose 3*k - 28 = l*y - 2*y, 60 = 4*k + 3*y. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 585\/4. Which is the nearest to 0? (a) d (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85360 and 478016?\nAnswer: 2390080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16848890 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2792.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/6))**(5\/11))**(5\/3))**1 assuming g is positive.\nAnswer: g**(-25\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2 + 2*v + 4. Let c be n(2). Let g(u) = -10*u - 25. Let f be g(c). Suppose -7 = q - 3, -5*q = 5*t - f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/9 (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 - 6 = 0, 2*w + 146 = -f. Let s = -41 - w. Suppose 3*h = 2*j - s - 95, 2*j - 2*h = 126. Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 290. Let p(j) = -1 + 561*j - 558*j + 1. Determine p(t(b)).\nAnswer: 6*b + 870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3 - -18)*9. Let m = -31\/35 + q. Put -5\/7, 1, m in increasing order.\nAnswer: -5\/7, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -58*c**3 + 3*c**2 - 13*c - 16. What is the lowest common multiple of 92 and v(-1)?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 3*g - g + (1 + 1 + 0)*(0 + 0 - g) - 4*g + g + 2*g + 0 + 0 + 3*g)*(4*g**2 - g**2 + g**2 + (2*g - 2*g + 2*g)*(g + g - g)).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 0*r**2 - 2*r**2)*(0 + 11 - 5) + (-5*r + 0*r - 6*r)*(2 - 2 - r).\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s - 7*s - 2*s**3 + 0*s in the form i*s**2 + o*s + k*s**3 + n and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7673213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 42860 + 10370. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g**2 - 1799*g - 115. Calculate s(120).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n**2 - 1. Let r(k) = -4 + 1 + 1 + 11*k + 2. Give m(r(i)).\nAnswer: 1573*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 + 156*m**3 + m**2 - 106 wrt m?\nAnswer: 48*m + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256 - 0?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3)\/d**(-2)*(d**(-2\/7)\/d)**(-44))\/(((d*(d\/d**(-1\/4))\/d*d)\/d*d)**1)**11 assuming d is positive.\nAnswer: d**(1059\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-3))\/(-1)*5. Let g = w + 7. Sort 5, g, 2.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(208) - (sqrt(208)*-6 + sqrt(208)))**2) + 5*sqrt(468).\nAnswer: -7488 + 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 1904 = 14*l. List the prime factors of l.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51793174 rounded to 2 decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4241?\nAnswer: -4232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Suppose -52*y = -261 - 51. Solve h*o = y*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 5 + -1*sqrt(425))*-2 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008552914 rounded to six decimal places?\nAnswer: -0.000855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d**2 + 2*d. Suppose -66 = -8*t + 158. Let r(u) = -2*u + t - 28. Calculate p(r(b)).\nAnswer: -64*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3873\/14 - 640\/560. Which is smaller: p or 276?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-3 - 4) + (-3 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 126 + 3*q**3 - 3*q**3 + 0*q**3.\nAnswer: q**3 - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(2\/5)*o\/(o\/(o*o*o**6*o))*o*(o*o*o*o\/(o*o\/(o*o*o**1)))\/o*o)\/((o*(o\/(o**(-8\/7)*o))\/o*o)\/(o\/o**(-3\/8)))**(-1\/13) assuming o is positive.\nAnswer: o**(10963\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 35 = 4*l, -422*l + 413*l + 5*z - 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 0*j - 2*j + (2*j - 9 + 9)*(11 - 82 + 36) - 3*j + 5*j - 3*j - 2*j + 0*j + 4*j as a + c*j and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 50*m**2 - 26*m - 541. What is the remainder when c(30) is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450554 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11531303 to the power of 1\/2, to the nearest integer?\nAnswer: 3396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2202073*p + 2166426 wrt p?\nAnswer: 2202073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/67 (b) -3.30023 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppppiippippipppppp?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 6768, 24097, 58158, 114525, 198772?\nAnswer: 316473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3*a + 5. Let s(m) = -2*m**2. What is i(s(r))?\nAnswer: -4*r**4 - 6*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - ((-5 - -10) + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 0.0599\nAnswer: 0.004193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4815 + 26473*h**3 - 2411 - 2404.\nAnswer: 26473*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1849, 1877, 1905, 1933, 1961, 1989?\n\"Answer: 28*y + 1821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 + 1. Let b be a(1). Let n = -4276\/5 - -833. Let m = n - -757\/35. Is m smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*u - 1015972 - 2570088. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/58240 and -89\/392?\nAnswer: 407680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -18 + -7 + (-3416)\/(-264).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 79385*k. Let b(i) = 3*i. Determine q(b(x)).\nAnswer: 238155*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0 - 8. Suppose -c - o = -5*c. Factor 0*v**2 - 2*v**3 + v**4 - 14*v**c + 4*v + 13*v**4 - 2*v**3.\nAnswer: 2*v*(v - 1)*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/20 and -103\/45810?\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25\/3391 + 1770727\/84775. Is 22 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -20\/2589?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g + 428*g - 305311*g**3 + 2 + 5 - 3 + 297818*g**3 wrt g?\nAnswer: -44958*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 5. Let t = q + -5. Factor -1\/4*s**t + 1\/2 + 1\/4*s.\nAnswer: -(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 + 7*m. Suppose 40 + 10 = 5*j. Suppose -2*f - 3 = -5, 2*k + 4*f = -j. Let p be q(k). Solve p = g - 2 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(-21) + 15\/7 + -2. Let q be (-4)\/(-3) - (-252)\/(-162). Which is the third smallest value? (a) f (b) -2\/13 (c) q (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -167*y - 12585. What is d(-76)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 388, -13037, 5 in ascending order.\nAnswer: -13037, -2, 5, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 10*d + 4. Let b be g(10). Let x = 39 - b. Let l = x + -26. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-24))\/((-117)\/(-351))*(-6)\/14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 9*g - 5*g**3 + 9*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 11 = 3*l, -38*l + 19 = 2*r - 35*l for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 948358784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 13205045.\nAnswer: 52820180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 20 = -14*u. Let h be (-6)\/(-2) + (-3)\/(-1) + 44. Let c = 53 - h. Solve 3*o - 25 = -5*f, c*o + o - 25 = -u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88044 divided by -7337\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 6*b + 5. Let d(t) = t**3 - t - 1. What is 5*d(p) + z(p)?\nAnswer: 6*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 35080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603.693 rounded to the nearest integer?\nAnswer: 4604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1852, 1819, 1756, 1657, 1516, 1327, 1084, 781?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13.7. Let y = -10.3 + v. Let t = 9.011 + y. What is t rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 1. Let r(n) = -102*n**2 + 85. Let m(s) = 85*h(s) + r(s). Let p(d) = 347 + 4*d**2 - 347. Determine p(m(q)).\nAnswer: 1156*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2197 - 123*j - 3*j**2 + 453*j - 330*j as n*j + p*j**2 + h and give h.\nAnswer: -2197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113, -230, -351, -476?\n\"Answer: -2*c**2 - 111*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c - 5 + 9\/2*c**2 + c**3. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*24\/(6 - 2). Let q be (1 + -4)*(-70)\/g. Let l = q + 62. Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -22420630?\nAnswer: 22420634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573?\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -23*t + 3. Let l(g) = 23*g - 4. Determine -3*l(u) - 4*o(u).\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -4*b - 101. Let q = b - -92. Find the second derivative of 107*d**q - d**2 - 21*d + d**2 - 138*d**3 wrt d.\nAnswer: -186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80369*r + 80369*r - 297*r**2)*(-2*r + 5*r - 2*r)*(-4 + 1 + 1).\nAnswer: 594*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230845847?\nAnswer: 191, 269, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - (-5)\/10. Suppose z = 2*v - 178 - 328. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 63, 193, 387, 651?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1136 + 1141. Solve 0*k - k = 3*r + 14, -25 = a*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 - 57604*j + 57604*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010, 2064, 3152, 4274, 5430, 6620?\nAnswer: 7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 6*h. Let n(u) = 9*u**2 + 17*u. Let k(w) = -17*g(w) + 6*n(w). Let m(l) = -4*l**2. What is m(k(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 3. Let l(h) = -6*h - 10. Let t(g) = -10*c(g) + 3*l(g). Let w(n) = -2*n. Calculate -3*t(b) - 2*w(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18328 - 18323. Let k = -0.9 + 1. What is the biggest value in m, k, -8\/5, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(72)*1)\/sqrt(9))\/(sqrt(4)*2*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -7*o**5\/120 + 53*o**4\/12 - 5*o**3 - 2*o**2 + 1374. Solve y(p) = 0.\nAnswer: 2\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:46 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 618.5 and -1.13.\nAnswer: -698.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1168 and 1119 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**3 - 3*f**2 - 6*f + 5. Let k be -2 + (-33*1 - -4). Let l = -28 - k. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 36 - 3*k + 3*k - 49*k**3 + 0*k - 4*k**2 to the form a*k**3 + v*k**2 + z*k + m and give a.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/(-38))\/(2\/(-56)). Suppose -o - 5*i = -25, 0*i - i + u = 2*o. What is the biggest value in o, 1\/4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 154 = -119*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158618.\nAnswer: 2, 79309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 161002 + -50?\nAnswer: 160952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1144 + 2295\/8008. What is the second biggest value in m, -11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(-5*l + 0*l + 4*l)*(26 - 76 - 57).\nAnswer: 321*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1104402*m. Let b(u) = 8*u**2. Determine z(b(p)).\nAnswer: 8835216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(20)\/sqrt(5)*-3) + (-2*sqrt(252) - sqrt(63))\/sqrt(9))**2.\nAnswer: 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -462 (b) -3\/8 (c) -2 (d) -5\/2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 1662 + 2302. Which is smaller: -156 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211321 is divided by 587?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33317021858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 10. Let k be i(-10). Suppose -4*n = 16, 5*a - 2*n = -0*n + 18. Let r be 0\/a - 0 - -1. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*f**3 - 3*f**2 - f + 526405 with respect to f.\nAnswer: -273*f**2 - 6*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 10*v**2 - 78*v - 764. Give d(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (384620\/(-16))\/(-10 - (-825)\/88) 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 6:40 PM and 4:50 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 + 6*a + 2. Let h be j(-6). Suppose h*f + 12 = 4. Let l(q) = -2*q + 5. Let p be l(4). What is the closest to -2\/5 in -1, p, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 67 = 459. Suppose w - c = -3*t, -32 + 140 = 2*w + t. What is the smallest common multiple of w and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 23.4. Let t = l + -4.39999866. What is t rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112256886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/(-180))\/(8\/120))\/((-1)\/(12\/4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(5 + 448\/(-88)). Let c(k) be the second derivative of k**4\/12 + 3*k**3\/2 - 6*k**2 + 3*k. What is the tens digit of c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -3*k + 40 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/7 - 238872*c**3\/7 - 136494*c**2 - 238852*c\/7 + 1433184\/7 = 0.\nAnswer: -119432, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 3*r + 6*r. Let g = -4 - -6. Let n = g - 3. Let m(f) = 1. Give n*m(i) - 2*c(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 122. Suppose -4*r + 848 = i*r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1*1\/2. Let y(m) = -12*m + 151. Let w be y(13). What is the nearest to j in w, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1675*j - 195979. Give o(-117).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05 times 1959.02?\nAnswer: -2056.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9093028ml?\nAnswer: 0.0009093028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:39 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128878 - 3*o - 45659 + 25*o.\nAnswer: 22*o + 83219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -122 + 5\/3*g**3 - 1\/12*g**4 + g - g**2. Determine f(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*i**2 - 170*i**2 - 144*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -65*z + 68*z. Let f(s) = 8*s + 7. What is the remainder when f(4) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/2)\/w)\/w)**23\/(w**0)**(8\/3))**(-1\/4) assuming w is positive.\nAnswer: w**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, r: 1, d: 1, q: 1, s: 2}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 8 = 40. Suppose 3*o - 65 = 2*d + 59, 3*d + u = 0. Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -7. Let l = 3 - 2. Let w = -1 - 0. What is the nearest to 2\/5 in t, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - 0. Suppose 5*q = 6 + 39. Let h(b) = -b**2 + 8*b + 9. Let o be h(q). What is the closest to 0.3 in i, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-27)*-2 + ((-40)\/(-630))\/((-384)\/(-556864)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19809 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44*17\/(-16)*-4. Suppose 2 = 7*v - w. What is the greatest common divisor of 72 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 13*h**7\/35 + 2*h**5\/15 - h**3\/2 - 25*h**2. Find the third derivative of k(g) wrt g.\nAnswer: 1872*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19420*k + 22 = -8*s - 19422*k, 4*s + 14 = 2*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/(22632\/(-721395)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33d43bd + -4?\nAnswer: 33d43b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -19 - (-15 + (2 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*p - 886*p = 1119*p - 1401 - 41005 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 22*p + 30 = 25*p, -3*p = -5*t + 33. What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76555 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 - 95. Let h = i - 31. Suppose 2*f + r = 10, -r + h = 3*f - 6*r. Sort -13, -0.4, f in increasing order.\nAnswer: -13, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 times -0.02\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*172\/4515.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5)*-4 + sqrt(5))**2 + (sqrt(80)*2 - sqrt(5) - sqrt(5)).\nAnswer: 6*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 4*s - 2*s. Let o(j) = j + 5. Let m(x) = x + 6. Suppose 3*z = 4*z - 6. Let y(p) = z*o(p) - 5*m(p). Calculate q(y(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5608*u = 3209*u - 1643*u - 380222 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/24)\/(4\/(-21)) + -2. What is the second smallest value in z, 157\/4, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.1. What is the closest to 2\/3 in -0.5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4898 - -49027\/10. Let s = 365\/2 + -178. Let h = j - s. Is 0 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 360*o = 8*q + 352*o + 270, -51 - 180 = -2*q + 5*o for q.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1 + 9*r + 5*r**2 - 2*r**3 - 3*r**2 - 2 - 5*r**3. List the prime factors of a(-3).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 + 60 + 57)*(-4*r**3 + 4 - 4).\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10614787391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - 28\/(-12). Suppose 0 = -0*n - n + d. Solve -n*m - m - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -223. Let o = -70 - u. Calculate the remainder when 58 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.666278kg in tonnes?\nAnswer: 0.006666278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -1. Let q be 360\/25 - (-2)\/v. Solve -2*m + 3 = 2*r + 11, -5*r = -m + q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4, -h = -4*b - b - 1359. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 8:58 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -40. Calculate the remainder when 28 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 29 + 88\/5*x**5 + 0*x + 0*x**4 + 0*x**2 - 76\/3*x**3. Find the third derivative of j(c) wrt c.\nAnswer: 2112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385 is divided by 393.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -508443?\nAnswer: -10\/508443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -28, 0, -4, 2 in ascending order.\nAnswer: -28, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 348*i**3 - 100*i - 100. Give z(-1).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33408276 to the power of 1\/2, to the nearest integer?\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924783942 to the nearest integer?\nAnswer: 30410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*t + 124*t + 71*t)*(-7*t**2 - 10*t**2 + 11*t**2)*(-4*t + 4*t + 2*t).\nAnswer: -2796*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l**(-2\/23)\/l) assuming l is positive.\nAnswer: l**(140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -17*i**4\/7 + 7*i**3 - 45*i**2\/7 + 11*i\/7 + 2\/7 = 0?\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 2141234?\nAnswer: -2141310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose s = -4*u + 2*u + 14. Suppose -4*f + x - 4*x + 15 = 0, 10 = -2*f + 2*x. Solve 2*m - u - 3 = f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/297 and -47\/81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 6:11 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9551981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 12000?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 2654113?\nAnswer: 5308226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 671399739 to the power of 1\/3, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/13, 5, -4, 1\/5, 2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*y**4 - 8*y - 121.\nAnswer: 488*y**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(627)\/(sqrt(11) + sqrt(44)\/sqrt(4)))\/(sqrt(3) + sqrt(12)*1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2*c + 2. Let x be m(-5). Let z = x + -12. Suppose 0 = -z*d - 8 + 23. Solve 0 = 2*j + d*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = -78*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1598, 0.\nAnswer: -1598, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 58*z. Let d(x) = 17*x - 6. Let p(h) = 42*h - 15. Let u(m) = -5*d(m) + 2*p(m). Determine n(u(y)).\nAnswer: -3*y**2 - 58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8121143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-656)\/41*(-2)\/(-3)*9\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11199 + -174?\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1304006 - 1311389.9952. Let q = r - -7393. Let u = -9 + q. What is u rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(18\/(-27))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, r: 6}. What is prob of picking 3 r and 1 k?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1, 5, -45.\nAnswer: -45, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.0755611?\nAnswer: -0.02266833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1978*j**5 - 39723*j**4 + 2*j**3 - 18*j**2 - 624994 wrt j?\nAnswer: 118680*j**2 - 953352*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16\/59 - 1390\/531. Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-253)*11 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -89*d**3 + 5*d**2 + 26*d. Let b(y) = -y**3 - y**2 + y. Let i(u) = a(u) + 4*b(u). Find the third derivative of i(c) wrt c.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y + 95*y - 3*t - 504 = 0, 0 = -3*y - t - 42 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {a: 2, s: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57260 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3\/6*-46. Is 1*16*m\/46 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 185830.604?\nAnswer: -185831.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120\/90 - 2\/6. Suppose -w = 2*w. Calculate the common denominator of (g - w)*-86*2\/32 and 31\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4196*l**2.\nAnswer: -4196*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16348485 and 3269697?\nAnswer: 16348485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -50*s + 852. Calculate v(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 6783336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 589604 divided by -294802\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(8))*5 + 2*sqrt(8) + sqrt(8) + 2 + 5)**2.\nAnswer: -416*sqrt(2) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 8 (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007411 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 93, 0.5?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3307430*b**3 + 6.\nAnswer: -3307430*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3957 - 15798 + 3944 + 3944 - w + 3953 + 5*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 14582387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 5*g, -4*g - 10 = q - 6*q. Find the second derivative of -5*w**4 - 2*w - q*w**2 + 2*w**2 - 2*w**4 wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - (-6 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*b + 16, 5*b + 69*u = 66*u + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 3*v + 72 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37219 and 20839?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24291538*z**2 - 4044*z + 1700?\nAnswer: -48583076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - g + 64. Let q be x(0). Let l = -50 + q. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5)*(-c + 12*c - 2*c) in the form w + y*c and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*u**4 + 0*u**3 + 0*u - 3\/7*u**2 + 0.\nAnswer: 3*u**2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 8 - 2) + 20400 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/30681?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 17 (b) 3 (c) 874 (d) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 133?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 0 + 50 - 13 + 2*u**3 + 5.\nAnswer: 2*u**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78330 is divided by 5948.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 34, -1, -12, -1\/3, -3 in increasing order.\nAnswer: -12, -3, -1, -1\/3, 34, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**4 - 147*c**3 - 930*c**2 - 1900*c - 1256. Let t(o) = -o**4 - o**3 + 6*o. Let m(a) = 4*t(a) + z(a). What is v in m(v) = 0?\nAnswer: -2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852*o = 6833*o + 397085 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 32. Let z be c(-11). Solve 3*w + w = -z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6377*l**4 + 12*l**2 + 2*l - 5.\nAnswer: -153048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 653*b**3*o*z**3 - b**3*o*z - b**3*z**4 - b**2*o*z**2 - 11*b*z**2 wrt z.\nAnswer: 3918*b**3*o - 24*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 301800 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*a - 4, 11 = a + 5*l + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o - 2. Let g be u(-10). Suppose -4*c = k + 29, 0 = c - 4*c - 9. Let d = k + g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*z - 184*z - 63*z.\nAnswer: -127*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 12 = 4*o. Let x(g) be the first derivative of 13*g + o*g**4 - 7*g - 13 + g. What is the first derivative of x(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28589104 to the power of 1\/2, to the nearest integer?\nAnswer: 5347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 19*v + 172. Let c(b) = -b**2 + 15*b - 169. Determine 5*c(l) + 4*i(l).\nAnswer: -l**2 - l - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 18\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d*d*(((d*d**7)\/d)\/d)\/d*d*d))\/d)\/(d\/d**(-6)*d))\/(d**(1\/2))**27)**(-1\/28))**(2\/73) assuming d is positive.\nAnswer: d**(61\/2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**(-50) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*g + 26 = 79, 2*t = 3*g + 24. Suppose 0 = -5*c - 32 + 7, 2*j + 54 = -2*c. Let s = 47 + j. What is the remainder when s is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 894021 and 25863.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 4*l + 6, 0 = -2*l - 4*k + 8. Suppose -311 = 5*a + w - 64, 3*a + 149 = -w. Let j = a - -54. Put -1, -4, l, j in decreasing order.\nAnswer: j, l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5*v + 349106*i**3*v**2 + i**3*v - 7476*i**2*v**2 + 41*i*v**2 + 2 wrt i.\nAnswer: 60*i**2*v + 2094636*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31.6*-913.8\nAnswer: -28876.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/6 + 3*m**2 + 47*m. Let j(r) = -r - 6. Determine 5*f(g) + 4*j(g).\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2443417*4\nAnswer: -9773668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -103102123 (base 4) to base 2\nAnswer: -10011010010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.34 + -7. Let w = 0.34 - r. Which is smaller: w or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41317802 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 - (4 - 3 - 1). Let g be (l\/(-18))\/(1\/30). Calculate the highest common factor of 100 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l**5 + 4*l**4 + 84*l**3 + 44*l**2 - 8*l = 0. Calculate l.\nAnswer: -1, 0, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -55536 (base 8) in base 2?\nAnswer: -101101101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1210436*c - 1211024*c + 3.\nAnswer: -588*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 215 and 43972\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 - -805. Let x(p) = -189*p - 325. Let g be x(-6). Let b = g - q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/24 + 13*c**3\/6 + 4*c**2. Suppose -2*q - f = 21, -19 = -q + 5*f - 2. List the prime factors of w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.32 - 29. Let n = -80.4 + 94.08. Let b = q + n. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 345. Let v = i - 78. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(500) + sqrt(500) + (sqrt(500) - (sqrt(500)*1 - sqrt(500)))))\/(-5*(-1*sqrt(1210) + sqrt(1210) + sqrt(1210) + sqrt(10))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and -28\/393.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Suppose z*m - 38 = 4*s, 5*m - 2*s - 102 = -5*s. Suppose -2*q + 412 = -4*k, 376 = 2*q - k + 6*k. What is the greatest common factor of m and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 - b**4\/2 - 93*b**3\/4 + 137*b**2\/2 + b - 90 = 0.\nAnswer: -10, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 2 + 2 + (-3 - 2 + 3)*(0*k - k + 2*k) + k + 0*k - 2*k - 3*k + 2*k + 2*k + (0 + 1 - 2)*(3*k + 2*k - 4*k) + 12*k - 8*k + 3*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -3*f**2\/2 + 12*f - 120. Determine c(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(114)\/sqrt(6) + -2)**2 - (sqrt(152) - -2*sqrt(152))\/sqrt(8).\nAnswer: -11*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4 + 3 - 8*y - y**3 + 7*y**2 - 1. Let o be l(6). Let v be (-7)\/2*o - 1. Solve 0 = -3*d + 7*d + v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -288 + -5?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 18 = 54. Solve -4*d + c = -8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 252*u - 22 - 981*u + 22 - 781*u in the form p + x*u and give x.\nAnswer: -1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 37 - 3*r**3 + 11*r**2 - 2*r**4 - 15*r**2 to k*r**2 + c*r**4 + x + y*r**3 + h*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -5, -445, -6, 44 in ascending order.\nAnswer: -445, -6, -5, 44, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {q: 3, s: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 21*x**6 + 6*x**3 - 31*x**2 - 6. Let o(u) = u**6 + u**3 - 1. Let d(c) = 6*o(c) - q(c). Find the third derivative of d(y) wrt y.\nAnswer: -1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60734016 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -545*t. Let d(l) = 43*l - 4. What is d(q(o))?\nAnswer: -23435*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 23*h + 37. Suppose i = 2 + h. Suppose -5*s + 2*g = -191, -3*s - 3*g + 108 = -2*g. What is the remainder when s is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-36))\/((-528)\/(-720))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 21\/2*b**3 + 0*b - 11\/2*b**2 - 1\/2*b**5 - 9\/2*b**4 + 0 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (25 + 27 + 65) - (0 + -13).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2329032*d**2 + d + 2896045 wrt d.\nAnswer: -4658064*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sum -1.34 and 0.16829079133.\nAnswer: -1.17170920867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(7*w**2 - 42*w + 42*w) + (0*w + 3*w - 2*w)*(3*w + 2*w - 3*w) to the form l*w**2 + m*w + d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 69. Find the second derivative of -y*w + 8*w**2 + 20*w + 15*w wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -30*d + 38. Suppose 0 = -3*t - 2*t + 2*r + 26, -4 = -2*r. Suppose t*s - 35 = s. Calculate the remainder when s is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 179300 - 358598 + 179298.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 602 times -6417\nAnswer: -3863034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 2*c, 0 = -5*c - q + 9 + 26. Let y = -4 + c. Does 16 divide (-8)\/(y\/8*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*u - 991, u = 3*i - 700 - 793. List the prime factors of i.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 30, -3, 3\/7 in decreasing order.\nAnswer: 30, 3\/7, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*o + 24, -y + 5*o = 4*o + 8. Let t be y\/(-2 + (-2 - -5)). Let s be (-82)\/t - (-4)\/(-6). Solve 2*m - s = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -676.7 - 133.3. Let w = n + 809.99999274. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -660389695 + 13775729142983\/20860. Let i be (0 - (-6)\/9) + 4190\/(-6258). Let u = y - i. Calculate the common denominator of u and 53\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + 3*a**5\/20 - 5*a**4\/8 - a**3 - 8*a**2. Calculate the remainder when 34 is divided by n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a01 (base 12) in base 10?\nAnswer: -23905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqovvvvvvqvi. Give prob of sequence qq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8727\/9997 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26229?\nAnswer: 3, 7, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 339, 335, 329, 321, 311?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*b = -72*b - 14 + 14 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 116.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8373517\/8127 - -55\/1161. Let z = x + 1032. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358779636.\nAnswer: 2, 61, 691, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*4\/(-16) - 1. Suppose 0 = -2*v - i*v + 106. Calculate the remainder when v is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 78 = -3*g, 19*g + 2*f + 0*f - 116 = 14*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-7 - (6 + -8 + -7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 2*y**4 - y - 3*y - 8*y - 4 to the form v*y**3 + d*y + m*y**4 + j + q*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 44*s = -5*s - 688 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 17 + 26. Solve -3*o - k*o = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.2, -0.21, 18, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 7)*(-3 + 3 + y) - 3*y + 0*y + y + (1 - 1 + 2*y)*(1 - 1 - 1).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909109.\nAnswer: 4909109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.72549 less than -0.2?\nAnswer: -7.92549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let q(y) = -y**3 + 5*y**2 - y + 15. Let j be q(d). Solve w + 4*w = -j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 - 21*h\/2 - 108 = 0. Calculate h.\nAnswer: -24, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 = -12*s + 7*s, 3*b = -5*s + 39. Suppose 21320 = -3*d - 16210. Is (48\/(-52))\/s + d\/(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysarrdayra. Give prob of sequence yysd.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-35) + 16\/(-14))*1. Let x(v) = -v - 1. Let p(g) = -12*g**2 - 36*g - 18. Let q(d) = w*p(d) + 18*x(d). Find the second derivative of q(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3 + 16*m**2 - 176*m + 384 = 0.\nAnswer: -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 89 + 657 = -114*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrlllllllrllrrlllr. What is prob of sequence rrl?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 19*r + 7*r**2 + 8*r**2 - 6 - 18*r**2. What is the tens digit of k(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:45 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 8. Let j = -20611 + 20604. Let m(z) = 21*z + 2 - 3 + z**3 + 5 + 10*z**2. Let x be m(j). Calculate s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -b + 8053, -3297 = -3*b + 5*n + 20830. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 50\/20 - (-10)\/12. Which is the nearest to 1\/3? (a) -0.4 (b) 3\/5 (c) l (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1119*g**3 + 99*g**2 = 0?\nAnswer: -33\/373, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*h + 29*h - 9*h + (2 - 5 + 4)*(4*h + h - 3*h) - 3*h + 3*h - h + 2*h + 2*h - h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -0.5, 2\/93, 32, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) 0.0044 (c) -3\/7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/2 - (-4489)\/938. What is the closest to -0.2 in h, 0.2, -66?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/65144 and -23\/144.\nAnswer: 1172592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372 greater than -1432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -31\/6 (b) -0.14 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6121 - -6245. What is the remainder when 277 is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c9 (base 16) in base 4?\nAnswer: -1003021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7929059 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 4. Let a = 14 - 9. Let d(s) = -5*s + 2349 + 7*s - 2358. Let x(w) = a*b(w) + 3*d(w). Calculate x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19103 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21738 is divided by 2119?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -189416364798?\nAnswer: 189416364799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133284842 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f*(f**(-1\/2)\/f)\/f))**(-20)\/((f**(-1\/4))**(-12)\/(f**(1\/5)\/f*f**(-6)\/f)) assuming f is positive.\nAnswer: f**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 9. Let a be f(-9). Suppose -2*c = -5*u + 2*u, 0 = -c + 4*u - 5. Suppose a = -c*i - i + 24. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (10 + -9) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -263*k - 1. Let u(n) = 4*n. Give u(g(r)).\nAnswer: -1052*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12815, 26667, 40517, 54365, 68211, 82055, 95897?\nAnswer: 109737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 6. Suppose n*c - 126 = 5*c. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1972\/7 (c) 5 (d) -0.1 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u**3 - 21*u**2 - 20. Let a(z) = 5*z**3 + 5*z**2 + 5. What is -9*a(p) - 2*y(p)?\nAnswer: -9*p**3 - 3*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 303 = 195 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*y**4 + 136*y**3 - 3481.\nAnswer: 140*y**3 + 408*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -533*p**2 + 269*p**2 + 38*p**2 - 326*p**2 - 352*p**2 in the form f + v*p + c*p**2 and give c.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 162, 558, 1332, 2610, 4518, 7182, 10728?\n\"Answer: 21*p**3 - 3*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -44713 (base 8) to base 14\nAnswer: -6c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111801.\nAnswer: 1111801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1366, -5428, -12234, -21814, -34198, -49416, -67498, -88474?\nAnswer: -112374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/21))**(-11) assuming l is positive.\nAnswer: l**(-253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 76 = -244 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18280567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056971 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*1 - (-6)\/9. Let l be 8\/(-14) + x - 31\/217. Solve l*v**2 + 0 + 0*v + 2\/7*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x**(-4)*x\/x**(-5)*x**(-3\/4))**(-1\/2))**(-35) assuming x is positive.\nAnswer: x**(-385\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/42)\/((-18)\/63). What is the third derivative of -72*a - 6*a**5 + 2*a**2 - 2*a**4 - 3*a**q + 69*a + a**2 wrt a?\nAnswer: -360*a**2 - 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(98) - (3 + 3*sqrt(98) + sqrt(98))**2.\nAnswer: -1577 - 105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 + 3*p - 2. Let b be f(1). Sort -5, 6, b.\nAnswer: -5, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23170368 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 7 + (-2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l - 3*c - c, -l - c = 0. Suppose -l*d + w + 4*w = -115, 0 = 4*d - 3*w - 89. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-20)*v\/v**22 assuming v is positive.\nAnswer: v**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32 from -18473024167.\nAnswer: -18473024199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 15. Let p be g(12). Let i = -22 - p. What is the derivative of 11 - i*o**3 - 1 - 1 wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from olgolooa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 76*y - 18. Let m(x) = x**2 - 43*x - 10. Let p(j) = -4*c(j) + 7*m(j). Let f(i) = 10*i**2 - 7*i - 5. Determine 2*f(h) + 5*p(h).\nAnswer: -5*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 9898.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 20. Let q = 17 + g. Suppose -3*c + q + 5 = 0. Which is smaller: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 0*r)*(r - r - 2*r) - r**2 + 0 + 0 + (2*r**2 - 5*r**2 + r**2)*(2 - 1 + 1).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23167917?\nAnswer: 3, 593, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*d + 739 = 4*d, 0 = -5*c + d + 759. Let f be ((-5)\/(-35))\/(2\/(-2110)). Let y = f + c. Which is bigger: -0.05 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -67*m**4\/2 - 2*m**3\/3 - 3*m**2\/2 - 2*m - 2. What are the prime factors of v(-1)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.504.\nAnswer: -1.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2303524 (base 6) to base 12\nAnswer: -57ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1601131 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -5118.\nAnswer: -5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73.5 and -0.59.\nAnswer: -43.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -1\/240*p**6 + 0*p**3 + 0*p + 0 - p**2 + 1\/96*p**4 + 1\/240*p**5. Factor a(j).\nAnswer: -j*(j - 1)*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -110\/1720177 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118695464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -105615451\/2 equal to -52807727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1454 is divided by 484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 8*d - 4*d = -12, -3*c + 5*d + 19 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i = 207*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**18)\/u)\/(u*u*(u**(-10)*u)\/u))**(-2\/83) assuming u is positive.\nAnswer: u**(-54\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -59. Let f be 2\/(-15) + 16464\/630. Suppose 84 = f*l - d*l. What is the highest common divisor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 15*g + 6. Let o(b) = -2*b**2 + 7*b - 3. Let l(s) = 3*m(s) + 7*o(s). Let q be l(-6). Suppose 3*w = q + 6. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2) + (4 - (-19)\/(323\/(-51)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1263915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 7*x - 7. What is the lowest common multiple of 2 and n(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-312)\/195)\/(1 - (-39894)\/(-39890)). Is (-12)\/8*g\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1312\/9 - 146. Which is the fourth smallest value? (a) 4 (b) 5 (c) 0.3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12521, -26, 5\/2 in ascending order.\nAnswer: -26, 1\/12521, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -23*n - 192 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -2.05. What is the third smallest value in -0.1, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/1820)\/((-6)\/(90\/(-3))).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940916391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 9 = 18*g + 2*h, 12 = 4*g - 4*h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/4 + v**4\/8 - v**3 + 11*v**2. Is z(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 4. Let x be o(-15). Let p = -51 - x. Calculate the highest common factor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400482602 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, -9, 4, -5 in descending order.\nAnswer: 127, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 950036303 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -22. Suppose -3*y - 1 = -6*y - i, y + 3*i = -z. Calculate the lowest common multiple of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose -w*j - 30 = -118. Suppose 3*o = h - 17, j = 2*h - 0*o - 3*o. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 16.4?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o)*(0 - 1 + 3 + (2 + 1 - 2)*(-2 + 3 - 3) + (1 + 1 - 1)*(3 - 2 + 1)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431273?\nAnswer: 17, 23, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203252 is divided by 238.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*k + 3 + 624*k - 314*k - 3 - 1.\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 373460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -80577 times 12662\nAnswer: -1020265974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429427, 2859423, 4289417, 5719409?\nAnswer: 7149399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -u - 0*u. Let s(w) = -8*w - 13. Let k be s(u). Let c = k - 43. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*o - 3264 = 1137*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**6*m - 89*h**6 + 254*h**2*m + 50*h**2 wrt h.\nAnswer: 240*h**3*m - 10680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -247, -839, -1991, -3889, -6719, -10667?\nAnswer: -15919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 21*i**2 + 33*i + 15.\nAnswer: 3*(i + 1)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = n - 8. Let c = -49 + 101. What is the highest common factor of c and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/3, 168, 1.42?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + 4 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 10*n = -4*h + 26, 6 = 4*h + 2*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*j + 1. Suppose -j*r = 2*r - 32. Calculate the lowest common multiple of 3 + -1 + -2 + 1 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 + -222. Let n = l - -147. Let k = n - 46. Which is the fourth biggest value? (a) 5 (b) 1\/3 (c) k (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -292, -2084, -6948, -16420, -32036, -55332, -87844?\n\"Answer: -256*p**3 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5\/4 - 12445*o**4\/4 + 177813*o**3\/4 - 210051*o**2\/4 - 809109*o - 502281 = 0.\nAnswer: -3, -2\/3, 9, 4134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)\/(y\/y**6) assuming y is positive.\nAnswer: y**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**4 + 2499*b**3 + 233190*b**2 - 2671893*b + 5849010 = 0. What is b?\nAnswer: -261, -166, 3, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 536 + 13?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -79. Suppose 4 = -5*k + 4*j + 13, -k + 1 = -j. What is the highest common divisor of k and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 75. Let u = 5 - a. Let i = u - 41.5. Put -2, 0.2, i, 1\/3 in ascending order.\nAnswer: -2, i, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + 3*t)*(-11*t**2 + 11*t**2 + 14*t**4).\nAnswer: 42*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89321051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12253*x - 24576*x + 12334*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 47 - 25 = 0. Let r(y) = 5*y + j*y**2 + 5*y**2 + 5*y**2. What is the tens digit of r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 minus -0.6946?\nAnswer: -129.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 7*o**2 - 3*o**2 + 12*o**2 + 51.\nAnswer: -3*o**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 1015195 + 189305. What is t rounded to the nearest 10000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(170))\/(-4*(sqrt(10) + sqrt(360))).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 359280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000887 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 3*w, w - 14 = -5*f - 0*w. Suppose -2*m + 6 = -0*m. Let x(u) = m*u - f*u - u**2. Let d(n) = -4*n**2. Calculate x(d(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 36*u**2 + 2554*u - 109. Calculate the smallest common multiple of y(-71) and 1683.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 31*a = 12, 0 = 3*i + 4*a - 488395. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1655 - 78*a + 1655 as h + i*a and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:43 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191.7 + 192. What is the third biggest value in i, 2\/95, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -6, -13?\n\"Answer: -7*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, 46, -13, 0 in ascending order.\nAnswer: -417, -13, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 100?\nAnswer: 100.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552.283 millennia in centuries?\nAnswer: 25522.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {h: 1, w: 2, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72550 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 - 13. Suppose 0 = k*g - g. Solve -2*x + 5*m - 21 - 2 = g, 5*x + 32 = 4*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31719231.\nAnswer: 3, 23, 31, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211101121 (base 3) in base 4?\nAnswer: 20302213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Does 6 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + f**2 - f. Let l be z(1). Find the second derivative of -4*m**l + 4*m**5 - 2*m + m**5 wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose 0 = -n - z*n. Suppose -3*m + 1 = -2*m. Is n <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-2)\/10)\/(8\/32)*-2095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 0.22, 197.634?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47875876 divided by -75514?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 285*b**2 + 290. Let l(r) = 103*r + 1. Determine i(l(c)).\nAnswer: 3023565*c**2 + 58710*c + 575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 - 196. What is the nearest to q in 1\/3, 4\/11, 2\/7?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92456 - -154405. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(4 + (-10 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -30. Solve -y + 4 = -z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -85*u - 6. Let d(i) = 2201*i + 155. Let n(m) = -6*d(m) - 155*j(m). Let t(c) = -37*c. Give t(n(q)).\nAnswer: 1147*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6 - -2) - (-6 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 73\/(-1 + 68\/12). Let h = c - 337\/14. Find the common denominator of ((-2)\/(10\/(-39)))\/1 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 9*c**2 - 3*c + 3. Let q be h(5). Suppose -11 = -r + q. Let z be (16\/(-40))\/(1\/(-30)). What is the highest common divisor of r and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 + 381*f**3 - 2026*f**3 - 146.\nAnswer: -1645*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3 and 13\/2544.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 16*v**2 + 11*v - 3. Is s(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 1472?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {x: 2, m: 9, z: 6, c: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -15. Which is the closest to -1? (a) 2 (b) s (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351221231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -273*j + 8732. Let g be z(32). What is the fourth biggest value in -4\/13, g, -5\/11, -0.4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 21*q = -19*q - 12, 3*q = 4*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 11 - 3 = 0, m + 11 = 3*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 67718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -5 (c) -0.3 (d) 18 (e) -2\/3 (f) 15\/4 (g) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931) + -5.\nAnswer: -5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310*p**6*t**3 - p**2*t**3 - 2*p**2 + 162*p*t**3 wrt p.\nAnswer: 37200*p**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 4*b**2 - 13*b**3 + 5*b**3 + 5*b**2 in the form r*b**2 + g*b + i + z*b**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:42 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-2)\/(-20)*5*0. Let w be (-8 + 1228\/152)\/(s\/4). Which is bigger: -0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/2)*q*q\/q**(-2\/27) assuming q is positive.\nAnswer: q**(193\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 8*o**2 + 8*o + 25. Let r be i(-10). Let q = r - -141. What is the tens digit of (-3 - -4) + (1 - q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*t = 73*t - 568*t - 34667 - 50509 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and -2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.363 minus -0.1?\nAnswer: 0.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54*136\/(-36720)*5\/3)\/((-2)\/366)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -10*r + 2*q + 14, -23 = -3*r + 4*q - 25 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -11. Let c(m) = m**2 + 3. Calculate the remainder when 37 is divided by c(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3109 - 2198. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5142473066.\nAnswer: 2, 2297, 1119389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-17)*y)*(y**(-5)*y*y*y)\/y assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.976 - 0.024. Let t = -1275 - -1300. Let y = x + t. What is the smallest value in 5, -0.9, y?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/8 in 1769, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2002201321 (base 4) to base 12\nAnswer: 2194a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -26, -29, -30?\n\"Answer: m**2 - 8*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508.1 - -509. Is -0.04 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3036 - -5292. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -22.3. Let d = 2.7 + j. Let f = d + 2. Is 5 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v - 17 = -125*v - 5*o, 5*o + 71 = 3*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2))\/k*k**(1\/5)*(((k*k**(2\/3))\/k)\/k)\/k*k*k*k*k\/(k\/(k\/(k\/k**(-3\/2))))*k assuming k is positive.\nAnswer: k**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 14 = -5*v - 3*r, 6 = v - 2*r. Let n be (-840)\/441*-3 - 12\/2. What is the third biggest value in 0.5, v, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from qeer.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o**2 - 90*o + 371. Determine n(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8913 and -5.82302?\nAnswer: 7.71432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*k + k. Let w(g) = -3*g**3 - 5*g**2 + 2*g**3 + 7*g + g**3 + k*g**3 - 5. Let q(y) = 5*y**3 - 4*y**2 + 6*y - 4. What is 5*q(m) - 4*w(m)?\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + o - 19 = 0, -2*o + 25 = 5*u + 3*o. Let g(x) = 6*x**3 - 4*x**2 + 5*x - 12. Let q be g(u). Let v = -448 + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z - 389 - 899 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 99, 408, 1049, 2142?\n\"Answer: 20*z**3 - 14*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 4*m, -m - 3*m - 33 = 3*d. Let c = -12 - d. Let z(i) = i**3 + 6*i**2 + 4*i. Let q be z(c). Solve -5 - 5 = -q*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 10:30 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137308, -137507, -137716, -137941, -138188, -138463?\nAnswer: -138772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7174?\nAnswer: 7174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (9\/(-3) - 1). Suppose -29*z + 24*z - 5 = k. Is z at most -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545586?\nAnswer: 2, 109, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -160929 (base 11) to base 12\nAnswer: -100829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1836576 and 448.\nAnswer: 3673152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -2*d**7\/21 - 2*d**6\/5 - d**5\/5 + d**4 + 4*d**3\/3 + 12*d + 4. Solve s(h) = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/6 + m**2 - m. Let n be p(-5). Sort n, -2, -1 in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**5 + 17*c**4 + 60731*c**2?\nAnswer: 840*c**2 + 408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.7979798 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2613 + 2601 + 0 + 72?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**7\/525 + 49*s**6\/75 - 4703*s**5\/75 - 1617*s**4\/5 - 3267*s**3\/5 + 187*s**2. Solve w(n) = 0.\nAnswer: -1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (8 - (-49 - -76))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2257)\/(-366) + (2 - 8). What is the third biggest value in 0, d, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471936*-0.05.\nAnswer: 23596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/330096 and 103\/132.\nAnswer: 3631056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 5*r - 38, r + 2 = 0. Let t(k) be the third derivative of k**4\/24 + 17*k**3\/6 + 2*k**2. What is the units digit of t(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 4*p - 129*p**2 + 128*p**2. Let v(i) = -2*i + 3. Calculate v(h(c)).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12174.\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*y**5 - 350*y**4 - 95*y**3 + 310*y**2 + 220*y + 40 = 0. Calculate y.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155998200 rounded to the nearest one million?\nAnswer: 156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1 + (3 - 1 + 2)*(-2*b + 0*b + 0*b))*(2 - 1 + 1)*(-7*b**2 + 247 - 247).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 234*i**3 - 3 + 0 + 951*i**3 + 0 to t*i**3 + k*i**2 + h*i + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**39\/(q**(-1\/5)*q\/q**(-3\/5)))\/(((q\/(q**(-4)*q*q))\/(q*q*q**(-2\/11)*q))\/(q\/(q*q**(-1)))**(-26)) assuming q is positive.\nAnswer: q**(-3662\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 3. Let d(g) = -3*g**3 - 5. Let n = 9 + -6. Let m be 0 + -6 - (n + -6). Determine m*d(t) - 5*a(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/4 + (-97744)\/(-64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(26)\/(sqrt(2) + sqrt(8))) + sqrt(156)\/(sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12))) - (sqrt(143)\/(sqrt(44) + -1*sqrt(44) + sqrt(11)))**2.\nAnswer: -13 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7864 by 983.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 34*v + 56 = 0. Calculate the remainder when 366 is divided by 1*(1 + v)*(3 + -26).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + i - 2*i)*(29*i + 16*i - i) + (3 - 3 - 1)*(i**2 - 4*i**2 + 5*i**2) as m + z*i**2 + o*i and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1133302314 (base 5) to base 11\nAnswer: 153a550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3 + 64*w**2 + 208*w + 192 = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-28))*s)**(2\/3)*s**39\/(s\/(s**(-28)\/s)))**(1\/2) assuming s is positive.\nAnswer: s**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1159 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(200))\/sqrt(6).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 35*y**2 - 20. Determine k(3).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9452711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 352019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -31*c**3 + 38*c**2 + 11*c - 11. Let f(a) = 4*a**2 - 6*a - 4*a**2 + 17*a**3 + 6 - 20*a**2. Let o(z) = 11*f(z) + 6*r(z). Determine o(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, 1\/6, -1\/29, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + 1) - 4) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 16*x - 78. Let t be a(-20). Let j = t - -559. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8487780 by 70.\nAnswer: -121254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7034*a + 10 + 2 + 7064*a as h*a + d and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -615591.9437 minus 234?\nAnswer: -615825.9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Let u = -0.9 - 3.1. Put d, -2, u in increasing order.\nAnswer: u, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g + 70. Let q be d(-11). Solve l - q + 2 = -2*c, 0 = 2*l - 2*c + 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10451*n - 52215. What is c(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 460335 * -0.13.\nAnswer: -59843.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*v = m + 8, 2 = -3*m + 2*v. Sort 9, 3, m.\nAnswer: m, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*y + 13538 = 289*y + 324*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -36?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 4*d + 2. Let o be n(5). Let y(r) = r**2 - 5*r - 8. Let t be y(o). Is (-320)\/(-18) + t\/27 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**14*r)\/(r**(17\/5)*r))**(18\/11) assuming r is positive.\nAnswer: r**(954\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/3 + (-10)\/15. Let a be (-18)\/(-63) + 150\/g. Let k = 20 - a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.992304 decades in millennia?\nAnswer: 0.01992304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*q = p + 546*q + 26, 0 = 2*p - 9*q + 79. Let l = 19\/29 - 9007\/13659. Is l at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29801177201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3016217 is divided by 1508108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -1332?\nAnswer: -1332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/38)\/(-4*1\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*g - 12 = 6*g, 0 = -5*g - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - 32. Let a = x - -175. Factor 1\/2*c**3 - 3*c**2 - 9\/4*c + 0 - 1\/4*c**5 + c**a.\nAnswer: -c*(c - 3)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 9:12 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 808985 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-75))\/(((-30)\/450)\/(16\/12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6\/7 (b) -0.5 (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/36 + 130\/4. Suppose 20*f - n - 67 = 0. Solve 5*o - 14 - 3 = -q, 4*o - f*q - 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*j = 19, j + 0*j + 41 = -5*x. Let a = -25 - -19. Let l be 15*a\/(-10)*-1. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46489 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11 + 183*d**2 - 91*d**2 - 93*d**2 - 8*d - 7*d. Calculate the remainder when j(-13) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 26 = -2*l, 2*o = -4*l + 2 - 0. Suppose w + 5 = 0, 2*x + w - 5*w = 40. Let s be (-8)\/o - x\/(-25). Sort s, -4, 1 in ascending order.\nAnswer: -4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 4*r + 2. Let b be y(4). Solve 5*a**b + 0*a**2 + 15*a + 0*a**2 + 2*a**2 + 9 + a**3 = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2591 is divided by 415.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20, h - 5 = -3*u - 1. Let z(i) = i**2 - 6*i + 3. Let w be z(4). What is the third smallest value in w, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18622\/913 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -4)*(3 + -2). Suppose -v + 6*v - 18 = -w, b = -3*w - 6. What is the second derivative of 31*k**4 - 6*k**v - 5*k**4 + 21*k wrt k?\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/36*(-1770)\/354?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -12, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13290 less than 15.359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 - -6a2?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 + (-905)\/42. Let v = 6553\/300 + o. Let k = v + 197\/300. Which is the nearest to k? (a) -3 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101262 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*y + 95 = -3*y, -4*y + 137 = 3*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (4 - 17) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 24 + 23*r - 2*r**2 + 34 - 24*r + 0*r**2. Give v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 37*h**2 + 2 - 1508*h - 32*h**2 + 1507*h. Let r(s) = s**2 - 5*s + 5*s. Calculate -4*r(x) + y(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 0.1 (c) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 12) to base 14\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0 + 1. Suppose y + 23 = 4*g. Let q be (6\/(-9)*g)\/(-1). Solve 3*k - q - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g. Let y(k) = -2*k**3 - k**2 + 34*k - 2. Determine -v(f) - y(f).\nAnswer: 2*f**3 - 35*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, -465, -1461, -2857, -4653, -6849, -9445?\nAnswer: -12441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-1\/3))\/c)**(-32)*(((c**(3\/8)\/c*c)\/c)\/c)\/c*(c**(-6)\/c)\/c*c*(c**(-1\/2))**44\/((c**(-1)\/c)\/(c\/((c\/((c\/(c**1\/c))\/c))\/c))) assuming c is positive.\nAnswer: c**(-1711\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*v + 70 = -580*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001533119566 rounded to six decimal places?\nAnswer: -0.001533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284229 divided by -33.\nAnswer: -8613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 342*h + 1963. What is c(-111)?\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*g**3 - 66\/5*g + 504\/5 - 8*g**2 = 0.\nAnswer: -4, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1650027143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*q + 5964 = 371*q. Let i = -846 + q. Solve -i*g - 7 = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1073\/37)\/(-58))\/(5*3\/108)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 63. Let z be (-99)\/154*8\/(-18). What is the nearest to -1\/3 in -0.4, f, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(45) + sqrt(5) + sqrt(5) + sqrt(30)\/(4*sqrt(6)).\nAnswer: 45*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -35 + 46.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**3*w**3 - 403107865*s**3*w**2 + 4846252*s**3 - 35*s wrt w?\nAnswer: 3*s**3*w**2 - 806215730*s**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + (13 - 0\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.11 - 40.11. What is the closest to 1\/5 in y, -2\/3, 29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95545)\/1164)\/(-197)*24\/(-675)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 115289 divided by -5\nAnswer: -115289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 9*f + 222. What are the prime factors of c(-14)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) -3 (c) -0.5 (d) -61 (e) -2669 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let t(h) = -15*h**2 + h**2 + 756 - 757. Determine t(c(d)).\nAnswer: -14*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2324 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 65*v**2 + 7*v - 16. What is the units digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 13*x**2 - 10*x + 14. Let g = 6 + -18. Let s be k(g). Let i be 3\/(-18) + 5\/s. Sort i, 0, 4.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 + -211. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 74*p - 14. Let w(q) = -25*q + 5. Give 5*o(m) + 14*w(m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 1343\/125?\nAnswer: 1343\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*d - 103*d + 17*d)*(-d + 0*d + 3*d) + 0*d**2 - 2*d**2 + d**2 in the form l*d + u + i*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2030 + -2027. Which is the nearest to -1\/3? (a) -3 (b) h (c) 326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 s, and 1 n when four letters picked without replacement from {q: 1, z: 2, a: 1, s: 1, n: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -19*l + 1505. Let m(v) = -2*v - 33. Give d(q) - 9*m(q).\nAnswer: -q + 1802","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 680 = 792 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -53, -17, 57, 181, 367, 627, 973?\nAnswer: 1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63248335 - 63251384.3127. Let h = d + 3049. Let z = h + 0.31. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66009 and 100598.573.\nAnswer: 166607.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112 in -5, 40.7, 0.85?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 1\/6 (c) 0 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 5:03 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36512 * -0.06254.\nAnswer: 2283.46048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 89*r**2 - r + 1. Suppose -4 = -3*w + 2. Let f be g(w). Suppose 5*z = 5*p + f, -p = -z - z + 139. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(3*l + 4 - 4) + 2*l - 2 + 2.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (1 + -2)) + (-69 - -119) + -50.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t**2 - 4*t - 1. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 287568382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -2*h**3\/3 + h**2 - h. Let x be i(-5). Calculate the highest common divisor of x and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30900825 by 5.\nAnswer: 6180165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 68 = 6*y. Let o = -16 + y. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53265 (base 7) to base 3.\nAnswer: 200002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -13 - (17 - 2 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - 6\/9. Find the third derivative of 2*h**5 + j*h**5 - 2*h**2 + 0*h**5 + 0*h**2 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*m + 54 = 44, 0 = -3*m. What is the lowest common multiple of p and 53?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 2, n: 1, a: 12, m: 1}. Give prob of picking 4 a.\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1001174.499993 - 1001175. Let v = -0.5 - j. Round v to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315870, -631734, -947598?\nAnswer: -1263462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2652\/(-39) + (-6)\/(-15) + -7 + (-3)\/(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 17*h - 5. Let l be p(-8). Let j be 2 - (l - 7)\/4*25. Suppose 3*i - 96 - j = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142296 by -294.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i - 66*i + 5*a = 29030, -5*i + 5*a + 28980 = 0. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.94 - 19. Let m = d - 0.14. Which is smaller: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17.9. Let n = p + 4.9. Let t = n - 4. What is the smallest value in -5, 2\/5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -53, -111, -195, -311, -465, -663?\n\"Answer: -s**3 - 4*s**2 - 19*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 753127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 8*i**2 + i - 5. Let a be x(8). Suppose -107 + 117 = 5*m. Suppose -2*y = -8*q + 3*q + 4, m = -3*q - y. Solve q*b = -a*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5135273 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*i - 70*i - 643251 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20011001 + -10?\nAnswer: -20011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 22 - 18. Let o(a) = 3*a. What is o(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.06996 + 0.06996. What is the smallest value in -2\/3, 0.2, d, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.497 * 103.7.\nAnswer: -51.5389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + s + 1 = 4*q, 0 = 5*q + 2*s + 2. Let h be 0\/(((-9)\/(-3))\/3). Suppose -3*k - 3*d + h*d + 54 = q, 4*d = -5*k + 91. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, -3, -0.01, -2\/13 in decreasing order.\nAnswer: 4, -0.01, -2\/13, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxgx. Give prob of sequence gx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-177)\/(-4) - 23058\/549\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*m + 295, i = -4*m - 35 + 271. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 10. Let f be c(7). Let j be 1 + 4 + f\/(-2). Let b(y) = y**2 - 6*y + 4. Let w be b(5). What is the third biggest value in w, j, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -19\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-36))\/((-32)\/(-2176)*-17).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**3 + 0*j + 21 + 39\/2*j**2 + 41\/4*j**4. Find the second derivative of l(t) wrt t.\nAnswer: 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 + 2*i**2 - 37*i**2)*(2*i**3 + i**3 - 9*i**3).\nAnswer: 168*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32740 and 40925?\nAnswer: 163700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -49. Let v be f + 1 + -1 + (3 - 8). Which is the closest to 2\/5? (a) 4 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*d + 193 - 328*d + 659*d + 431 as n*d + u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v + 43*v - 75*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/14)\/g)**(-22\/9) assuming g is positive.\nAnswer: g**(121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - u = -149157, -5*w = -53*u + 44*u - 149137. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 166?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129, 143, 159, 177, 197, 219?\n\"Answer: l**2 + 11*l + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4462673.\nAnswer: 4462673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332816409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12)*((-2460)\/(-80))\/41\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l - z, 0 = 6*l + z - 2 - 8. Find the second derivative of -12*v**l - 79*v - 65*v + v**2 wrt v.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, z: 3, u: 1, c: 1, a: 2, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.59 rounded to 0 decimal places?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/2 of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5088008*c**3 - 243919*c - 3 wrt c.\nAnswer: 30528048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, s: 3}. What is prob of picking 3 s and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -42.102. Let w = s - 0.09. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 3*(-1 - 1). Suppose -5*o - 4 = -4*a, -o + 0*a - i = -5*a. Solve 3*r + 4 = 4*v - r, -r - 4 = o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from meiimieeimmiezm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.9 - 16. What is the smallest value in 1\/2, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.01\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*6*4\/(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 28 = 0. Let k = -8 + b. Suppose n = -5*x + 4, 5*x + 6 = 3*n - k. Solve -7 = n*i - 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*h**2 - 5*h + 5*h + (2*h - 2*h**2 - 2*h)*(4 - 1 - 4).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163191530 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.22 + -0.3?\nAnswer: 95.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by -6498?\nAnswer: -65\/2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + -1.3. What is the second smallest value in p, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73870616 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 2*i**2 - 2*i + 3. Calculate the smallest common multiple of 4 and z(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.685022 micrograms?\nAnswer: 0.000007685022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*v + 214 + 499, -c = -v + 141. Suppose 4*l + 179 = -v. Let y = -40 - l. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -8170215.7.\nAnswer: -8170215.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, f: 1, r: 4, i: 5}. What is prob of sequence mi?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/6 of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 + 70. Calculate f(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -13, -6, 13, 50?\n\"Answer: f**3 - 3*f**2 + 3*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -20. Suppose 0 = -2*x + d*y - 2, 2*x + y - 1 = 3. Which is smaller: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23607 divided by 43?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.370035 tonnes to kilograms.\nAnswer: 9370.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14580.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 3 + 5) - (3 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 44*o**2 + 38*o + 84.\nAnswer: 2*(o - 21)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -7, -239 in decreasing order.\nAnswer: 10, 3, -7, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*h - 1. Let i = h - -7. Suppose 2*a - 3*p - 70 = p, 0 = -i*a + 5*p + 106. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 3*i**3 - 2*i**3 + (i**3 - 3*i + 3*i)*(-46 + 24 + 25) to the form m + s*i**3 + a*i + n*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 227484571.9 rounded to the nearest ten thousand?\nAnswer: 227480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/3 + 4126*g**4\/3 - 4292776*g**3\/3 + 75595504*g**2\/3 + 354027440*g\/3 + 371264608\/3 = 0. What is g?\nAnswer: -2, 22, 2054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041448 and 627.\nAnswer: -25.987896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from qhhhhhhqwhqhqqhqhhhq?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {x: 1, b: 1, m: 2, r: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3274566*z - 3274568*z = 42, 4*b - 2*z = -128 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqquuqqquqqqquuu.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8389 divide 888273868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-132))\/(-16*74\/7992).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 122*s**3 + 2*s - 1. Let v be a(1). Let w = v + -83. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(3) + (sqrt(132)*1)\/sqrt(12) + sqrt(11))*-4 - (sqrt(66)\/sqrt(6) + -2 - sqrt(66)\/sqrt(6)*-1)**2.\nAnswer: -48 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 7*v**3\/3 - 2*v**2 - 6*v - 2. Is 5 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14727593.\nAnswer: 17, 866329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 8, -0.3, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 1. Which is the second biggest value? (a) 1 (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4059 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101977076*y**4 + 30201792*y.\nAnswer: 1223724912*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let w(l) = 14*l**2 - 4*l. Give w(b) + 8*z(b).\nAnswer: 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 6, e: 4, v: 5}. What is prob of picking 2 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1977, -3956, -5935?\n\"Answer: -1979*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359690735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-28)\/35)\/(-4)*5 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(39\/((-273)\/(-28)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -71*q**2 + 3*q - 2. What is b(1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.5, 0.2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13596 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 greatest common divisor of 72658 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/4180 and -17\/32180.\nAnswer: 6725620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-9) + 0 + -26 + 28. Which is the biggest value? (a) -1 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -945.00384 to 0 decimal places.\nAnswer: -945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 302 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjxppxxxxp. Give prob of sequence pp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/30 - f**2. Let v(o) = o. Suppose -24*z = -45 + 21. Let d(w) = 10*w. Let l(i) = z*d(i) + 15*v(i). Determine l(c(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 12 in increasing order.\nAnswer: -4, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/7 - 3496245*p\/7 = 0?\nAnswer: 0, 3496245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54409607.\nAnswer: 7, 107, 72643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8554?\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.778 micrograms in milligrams?\nAnswer: 0.432778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 - 10. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (12 - 9) + 101659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9814*b - 107923. Give m(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -186, -185, -184, -183?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*w + 4, 2*w + w + 18 = 2*p. Solve 3*q - q + x = -4, -q - x = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2523342457, 2523342456, 2523342455, 2523342454, 2523342453?\n\"Answer: -z + 2523342458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**5\/11 + 18*s**4\/11 - 90*s**3\/11 - 114*s**2\/11 + 180*s\/11 = 0.\nAnswer: -5, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1205*u - 1670*u + 1462*u to v + p*u and give p.\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a - 1. Let p be 4\/5 - (-76)\/(-20). Suppose -4*k = -8*k - 4. Let n(i) = -i**3 + 3*i**2 + 4*i + 3. Give k*n(t) + p*r(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47067 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 902, 1084, 1266, 1448?\n\"Answer: 182*u + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 4.5 (c) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350723*b**2 + 5604192*b + 5812992 = 0. What is b?\nAnswer: -1392\/671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 63\/5?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2942563?\nAnswer: 588512.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(484) - (sqrt(484) + sqrt(484)*-2)) + sqrt(484) + sqrt(484))\/(sqrt(11) + sqrt(11) + (sqrt(11) - 2*sqrt(11)*-1) + sqrt(11))*-4.\nAnswer: -32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:14 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*k = k + 6, 3*u + 5*k - 6 = 0. Let y = u + 0. Solve 0 = 3*c + y + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38026610 and 45?\nAnswer: 342239490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -12564846?\nAnswer: 12564852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*m + 8 = 0, 5*m = 5*w + 4*m + 4. Suppose w = 4*c - 8. What is the greatest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 699.9 + -661118883.\nAnswer: -661118183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72562248 a multiple of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13 + 1)*5\/(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/((-6)\/8). Suppose -4*l + 0 = -4*d - 16, 2*l - 4 = -2*d. Let b = c + l. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176.23 + 19.68. Let q = 196 - w. Is 0.3 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1976 and -48\/1729?\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/5 + 22*r**2\/5 + 336*r = 0?\nAnswer: -24, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 403 divided by 5\nAnswer: 403\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - r - r - 26, 0 = -5*r - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -1\/7*r**7 - 1\/2*r**6 + 47\/3*r**3 + 0*r + 0*r**2 + 0*r**4 + 0*r**5 - 49. What is the third derivative of s(p) wrt p?\nAnswer: -120*p**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.55\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 c, and 1 f when four letters picked without replacement from {c: 3, v: 1, f: 13}.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 37. Let c(n) = -3*n + f*n + n + 0*n. Let u(g) = -8*g - 5. Let o(i) = 9*i + 6. Let w(d) = -5*o(d) - 6*u(d). Determine c(w(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-6)\/24). Let k = w - 8. Let r(v) = -v**2 - 10*v - 3. Does 16 divide r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/640146 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 129*o**2 + 29\/40*o**6 + 0*o + 0*o**4 + 0 + 9\/4*o**5 + 0*o**3. What is the third derivative of n(q) wrt q?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)\/(2\/(-14)). Let c(y) = y**2 - 9*y + 7. Let v(b) = b**2 - 9*b + 7. Let d(z) = -4*c(z) + 3*v(z). Is 2 a factor of d(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i + 2. Let p be s(-2). Suppose -5*z + 27 = p. Does 13 divide (z - 2)\/(6\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58520*l*z - 2*l - 113700*z wrt l?\nAnswer: -58520*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let p(n) = 1030*n. Calculate a(p(y)).\nAnswer: -1030*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 5293.\nAnswer: 1587.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667336807.\nAnswer: 71, 23483617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27439 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-1))\/(((-48)\/(-8))\/24*3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - (54 + -27 + 3)) + 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90062202583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -4*f**3\/3 + f**2\/2 + 5194*f - 2. Calculate p(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -94. Is ((-152)\/14)\/(l\/(-112)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 21*c**2 + 20*c + 41. Let s be f(-22). Let v be (s\/(-15))\/((-2)\/(-42)). Let x = v - -166. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1617*l = -1799*l - 1348*l + 899*l - 289875 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890*g = -1522*g - 1470*g - 1428 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -32, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n + 45*n - 3*g = 4932, 4 = -g. Is n a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18939432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 228622?\nAnswer: 9\/114311","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -55. Let x = 3 + -1. Which is the nearest to x? (a) p (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-97)\/8827)\/((30\/(-40))\/(189\/6))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2120316, 4240568, 6360820?\nAnswer: 8481072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 36563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/20 - (101\/5 - 17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -42.4 (c) 2\/5 (d) -1\/5 (e) -0.1 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113882.\nAnswer: 2, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1245, -0.2, 2, -0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -93, -91, -89?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1660 and 69\/830.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 3*w + 28*w - 3*w.\nAnswer: 41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o. Let a(u) = u**3 + 5*u**2 + 5*u. Let t be -3 + 6 + 1 + 1. Give t*h(y) - a(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663956959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38385.1 litres in millilitres?\nAnswer: 38385100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445*j**3 - 483*j**3 - 483*j**3 - 478*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 6:39 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-5 + -4 + sqrt(1620) - sqrt(1620)) + 0 + (sqrt(1620) - (-2 + sqrt(1620)) - sqrt(1620)))*-5*4)**2.\nAnswer: 144000*sqrt(5) + 688000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-9))\/((-21)\/21).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a + 10*a**3 + 15*a)*(-2045 + 2045 - 2*a**2 - 9*a) - a**5 + a**3 - a**3.\nAnswer: -21*a**5 - 90*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8181, 16362, 24543, 32724, 40905, 49086?\n\"Answer: 8181*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 53*o + 30. Let w be i(-26). Let y = -185 - -320. Let g = y - w. What are the prime factors of g?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 71 - 8 = 0. Suppose z = h + 5*k - 8, -5*h + 5*k - 5 = 0. Solve 0 = -3*n + h*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 71. Let d be u(13). Suppose -x - 2 = -0*x, v = x + 6. What is the nearest to 1 in v, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*b**2*s**3 + b**2*s - 117*b*s**3 + 2*b*s - 2*s wrt b.\nAnswer: 172*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.24723323821 and -4?\nAnswer: 4.24723323821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 353255460 to the power of 1\/2, to the nearest integer?\nAnswer: 18795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 29, 28, 11, -28, -95?\n\"Answer: -l**3 + l**2 + 13*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008200723 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 2339 + 847. Suppose o + 95 = 34. Let b = o + x. Round b to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*q - 8424. Let n = q + -97894. What is n rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 + 0)*(-18*m**3 + 4*m**2 + 14*m**2 + 16*m**3)*(-6*m - 4*m + 0*m) to w*m**3 + v*m**2 + s + h*m**4 + k*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 96*c**2 + 45*c**2 - 2 + 48*c**2 - 21.\nAnswer: -3*c**2 + c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2*r + 15*r + 7*r in the form a + t*r and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + 1 - sqrt(171)) - sqrt(171) - sqrt(171))**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*g**2 - 20*g**2 + 2*g**2 in the form f + x*g + s*g**2 and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 479 + 5*q**2 - 1440 - 86*q + 478 + 481 to j*q + l*q**2 + z and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88886182 to the power of 1\/6, 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 5:34 PM and 10:26 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -658 divided by 22625.\nAnswer: -658\/22625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose -2*u = -4*c + 6, -c + u + 3 - 2 = w. Suppose c*o - 5*o - d = -368, d + 1 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -29. Suppose -3*i + 4*o = 7 + 21, 4*i = -5*o + 4. Put i, p, -1 in descending order.\nAnswer: p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94083081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 i when four letters picked without replacement from iiimiiiiiiiiiiiiii.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 28*b - 24*b - 9*b - 52*b + 6*b + 203*b.\nAnswer: 85*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkakakjjakakaktk. Give prob of picking 1 a and 1 k.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 892 and -86.6851.\nAnswer: -77323.1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 17*c**2 + 19*c - 8. Let i be j(-7). Suppose i*w = w + 10. Solve 6 = u + w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50880 and 1199040.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:51 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.39 + -0.01. What is the second smallest value in -4\/5, -100, g?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(-15038)\/(-365)*-10.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**27*l)**(10\/3)*(l\/(l**16\/l))**(-25\/6) assuming l is positive.\nAnswer: l**(455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/306 and -71\/24.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1.558?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 13*f**5 - 16*f**5 + (5*f + 4*f - 2*f)*(-3*f**3 + 2*f**4 + 3*f**3).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 36*z**2 - 9. Let c(j) = -6*j. What is c(g(v))?\nAnswer: -216*v**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h + 15 = 0. Suppose 25 + 11 = h*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {v: 1, o: 1, j: 2, u: 2, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -4\/3*u**2 + 2\/9*u**3 - 8\/3*u - 24 + 1\/6*u**4. Let q(r) = 0. What is r?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -11643403?\nAnswer: -11643410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 17\/138436?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6063.559 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 268 = -3*y + 10*y, -12 = 5*y - 2*y for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211 + 10*d**3 - 1211.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*h - 17 = -19, -3*v - 2*h - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 741549301*l**3 - 63*l - 1687911 wrt l.\nAnswer: 4449295806*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -7, 11, 43, 89, 149, 223?\n\"Answer: 7*r**2 - 17*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - v**3 - 4*v**3)*(97*v - 49*v - 48*v - 436*v**2).\nAnswer: 872*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * 0.17.\nAnswer: 14.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25841 is divided by 1433.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -47 + -3 + 0 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193155.\nAnswer: 3, 5, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((37 - 43) + 2 + -5 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -6815, -17359, -32099, -51029?\nAnswer: -74143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 40*h + 2. Let n be f(-10). Which is the nearest to -3? (a) n (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -45 - (-4 - -21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050) - 6*(sqrt(1050)*1 + sqrt(1050)))\/(2*sqrt(384) + sqrt(54)*-1).\nAnswer: -55*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let m(o) be the second derivative of 0 + 0*o**2 + 0*o**3 - 4*o + 1\/6*o**4. Give m(w(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6438 is divided by 1014?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 122\/3. Let r be 50\/18 + (-12)\/(-54). Let t be 17\/5 - (r - 0). What is the closest to 0.2 in -0.3, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1910 + -1912. What is the smallest value in 0.4, n, -482?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.58 - 4.58. Let c = -74 - -73.7. What is the nearest to c in z, 0.4, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*u**4 - 8*u**2 - u wrt u?\nAnswer: -3336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 89\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**2 + 75*b + 1430 = 0.\nAnswer: -11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92507 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 - -200. Let j(f) = 72*f - 1105000. Let b be j(p). What is b rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/35 + 6\/(-4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*(-3 - -9). Let c(z) = -22 - z**3 - 2*z + 18*z**g + z + 44. What is the units digit of c(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = y - 9, -10*s - 6 = -8*s + 4*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*q - 190*q - 29100 = -167*q for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/9*(-834)\/(-47816).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 4 + (-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(385\/(-30))*7\/(-11)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004*0.5.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(16\/9822) - 1 - (-198)\/(-264). Which is bigger: 1224 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 5 + 2*b + b + b**2. Is n(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2799*b - 67092. Calculate z(24).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 - 5*t - 2. Suppose -18 = 2*l + l. Let g be b(l). What is the remainder when (-846)\/g - 3\/4 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Determine t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - 2.18. Let z = h + 2. What is z rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 58955?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84470059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 4256.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 9*x**2 - 8*x - 12. Let w be s(10). Let a be 14\/w + (-4)\/(-16). Let k(p) = -14*p**2 - 13*p**a + 25*p**2. Let h(i) = 5*i**2. Calculate k(h(r)).\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*x - 344, x - b - 509 = -2*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735204.\nAnswer: 2, 3, 11, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqvq?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32 - 1 = -o, -o - 21 = -3*r. Let u be o\/(-16)*(-16)\/(-24). Which is the second biggest value? (a) 4 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 81*m + 2. Let g be a(2). Suppose -8*c + 84 = -g. Suppose -4*r = -27 - 41. What is the remainder when c is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 - 11011?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178717807.\nAnswer: 29, 37, 193, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/891 and 89\/990.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.791\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/1*(-8)\/(-6). Let a be (8\/b)\/(-1)*3. Let p = 8 + a. Let k(d) = d - 11. Give k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 10*i - 1. Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532495 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72628.\nAnswer: 2, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 40*z + 35.\nAnswer: 5*(z - 7)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 38*y + 398. Give q(-9).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127900645 and 51825?\nAnswer: 3455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5006842690 rounded to the nearest one hundred thousand?\nAnswer: -5006800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 46 + 5 = -21. Solve -o = 2*k + 1, k - 4*o + 4 = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4308\/7 or -614?\nAnswer: -4308\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 2*q + 1. Let h = -8 + 5. Let w be i(h). Does -1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2\/((-8)\/4). Let i be v - (-27)\/(-7 + 4). Is i at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 7.3. Let w = -1.71 - u. What is the nearest to w in 3, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1542, 3117, 4730, 6381, 8070, 9797?\nAnswer: 11562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 15*j**2 + 9*j - 1\/6*j**3 + 0. Is 5 a factor of z(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-4*(-10)\/40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3570*u + 297 - 297.\nAnswer: 3570*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:45 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 17\/(-7) - 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -0.01, -0.03, 4567, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 2538 + 16119 = 0. What are the prime factors of z?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -525 + 32444. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 43.5. Let k = -4.5 - i. Let x = -2.7 + 0.7. What is the nearest to k in x, 2, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.7. Let a = t + 0.1. Let k = -0.5 + 0.6. Put a, k, 1 in decreasing order.\nAnswer: 1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 16, -3, -50, -137, -276, -479, -758?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29210919 rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -475735*k**2 + 104629 wrt k.\nAnswer: -951470*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22669824?\nAnswer: 2, 3, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -112. Let l be 1\/6*2*(v - -10). Solve l*b + 5 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -373975 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 2*y + 5*l - 20 = 0, -4*y = y + j*l - 12. Suppose y*w - 23 = -w. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1.6.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 8 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 8:54 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*9\/24)\/(174\/(-1624))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/45 - 29\/(-9). Suppose 15*f - 4*i = 18*f - 653, 2*f - 426 = -5*i. Suppose a*x = 2*y - f - 48, 2*y - 272 = 2*x. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j - 84. Let r be (-24)\/j + 1\/7. Let b(p) = 3*p + 0*p - r + 3*p - p**2 - 4. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4460 - 4495 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*f - 9*f + 87, -2*u + 54 = -8*f. Solve -20*p = -u*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -2. Let x(c) = c**2 + 8*c + 10. Let l be x(u). Solve l*n - 1 = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75950.234 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/16883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 256 = 4*s. Let f = s - -141. Is 50 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/12075*-105*(1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:03 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0*u**3 + 0*u**2 - 1\/6*u**4 + 43*u + 1. Let c(n) = 15*n**2. Calculate c(a(t)).\nAnswer: 60*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44894 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00261008 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12712.14l?\nAnswer: 12712140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - ((9 - 16) + -1 + 18 - 18).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 52*o - 597. Determine b(-33).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g**(-1\/9))\/(g*g\/(g\/g**4)*g**(-7)) assuming g is positive.\nAnswer: g**(59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 + 0 = -4*d, 0 = -a + 4*d - 14. Suppose -a*c - 180 = -0*c + 4*f, 5*c + 426 = 2*f. Is (28\/(-8) + 3)*c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 29. Which is the nearest to 0.5? (a) -5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 140, 209, 278?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**2 - 89 - 26*s**2 + 32 - 25 in the form m*s + n + p*s**2 and give n.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 + g)*(521 - 1502 - 431 - 942) to v + b*g and give b.\nAnswer: -2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -55*g + 10. Let f(a) = a - 3. Let j(u) = 2*f(u) + v(u). Is 4 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5 + 3?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -134. Solve p*h + 6 = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - w + 7. Let x be p(-5). Let j be (3\/(-9))\/((-2)\/x). Is j*-2*(-11 + 1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 - 1\/3*g**3 + 1\/20*g**5 + 1\/3*g**4 - g**2 + 2*g. Is 5 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**3\/5 + 14088*z**2\/5 + 3522546*z\/5 - 10694592\/5 = 0.\nAnswer: -2063, -288, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116656 + 177558 = 7533*i - 315959 for i.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 5:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4*2\/(-4). Let s be (-11)\/(-7) + 6\/14. Sort n, s, 29 in decreasing order.\nAnswer: 29, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -79661414, -79661415, -79661416, -79661417?\n\"Answer: -z - 79661413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/((-414)\/(-20)))\/(1*2\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-1*-3)\/(sqrt(110)\/(sqrt(10) - (sqrt(120) + 1*sqrt(120))\/sqrt(12))).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*i = 2190, -3467 = -2*g - i + 948. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-10))\/((-25)\/(-375)*-102))\/(20\/20)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13245 (base 11) to base 10.\nAnswer: -18925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/8 + 3\/(-6). Suppose -19 = 3*w - 4*t, 2*w - 2*t - 3*t + 22 = 0. List the prime factors of (w\/(-3))\/(o\/(-198)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*o + 45*o + 30*o to f*o + b and give f.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -524 - -783. Suppose -s = -45 - 20. Calculate the remainder when f is divided by s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83512 + -212?\nAnswer: 83300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18422 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**3 + 347*r**2 + 4*r - 43064.\nAnswer: 9*r**2 + 694*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -307573 and -107.3.\nAnswer: 33002582.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19281 - 19160. Solve 0 = -18*g + x - 229 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + u**2 - 1095*u + 3220. Determine y(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*d + 2*d + 315 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/7 and -19\/3029612?\nAnswer: 21207284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 0, -h + w + 7 = -0*h. Let f(j) = -972*j**3 + 3 - 4*j - 7 + h*j**2 + 971*j**3. What is f(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*u - 22421*g**3 + 4*g**2*u + 47*g*u wrt u.\nAnswer: g**3 + 4*g**2 + 47*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40851 is divided by 40844.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 17. Let v be j(4). Solve 4*q - 3*t = 15, 5*q - v = 3*t + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**1\/r))**(-2\/53)*(r\/r**(-1))**20*(r*(r*r**(-2\/7)\/r*r)\/r*r*r)**2\/(r**3*(r\/((r*r**(1\/6))\/r))\/r) assuming r is positive.\nAnswer: r**(1789\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63.5 - -10\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480831 is divided by 480682.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 306688.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:42 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*i + 188143, -2*x - i + 41773 + 33485 = 0. Suppose 15*l - 24904 = x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.83187 - -31.402. What is i rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -27*q**5 + 681*q**4 + 3792*q**3 + 2364*q**2 - 720*q = 0.\nAnswer: -4, -1, 0, 2\/9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 322*-0.9\nAnswer: -289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9748 = -7*n - 9734 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.75 and -0.21.\nAnswer: 0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:06 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 170 and -1951996.1883.\nAnswer: -1951826.1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11201 - 34?\nAnswer: -11235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198*g + 3\/2*g**3 + 123\/2*g**2 + 0.\nAnswer: 3*g*(g - 3)*(g + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57282708*f**6*i**2 - f**2*i**2 + 2271*f**2 - 10*f*i**2 - 14*f*i - 15*f wrt f?\nAnswer: 6873924960*f**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-39 - -32) + (12 - 4) + -10\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 0, 5*f = 2*t + 14 + 9. What is w in 10*w**3 - 8 + 26*w**4 + 24*w**3 - 1145*w**f - 16*w + 1151*w**5 + 6*w**2 = 0?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 116b5?\nAnswer: -116b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, c: 4, t: 6, o: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + (2 - -4) + 0 + 0. Suppose f = 6*p - 6. Solve -p = 4*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let d = 4 + -1.93. Let n = -0.07 + d. Which is the third biggest value? (a) z (b) n (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 50*f**2 + f. Suppose -3*j + 9 + 9 = 0. Suppose 5 = -r + j. What is the tens digit of l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -0.4 (c) -2\/15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2860?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 81*q**3\/5 + 2301*q**2\/5 + 26651*q\/5 + 105966\/5.\nAnswer: (q + 9)*(q + 14)*(q + 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csg when three letters picked without replacement from {q: 2, s: 1, o: 1, k: 2, g: 2, c: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-22)*m**(-25))**(-2\/15) assuming m is positive.\nAnswer: m**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -29 + 0*r + 1\/2*r**2. Let z(a) = 4 - 4 - 12*a. Calculate d(z(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 - -163. Sort -5, h, -113 in ascending order.\nAnswer: -113, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3, -0.3, 0.5, -9651, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 41. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 4*m - 4. Let g = -10 - -9. Let c = -12 - g. Let f(h) = 10*h - 11 + h + 0 - 3*h**2. What is c*p(s) + 4*f(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 2 s when four letters picked without replacement from pbtpmsccsmsstbpm?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*y - 2626*y - 169*y.\nAnswer: -3082*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2485*t - 22*t**2 + 2485*t.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180100 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14870)\/(-9) + (-46)\/207. Suppose 4*q + 4*v = x, 6*q + 835 = 8*q + 5*v. What are the prime factors of q?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*2 - sqrt(44) - (sqrt(704) + -2)**2.\nAnswer: -708 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 891 - 890.5. What is the second biggest value in 0.06, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.6455 milligrams to kilograms.\nAnswer: 0.0000336455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = -m + 1, -i - 5 = -2*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7351495862 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llggggiilg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149971 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: What is 386 minutes after 8:20 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 2*p**4 + 1190*p**3 - 6*p + 2094.\nAnswer: -20*p**3 - 24*p**2 + 7140*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 86, 148, 230, 338, 478?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250871822.\nAnswer: 2, 17, 193, 38231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (-117 - -110) + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5580856 and 25048?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21a1f + 3?\nAnswer: 21a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8217601\/24075 + -1\/24075. Let d = t + -338. Find s, given that -2\/3*s + 0 - 8\/3*s**3 + d*s**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70437 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 + 8*r**3 + 5*r**3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -164*d**4 + 5480*d**3 - 20116*d**2 + 24448*d - 9648 = 0?\nAnswer: 1, 2, 1206\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 1, v: 1, w: 4, n: 2}. What is prob of picking 1 n, 2 w, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 - (9 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -835 - -835.000881. What is f rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60323354 is divided by 5082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.2, -3, -1.2, -21, 13?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/75 - 2\/10. Let j be (y - 3)*(-6)\/15. Sort 5, j, -3 in decreasing order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3. Let q(k) = -3*k**3 + 7*k**2. Let a = -21730 - -21736. Determine a*n(b) + 3*q(b).\nAnswer: -3*b**3 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 16*p**5\/15 + 4*p**4 + 6*p**3 + 4*p**2. Factor a(z).\nAnswer: 4*(4*z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21666836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 311941381*r**2 - 3*r - 17290813.\nAnswer: 623882762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08591 minus -2012185?\nAnswer: 2012185.08591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 h when four letters picked without replacement from {h: 7, d: 8, x: 3}.\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 45*i**3 + 19*i**3 - 2*i**4 + 2*i - 8*i**2 + 28*i**3 to the form a*i**4 + z*i**2 + v*i + x*i**3 + h and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -24224*t**2 + 28*t + 196. Let g be k(-29). What is g rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 30*o**3 + 2 + 20*o + 30*o**3 - 3*o**2 - o**4 to the form r + s*o**3 + b*o**2 + w*o**4 + a*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 43026104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 + 925*d**4 + 725152*d**3 + 108682496*d**2.\nAnswer: -d**2*(d - 1469)*(d + 272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*q + 16, -8*q = -11*q + 4*h + 24. Let k(j) = -21*j + 9*j + q*j + 8*j - j**2 + 1. Let v = 2 + 2. What is k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 35*h**2 - 14*h - 25. Let d be r(17). Is d != 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 25 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2. Let z(v) = -24345*v. Give z(m(s)).\nAnswer: -316485*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*z - 104 + 1570 = -2304 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:28 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.083*4324.699.\nAnswer: -358.950017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*v + 155*v = 40 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arbr when four letters picked without replacement from {b: 1, r: 3, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (73 - (-63 - -141)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 10*g. Let l be k(-12). Suppose l = -3*q + 8*q - 3*p, 4*q - 4*p - 24 = 0. Suppose 55 = -q*i + 256. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95202)\/(-37023)*-1*4\/12.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 46 + 29. Solve f*j + 1 = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, w: 1, a: 3, n: 1}. Give prob of sequence na.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.8 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3276 and 43589?\nAnswer: 1569204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1461614381 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-322202)\/3 + ((-30)\/9 - -4). Round o to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -952 - 4\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1219*i + 13005 = -12594 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 3*l**2 - 3*l - 5. Let j(u) = -10*u**3 - 8*u**2 + 10*u + 15. Let s(x) = 2*j(x) + 7*o(x). Let s(h) = 0. What is h?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4 + 4b211?\nAnswer: 4b019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*u - 0*u + 682, -4*n - 5*u + 539 = 0. Let t = 143 - -97. Let y = t - n. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) -2 (c) -0.01 (d) -1 (e) 882\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*t + 85*t + 1200 = -14*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.42138 to one decimal place.\nAnswer: 378.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y + 1. Let f(q) = q**3 + 5*q**2 - 26*q - 13. Let v be f(-8). Let c be (-4)\/(6\/(-18)*v). Determine h(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*f**3*v**2 + 1382*f**3*v - f**3 + 35*f**2*v**5 wrt v.\nAnswer: -34*f**3 + 700*f**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 + 251. Suppose 0 = 5*w + 1 + 14. Calculate the remainder when s is divided by (-2 + 3)*23 - w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h - 9. Let n(p) be the first derivative of p**5\/30 - p**4\/12 + 4*p**3\/3 - 2. Let s(u) be the third derivative of n(u). Give -6*g(m) + 26*s(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-10) + (-4)\/(-20)*2. Let f = o + -3. Suppose 0 = -5*w - f*n + 58, -4*w + 10 = -n - 28. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 199, 406, 613, 820, 1027?\n\"Answer: 207*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -797*-0.67\nAnswer: 533.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or -733?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141918013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 130 - 186 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 11*o**2 + 8*o - 20. Let j(h) = -3*h**2 - 2*h - 1. Let r be j(-2). What is the tens digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*q**4 - 637*q**2*x**2 + 1774*q*x**2 - 604*q + 2 wrt q.\nAnswer: -4464*q**2 - 1274*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-216)\/(-1872)) - (-1)\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + (-2 + sqrt(117) - sqrt(117)) - (4 + 1*sqrt(117))) + -3)**2 + 3.\nAnswer: 90*sqrt(13) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*5*-4)\/((sqrt(10)\/sqrt(125) - sqrt(2))*-6).\nAnswer: -25*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 = n. Let w(f) = 15*f**2 - 147*f + 379. What is the remainder when w(5) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 266 = 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*c, -3*u + 4*c + c = 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.4517 and 55.\nAnswer: -574.8435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4421176367 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 77*v - 12. Let c(i) = 13*i - 64. Let t be c(5). Let q = -39 - -61. What is the remainder when l(t) is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44353896 to three dps.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 3*x + 8. Let w be 10 - 6 - (-13)\/(13\/2). What is o(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -64. Let i = a - 3. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r**2 + 447*r + 149. Calculate l(41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 366889.\nAnswer: 366888.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 562789603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*((u\/(u\/(u**(4\/5)\/u)))\/u)\/u*u)\/u)\/u)*u*u\/u**(-2))**(-41\/3)\/(u\/u**4*u**(1\/5)*(u**0\/u)**(-46)) assuming u is positive.\nAnswer: u**(-708\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:46 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 182229464 * -0.5.\nAnswer: -91114732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5849, 23397, 52685, 93707, 146457?\nAnswer: 210929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**3*b**3 + 648609*a**3 + 2*a**2*b**3 - 79011*a**2 - 171*a*b**3 wrt a?\nAnswer: 78*b**3 + 3891654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/536 and 37\/116.\nAnswer: 15544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20204*o - 40408. Determine q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + h + 0*h + 3*h - h - 1 + h + 1 + (4*h - 5*h + 0*h)*(-2 - 2 + 3) - h + 3 - 3 - 6*h + h + 19*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 465784?\nAnswer: -465786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1, 4, -39, -3, 2\/715?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - 16*r**2 + 6*r - 3. Let v be l(5). Let i(z) = 1 + 7*z**v + 4*z**3 - 14*z**3 + 5*z**3 + 4*z**3. Calculate i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {q: 3, a: 11, y: 4}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1928564076 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 2*w**3 - w**3 - 32 - 3*w**4 to the form p*w**3 + l*w**2 + z*w**4 + m + q*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315430 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1184*b**3 - 2*b**2 - 36*b + 38. Is 16 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 17. Let p(s) = s**2 - 20*s - 189. Let w be p(-7). Solve w = -2*v - 3*a - 4 - 9, 5*v + 2*a = -i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 + a - 1. Let d be h(1). Suppose 2*f + 40 = d*f. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**17))\/y**(-9))\/(y\/(y\/y**(1\/9)*y)*y\/y**(-6\/13)) assuming y is positive.\nAnswer: y**(2975\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bmznzzv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/3843)\/(1540\/(-1386))*(-10)\/12?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 8, 0.5 in descending order.\nAnswer: 8, 0.5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjnl when four letters picked without replacement from glgngxj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 46 = -40 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 3*j**2 - 3*j + 2. Let q be p(3). Solve 3*u - m = -13, 3 - q = 4*u + 4*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*4)\/2)\/(3717\/14868)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 9, -1\/6.\nAnswer: -0.4, -1\/6, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*m = 2, -5*s + 381 - 371 = 5*m. Which is the closest to -0.1? (a) s (b) 1 (c) 270.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 45. Suppose -6*j = -n*j - 30. Which is the fourth smallest value? (a) -2\/3 (b) 0 (c) -0.2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 137. Let y = -53 - r. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 1, d: 2, c: 1, w: 3}. Give prob of sequence dw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 2*p**2 - 443*p**3 + 49*p**4 - 25*p**4 - 358*p**3 + 2 - 26*p**4 to the form t*p**4 + w*p**3 + c*p**2 + x*p + q and give w.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:50 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**6 - 531*h**2 + 731*h**3 - 13*h**6 - 4*h - 17*h**6 + 2*h - 579*h**2 wrt h.\nAnswer: -480*h**3 + 4386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4*u. Let y(p) = 4*p**2 - 13*p - 1. Let q(w) = -6*w**3 - 2*w**2 + 1. Let l be q(1). Determine l*a(h) + 2*y(h).\nAnswer: h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:54 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -314 - -6554?\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3*u**2 + 2*u - 4. Calculate the remainder when 39 is divided by c(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Suppose 10*g = 5*g + 3*p - 1, 5*p = -3*g - 21. Let c be w(g). Suppose 3*x - x + 6 = 2*m, -m + c*x = 6. Solve 4 = 5*j - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320842268.\nAnswer: 2, 80210567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1700758755433 and -0.5.\nAnswer: -1700758755433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lydlyddbzyyibyy. What is prob of sequence bzb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v**2 + 10*v - 3. Let c be w(-3). Suppose 2*o = -4*k + 8 - 2, 0 = c*o + 15. Solve 15 = -k*t + t, -5*d = 4*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -543001 less than -543001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -0.5 (c) -2.3 (d) 8505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**2 - 83*q + 238 = 0. Calculate q.\nAnswer: 34\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((4\/((-64)\/12))\/(10\/(480\/504))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79000514 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/(p**(-1\/4)*p)*p**(-2\/3)*p*p**(8\/3)*p)**(-33) assuming p is positive.\nAnswer: p**(759\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m. Let t(a) = -2170*a**2 + 837*a - 279. Let x(k) = -31*k**2 + 12*k - 4. Let j(o) = -4*t(o) + 279*x(o). What is j(h(z))?\nAnswer: 1519*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Let f(n) = 4*n. Suppose -4*h - 3 = -7*h. Let s be (-1)\/((-1)\/h) + 1. Let t = 30 + -35. Give s*f(z) + t*p(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10045 = -15*t + 81280. Calculate the remainder when t is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 5*u**2 - 3. Let x(f) = -f - 5. Let q be x(0). Let r be j(q). Let h = -0.64 + 0.44. What is the third smallest value in h, -0.5, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1152\/(-13 - 19) - -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/(-200))\/(2\/360*2). Suppose 0*m - 695 = -3*m + 2*z, -464 = -2*m + z. Let q = m + -143. What is the highest common factor of v and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.72719um to nanometers.\nAnswer: 72727.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-49 + 55 + -26 - 11).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 666.\nAnswer: -1\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 3*q, 4*s - 16 = 2*q + 3*q. What is the least common multiple of s and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r = -16*r + 79 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5907.76 - 5874. What is v rounded to 0 dps?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from kkklkkkklkkkkkklkkkk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 35*z**3 + 31*z**2 - 29*z - 18. Let h(a) = 2*a**3 + a**2 - 4*a - 2. Calculate -8*h(g) + x(g).\nAnswer: 19*g**3 + 23*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 + 2*s - 4. Calculate j(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 8*v**2 - 2*v - 6. Suppose -5*l = 3*y - 156, -l + y = -18 - 10. Let x = l + -12. What is the remainder when x is divided by c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) -2\/43 (b) 5 (c) -0.11 (d) -9\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0625 + 2.\nAnswer: 1.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 662\/11 - 60. Let n = 0.2 - 0.3. Which is the third biggest value? (a) n (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (12 - -1) + (11043 - 11058) + 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + r**3 - 1 + 0 + 3*r**4 - 3*r**3 as x*r + m*r**2 + k + d*r**3 + a*r**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 40*l**2 + 37*l + 265. Give m(39).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -10429188915+0.1\nAnswer: -10429188914.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -499.\nAnswer: 35\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3592, -7177, -10740, -14269, -17752, -21177, -24532?\nAnswer: -27805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) - (-1 - 9). Let u be 1\/(4\/16*2). Suppose j = u*c - 10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120779\/220736 + -1\/3449. What is the common denominator of w and 113\/28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (12 + (-10 - -5) - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 315, 316?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9816.73ml?\nAnswer: 9.81673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2466 and 11371.\nAnswer: 204678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**5\/25 + 17*y**4\/10 - 31*y**3\/5 - 2*y**2\/5 + 124*y\/5 - 174. What is r in x(r) = 0?\nAnswer: -1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - 10*i - 4. Let n be c(-2). Suppose 15*g - 192 = n. Solve 42*k = 46*k - g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5)\/60 - 2\/(-8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*p - 0*p, 0 = 3*t - 2*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 2, 0 = 5*m - d - 26. Let g(n) = n**3 + 2*n + 1. Let z(j) = 4*j**3 - 7*j**2 + 13*j - 3. Let w(u) = -3*g(u) + z(u). Calculate w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.3, -0.9, 0.5 in ascending order.\nAnswer: -11, -0.9, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17613 = -4*h + 17597 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -26. Let p = 30 + d. Calculate the remainder when 21 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12360 is divided by 7161?\nAnswer: 5199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57\/241 + 17961\/482. Put -8, 4, -0.4, q in decreasing order.\nAnswer: q, 4, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5*q + 25, 32*c + 10 = 28*c - 2*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118957799 to the nearest integer?\nAnswer: 10907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:05 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 889, 1355, 2159, 3301?\n\"Answer: 169*f**2 - 41*f + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429711, 859424, 1289137, 1718850?\nAnswer: 2148563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -698741*i. Let j(v) = -2*v**2. Determine j(g(x)).\nAnswer: -976477970162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 257393 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*o + 93 - 89, -t - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26426 divided by 146.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 623, -13, 4, 2 in descending order.\nAnswer: 623, 4, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 924865, 924864, 924863, 924862?\n\"Answer: -b + 924866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62320293 and -3?\nAnswer: 186960879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = 2. Let w(f) = 0 + 1 - f - 6 + v. Suppose 21 = i + 5*l, -4*l + l = -15. What is w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 - 1204*p - 20757 = 0.\nAnswer: -17, 1221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.81+13.4905\nAnswer: 15.3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 8*b**2 + 21*b + 28. Let m(s) = 3*s**3 + 7*s**2 - 18*s - 29. What is 6*c(k) + 7*m(k)?\nAnswer: -3*k**3 + k**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5272*k**3*t*x + k**3*t + 607*k**2*t - t*x**3 + 8*t + 1 wrt x?\nAnswer: 5272*k**3*t - 3*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -27\/7 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -2*sqrt(102))*-3)\/(sqrt(6) + (sqrt(66)*1 - sqrt(66))\/sqrt(11)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 12. Let z be p(-5). Let n = -86 + 1840. Suppose 0*r + n = z*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89762 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2636614 + 401?\nAnswer: -2636213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 650 = 497. Let j(y) = 14*y + 2*y + 0 + 0. Let a(p) = -8*p. Determine h*a(c) + 4*j(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144259788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 82398.07 grams?\nAnswer: 82398070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 73, 72, 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 19*h - 12 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 24 = 3*k, -4*k = 7*m - 3*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-2)\/(-2)*(-14 - -15). Let r(v) = v + 3. What is r(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11799569 and 0.2?\nAnswer: 11799569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8555?\nAnswer: 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let v(u) = u. Let j(f) = 6*c(f) - 5*v(f). Let t(q) = -18 + 18 + 7*q. Determine t(j(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 5022495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2144 - 2144. Solve 0 = 5*o - 3*n + 26, 2*n - 8 = o - r*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17991 rounded to the nearest 100?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (606\/50)\/(-21*(-52)\/910) + -11.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*v + 35*v + 0*v = -13949 + 44651 for v.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 615.3 + -574. Let p = 128.7 + j. Let r = -177.9 + p. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1403453 (base 7) to base 12\nAnswer: 8b878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61, 140, 217, 292, 365, 436?\n\"Answer: -q**2 + 82*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 2*f + 9. Let m be q(3). Let p be 0*(-1)\/(-7) - m. Is -40 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 7. Let b(w) = 20*w**2 - 6*w + 12. Let y = 2069 + -2075. Let g(z) = -21*z**2 + 5*z - 11. Let r(p) = c*b(p) + y*g(p). Differentiate r(l) wrt l.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6906 - -6905.997193. Round p to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 251 + 256 - 765 - 2020*q + 254 - 1669*q as x*q + v and give x.\nAnswer: -3689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3449 + -3448. Put 5, i, 22, -2, -3 in descending order.\nAnswer: 22, 5, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4692355.\nAnswer: 5, 53, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-1178))\/((15\/(-5))\/(-18)*(-3)\/1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 23*a**2 + 102*a + 33. What is m(27)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3198 divided by -170\nAnswer: 1599\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011010011111100 - 0?\nAnswer: -100011010011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (7 - (12 - -1)) + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 + 2140587*w**3 + w - 76240.\nAnswer: 40*w**3 + 12843522*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:48 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.516 + -2.966. Let o = y + 2.013. What is o rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140064.42 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - (3 - 3) - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + -1 + (29 + -60 - -22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/6 - 19*l**2\/6 - 40*l\/3 + 50\/3 = 0. What is l?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - 20. Suppose -o*u - 5*x = -118455, 2*u - 118455 = -3*u + 5*x. Let r = u - -114309. What is r rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445 = 5*m - 4*z, m - z = 2*m - 298. Let w = m - 62. Suppose s - w = -5*a, -s - 229 = -5*a - 0*s. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7731817, 7731826, 7731847, 7731886, 7731949?\n\"Answer: t**3 + 2*t + 7731814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128369 at most as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t + 21. Let g be i(-6). Suppose a + g - 118 = 0. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98 plus -0.18028339?\nAnswer: -1.16028339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Suppose 2*a + 14 = -3*h - h, -a - 5 = k. Sort 5, h, -4 in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*z**2 + 213*z**2 - 211*z**2.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1802 + 1806. Let d(k) = -k**2 + 3*k - 1. Determine d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 367*w - 4035. Is 34 a factor of d(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**2 - 160*f + 7. Determine n(-15).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 376, 1555, 3516, 6247, 9736, 13971, 18940?\n\"Answer: -2*q**3 + 403*q**2 - 16*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -1. Let i = 0.4 - r. Let c = -0.203 + 0.503. What is the closest to 2 in i, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/60 + v**4\/24 + 13*v**3\/6 + v**2. Let q = -115 - -115. Is p(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) 1 (c) -1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2708848 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.06*1.\nAnswer: 6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502 - 1446. Let n = 943.7 + y. Which is smaller: n or -3\/41?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 29 = 3*n, -12507*n + 12509*n - 2*b = 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.34132 decades in centuries?\nAnswer: 3.434132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391755666?\nAnswer: 2, 3, 13, 43484047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 598. Let h(u) = 2*u - 120. What is 11*h(z) - 2*k(z)?\nAnswer: 26*z - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/3, 4, 5142, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9 = -2*z, -2*q - 6 = -5*q - 5*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330011210 (base 4) to base 14.\nAnswer: 6599a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:36 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from gzgzggzagggzag.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*a - 18 + 1 = 0, -2*y + 58 = -48412*a + 48399*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58883 and 81103?\nAnswer: 4298459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + 3 + (-2 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 73 - 11\/(22\/4). Suppose -68*y = -q*y + 9. Suppose -5*m = -y*m. Solve m = h - 4*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011101011101110 (base 2) in base 13?\nAnswer: -75482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1579562 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 20 + 105. Let v(r) = -r**3 + 4*r**2 - 4*r + 3. Let p be v(3). Solve 7*l - 2*l + z = p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4756.6 + 2130.7. What is x rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5269*x + 5272*x - 130623 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/(27\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 56.22981 kilometers?\nAnswer: 5622981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 17 = -i, -5*o = 3*i - 2*o + 9. Suppose i*b - b - 8 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-18))\/((-1)\/(-3)). Let y(a) = 4*a + o - 4*a + 2*a - a. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24032.53 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - 90\/8. Let r be ((-9)\/4)\/((-3)\/(-12)). Let t = r - c. Calculate the least common multiple of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 4*u - 4*u)*(-2 + 2 - u**2) + u**3 - 3*u**3 + 3*u**3 - 3 + 3 - u**3 - 193*u + 63*u**3 - 16*u**3 - 46*u**3.\nAnswer: 2*u**3 - 193*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6139 + -4341. Suppose -9*u - 34 + q = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukx when three letters picked without replacement from {q: 1, s: 1, u: 1, k: 1, x: 1, m: 6}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288 * -915.464.\nAnswer: 263653.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(17) - -2*sqrt(425))*2*2)**2)*3.\nAnswer: 98733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*n - 27 = 0. Suppose n*l = 16*l - 715. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 157049.6 and -0.3.\nAnswer: -47114.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 7. Let r(l) = 6*l + 8. Let k(d) = -5*o(d) + 4*r(d). Differentiate k(n) with respect to n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 46*r = 5*w - 6*w - 374, -21 = 4*w - 5*r + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1615 and 1608445.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 2*a - 2921*a**3 - 2*a + 4*a.\nAnswer: -2921*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-5)\/((-20)\/12). Solve -5 - 10 = b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(360)\/(sqrt(84)\/sqrt(7)))\/(sqrt(1944)\/sqrt(4)).\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9040575695 - -7890\nAnswer: -9040567805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*d + s, 0 = 4*d + 4*s - s + 8. Let r(j) = -3*j - 3. Let g be r(d). What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135568 and 178162?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*a**4 - 1946*a**3\/9 + 1942*a**2\/9 + 1946*a\/9 + 2\/9 = 0. What is a?\nAnswer: -1, -1\/972, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -4. Let v = -5 - -13. Suppose -j = 6*p - r*p - v, p + j - 4 = 0. Solve -p*c - 3 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607554 (base 14) in base 12?\nAnswer: 373865a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1 (c) -2 (d) -11 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 1259?\nAnswer: -1384.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10*5\/(-1). Let g be 1*(3 - -76) + l. Let h = -33 + g. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d**(1\/4))**39)**(1\/23))**(-38) assuming d is positive.\nAnswer: d**(-9633\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:11 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485123732 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = 22*a - 28*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, 178, 1, -1 in ascending order.\nAnswer: -25, -1, 1, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let k be v(2). Let o = 4 - k. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415349019 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2976b1 (base 14) to base 4.\nAnswer: 11200002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079253033 rounded to three decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 32*s - 5*a + 23 = 0, -5*s = -4*a - 86. Calculate the remainder when 969 is divided by (18\/54)\/((5\/s)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 27*l + 38. Let v be d(-21). Let i = v + 89. Which is smaller: -1\/9 or i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 minus 4731843?\nAnswer: -4729670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5926 + -4758. What is the remainder when c is divided by 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -16\/39*f**3 - 35\/78*f**4 - 2*f + 4\/13*f**2 + 147\/130*f**5 + 0. Let t(o) = 0. Calculate o.\nAnswer: -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n - 399 = 84*n + 59*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 9. Let s be q(-7). Let d = s + -7. Let y = d - -102. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-648)\/(-180)*(-5)\/4 - -2. What is the third biggest value in 3\/2, -66, k, 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 221715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -216\/7 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1396)\/(-9074) - 0\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 13) in base 14?\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1079384512137.999995274 + -1079384514631. Let a = r - -2493. Round a to seven dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.4890751 rounded to 1 decimal place?\nAnswer: 652.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose 7 + q = 5*s. Let t = s - -7. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5331, 42390, 142869, 338442, 660783, 1141566?\n\"Answer: 5279*p**3 + 36*p**2 - 2*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f. Suppose t + 3*v - 18 = 1, 3*v = 4*t - 31. Suppose f*p = -5*p + t. Solve 0 = -p*b + 3*h + 14, -b = b + 4*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 8, 31, -4.\nAnswer: -49, -4, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 15. Let f(l) = 1 - q - l + 4 + 0. Let o be f(2). Solve 2*i = -4 - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3, 1 = i + 4*y + 5. Let w = -322351 - -322356. Solve -w*l + i*l + 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6 - 4 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 12*h = -5*z + 10, -3*z - h + 14 = 0. Find the second derivative of 3*b + z*b**2 - 8*b + 2*b**2 - 9*b**2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602\/(-356) + -1*60729\/(-6)?\nAnswer: 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2da (base 14) in base 10?\nAnswer: -33512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129480818 to the power of 1\/2, to the nearest integer?\nAnswer: 11379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 6*v + 24 = g, 0 = -2*v - 5*g + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 5*k + 2*k)*(-1 + 1 - 2)*(2 - 3 - 4) to the form z*k + v and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*l + 23, -7 = -12*l + 13*l + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1042, 3661, 8040, 14185, 22102, 31797, 43276, 56545?\n\"Answer: c**3 + 874*c**2 - 10*c + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**4\/24 + p**3\/3 + 2*p**2 - 1. Let o be y(-10). Which is the fourth biggest value? (a) o (b) -2\/11 (c) 3\/5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 4*a**2 - 36*a - 36.\nAnswer: 4*(a - 3)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529 - 326 = 46*r - 717 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3 + 2399*z**2 + 283233*z + 8164737 = 0.\nAnswer: -57, 2513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 104. Solve 13 = y*a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3179 and 374.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1094 (b) -0.03 (c) -18337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3*w - 339*t**2 - 2*t*w - 96060*w wrt t?\nAnswer: 3*t**2*w - 678*t - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -15 - -3) + 7 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y - 12 = 0. Let f be (9 - -33)\/(6\/y). Suppose 0 = -7*o - f + 196. Calculate the remainder when 75 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6780 divided by -1356\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 166404*a**2 - 188403072*a - 53696129344 = 0.\nAnswer: -82058, -572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/24 and -67\/584.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256\/5 - -51. Let d = 7 + -7.54. Let y = 0.04 + d. What is the closest to -1 in q, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.6926 litres to millilitres.\nAnswer: 871692.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 698. List the prime factors of o.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + (-15)\/(-9)*3. Suppose -4*a + 8 = 2*d, 6*d - u*d - 11 = 5*a. Solve -s = 2*f - 6, d = -s + 3*s - 2*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n + 8 = 42*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 821192 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -2563, -9638, -23785, -47410, -82919, -132718?\nAnswer: -199213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from mxsvtxmxxxvmxmxsmxv?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + 6*s**2 + 5*s - 1. Let p(x) = -x**3. Let k(j) = -o(j) + 5*p(j). What is k(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 58. Let w = -60 - -87. Let x = w + -9. Calculate the highest common divisor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1629 by -1.\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 2*w - 17061*w**3 - 17101*w**3 + 34161*w**3 + 5*w**2.\nAnswer: -w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, e: 2, x: 2}. Give prob of picking 2 p and 2 e.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/3 - 3280*o**2\/3 - 32500*o\/3 - 27000.\nAnswer: -4*(o + 5)**2*(o + 810)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 2\/13 (c) 1.98 (d) 5 (e) -12\/13 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*z + 34 = 5*p, -4*p + z = -86. What is the lowest common multiple of 818 and p?\nAnswer: 8998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s. Let m(i) = 12*i. Give x(m(d)).\nAnswer: 204*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010722 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-4 - -5 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b + 34321 + 2*b**2 - 17163 - 17158.\nAnswer: 2*b**2 - 43*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -10*c + 2*o + 10651, -5*o - 3533 = -c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145083515.\nAnswer: 5, 2503, 171401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13001122302 (base 4) to base 8\nAnswer: -7013262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.008 (b) -2\/9 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1. Let q(h) = 4*h + 14. Let b be q(-5). Let o(s) = s - 3. Give b*t(l) + 2*o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b6a + 2?\nAnswer: -1b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upw when three letters picked without replacement from {w: 3, p: 7, u: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1384*x**2 - 6*x + 2553. Let v(h) = -1382*h**2 - 5*h + 2555. Let r(c) = 5*s(c) - 6*v(c). Differentiate r(u) with respect to u.\nAnswer: 2744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/60 - 5\/(5\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1862, -3474, -4880, -6080, -7074, -7862, -8444?\n\"Answer: 103*o**2 - 1921*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(-12)\/10 - -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 0*i + 4*i)*(0 + 0 + i) + (2*i + 0*i - i)*(-4*i + 3*i + 3*i) + 7*i**2 - 5*i**2 + 10*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 11*a - 16. Suppose -s + 16 = -a. Solve -20 = -3*l + 2*l + 5*w, 4*l - 5*w = s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 7. Let s be n(9). Let r(m) be the first derivative of 0*m + 1\/10*m**s + 2 - 1\/15*m**3. Determine a so that r(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 9, t: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -149*j - 1. Let x be r(-1). Let f = x + -81. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10734949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 944560 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/9)\/((-15)\/(-135))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 39. Let r = -35 + 23. Let j be ((-7)\/(-21))\/(2\/r). Sort -3, j, b.\nAnswer: -3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 3651?\nAnswer: -62067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 16. Suppose 2*b + 3*b = d. Solve 18 = -3*i - 3*x, 4*i = -b*x + x - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 14*a + 20. Let r be g(15). Suppose -3*j + 8 = -r*y, 5*j - 4 = -y - 0. Let q(c) = -393*c**3 + c**2 + c. Is q(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347675 is divided by 15802.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -209800 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.1 - 24. Let i = u + -2.6. Which is the second biggest value? (a) -1\/2 (b) 3\/5 (c) 0.1 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2144.302 kilograms?\nAnswer: 2144302000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -30 (c) -1\/3 (d) -2\/9 (e) 0.2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606 a factor of 155727318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (6 + 1)*-1. Let k(y) = -y + 1. Let m(p) = -p**2 - 6*p - 10. Let q(w) = 4*k(w) + m(w). Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.715 + -7.715. What is the fifth smallest value in -18\/5, 1, 10, 3, j?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 7. Let q(y) = y + 4. Determine 4*j(u) - 9*q(u).\nAnswer: 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 3*s**2 + 5*s + 10. Let l be ((-15)\/3)\/(-1 + 2). Calculate the remainder when j(l) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20725026, 41450041, 62175054, 82900065, 103625074, 124350081?\nAnswer: 145075086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 4*z - z + 3 - 3 - 2*z + (0*z + 0*z + z)*(-1 - 1 - 3).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 2, k: 2, m: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 17. What is the least common multiple of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28062128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398 and 5373?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 4, d: 1, t: 1, e: 2}. What is prob of sequence xe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p, -8*t + 22*p - 18*p = 4. Let v(a) be the second derivative of 4*a**3\/3 + a**2\/2 - a. Calculate v(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 7)*2\/(1 - -1). Solve 14 = -r*q + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/19, -3\/5, 129, -2, 41?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4945956 and 65586?\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6459574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-15 - (11 - 14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k + 6*k)*(k**4 + 3 - 3) + 3*k + k**5 - 3*k + 38*k**5 + 185306*k - 3*k**5 - 185310*k.\nAnswer: 37*k**5 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 647*y**2 - 16 + 2 + 3 + 3 + 6 to f + t*y + w*y**2 and give w.\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvzzybnynvbn. What is prob of sequence zvn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22355 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25918649 + -5702112543\/220. Let x = h + 481\/11. Find the common denominator of (-2)\/6*318\/(-4) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10309551 * 0.031\nAnswer: 319596.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1912 + 3119. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -747, 2, 3, 5, -501, -5, 1 in ascending order.\nAnswer: -747, -501, -5, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 7838482?\nAnswer: -23515446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7952231 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-18) + 10\/(-12). What is the third smallest value in -1\/5, -1, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*((-20)\/(-16) + 0). What are the prime factors of 2\/(-4) - b\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35611, -35786, -35961, -36136?\nAnswer: -36311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -4, -3\/20, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 294577 (base 10) to base 3\nAnswer: 112222002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9576 + 9658. Calculate the smallest common multiple of l and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6277*z - 444084 - 601473 = -183792 - 133633 for z.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468446463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, 123, 1040, 2921, 6060, 10751, 17288?\nAnswer: 25965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 52*b + 21. Let j be r(18). Suppose 4*v = -0*v, -3*u = -3*v - j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899954482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*2\/(-6))\/((-8)\/84). Let k = h - -42. Which is bigger: k or 48?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3*u**3\/2 - u**2\/2 - 5*u. What are the prime factors of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 3. Let k be a(-7). Suppose -96 = -k*c + 4*c. Calculate the remainder when (17 - c)\/(2\/30) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -4. Let p = g - -0.1. Let j = p + -1.38. What is j rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*t - q, -32*t + 31*t - 34 = -5*q for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 - 6*g. Let a(t) = -3*t - 28. Let y be a(-12). Suppose y*q + 6 - 54 = 0. Determine f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/11, 2\/73, 0.4, -0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)**(-30))**23 assuming m is positive.\nAnswer: m**2070","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 9*v**2 + 11*v + 1. What is r(-5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d + d)*(-720 + 50 + 190).\nAnswer: -1440*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 899.1989686 - 823.19896. Let y = -76 + v. Round y to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9485, -9481, -9477?\n\"Answer: 4*g - 9489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42701?\nAnswer: 42701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -16*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50315 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32969 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5279 - -5283. Let n(g) be the first derivative of 1\/7*g**3 - 3\/7*g**2 - 19 + 3\/28*g**c + 0*g. Determine l so that n(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370445.\nAnswer: 5, 43, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2592 - 2589. Calculate the highest common factor of t and 288.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2103 - 28290 = -1199*v + 3660 + 2526 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 - -193. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17078275.\nAnswer: 5, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (-87 - -125) - -8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1394 + 4838. Is d a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8404737?\nAnswer: 3, 11, 43, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36743662, 36743665, 36743668?\n\"Answer: 3*u + 36743659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**3 - 3*z**2\/2 - 6*z + 57. Does 12 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/12)\/((-6)\/12))\/(176\/96)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334343121 - 0?\nAnswer: -334343121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/20*116\/(-203).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -155, -226, -313, -422?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73981*v + 36761*v - 15973*v.\nAnswer: 94769*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14\/15 (b) -63 (c) 3 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p + 0*p - 3*p)*(-p + 3 - 3) - p**2 + 6*p**2 - 2*p**2)*(5433*p - 5433*p + 533*p**3).\nAnswer: 1066*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1493 and -34645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.027 - -1.027. What is the biggest value in 5, 467, i?\nAnswer: 467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6105338?\nAnswer: 2, 3052669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 691*n + 161.\nAnswer: 691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/5 - 40*l**4 - 618*l**3\/5.\nAnswer: 2*l**3*(l - 103)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 22*a**2 + 52*a.\nAnswer: -2*a*(a - 13)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -771732 + 1543479\/2. Let -15\/2*s**3 + z*s + 3\/2*s**4 + 0 - 3\/2*s**2 = 0. What is s?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.63? (a) -4 (b) -0.5 (c) 12\/11 (d) -5 (e) 42.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let o(s) = 21*s - 24. Let t(h) = 18*k(h) + o(h). Let a be t(4). What are the prime factors of a*((-3)\/9 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (1*sqrt(85) + sqrt(85) - sqrt(85)))*-2)\/(sqrt(80) + (sqrt(80)*-2 - sqrt(80)) + sqrt(80) - sqrt(80)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61 + 1.24. What is m rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7652 + 17327. Let a = m - 4430. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 495562.6 and -241.\nAnswer: 495321.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16917860 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*s = 5*p, 35 = 5*p + 5*s. Let n(h) be the first derivative of 19*h + 3\/4*h**4 + 0*h**3 + 14 + 0*h**p. What is the derivative of n(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 4*h**2 - 2*h + 2. Let u be w(-2). Let k(d) = 2*d**2 - 21*d - 369. Let s be k(20). Calculate the greatest common divisor of s and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228682*j - 1848 = -228724*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4383 = 382*v + 4580 + 11645 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/7, -98, -3, -20\/23 in decreasing order.\nAnswer: 5, 1\/7, -20\/23, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138203 + -3?\nAnswer: 138200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 4*g - 1. Let i(x) = 2*x + 3. Let u be i(-3). Let d be h(u). Suppose -14 = -5*a + d. What is the least common multiple of a and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s - 8. Let u(m) = m + 1. What is 6*u(r) - y(r)?\nAnswer: -2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.22 - -0.69. Let l = s - 30.47. Let g = 31.00042 + l. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, -4, 83?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {t: 1, d: 1, b: 2, a: 1, k: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/66)\/2)\/(10\/30).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by -22.\nAnswer: -205\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**5 - 2634*u**3 - 13101*u.\nAnswer: -60*u**3 - 15804*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(1900) - (-2 + sqrt(1900) + -2))**2*4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-94)\/16 + 0 + -1 and 5\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123\/65 + -22\/13. Let g = -57 - -42. Which is the second smallest value? (a) g (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(12 + -5) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g + 3. Let z be f(3). Suppose -3*m = -z, -4*y - 2*m + 10 = -4. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 smaller than -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44307*-17\nAnswer: -753219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0147 (b) 3 (c) 5 (d) 2 (e) -3\/4 (f) -5 (g) -385\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 - 3*h**2)*(-6*h**3 + 4*h - 4*h).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -134)*(-4 - 192\/(-2)). Let h = 18003 - u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29180000 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181 is divided by 260?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58409339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-6)*36\/(-8). Solve c = 3*s + 27 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*z - 9 = 0, v - 2*z + 1 = -4. Solve -3*y + f = -f - v, -4*f - 11 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 29) + (1 - -17) + 28 + -130?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1723, -77, -172 in increasing order.\nAnswer: -1723, -172, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 2, 23, -2\/9 in increasing order.\nAnswer: -32, -2\/9, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 14, -1\/6, -122312 in decreasing order.\nAnswer: 14, -0.08, -1\/6, -122312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 5.\nAnswer: -192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((b**2 - 3*b**2 + 0*b**2)*(1 - 1 + 1) - 60 + 60 + 7*b**2)*(-6*b + b + 3*b) in the form c + z*b**3 + u*b**2 + o*b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7264, 29243, 65872, 117151, 183080, 263659, 358888?\n\"Answer: 7325*x**2 + 4*x - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33097 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5.7, 4, 2\/13 in descending order.\nAnswer: 5.7, 4, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 2. Let i(g) = -5*g - 4. What is the units digit of i(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240303420 (base 5) to base 11.\nAnswer: -694182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 6*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361548 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -9\/7, 1\/4 in descending order.\nAnswer: 5, 1\/4, -0.5, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/4 + 25 - 2. Let b be (-1 - 2)*(-8)\/u. Suppose 0 = -3*r - 5*d + 25, d + 5 = 3*r + 2*d. Solve -x = -r*x - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, n: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1274 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/22 and -99\/65225044.\nAnswer: 717475484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -355\/2 less than -178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Calculate the common denominator of (1\/c)\/((-12)\/(-378)) and -3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v*v\/(v**(5\/2)\/v) assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6632, -8\/7, 0.011 in decreasing order.\nAnswer: 0.011, 1\/6632, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4456 and 552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -7 in ascending order.\nAnswer: -7, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**4 - b. Let k(o) = 8*o**5 + 10*o**4 + 49*o**2 - 2054*o. Let c(d) = k(d) - 5*q(d). What is the second derivative of c(h) wrt h?\nAnswer: 160*h**3 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (37 - (-1 - -11) - 13) - 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 654102*j*v**6 + 5*j*v**2 - 7*j*v - 17*v**2 wrt v.\nAnswer: 78492240*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -36, 0.58, -0.1 in ascending order.\nAnswer: -36, -4, -0.1, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -652 - -651.9997527. What is p rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.401805mm?\nAnswer: 0.2401805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97162?\nAnswer: 2, 13, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100514241, -402056955, -904628145, -1608227811, -2512855953, -3618512571, -4925197665?\nAnswer: -6432911235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 7*t - 10. Let p(r) be the first derivative of -r**2 + 3 - 7 - t*r**2 + 2*r**2. Let d(l) = -14*l**2. Calculate d(p(f)).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let w be z(2). Let x(r) = r + 7. Let f be x(w). Sort -3, f, -2\/21 in decreasing order.\nAnswer: f, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:28 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 247161553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -822*o + 2425. Calculate s(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 871\/2 + -435. Factor -1\/4 - o*k**2 + 3\/4*k.\nAnswer: -(k - 1)*(2*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8 + 2. Let x(d) = 4 + 0 + 2*d - 3*d - v*d. What is x(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280791972 to the nearest integer?\nAnswer: 16757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -44298120.5 to the nearest ten thousand.\nAnswer: -44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/261 and -103\/36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350551091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 7*b - 6. Let h be v(-10). Let x = 5 - 3. Is (h\/6)\/x*-3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let c(t) = 29*t**2. Determine c(v(h)).\nAnswer: 116*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 22*w - 95*w**2 + 4 + 0 + 96*w**2. Let k be p(-22). Let z(d) = d**3 - 1. Let x be z(1). Solve -k*i = -x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -5507\/1505?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 - 4*o - 1. Let c(j) = 2*j**3 + 38*j**2 + 97*j + 19. Let v be c(-16). What is i(v)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 = 2. Let y(l) = 2 + 7*l - b - 8*l. Let q(p) = 3*p - 6. Let n(w) = -q(w) - 6*y(w). Let x(m) = -3*m**2. Calculate x(n(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1189\/32 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 232*r - 55. Let w = 103 - 97. Is y(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*s - 112819800 = 332*s. What is s rounded to the nearest ten thousand?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m - 1. Let l(w) = 6*w - 1. Suppose -1 = -y + 2*o + 4, -4*o - 16 = -4*y. Calculate y*q(h) - 5*l(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 51, 57, 65, 75, 87?\n\"Answer: l**2 + l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6. Suppose 0 = -u + h + 7, 0 = -2*u - u - 2*h + m. Suppose 0*g = -u*g + 45. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3991529 or 3991530?\nAnswer: 3991530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 29 = -15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -212*q - 217. Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355 and 423515.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 304181734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 a factor of 96792866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 115 = -8*y. Let g = 3370823\/71340 - 2\/17835. Let t = 47 - g. Does y = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 2, w: 1, q: 3}. What is prob of picking 1 w and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1894, -0.4, -2, 2\/243?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 2. Let t(k) = k - 1. Let x(y) = -5*t(y) - 2*w(y). Suppose 1 = -101*q + 100*q. Let s(u) = u - 1 - 1 + 3*u. Determine q*s(l) - 2*x(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1.58. Let k = w - -2.82. Let o = k - 2.8. Which is smaller: o or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 - 5.6. Sort n, -3, -5 in descending order.\nAnswer: -3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9298, 18522, 27746, 36970, 46194?\nAnswer: 55418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 5*y**2 + 8*y - 3. Let b be w(6). Suppose -2*j + 33 - b = 0. Let a = 1628 + -1581. Calculate the remainder when a is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-1)\/(6\/(-4)). Let h be 3\/(15\/20*4\/2). Suppose h*d - 6*a = -5*a + 2, 3*a + 6 = 4*d. Solve 0 = -4*y - 6*u + t*u - 20, 4*y - 2*u + 8 = d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5062?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u + 0*u + (1 + 2 - 5)*(149 - 149 + 31*u)*(12*u - 7*u - 6*u).\nAnswer: 61*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-229*c - 4 + 3 - 834*c)*(1 + 0 + 5) as k*c + u and give k.\nAnswer: -6378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -11. Let w = t - 6. Let s(c) = 29*c + 2. Let x(o) = -21*o - 1. Let a(q) = -5*s(q) - 7*x(q). Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56 - (52 - 28)) + -50\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(119) + (sqrt(119) - (sqrt(119) + (sqrt(119)*2 - sqrt(119)))))*1*3)\/(4*((sqrt(7) - sqrt(175))*-3 + sqrt(7))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 16*o**2\/9 + 86*o\/9 + 220\/9.\nAnswer: -2*(o - 5)*(o + 2)*(o + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*12\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, -46, 96, 5.\nAnswer: -46, -2, -1, 0, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/73, 3, 2\/3, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82967 is divided by 3070.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 31.01, 49, 2, -0.4, -4, -5 in increasing order.\nAnswer: -5, -4, -0.4, 2, 31.01, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -44*f**3\/15 - 18*f**2\/5 + 8*f\/5 + 11. Factor i(d).\nAnswer: -4*(d + 1)*(11*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 times -4\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.2321 times -0.68\nAnswer: -0.837828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 - 1012 = -22*o. Let s be (630\/(-8))\/(-1 - 9\/(-12)). Calculate the highest common divisor of s and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(567) + (sqrt(567) - sqrt(567)*1) + (sqrt(567) - (1*(sqrt(567) + -2) + sqrt(567))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.42 and 1\/6098 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 45. Suppose -1214941 + 1214985 = 22*h. Solve -5*o - 2*a - x = 0, 7*a + 30 = -5*o + h*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-2) + (-2)\/4. Let x be (36\/(-30))\/(6\/(-10)). Suppose -2*m + 44 = x*m + q, -3*q - 60 = -4*m. Solve -i - 2*p = o, 5*p + m + 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 17, 46, 95, 170?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 892\/7. What is the second smallest value in -0.4, v, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 291 + 499 = 0. Let t = m + -20. Let z = 1176 - t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-15))\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 838179 or 838181?\nAnswer: 838179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 3*8\/(-18). Let f = 5.493 - 5.515. What is the nearest to q in f, 0, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*j - 6240 = 203*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/22 - (-2352)\/(-8624)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1503)\/(-54) - (2 + 26\/(-12)). Let n be l\/(2 + (-61996)\/31000). What is n rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and -11899950590?\nAnswer: 11899950589.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 504 = -546 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:00 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2*l - 5*l)*(6 - 2 - 6 + 6*l).\nAnswer: 6*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 19) + 8 + (-1 - -14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/45*-3*(4935\/84)\/(-47)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/147 + (-16)\/168.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 65 = -4*a, 2*x + 4*a = 15 + 11. Let g = x - 1. What is the remainder when 106\/(-2)*(81\/189 + (-10)\/7) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, k: 5}. What is prob of picking 1 e and 2 k?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**5 + 0*c**4 + 47\/6*c**6 + 0*c**3 + 17\/2*c**2 - 41 + 0*c. Find the second derivative of k(u) wrt u.\nAnswer: 940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + f - 6. Let a = 1011 - 1017. Let p(y) = -3*y**2 - y + 7. Give a*p(c) - 7*z(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 23 = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -21. Let x(g) = -4*g - 14. Let u be x(m). Suppose -5*w = -8*w + u. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 18 + -27 + (2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11475 - 44499 = -126*g + 13596. Solve 22*m - 458 = -g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 307 = -t - 285, -5*t = -100 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -36.11. Let i = -17\/3 + 145\/24. Sort i, -2, c in ascending order.\nAnswer: -2, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794989, -794991, -794993, -794995?\nAnswer: -794997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*q - 22414 = 4396, -2*q = -4*i + 21456. List the prime factors of i.\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3\/5 (c) 132 (d) -3 (e) -10 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 + 584*r**4 - 28*r**3 - 4112*r**2 - 3504*r = 0.\nAnswer: -146, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b = -104 - 67. Let s(a) = -4*a - 3. Let u(p) = -p**3 + 3*p + 2. Give b*u(r) + 2*s(r).\nAnswer: -3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/6)\/(5\/(-2)))\/((-332)\/6225*55)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1100 and 700?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 21. Suppose 2*b + 3*t - 12 = 0, -2*t + 0 = -5*b - 8. Suppose b = 2*o - o - 15. Calculate the remainder when o is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 38*h**3 + h**2 + 2*h + 1. Calculate c(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 + 3 - 21*z - 1 + 26*z - 2. Let g(l) = 4*l - 4. Give 7*g(w) - 6*x(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3589*i + 3591*i + 333*i**3 - 7180*i.\nAnswer: 333*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(x + 2*x - 4*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/(-12) + 5)*-2. Which is the nearest to -2\/7? (a) 49\/4 (b) 1 (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3809 and -3910679357.\nAnswer: -3910683166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 - 24*p + 385\/2 = 0 for p.\nAnswer: -55, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163912435.\nAnswer: 5, 32782487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 36. Suppose v*q + 20 = 4*q. Suppose 0 = q*z - 6*z + 1. Solve -t + 0*t - 3*k = -z, 5*k = t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 10177428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -3*i**7\/35 + i**6\/10 + 11*i**5\/30 - i**4\/3 - 4*i**3\/3 + 9*i**2. What is t in c(t) = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 4. Suppose 5*n + 181 = 4*b, -b - 15 + 61 = -2*n. Suppose b*r = -48 - 40. Calculate y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2553662*l + 2553400*l + 14410 = 0 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -92*p**2 - 208*p - 14. Give c(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525969637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -33. Let w = q - 30. Which is the third smallest value? (a) -0.3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8)*37*-4. Let s = z - -131. Suppose 2*w - s = -4*y, 2*y + 4*w - 57 = -1. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -624631, 1, 1\/109?\nAnswer: -624631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -409, -347, -247, -115, 43, 221, 413, 613?\n\"Answer: -k**3 + 25*k**2 - 6*k - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 812*h - 46. Let c(i) = 3*i + 4. Let b be c(1). Let j(g) = -812*g + 45. Let t(n) = b*v(n) + 6*j(n). Let m be t(21). Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -533, -799, -1065, -1331?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304415 + 15?\nAnswer: -304400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 40 = -13. Let g(d) = d**3 - 10*d**2 + 10*d - 13. Let s be g(r). Let n be (-9999999)\/s - (-2)\/8. What is n rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -71. Let h = v + 96. What is the highest common factor of 92 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 2*q**2 + 7*q**2. Let y(l) = 2*l - 6. Let c(v) = 4. Let b(k) = -1. Let z(t) = -6*b(t) - c(t). Let g(a) = -2*y(a) - 6*z(a). Give u(g(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:49 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 355?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 3. Let n(o) = 5*o. What is n(t(f))?\nAnswer: -25*f + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(1\/5*(-25)\/3) + 168\/(-175).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 152. Which is the closest to v? (a) 3 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 + 5*w. What is the tens digit of o(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 3.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17314*0.3.\nAnswer: 5194.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52098 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 6*o + 3 = 3*k, 0 = 4*k + 3*o - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867114, -867113, -867112, -867111?\nAnswer: -867110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 4 + -24 + 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -25, 3\/8, -2, -21, 16\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 1. Let h be d(-2). Let m = 1 - h. Is -2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53556156 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 + 5*u - 3. Let l be i(-6). Suppose -l*h + 19 + 35 = 0. What are the prime factors of 212\/h + (-6)\/(-27)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/8) + 0 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 227 and 250 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40012, -37965, -34538, -29719, -23496, -15857?\n\"Answer: 2*k**3 + 678*k**2 - k - 40691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -541 + 548. Calculate the greatest common divisor of 28 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-235)\/16920)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t**(-2\/15))\/((t*t*t\/(t**(-2\/17)\/t))\/t**4) assuming t is positive.\nAnswer: t**(-829\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/25 - -34\/275. Let u be (-1 + 180)\/((-2)\/(-2 + 12)). Let o = u - -8989\/10. Calculate the common denominator of o and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -204, 1\/3057, 10.\nAnswer: -204, -1, 1\/3057, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 15*g**2 + 15*g + 19. Let s be f(-14). Suppose 49 = -l + 2*i, -243 = s*l + 4*i - 26. List the prime factors of (l\/9)\/(5\/(-42)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 17*u + 7*u - 109*u + 9*u + 100*u + 0*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - 0.3. Let a = 1.26 + b. Let w = 6 - 1. What is the nearest to a in 0.5, w, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4 + 9962*o**3 + o**2 - 9962*o = 0.\nAnswer: -1, 0, 1, 9962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.253\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 116092.\nAnswer: 1\/29023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.043 + -0.043. Let w = 0.3 - 1.3. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = 2*n - 0*i, 0 = n + 3*i - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48003791 to the nearest integer?\nAnswer: 6928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.805 times -235\nAnswer: -189.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 737 - 3672\/5. Let s be -6 + 132\/15 + (-8)\/10. Is s greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*974\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.95 in 2\/13, 1\/9, 433, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 11*o**2 + 7*o. Let s be t(2). Solve -11 = -s*q + w - 7, -5*q - 4*w + 23 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*p - 34*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496604566 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148275509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(-1 + sqrt(192)) - (sqrt(192) + (sqrt(192)*-2 + sqrt(192) + -3)**2)) - (sqrt(30)\/(sqrt(4)\/sqrt(2)))\/(sqrt(10)\/(sqrt(8)\/sqrt(4))).\nAnswer: 47*sqrt(3) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 z, and 1 o when four letters picked without replacement from {z: 4, o: 2, m: 2, g: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/2 + 0\/(-9). Let g(v) = s*v - 782 + 782. Let l(n) = -6*n. Determine g(l(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*8*1\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5292 divided by -6.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 9*g**2 - g + 10. Let i be d(9). Calculate the least common multiple of 20 and (-48)\/(-30)*i*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - a - 1. Let h be i(-1). Let l(w) = -w - 6. Let x be l(h). List the prime factors of (-13 - x)*((-64)\/12 + 1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54901500 and 1800.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9668, 19361, 29054?\nAnswer: 38747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15 = 5*z. Find g such that -g**5 - 4*g + 15*g**3 + z*g**5 + g**2 - 14*g**4 - 3*g**3 + g**2 = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*2)\/sqrt(7) + sqrt(28) - (sqrt(42)\/((sqrt(42) + sqrt(42)*1)\/sqrt(7)))**2.\nAnswer: -7\/4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 900 = 0. Suppose c = -c + s. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**3 + 386*s**2 - 120*s**2 - 124*s**2 - 142*s**2 + 19*s**3 + 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 4, -1\/2, 3.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000675 to 6 decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*l - 103*l = 104*l - 45 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -88630.8?\nAnswer: -177261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -640 + 641. Let m(z) be the second derivative of -z**4\/12 - z**3\/2 - 5*z**2\/2 - 3*z. Let n be m(-5). Sort -4, d, n in decreasing order.\nAnswer: d, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291325178 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2903761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 + 27*z - 50. Give x(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*n - 2*v + 2 = -815*n, -4*n + 5*v = 175 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/8)\/((-12)\/32*-1). Suppose x*m = 162 - 8. Solve -1 = -b + 4, m = 3*t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299857 is divided by 1675?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/4051 + -4041\/20255. Which is the smallest value? (a) -0.05 (b) 11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((308\/35)\/11)\/((-22046)\/755)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-13))\/2 + 2464\/(-208). Let l(z) = -z**2 - 24*z + 6. List the prime factors of l(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4768 bigger than -2839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:19 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 161 + 135 - 58 + 25*y.\nAnswer: 25*y + 365","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 13*m**4)*((-3 - 1 + 3)*(-3 + 3 - 1) + 1 + 3 - 3) + (-m**2 - 1 + 1)*(-m**2 + 3*m**2 - m**2).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 7*n - 2*n + 315, 2*n + 389 = 263 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.72722 take away -62877670?\nAnswer: 62877586.27278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let h be 805\/(-28)*(-4)\/1. Let c = h - 59. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = p - 3, 3 = -3*l + 21*p - 24*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + 3 + -1. Suppose 8 = -h*r - 40. Is 45\/4 + 6\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14865077 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145 or 144?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 4\/5, 36\/265?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.1 - 27.7. Which is the closest to 0? (a) 3\/2 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ac541 (base 14) to base 13\nAnswer: -276167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.08, -19\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -3898\/15. Suppose 0*j - 3*j = 3. Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8494 - 2351. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58506861, 58506856, 58506847, 58506834?\n\"Answer: -2*x**2 + x + 58506862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*l - 966*l + 48 = -481*l + w, 5*l - 2*w + 135 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105692029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -26. Let k be (-8)\/(-3) - d\/(-27). Solve -k*g - 4 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -34?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 6, 21, 36, 51?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(-9 + -3). Let b = -8 + y. Let i(z) = -5*z - 1. Let h be i(b). Calculate the greatest common divisor of h and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -2 - sqrt(637))*3 - sqrt(637) - (-1 + sqrt(637) + 1))**2.\nAnswer: 168*sqrt(13) + 2584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40974 by -2.\nAnswer: -20487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 0.6, -3, -2, -5, -2\/115?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974796 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.08 (c) -1 (d) 0.032 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19131\/816202 - 3\/914. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 2*m, -5*v - m = -0 - 16. Suppose v = i - 7. Let f(c) = -c + 9. Calculate the remainder when i is divided by f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1167 + -129. Let p = 686 - r. Let x = p + 556. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 3\/8*m**4 + 0 - m - 1\/5*m**6 + 1\/4*m**3 + 0*m**5 + 0*m**2. Factor w(n).\nAnswer: -3*n*(n - 1)*(2*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 5. Let y(c) = c + 3. Let w be y(-1). Suppose -w*n + g - 3 = 2, 35 = -2*n - 5*g. Let m be i(n). Sort -0.2, m, 2 in descending order.\nAnswer: 2, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -3.5 (b) -167\/2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((60\/(-9))\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from vbbooboobbbobobbb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, 14\/19, -23\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 11. Suppose -25*z - 4 = -27*z. Let j be z*(-16)\/(-10)*5. Calculate the highest common factor of x and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18573 and 10921377?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/36)\/(1\/9). Suppose u = 4*u - q. Sort -7, 0, u in descending order.\nAnswer: u, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-759)\/12 - (-4)\/16. Let d = l - -65. Solve -d*u = 3*a + 19, 0 = -4*a - 1 - 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2\/7 + 47648*w\/7 + 82504656\/7 = 0. Calculate w.\nAnswer: -1534, 13446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 62 + 98 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/5, -4\/3, -5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -23 - (90 + -70)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 700153?\nAnswer: 700130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 2*y**5\/15 + y**4\/12 - y**3\/6 - 7*y**2. Let g be r(1). Suppose -b = -4, 3*q - 4*b = -g*b + 140. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b = 10, 5*b = 2*m + 270. What is the tens digit of (-4)\/7 + m\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 366, 475, 628, 825, 1066?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z + 7*z + 72 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -33*w**3 + w**2 - 1. Give x(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631811255?\nAnswer: 3, 5, 173, 431, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -3*r, -13 = -12*r + 8*r + 5*d. Let t(f) be the second derivative of 55\/3*f**3 + 605\/2*f**r + 31*f + 0 + 5\/12*f**4. Let t(b) = 0. What is b?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -520, -1177, -2096, -3277, -4720, -6425?\nAnswer: -8392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t*t*t**(-3\/5)*t*t*t)\/t)\/t)**(1\/24))**(-8)*(((t\/(t\/t**(-2\/27)))\/t)\/t*t\/t**(-4))**(-33) assuming t is positive.\nAnswer: t**(-4411\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 + 25394264*d - 40304290256356 = 0 for d.\nAnswer: 3174283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2659 = 2653, 5*l - 18 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 17*z**2 + 46*z - 67. Determine f(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(9606 + 101*n - 9606)*(n + 2 - 2)*(0*n**2 + 3*n**2 - 2*n**2).\nAnswer: -101*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 3, 2, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxjjalu. Give prob of picking 1 l and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1292 = 7*z + 1264. Suppose -b - 1 = 0, -1705 = -z*q + 3*b + 1498. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.8 + -9.7999959. Round w to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 763, -214 in descending order.\nAnswer: 763, 65, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 28576?\nAnswer: -1714.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 5*p + 6, -4*p = 2*u - 14. Suppose -2*z = 3*s + 1, s - 13 + 2 = u*z. Let b be -1*(s\/(-1) - -2). What is the nearest to -2\/3 in 0, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190) - sqrt(190)*-2*3))\/(-6*(2*sqrt(250) + sqrt(250) + sqrt(250) + sqrt(250)) - sqrt(250) - sqrt(250)) + -3.\nAnswer: -3 + 21*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-2))\/4)\/((-12)\/240)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1164, -38, 1838, 4464, 7840, 11966, 16842?\n\"Answer: 375*y**2 + y - 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2)*(402 - 391)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let k = z + -4. Let d = -4 - -3.6. Which is the closest to -0.1? (a) k (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a - 20*a = -28*a - 42*a + 366. Factor 2\/9*b**4 + 0 - 14\/9*b**2 - 7\/9*b**a - 5\/9*b.\nAnswer: b*(b - 5)*(b + 1)*(2*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + 4 - 4 + 1 + 0 - 1 + 0 + (1 - 1 - 1)*(-2 + 0 + 4))*(k**4 - 3*k**4 + 0*k**4).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933 + 3615 = 31*b - 11454. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*k + 97 = k, -3*f + 4*k + 65 = 0. Suppose f*l - 4432 = 7*l. Suppose 67 = -5*u + l. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9350269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339592 is divided by 1524?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2202 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5120*v + 191442 + 305198 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1004279 or -1004330?\nAnswer: -1004279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)\/((-5)\/5*-1). Suppose g = -4*s - 3*s + 5*s. Solve s = -4*d + 3*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 766, 736, 704, 670?\n\"Answer: -b**2 - 27*b + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5163108*z**3 - 29*z - 29500?\nAnswer: 30978648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -1\/9, 8, -1\/7, 0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 1:53 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/1225 and -11\/4755?\nAnswer: 1164975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssnnrnbsnsnbnnnssv.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.35183 rounded to 0 dps?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295.2 - -71.2. What is the second biggest value in a, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2075*f + 22828. Give g(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 43 - 0 - (-25 - (1 + -15))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*p - 3 + 15, -3*q = p + 4. Solve -r + 2*r + 4 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**11*u*u)\/u**(1\/16)*(u**12)**(-3) assuming u is positive.\nAnswer: u**(-705\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 8. Let j = y - -11. Let u = 7 - j. Solve 6 = 3*q + 2*n, 5*q + u*n = 5*n + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47381, -90856, -130423, -166082, -197833?\n\"Answer: 1954*f**2 - 49337*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*q + 16 = 2*n - 0*n + 7*n, 0 = -4*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5675\/3 - -124973\/66. What is the common denominator of -71\/22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*5 - ((-4)\/2 - 3). Let x = -667\/8 - -83. Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 209*q + 414. Is 4 a factor of v(85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 1, l: 1, r: 1, k: 2, a: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428782 is divided by 4218.\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4100*z**2 + 192700*z + 19. Calculate k(47).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -189, -197, -205, -213?\n\"Answer: -8*r - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/5, 143\/3, -2\/13, 1\/4, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-176085)\/86)\/(-91))\/((-3)\/(-202)) is divided by 167.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.61 - -0.19. Let p = i - 1.6. Let v = -8 - -7.9. What is the nearest to v in -1\/4, 0.3, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, r: 1, q: 3}. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1894, -1630, -1212, -646, 62?\n\"Answer: -o**3 + 83*o**2 + 22*o - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/90 and -143\/13686.\nAnswer: 205290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (496\/155)\/((-4)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -346, -245, -70, 191, 550, 1019, 1610, 2335?\n\"Answer: 2*m**3 + 25*m**2 + 12*m - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 74 - 11*v + v**3 + 5*v**2 + 0*v - 72 in the form u*v**2 + i + y*v**3 + l*v and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-158)\/(-24)*4 - 4\/(-6). Solve -7 = 4*j - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645054422 is divided by 1206?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2418 divided by -31?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6528 divided by -48\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 399\/2 - 4359\/22. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 6*u + 5. Let p be y(-6). Let g(q) = 51*q + 5. Let t be g(p). Is 24 a factor of -2*1*t\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 123\nAnswer: 5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39336 - 187336. What is d rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7 + 2. Let v be 5\/8*(-3)\/k. Let p = -2 + 7. Which is the second biggest value? (a) 3 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204645 and 321585?\nAnswer: 2251095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -359*l + 75602. Determine h(212).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-3)\/(-36)*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1683*h**4\/8 - 1537*h**3 - h**2 - 2*h + 314. Differentiate w(l) with respect to l.\nAnswer: 5049","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 352\/165 - 4\/30. Let y(u) = 3. Let v(o) = -o + 13. Calculate n*v(w) - 9*y(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**3 - 3*n**2 + 3*n. Let s(x) = 4*x**3 + 2*x**2 - 2*x. What is -5*i(b) - 8*s(b)?\nAnswer: -2*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -472.3 - -535. What is y rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7588466 to the nearest integer?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -13457*k + 677. What are the prime factors of a(-3)?\nAnswer: 2, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*h - 308670 + 311001 = 0 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:26 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**2 + 10*h**2 + 0*h**2 + 4*h + 3*h**2 + 8. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39165 and 1260?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 19*v + 43. Give i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 5*k + 2. Let c be d(-5). Let i = 20 - 27. Let n = 7.2 + i. What is the second biggest value in n, 0.01, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 7. Suppose -6*d = 5 - 29. Suppose 5*v - 4*y = 31, 2*y = d*v - 9 - 11. Let i be x(v). Solve 5*l = 25, r - 9 = l - i*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 6*s - 12. Suppose s*c - x + 45 = 0, 6*x - 3 = c + 3*x. What is the tens digit of c\/42 - (-240)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -968 - -971. Solve -5*g + 14 = w*y, 3*g + y = 5*g - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-120)*(81\/78)\/(-3). Which is the smallest value? (a) j (b) -0.2 (c) -0.5 (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(7\/28)\/((-3)\/4). Suppose -4*j = -4*b - 8, -r*j + 6 = 5*b - 11. Let a be (-2*3)\/((-6)\/16). Solve j*k - a = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 - 6*y**3 + 4*y**3 + (-3*y + 3*y - y)*(-1 + 2*y**2 + 1) - 3*y + 3*y - 2*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/2 + 18*b**2 + 16*b. Let g be j(-11). What is the third derivative of 164 - 19*v**2 - 164 + 9*v**g wrt v?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -9850848 + 1585248. Round t to the nearest ten thousand.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2434 = -4*o + 2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3516841 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 500049.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 6. Let d = -25 - -22. Let f be (d - (-14)\/3)\/(-1). Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 21*q + 58. Let x be l(-3). Let v = 75\/4 + -19. Which is the biggest value? (a) x (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 1, x: 3, c: 1, u: 2, i: 1}. Give prob of picking 1 u, 1 c, 1 v, and 1 e.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0\/(g**(-4)\/g)*g**(-3\/7)*(g\/((g\/(g**4\/g))\/g))\/g*(g**1)**(-41)*(g\/(g\/(g**(-3)\/g)))\/(g*g**3) assuming g is positive.\nAnswer: g**(-290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/12*(115\/15 - 3). Does 9 divide d\/(42\/(-45))*18\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 0.13.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150 (base 9) in base 5?\nAnswer: -312312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -2*q - t, 2*t = -4*q + 6*t + 232. Suppose q*o - 23*o - 555372 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.7596*438.\nAnswer: -13034.7048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1. Let x(c) = -35*c**2 + c - 2. What is x(y) - 2*z(y)?\nAnswer: -35*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 115*x - 34. Suppose 0*i = -i - 2*h - 13, h = 4*i + 79. What is the remainder when s(-57) is divided by i\/(-3) - (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-9) + (-42)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 - 198*n**4 - 3867*n**3 - 10752*n**2 + 217620*n - 202800 = 0 for n.\nAnswer: -26, -20, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -17. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r + 101. Suppose 0 = 4*n + 2*s + 62, 5*n + 154*s - 159*s = -25. Give d(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49787 + 15.\nAnswer: -49772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 94347 divided by 3\nAnswer: 31449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/908 and 56\/123.\nAnswer: 111684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14534.125106 to 0 dps.\nAnswer: 14534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - d**2 + d**2)*(15*d - 15*d + 17*d) + 0*d**4 + 2*d**4 + d**4 in the form s*d + c + g*d**3 + a*d**2 + n*d**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1361359*r**4 + r**2 - 12*r + 104508?\nAnswer: -32672616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -46. Suppose r = 2*y - 130 + 12. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -57, -92, -151, -240?\n\"Answer: -h**3 - 3*h**2 - h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g - 67. Let s(r) = -6*r - 22. Let t(c) = -2*d(c) + 7*s(c). List the prime factors of t(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 2*l**2 - 2*l + 1. Let w be m(1). Let r(b) = -4*b**3 - b**2 + b + 1. What is the remainder when r(w) is divided by ((-4)\/10)\/((-1)\/35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in 3\/2, -1, -0.4, 3\/20, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(1\/26)))\/z**37)\/(z**(-4\/15)*z)**23 assuming z is positive.\nAnswer: z**(-20993\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*o - 2*m, 3*o + 2*m = -2*m + 38. Solve -l + o = 4*t, 3*l + 3*t - 5 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let r(v) = -3*v - 2. Let c be r(j). Suppose 0*s + 2*s = 5*p, 0 = p + c*s + 22. Sort p, 5, -1 in decreasing order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 19. Suppose -5*i - 9 = 4*h, -2*h + 3*h + 11 = -3*i. Let a = s + i. Solve -7*c = -2*c - a*n - 20, n + 3 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -15.79996485828\nAnswer: -16.29996485828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.5359 centimeters in millimeters?\nAnswer: 6005.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.26? (a) -0.3 (b) 3\/2 (c) -5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) 2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 14) in base 5?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w + 28. Let l be 14\/(-5)*540\/(-378). Let g be w\/(-16) + 1\/l. Sort g, 5, 3 in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-17 - -2)) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*t - 54. Let w = 6 - t. Let o(u) = 6*u**3 + 4*u**2 + 2*u + 2. Let i(v) = 5*v**3 + 4*v**2 + v + 1. Let d(g) = -5*i(g) + 4*o(g). What is d(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627395 is divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1*(-35 + (-454)\/(-13)). Let q = -61\/24 + 8\/3. Which is the closest to 0? (a) -2 (b) -15 (c) h (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -1. Let m = l + 11. Let f(b) = 266*b - 1. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249865?\nAnswer: 5, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63700 and 2058.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7*41.49.\nAnswer: -319.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**7\/14 - 5*r**3\/6 - r + 2. Let s(t) be the first derivative of w(t). Find the second derivative of s(b) wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 11. Let y(d) = 13 - 3 + 3987*d + 11 - 3986*d - 4. Give 7*x(u) + 5*y(u).\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**4 + 88*o**3 + 200*o**2 + 96*o = 0. What is o?\nAnswer: -12, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2535*c**4 - 2*c**3 - 16*c**2 + 1269082*c - 1.\nAnswer: -30420*c**2 - 12*c - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5 in increasing order.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b + 2685 + 8*b + 1592 - 16*b to l*b + n and give n.\nAnswer: 4277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 258, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4571 + -4567. Solve x*f = 4*t + 8, 0 = -26*t + 23*t - 3*f + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23d4 (base 15) to base 16\nAnswer: -1dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 5*u - 29, 4*u = 20. Suppose -c = -3*c - x. Let s be 1 - (-31 + 2 - c). Calculate the highest common factor of 70 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = -1. Let o(p) = p + 9. Let w(s) = -2*s - 9. Let d(c) = 5*o(c) + 4*w(c). Let b be d(l). Which is smaller: -14 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000126234 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9774 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3.7. Let n = -2069 + 2077. Which is the third biggest value? (a) n (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*p**5 + 24*p**4.\nAnswer: 4*p**4*(25*p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -15, -4\/3, 2\/75, 0.2 in decreasing order.\nAnswer: 2, 1, 0.2, 2\/75, -4\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15902.6 * 6.\nAnswer: 95415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*c**2 - 1 + 2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 9*i - 16. Let g be a(-9). Let h(o) = -96*o - 2. What is the remainder when h(-1) is divided by g\/5*(-10)\/2 - 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i - 20 = 0. Suppose 2*b = i*b - 110. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavva. Give prob of sequence vva.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6842123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 666729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 7*h. Let n(x) be the third derivative of 0*x**3 + 0*x - 1\/8*x**4 - 2*x**2 + h. Let s(b) = -b. Give n(s(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 684407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6\/(-90))\/((-5)\/3).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 5*d - 5. Let p be k(-1). Let o(g) be the second derivative of -1\/6*g**3 + 0*g**p - g - 1\/12*g**4 + 0. Determine l so that o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17186076*c**3 + 68595*c**2 + 2*c + 19?\nAnswer: 103116456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Suppose -4 = 4*d + n*w, -16 = -3*d - 2*d + 2*w. Let y = 0 - d. Let s(t) = -t**3 - 4*t**2 - 2*t - 1. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 1*(sqrt(605) + -1 + sqrt(605)) + sqrt(605) + 1 + sqrt(605) + -1 - (-6*-2*sqrt(605) + 0))**2.\nAnswer: 154*sqrt(5) + 29646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(396) + (sqrt(396) + sqrt(396)*3)*4) + (-6*(sqrt(396) + sqrt(396)*-1) - (sqrt(396) + 2 + 2*sqrt(396))))*5 + -3)**2.\nAnswer: -10920*sqrt(11) + 1940569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 73*h**2 - 32*h - 18. Let a be i(36). Suppose -28 = 7*f - a. Solve 0*o - 5*o = 2*w + f, -2*o - 3*w - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-4) + (-5)\/10. Let f = -2 - p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*s + 209*s + 71*s - 418*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32245 = -3*f - 5*t, t - 36131 = -3*f - 3870. List the prime factors of f.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 61 = -470. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000483008 to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52824413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -183, -187, -191, -195?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 + 287*r + 11. Give s(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77561003 and 7016?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81269819, 162539631, 243809441, 325079249?\n\"Answer: -f**2 + 81269815*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 3. Let l = -11 - -21. What is the remainder when q(4) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(456) - sqrt(456)*-2)*-4)\/(-1*sqrt(588)))\/((sqrt(648)*2)\/(sqrt(4) - -4*sqrt(36))).\nAnswer: 26*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 = 4*h, 0 = h - 19*o + 27*o - 45. Solve 7*y - h = 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29435 - 16618. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 16*x**4 + 158*x**3 - 13*x**4 - x - 5*x + 6*x as p*x**2 + d + c*x**3 + l*x**4 + j*x and give c.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 2 = 21*x. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a + (-1 + 3 + 0)*(-3*a - 3 + 3))*(-2*a + 0*a + 3*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9.2 times -5\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 5\/983, -3, 0.086?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23227 is divided by 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 + 2*a + 14. What is the remainder when r(-3) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:43 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 37*l + 4. Let t(s) = -1036*s - 111. Let k(c) = -111*g(c) - 4*t(c). Let b(h) be the third derivative of h**4\/24 + 200*h**2. Give k(b(v)).\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-8 + 2 - (-7 - (14 + -16)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4\/5 - 162*p**3 + 23733*p**2\/5 - 12798*p = 0.\nAnswer: 0, 3, 30, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 72*r + 431\/6.\nAnswer: (r - 431)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**2\/2 - r - 23. Let o(j) = -2*j**2 - 19*j - 57. Let s(k) = o(k) + 3*t(k). Factor s(c).\nAnswer: -2*(c + 5)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108084 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 4*c - 2*c)*(3*c**2 - 3*c**2 - 2*c**3) + 964*c**4 + 1052*c**4 + 2*c**2 - 1311*c**4 to i + z*c**3 + j*c**4 + s*c**2 + o*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 134246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377892 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:07 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 21, 46, 81?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:28 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66406 rounded to two decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 258\/(-172) + (-4)\/((-16)\/10338). Let u be 7 - (-1 + 20691\/j). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (7 - 27 - -34) + -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -40*c - 180, -c = 117*d - 112*d - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35774826 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 3*p + 13. What is v(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {y: 3, z: 3, o: 5, h: 6}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -41\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12720, -51140, -115174, -204822?\nAnswer: -320084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -349514 != -349512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*d - 6*d - 7*d - 23*d**5 + (d**3 + d**3 - d**3)*(2*d**2 - 2*d**2 - 2*d**2).\nAnswer: -25*d**5 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 10*y - 145 = -0*y. Let f be (0 - -2 - 16)*-1. Suppose 2*n + f = -0*n. Put y, n, 5 in ascending order.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -285 (b) -1 (c) 14.7 (d) -3\/4 (e) 2\/9 (f) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 - 18*x**4 + 26*x**3 + 90*x**2 - 100*x = 0 for x.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and 41.5298?\nAnswer: 42.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 384, 9, -1, -5 in increasing order.\nAnswer: -5, -1, 5, 9, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - 20*s**2 + 137*s - 1979. Is k(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 681365.3g?\nAnswer: 0.6813653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let w(a) = 520*a. Determine r(w(n)).\nAnswer: -540800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 84417?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -46229?\nAnswer: 46228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109 and -5.\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.349 + -173.651. Let r = 78.37422 + -252.37293. Let o = r - x. What is o rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8003 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {g: 12, l: 6}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -v, -5*v + 2*b - 38 = -42 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3725 + 3713. Are 16 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10 = 0, 327 = 5*x + 4*f - 146. Suppose 0 = -2*y - 5*d - 82, -y - 24 - 11 = 4*d. Let u = y + x. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let p be 1 + c + -112 + -3. Calculate the remainder when 1 + (2 - p\/2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-5\/6)\/(k**(2\/5))**(-1\/32) assuming k is positive.\nAnswer: k**(403\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -155. Let a(v) = -14*v**2 - 10*v**2 + 21*v**2 - 9*v**x. Let w(d) = 5*d. What is w(a(o))?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = g - 4*v + 2, -v - 4 = 0. Let k be 2 + (-2)\/((-6)\/9). Let h = k - -20. Calculate the remainder when h is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*j - 236 = -6*j, -5*h - 573 = j. Which is the smallest value? (a) 1 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w + 4*w - 48*w + 15*w - w**2 + 11*w.\nAnswer: -w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56450\/22580*(-3)\/40*-1?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -29*y - 4. Let v be m(-3). Let s be ((-207)\/15)\/((-27)\/45). Let w = v - s. Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/2))\/((n\/((n\/(n*n\/(n**(-1\/6)*n)))\/n*n))\/n))**(-2) assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 9*a + 3. Let c(i) = -32*i**2 + 47*i - 15. Let t(v) = 2*c(v) + 11*p(v). Let r(w) = w**2 - w + 1. Determine -3*r(d) + t(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -14759?\nAnswer: -59036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2048 or 2008?\nAnswer: 2008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + a)*(2 - 1 - 2) - 6*a + a + 3*a + 1 - 1 - a - 2*a + 5*a - 2*a + (29*a - 13 + 13)*(4 - 3 + 0) as p + n*a and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193041\/11823219 + (-3)\/(-237).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 12*j - 4*j - 8*j + 39*j - 5*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4653.4535 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.148 in -0.1, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10278 - 2.59397?\nAnswer: -10280.59397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/13, -1\/5, -12\/13, -1, -61\/5, 1\/8?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 443.\nAnswer: 9\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 6177?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.99 + -14.99. What is the biggest value in -151, -1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/17 + 3238*f\/17 - 831360\/17.\nAnswer: -2*(f - 1299)*(f - 320)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 8*z**2 - 10*z.\nAnswer: 2*z*(z - 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 8*b - 320 = 0. Suppose -4*u - 5*s + 278 = -b, -5*u + 450 = 5*s. Suppose -104 = -7*x + u. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*w*x + 2580*f**2*w - 193*f**2*x + 58*f**2 - 4291*f*w*x - 3211*f*w - f*x wrt f.\nAnswer: -4*w*x + 5160*w - 386*x + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 23. Let k be t(-6). Let f(x) = 4*x**2 + x. Determine f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1, 5, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12476730.\nAnswer: 2, 3, 5, 7, 19, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 6*w - 2. Let g be l(-5). Let u = -1 + g. Suppose 0 = u*c + c - 192. Calculate the highest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 918, 1650, 2392, 3138, 3882, 4618, 5340?\n\"Answer: -n**3 + 11*n**2 + 706*n + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -133*a - 6. Let r be m(-1). Suppose 3*f - r = 2*z, -2*z = -3*f - 7*z + 155. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-3\/37))*c)\/((c*(c\/(c**24*c))\/c)\/c))**5 assuming c is positive.\nAnswer: c**(4795\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15967 and 588498.\nAnswer: 4119486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136729 and 10951431?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*k - 2*i + 7748, k - 4*i - 1937 = 0. Is k + 3\/(-6)*0 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 -4, -48, -120, -220?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1043*y**4 - 5*y**3 - 105. Let g(m) = -3130*m**4 + 16*m**3 + 316. Let z(t) = -5*g(t) - 16*s(t). Differentiate z(w) wrt w.\nAnswer: -4152*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 7. Solve 6 = 2*x - 4*f, -3*f = 5*x - 5*f - k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x**2 - 1. Suppose 0 = 7*u + 4 - 4. Let j(o) = 2*o + u*o + o**2 - 2*o. Determine t(j(y)).\nAnswer: 39*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -125*z**2\/2 + 450*z + 284. Differentiate j(i) wrt i.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 12:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -26, -13, 20, 79, 170, 299?\n\"Answer: p**3 + p**2 - 11*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 220 = 4*d - 7*d, 1155 = 5*h + 4*d. Let t(v) = 283*v**2 + 251*v - 2. Calculate the remainder when (-3)\/(-6) - h\/(-2) is divided by t(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 7.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a century in months?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1199*p**5\/60 - 5*p**4\/12 - 4*p**2. Suppose -30 = -2*k + 5*k. Let w be q(k). What is w rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 25272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = 0, 0 = -3*h - 4*i + 594 + 1327. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -201453, -201435, -201407, -201369, -201321, -201263?\n\"Answer: 5*j**2 + 3*j - 201461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40721, -40664, -40607, -40550, -40493?\n\"Answer: 57*s - 40778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let o(p) be the second derivative of -5*p**3\/3 + p**2\/2 - 106*p. What is o(z) + 6*r(z)?\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8) + -5 + 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzbcpzhzmbmbcczp. What is prob of picking 2 p and 2 c?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*u + 76 - 159 + 78 to the form o + f*u and give f.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -16, 87, 5 in descending order.\nAnswer: 87, 5, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 14*p - 25. Let k be h(-8). Suppose -12*v + k + 373 = 0. Solve v*r = 34*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -31*v**3 + 10*v**2 + 611*v + 570 = 0.\nAnswer: -114\/31, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-20)\/(-4) + 1. Suppose -85 = -s - 22. What is the greatest common factor of s and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 6. Suppose 0 = 5*v - g - 10, d*v - 22 = -0*v - 2*g. Suppose h + 8 = 5*h. Put -4, v, h in decreasing order.\nAnswer: v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 11010101101101?\nAnswer: -11010101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25*x**2 - 6*x**3 + x + 29*x**2 + x**3 - 5*x**3 - 4. List the prime factors of r(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-94)\/(-42) + (-66 - (-33512)\/497). Factor r*d**2 + 13\/3*d + 7\/3 - 1\/3*d**3.\nAnswer: -(d - 7)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155266.\nAnswer: 2, 29, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 4. Let r be c(3). Let h = -36\/4591 - 6353620\/41319. Let n = 154 + h. What is the second smallest value in 18, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81795077 + -519.\nAnswer: 81794558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2016 + -1195. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 22*x + 58. Let p be s(7). Sort p, 0, 11.\nAnswer: 0, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -153, -433, -849, -1401, -2089?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761600 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277 + -551\/2. Let g(q) be the first derivative of -3\/4*q**4 - j*q**2 + 0*q + 0*q**3 - 5. Find the second derivative of g(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:32 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189370313, 189370319, 189370325, 189370331?\nAnswer: 189370337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (-6 + (6 - 4))) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2838 = 2*d - 2844, l + d = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1742, -1732, -1716, -1694, -1666, -1632?\n\"Answer: 3*i**2 + i - 1746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:59 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49285 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: Let z(f) = f. Let p = 98 - 95. Suppose 37 = p*r + 25. Let c(g) = -5*g - 1. Determine r*z(i) + c(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 + 13*b**5 + 4*b**4*n - 18*b**2*n - 1036*b**2 wrt b.\nAnswer: 240*b**3 + 780*b**2 + 96*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*r - 1293*r + 532*r + 215*r.\nAnswer: -1726*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3970870 times -2?\nAnswer: 7941740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 4*n**2 - 2*n + 1. Suppose -4*z = z + 4*l + 3, 2*l - 18 = 4*z. What is the remainder when h(-2) is divided by (1 + 2)*(-2)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-2)\/(-6))*-36. Suppose 6*i - 2*i - c = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - 3*a**2 + a**2)*(-a + 4 - a - 7) + 1139*a**3 - 1218*a**3 + 1146*a**3 to b*a**2 + x + d*a**3 + j*a and give d.\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*-1)\/(sqrt(7) + (sqrt(112) - 2*sqrt(112)) + sqrt(112))*6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdodckcdk. Give prob of picking 1 k and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 934890 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (((-2*2*sqrt(2057) - sqrt(2057)) + 3)*-5)**2)*5.\nAnswer: -41250*sqrt(17) + 6429230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/135)\/(4\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37281, 37280, 37279?\nAnswer: 37278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -22, 0.1, -4, 1\/9, -0.1, -16788\/11?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0638 + 0.06378723. Round l to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 81 + 8*s**2 + 837*s**3 + 12*s**2 - 91 - 852*s**3 + 25*s = 0. Calculate s.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a098 (base 11) to base 4\nAnswer: -12312122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 547 + -547.3. What is the nearest to -1\/27 in 0.5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.3 (c) 6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 2*d**2. Let p(a) = 6*a**3 - 9*a**2. Let o(h) = -4*p(h) + 22*v(h). Let o(w) = 0. Calculate w.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by -398\nAnswer: 76\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - 123.2. Sort -0.3, 1, v, 0.1.\nAnswer: -0.3, v, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 2. Suppose k - 2*m = -12, 0*k + 39 = -4*k + 5*m. Let v(n) = -16*n + 11. Let p(s) = k*v(s) - 33*o(s). Give p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 58 + 4 = 0. Let o = 22 - p. Let s(l) = 0*l**2 - l - o*l**2 - 4 + 2*l**2 + 0*l. Calculate s(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2660 - 585 = t, 3 = t. What is the remainder when b is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -162. Let c be (2 - 1)\/(12\/180). What is the greatest common factor of k and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434840*j**4 + 3802*j**2 + 107 wrt j?\nAnswer: -10436160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - p = 64, -14 = -k - 4*p + 3 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/14)\/(9\/(-63)). Let i be ((-10)\/420)\/(z\/(-8)). Suppose 5*v = v + 4. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/5 (b) 48 (c) 0 (d) -1\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i*i\/(i\/i**(-3)))*i*i)\/i)*i)**(-22)\/(i*i\/i**(-1\/4))**(-25) assuming i is positive.\nAnswer: i**(401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 2316 = -129*f - 74*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k*(k\/(k\/k**6)*k)\/k))\/((k\/(k\/(k\/(k\/(k*(k\/(k\/k**(1\/2)*k)*k)\/k))))*k)\/(k**(-2)*k)) assuming k is positive.\nAnswer: k**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -227, -538, -973, -1526?\n\"Answer: r**3 - 71*r**2 + 25*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/63 and 25\/558873.\nAnswer: 558873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*l + 11 + 94*l + 94*l - 283*l.\nAnswer: -2*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*5\/45*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*k + 16, k + 2*k - 3 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/3)\/((-160)\/96). Put f, 994, 3 in descending order.\nAnswer: 994, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/110*9 - 10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 110*q**3 - 109*q**3 + 53*q - 17 + 49*q**2 - 9*q**2. Is z(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + -1 + sqrt(275) - -4*(sqrt(275)*4 + sqrt(275))).\nAnswer: -9 + 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + -1 + 4 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -10. Let h(f) = -f - 1. Let i be h(-4). Suppose -l - 6 = -i*q. Solve q*z = -2*d - 7, 3*z + 2 = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x + 0*x)*(49 - 142 - 247)*(89 - 79 - 45) in the form a*x + g and give a.\nAnswer: 11900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-24)*3\/(-2). Suppose 1 = 5*q + k*s, 2*q - 6*s + 4*s = 6. Solve 0*g = g - q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8452*l + 52 = 8434*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 26ab50?\nAnswer: 26ab53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -8. Suppose j = 2*t - 25. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687588 is divided by 223958.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2 - 2*n + 2) + (-4 + 1 + 4)*(-4 - 2 + 3)*(-84 + 50*n + 84) + (4 - 1 - 1)*(2*n - 5*n + 4*n).\nAnswer: -146*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -4. What is the nearest to -1\/3 in -2\/9, 2, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pulupuuuqpll. Give prob of picking 3 u and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutyttu. What is prob of picking 1 y and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**4 + 1295*b**2 - 6*b**3 - 1295*b**2)*(5 - 1 - 2) to t*b**3 + k*b**2 + u + a*b + d*b**4 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010 (base 2) in base 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - p**2 + 0*p**2 + 11 + 4*p**2 + 1 - 1 + (3*p - 5*p + 3*p)*(1 - 1 + p) + 5*p**2 + 0*p**2 - 3*p**2 + p**2 + 0*p**2 - 3*p**2 + (2*p - p + p)*(1 - 1 - p).\nAnswer: 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2346886 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/84 - (-6)\/18. What is the third smallest value in 17, -3, -0.4, g, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 - (1 - -2)). Let k(s) = 0 + o - 2*s**2 + 0. Let m(c) = 3*c**2. Determine k(m(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 988*z. Let j(w) = 4*w**2 + 231. Give y(j(r)).\nAnswer: 32*r**4 + 7648*r**2 + 334950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2323 times 19\nAnswer: 44137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 4, w: 1, j: 1, e: 7, t: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*d = -921*d - 156. Is 43 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-90)*30\/72*-3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 19*z - 518. What is the lowest common multiple of 56 and g(77)?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14293671.3 to the nearest one thousand.\nAnswer: 14294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3067323503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724863, -724864, -724865, -724866, -724867, -724868?\nAnswer: -724869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:27 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(70)\/((sqrt(20)*-3)\/sqrt(2)) - -4*(-4 + (sqrt(168)\/sqrt(6))\/sqrt(4)).\nAnswer: -17 + 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + sqrt(972) + 0 + sqrt(972)))**2.\nAnswer: 10368*sqrt(3) + 140544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:56 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10 and 93\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 0*b**3 - 105*b**4 + 7*b + 8*b**2 + 107*b**4 + b**3. Let v(k) = -k**4 - k**3 - 4*k**2 - 3*k. Let d(m) = -7*v(m) - 3*w(m). Factor d(n).\nAnswer: n**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*o = 5, -3*o - 13 = -n + 2. Let t(i) = n*i - 5*i + 8*i + 4 - 6. Let c be 1 - 0 - 1\/(-3 + 2). Determine t(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998\/20 - (-6)\/60 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5 - 5)*(228 + 82 + 101) + p - 4*p + 5*p.\nAnswer: -820*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 135*m. Let c(q) be the third derivative of q**4\/24 - 60*q**2. What is v(c(y))?\nAnswer: 135*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggyegteeggeyegegeg. What is prob of sequence egg?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*j - 8989 = -1093 + 3940 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 79.28. Let d = -0.3988 + 0.118928. Let y = p + d. Round y to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374877 and 4422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2607, 3297, 3987, 4677, 5367, 6057?\n\"Answer: 690*b + 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 4*f + 3. Let i = 39 + -42. Calculate the remainder when v(i) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g + 16*g - 4*g + 3 - 34*g. Let q be (4\/6)\/(4\/18). Let s(u) = 2*u - 4. Give q*a(r) + 2*s(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n - 1. Let a be n\/9 + 2\/(-6). Factor a*r**3 + 0*r - 1\/4*r**2 + 1\/4*r**4 + 0.\nAnswer: r**2*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**6\/30 - g**5\/4 - g**4\/4 + 3*g**3\/2 - 15*g. Factor s(v).\nAnswer: -v*(v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwff when four letters picked without replacement from wfljjjjifili?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 149600?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -38559, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -273760, -547577, -821406, -1095253, -1369124, -1643025, -1916962?\n\"Answer: -j**3 - 273810*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*-2*-3 - 1. Let n = -8 + 4. Let k be (-1)\/1 + 1 - n. Solve k = l*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82241 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 408*n**3 + 804*n**2 = 0. What is n?\nAnswer: -134, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38202846 less than 7.6521?\nAnswer: 38202853.6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - z = -1062 + 1070, -40*h + 35*h - 3*z - 20 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**5 + 2*m**3 - 7*m**2 + 2*m - 2. Let j(o) = -o**5 + o**3 + o - 1. Let x(v) = -2*j(v) + p(v). What is the third derivative of x(t) wrt t?\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(1\/((-9)\/198)))\/((2580\/5)\/(-6))?\nAnswer: -2\/473","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {x: 2, r: 3, f: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.8. Let g = -2611 + 2607. Sort g, 10\/3, d.\nAnswer: g, d, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 22*s - 4*s - 22*s + 1496 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70593, 564896, 1906587, 4519356, 8826893, 15252888, 24221031, 36155012?\nAnswer: 51478521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524341, -3048692, -4573043, -6097394?\nAnswer: -7621745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18526486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15714, 183, -6 in decreasing order.\nAnswer: 183, -6, -15714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -152476 at most -152467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 + 0 = 3*z, -3*z - 28 = 2*o. Sort 0, o, -13, -46 in decreasing order.\nAnswer: 0, o, -13, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1470)*-1 + sqrt(1470))\/(sqrt(54)\/(6*sqrt(9)*1)).\nAnswer: -126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1520*j + 886 = -83*j + 187*j + 20710 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*f**3 - 88*f**4 + 85*f**4 + 2*f**2 as r*f**4 + n*f**3 + d*f**2 + s + i*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 4*l + l + (0*l - l + 0*l)*(-2 + 0 + 0) + (19*l - 97*l - 2*l - 113*l + 25*l)*(1 - 3 - 3) to the form i + n*l and give n.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18 times -4.6?\nAnswer: 14.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1258*p**2. Let a(j) = 13*j. Determine n(a(r)).\nAnswer: 212602*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) - sqrt(3)*-1)**2 - (5 + sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: -2*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 26159372?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from pbbbbbpbbnynbbpyn?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8892 divided by -342?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from {f: 1, l: 6, a: 3, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 2156469356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*z + 21, 76*z = -o + 78*z + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = -3*o + 2*p, -10 = o - 3*p. Let f be 30\/18*(-144)\/(-270)*(-3)\/2. Which is the third biggest value? (a) o (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94296 and 2040.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 652 = -63 - 167 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 33. Let h = 3 - w. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -230, -212, -194, -176?\n\"Answer: 18*c - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -23. Let p(q) = -59*q + 1 + 60*q + 4*q**3 + 3*q**r + q**2. Determine p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.346355\nAnswer: 0.2424485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 87. Let h = 2 + d. Let i = 9 + -5. Solve 2*c + 2*j + h = 0, -c + 0*j + i*j = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p**9)\/(p**1)**(-4) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - 54*k**2 + 14*k + 12. Give c(17).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/145676 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)*i*i*i\/(i*i\/i**(-2\/13)*i*i)*i*(i**1)**(-13\/3)*(i**(-2\/3))**(1\/22)*(i\/(i**(-2\/5)\/i*i))**(7\/5) assuming i is positive.\nAnswer: i**(-19868\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4833*v**5 + 145*v**3 - 1532153*v**2 wrt v?\nAnswer: 289980*v**2 + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35456?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 = v - 21, -6*v = -c - 37 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -239. Calculate the remainder when h is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*d**2*o**3 - 9*d**2*o - 13*d**2 + 4*d*o**4 wrt o?\nAnswer: -198*d**2*o + 48*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 3. Let m be (-6)\/(-10) + (-6)\/(-15). Let a(h) = 6*h - 6. Let y(j) = j + 1. Let i(p) = m*a(p) + y(p). Determine -11*b(v) + 6*i(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 4*n**2 + 4*n**2)*(-n + 8*n - 11 - 9*n).\nAnswer: 4*n**3 + 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 506517421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = p, 0*p - 8 = 3*v + 5*p. Let c be -5*(-2 + v\/(-5)). Let y be -120000*(0 + 0 + c). Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10*7\/((-42)\/(-4)))\/(7447\/(-10155))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 12*v**2 - v**3 + 3*v**4 - 8 - 3 in the form h*v**4 + w*v**2 + s + m*v**3 + l*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2. Let t = -106 + 219. Let b(m) = -236*m + t*m + 117*m. Give b(w(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 + 956*m**2 + 181*m - 1919. What is w(-191)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by -3391.\nAnswer: 375\/3391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -576 - -598. Let f(o) = -l - o**3 - 7 - 11 - 5*o**2 + 42. Calculate f(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.94 + -5. Let l = 0.0757 - 13.5157. Let x = l + f. Round x to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -542?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90774379.\nAnswer: 29, 1621, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 18}. Give prob of sequence llx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 999387.\nAnswer: -16\/999387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80) - (-5 + (sqrt(5) + 1 - sqrt(5))))**2 + ((6*1*sqrt(60))\/sqrt(12))**2 - ((sqrt(5) + -1 + sqrt(405) + -4)**2 + 2*sqrt(180) + 1).\nAnswer: -257 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - x + 7*x**2 + 4 + 10*x - 13. Let j(k) = k**2 + 2*k - 2. Let s(c) = -c**3 + 10*c**2 + 11*c + 2. Let h be s(11). Determine h*v(f) - 9*j(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 4, -0.1, -2\/7, -3\/670, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8875 - -8875.3. Which is the closest to 0.2? (a) -3 (b) 957 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8907 + 26709 - 8902 + h - 8902.\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 26731*i**2 + 160359*i - 240525.\nAnswer: (i - 26725)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 820079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7440220 and 89\/6.\nAnswer: 22320660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.35 - -31. Let m = x - 0.05. Let s = -0.4 - m. What is the closest to -0.1 in -0.5, -2, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (228 - 148)) + (42 - -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**3 - 1705*n**2 + 464*n - 53464. Calculate k(213).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/152*(-4*3)\/((-9)\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8794 is divided by 4396.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 110906.31 minutes?\nAnswer: 1848.4385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z - 1. Let a(m) = -6*m**2 - 7*m - 1. Let k(w) = -a(w) - 3*r(w). Let o be k(4). Let u be 2 - (0 + o\/36). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 880, 1762, 2644, 3526, 4408?\n\"Answer: 882*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9230316 divided by -111?\nAnswer: -83156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -26*k + 1094. Let v be d(42). Solve l = 2*w + 4, -w + 4*w + v*l = -13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/147 - d**6\/21 + 4*d**5\/35 - 2*d**4\/21 + 11*d + 3. Factor i(b).\nAnswer: 2*b**2*(b - 2)**2*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1 - 561*n + 389*n + 173*n. Let u be 10*-1*1 + 0. What is j(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*b - 175*b - 324*b - 351*b.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-32)*(-80)\/5. Find t, given that 32*t**3 - p*t**5 - 4*t**2 - 24*t**4 - 30*t + 16 + 25*t**4 - 13*t**4 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 32*j + 13*j**2 + 208*j.\nAnswer: 24*j**2 + 240*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 41, 87, 141, 197?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/((h*h**(-1)*h)\/h)*h*h**(-1\/31)*(h*h**(2\/137))\/((h**(-3\/13)*h)\/h) assuming h is positive.\nAnswer: h**(232610\/55211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51460 and 8359460.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -58. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 204996 = -4*s, -11*z + 7*z + s + 164022 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)\/(t*t\/t**(6\/5)))\/(t**(-1\/4))**(-48)*((t**(-3)\/t)\/t*t**(2\/5))**(11\/3) assuming t is positive.\nAnswer: t**(-443\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**3*r**3 - 4*p**3*r**2 + 100*p*r**2 + 86*r**5 wrt r?\nAnswer: 24*p**3 + 5160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1000000?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (-43)\/3. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(-5)\/(-25)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-6)*z*z**(-2\/5))**(-38) assuming z is positive.\nAnswer: z**(646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 227904 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/8, 0.049, -0.2 in increasing order.\nAnswer: -0.2, 0.049, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1086)\/5973)\/(5\/22). What is the nearest to -46 in v, 1, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4807 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from scdscdcssfsssscssss.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4799715 + -0.48. What is s rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(-2 + 2 - 3)*(3*g - 15*g + 5*g) in the form c + a*g and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 763 or 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2602 is divided by 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 19*v - 43. Let l be t(-16). Find the third derivative of 23*a**2 - 4*a**3 - 22*a**2 + 6*a**3 - l*a + 0*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*j + 10, 0 = -s - 0*j - 2*j - 5. Let a = s + -10. Is (2 - 59)*3\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 0.3, -10, 712, -1, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563797 is divided by 946?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*6\/155*26*(-70)\/546.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1434*o**2 - 1. Let l(v) = 6*v. Calculate q(l(b)).\nAnswer: -51624*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.2 - -4. Let g be (1\/(-7))\/(4*(-12)\/(-336)*-1). Which is the second smallest value? (a) j (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 6 - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, 0, 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -47. Let d = 29 + i. Suppose -d*q - 21 + 423 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13878, 29, 3, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -95895 divided by -9\nAnswer: 10655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (-17 - -3) - 10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15801030499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -128. Let h(m) = -4*m - 2. Calculate the remainder when s is divided by h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, 1 b, and 1 j when four letters picked without replacement from {z: 2, l: 3, c: 5, t: 1, j: 3, b: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(2\/4 + 0). Suppose 2 = 2*a + 4*l - z, 3*a + l - 25 = 0. Suppose 0 = -3*h + 4*b - 7, -2*b = 4*h - 5*b. Calculate the least common multiple of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -2*s**3\/3 - 5*s**2 - 8*s - 3060. Factor c(n).\nAnswer: -2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4*b**3 + 2*b**3)*(b**2 + 0*b + 0*b) + (-5*b**3 - 5*b + 5*b)*(-2*b**2 + 4*b**2 - b**2) - 2*b**4 + 2*b**4 + 2*b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/2935 and 17\/1341.\nAnswer: 3935835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g**(-3\/2))*g**1\/g*g*g*g**6*g**(-4) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p*p**(-1\/2))\/p)\/p*p)**(-1\/15)\/(p*p**5*p\/(p**(4\/9)\/p)))**(-5\/4) assuming p is positive.\nAnswer: p**(689\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 43. Let m be w(-31). Calculate the greatest common factor of 57 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:06 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-157\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 4*o**2 + 19*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -939.33470659 - 773.\nAnswer: -1712.33470659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28050 and 84150?\nAnswer: 84150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 102*h**2 + 2919*h. Let m(c) = 271*c**2 + 8757*c. Let q(v) = -3*m(v) + 8*p(v). Let q(d) = 0. What is d?\nAnswer: 0, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7740\/13 equal to -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -13488.\nAnswer: 6744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*z**2 - 1 + 2*z**3 + 2*z**4 + 299*z - 91*z**2 + 308*z to the form f*z**3 + k*z**2 + v + j*z + x*z**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxq when three letters picked without replacement from xkqkkbs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)**(-28))**(-8\/13) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, 2*u + 2*n = 70 + 86. Suppose -o = -2*o + u. Calculate the common denominator of 4\/11 and (-138)\/o + -4 + 3.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106140 + 106140 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*w + 1216*w - 4223 = u, 4*w + 26 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/144 and -1\/342?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-626*c - 183*c - 58*c - 128*c + 100*c)*(4 - 4 - 4).\nAnswer: 3580*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*x = -2*x + 1, 0 = k + 4*x - 7. Suppose 1192 = k*s - 497. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)\/u**(-4\/7))\/(u**0)**2 assuming u is positive.\nAnswer: u**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -148187678312 and -52.\nAnswer: -148187678364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*a - 106*a + 8. What is the remainder when 20 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -139, -140, -141?\n\"Answer: -b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11530770959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + (-426)\/(-10). Let d = m + -36. Calculate the highest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-9)\/5 + (-423)\/90\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336018072 divided by -4.\nAnswer: 84004518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -155d (base 16) to base 7\nAnswer: -21642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from {w: 2, s: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 5*w + 44. Which is the nearest to -1\/4? (a) -0.2 (b) -0.23 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 74. Let o = u - 22. Let t = 10 - o. What is the lowest common multiple of 24 and t?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*i - 22*i + 576 = 0. Let d be 0 + ((-30)\/4 - 1). Is d at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 15. Let q(t) = -4 - 2*t**2 - u*t**2 - 3*t - 4*t - t**3. Does 3 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:15 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + -1 + (106 + -23 - 41)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**6\/15 + 4*g**5\/5 + 10*g**4\/3 + 2*g - 345. Find b such that w(b) = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.1. Let r = 4 + p. Let g = -7 + 5. Which is the third smallest value? (a) r (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + a + 183 = 0, 4*q + 0*q - 5*a + 723 = 0. Let w = 364 + q. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 54*y**2 + 341*y + 102. What is c(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024081979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0*n - n)*(5 - 4 - 7) + 108*n - 85*n + 141*n + 51*n.\nAnswer: 203*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1196*m**2*q**3 + 14*m**2 - 83*m*q - 526*q**3 + 1128 with respect to m.\nAnswer: -2392*m*q**3 + 28*m - 83*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26614 + 26626. Solve -18*w + 14*w = v, 12 = -a - 4*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594876 is divided by 704?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3708 and 71\/281190.\nAnswer: 1687140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 + 2*u + 3. Suppose -40 = -5*z - 50. Let a be s(z). Find g, given that 2\/3*g - 1\/3*g**5 + 0 + g**a - 1\/3*g**4 + 5\/3*g**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*r + 4*o, -r - 2*o = 4*r - 102. What is the remainder when 35 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/1566*33 + (-1090)\/(-12).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 11*u - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - r - 5. Suppose 6*q - 3*q = 0. Calculate j(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/38 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*o = -k - 20, k = 4*o - 14. Suppose -k*q - 2*z + 3*z = -3, 4*z + 2 = 3*q. Let r be 2 + 2\/(-3) + 0. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801514?\nAnswer: 2, 3, 466919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-15))\/(-13 - (-21)\/(3402\/2178)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3727366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 16 + (34 + -112 - -78)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -10, -21, -36, -55, -78?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1269*z - 2 - 10910*z**2 + 2 + 10884*z**2 - 4*z**3 wrt z.\nAnswer: -24*z - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 15. Let r = 2 + 9. Let m be v(r). Let b(c) = -3*c + 4. Let x(q) = -5*q + 7. Give m*x(t) - 7*b(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1154, 4589, 10294, 18269, 28514, 41029, 55814?\nAnswer: 72869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f89 - -1?\nAnswer: 4f8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34647 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tetett.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let y be d(-1). Suppose 14*t = y*t + 852. Is t - 1 - (-24)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2770*i + 940*i - 1 + 3197*i + 3891*i.\nAnswer: 10798*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10801027168 minus -0.1?\nAnswer: -10801027167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4647*p*z - 38*p + 14*z - 7265 wrt p.\nAnswer: 4647*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 + t - 2. Let h(l) = -2*l**2 - 1. Suppose 0 = 35*s - 119 - 56. Suppose 4*u = -4*r - 24, 3*u + 3*r + 15 = u. What is s*h(a) + u*x(a)?\nAnswer: 2*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 623?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-12)\/9)\/(4\/(-6)). Let t(b) = 3*b**3 - 2*b - 11 + 0*b**3 - 10*b**2 - 5*b**v - 13*b. Is t(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - y - 7. Let t(h) = -3*h**2 + 8. Calculate -2*n(w) - 3*t(w).\nAnswer: -w**2 + 2*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 35*v**2 + 3*v - 4. Let x be g(2). Let u = x - 31. What is the remainder when u is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Let y = 60 - 60. Let z(v) = v + 6. Let p be z(-6). Solve p*j + r*j = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 39 = -3*v. Let m = -25 + v. Solve 3*q + q + 20 = m, 2*i = 2*q + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:19 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2490 and 3301657?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.3 (b) -1\/23 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 6\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19371951829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14148?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 9*n. Determine g(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:23 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14763 - 0.4.\nAnswer: 14762.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y**4 + y)*(57484 - 292*y - 57484).\nAnswer: 584*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -395\/348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/443 or 1?\nAnswer: 1\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 16*q + 2. Let j be p(16). Suppose 99587 = -j*a - 100413. Round a to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose m*o = -0*o + 124. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (130\/1696)\/((-2)\/149). Let t = g - -142\/53. Calculate the common denominator of t and -79\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*k + 7*k = 9, -m - 5 = -359*k + 355*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 8*d + 8. Let v be c(-7). Let j be -2*-1*v\/1. Suppose 11*s = 48 - 15. Solve -b + j = 0, -s*z = z + 2*b - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 14. Let u be m(16). Suppose -3*b - 1 = -4*i + u, -i - 2*b - 2 = 0. Solve 0 = 5*n - 20, i = f + 2*n + n - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50864 = -929*x + 349*x - 18736 for x.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/66 + 92\/506)\/(1\/(-21)). Let c(k) = -4*k**2 + 4*k - 2. Let q(u) = 3*u**2 - 5*u + 3. Let y(g) = -4*c(g) - 5*q(g). Calculate y(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oldlldddlllldod. Give prob of sequence olo.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -38*z. Let m(c) = 38*c. Let r(q) = -5*m(q) - 6*n(q). Let j(g) = 2*g**2. What is r(j(v))?\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2364 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4, -7\/2, -3, -1\/3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*n + 30, 0 = 2*z - 5*z + 4*n - 3. Let g = z - -10. Let o(a) = -a**2 + 5*a - 2. Let l be o(4). Calculate the highest common divisor of g and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -2)\/2 + 16. Suppose 13*w - 82 = x*w. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -66. Which is the smallest value? (a) 0.2 (b) s (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + p - 10)*(5 + 17 - 3 + (-3 + 2 + 3)*(-12 + 0 + 1)*(1 + 5 - 4)).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/3 + 14*c**3\/3 - 19*c**2 + 40*c\/3 + 112\/3 = 0. Calculate c.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20775 and 3300.\nAnswer: 914100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 6*h - 7. Let f be b(3). What is the common denominator of f\/((-42)\/135) - 1\/(-1) and ((-81)\/(-10))\/(-1) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 5. Let g(x) = x - 2. Calculate -3*b(w) - 5*g(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 + -8 + 234\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 + 13 + (0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -7*k**3\/6 + 3*k. Let g(j) = j**2. What is g(q(u))?\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**5 + 33*f**3*z - 2*f**2 - 49*f*z wrt f?\nAnswer: -180*f**2 + 198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {l: 6, t: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 110\/33 + (-2)\/(-3). Suppose -5 = 3*h - k*q, -2*h + 6*q - 15 = q. Let a(z) = 9*z - 10. What is the units digit of a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90329.5 and -0.3035.\nAnswer: 90329.1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670 is divided by 1669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1941.922 and -0.1.\nAnswer: 1941.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 16*y**2 - 14*y + 17. Let s be r(-15). Suppose -s = 3*q - 110. Let m = q + -36. Which is smaller: 2\/37 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10) + (-144)\/160.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/10)\/7)\/((-3)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301868?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u. Which is greater: u or -24\/29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7163*u**2 + 21355 wrt u?\nAnswer: -14326*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 + 2*g + 5. Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-1404)\/12))\/((-3)\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2977878243 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 773729781 + -2\nAnswer: 773729779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/3*8\/36)\/30)\/((-119)\/714)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165345 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(6)\/sqrt(3).\nAnswer: 5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 0, -86657, 4, -4, 2 in ascending order.\nAnswer: -86657, -7, -4, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1562067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193\/10 - -37\/2. Let o = 233 + -233. Let s = 2 + -2.4. What is the biggest value in s, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 648, 612, 574, 534?\n\"Answer: -d**2 - 33*d + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -4 + 0*b**2 + 1\/30*b**4 - 2*b + 1\/15*b**3. Let u(n) be the first derivative of d(n). Factor u(t).\nAnswer: 2*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n*n)\/n**(-1\/10))\/(n\/(n\/n**(2\/5)))**(-18\/7) assuming n is positive.\nAnswer: n**(149\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 481997 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2, -110, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 18*c - 126 = 0. What is the third derivative of 428 + c*n**2 + n**4 - 428 - 3*n**3 wrt n?\nAnswer: 24*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 12 = 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(49)\/sqrt(700) + -3*4*sqrt(7) + 5.\nAnswer: -119*sqrt(7)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.03 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2732297 centuries?\nAnswer: 327.87564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*u + 133. Solve 5*z - 8 - u = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-108)\/18)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276.41 + -276.31. Let g be 7\/(-5) + (0 - -1). Which is the nearest to t? (a) g (b) 5 (c) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 180. Let n be 4\/(-24)*-6 - (1 + 0). Let p be i(n). Is p\/24*8\/(-6)*31 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*f + 25 = 0, 5*f + 7 = 4*d - 13. Suppose 11 = 5*y - d*u - 34, 0 = 5*u + 20. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 5*r)*(-5*r + r + 3*r) + 0*r**2 - 4*r**2 + 3*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 8*k. Let y(i) = -8*i**2 + 33*i. Let t be 2 + (-5 - -5) + -4. Give t*y(o) - 9*c(o).\nAnswer: -2*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:34 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 6}. Give prob of picking 3 y and 1 n.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2110, -4273, -6440, -8611?\n\"Answer: -2*d**2 - 2157*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4956 and 24.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 2. Let f(p) = -6*p - 3. Let i be f(5). Let a = -83 - i. Let b = 54 + a. Determine v(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -633 or -625?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 100 = -4*f. Let y(u) be the second derivative of 2*u + 0*u**2 + 1\/6*u**3 + 0 + 1\/24*u**f. Solve y(h) = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35413 by 7.\nAnswer: -5059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 times 49.3?\nAnswer: 13902.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1629 - 1642.01. Let k = 13 + u. Let m = -0.00894 - k. What is m rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghyghhhzg. What is prob of picking 1 y and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -7, 2721, -6\/23 in decreasing order.\nAnswer: 2721, -6\/23, -0.4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**4 + 28*z**3 - 56*z**2 - 48*z.\nAnswer: 2*z*(z - 2)*(z + 6)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 622005.7 millennia in centuries?\nAnswer: 6220057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -542, -720, -1016, -1430, -1962, -2612?\n\"Answer: -59*b**2 - b - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5276731*i - 14681285?\nAnswer: 5276731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/24)\/(6\/(-16)). Let q = w - -7. Which is greater: q or -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 59 = 4*w, -h - 36 = -3*w + 4*h. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/1560 and 139\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 33 = -0*z + 3*z + 4*w, 3*z = -w - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 30*h**2 + 24*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257932 is divided by 653?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnr when three letters picked without replacement from {c: 1, r: 1, g: 4, n: 2, t: 3, l: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -279093 bigger than -279086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 155.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -426?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/7)*p\/((p*p*p**(-4\/3)\/p)\/p)*p**0\/(p**(-6)*p))\/((p**(-1\/3)*p\/(p*p\/(p**(5\/4)*p)))\/(p**(-5)\/p*p**(-5))) assuming p is positive.\nAnswer: p**(-277\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/9 + 115*m**4\/9 + 895*m**3\/9 - 5035*m**2\/9 + 1342*m\/3 = 0?\nAnswer: -11, 0, 1, 3, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050411 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*b**2 + 622 - 622)*(1 + 0 - 2)*(2*b - 5*b + b) in the form u*b**2 + g + y*b + i*b**3 and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109541 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*m**3 - 105*m**3 - 25*m**2 + 25*m**2 - 109*m**3.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3786329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3492)\/5238*(0 - 4*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 10*o + 11. Let i be ((-56)\/6)\/(-1*4\/6). Suppose -i*v = -22*v + 64. Calculate c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/15 - 155864*o**2\/15 + 10390*o + 311724\/5 = 0?\nAnswer: -2, 3, 77931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - (-4 + 2))\/1. Let o = -12 - z. Let t(g) = -2*g**2 - 25*g - 9. Let d be t(-12). Sort d, 7, o in descending order.\nAnswer: 7, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 621029943.7 to the nearest 10000.\nAnswer: 621030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -127. Let a(r) = r + 3. Let w be a(4). Let i = w - z. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**2 + 197. Let b(v) = -1787*v. Give r(b(f)).\nAnswer: -3574*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and -41\/364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from ltvttzllttzzzzzzzz?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - (4 + (-2 - -5)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -5*n - 96. Let b = -247\/6 - n. Put 1\/7, b, -2\/7 in descending order.\nAnswer: 1\/7, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*t - 339430, 336*f - 338*f + t + 135799 = 0. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 8*g - 12. What is z(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81719249 and 0.3?\nAnswer: -24515774.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -2 (c) 9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 14402*a + 14407*a - 27, 3*a - 47 = 4*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from qqdqiddidyidbq.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.122 (b) 0 (c) 1235 (d) -1\/5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 20. Let c = 7 - f. Suppose v - 3*p = -6085, c*v - 5*p + 2*p + 12185 = 0. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5 - (-2 - (0 - 2))) + 28.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, -5, -0.16, 16.44, -3\/2.\nAnswer: -5, -3\/2, -0.16, 2\/5, 5, 16.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 100435*g - 100440 = 0. What is g?\nAnswer: -20088, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2121 - -2126. Solve -11 = -u - 5*v + 5, -x*v = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/1)\/(-2))\/((-3)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21313 - -13?\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37263 is divided by 18626.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500 (base 10) to base 3.\nAnswer: 10102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from xaxxvxxxxvxvxxvvxxxx.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 2*g**3 - 2*g**3 - 113 + 3*g**3.\nAnswer: -6*g**3 - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jljsozj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 12?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 - (1 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 797246 and -18012.\nAnswer: 779234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11116354*o**3 - 2*o**2 - 7064788*o - 2 wrt o?\nAnswer: 66698124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - 0 - (-133 - (-96 + -22)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 4973032*z\/9 - 1657678\/3.\nAnswer: 2*(z - 2486517)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 40*q**2 + 19*q + 35. Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/107 (b) 3.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 c, and 1 i when four letters picked without replacement from uiucic.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 228*t**2 + t - 1. Let z(j) = j**3 + 4*j**2 - 13*j - 5. Let s be z(-6). Let d be p(s). Calculate the common denominator of 19\/22 and d\/8 + (-3)\/6*6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92295568373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 116, -10, -3, 3.\nAnswer: -74, -10, -3, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2*w + 1. Let c be d(2). Suppose -3*a = -4*f - 21 - 3, -4*a - f = -32. Suppose -a = 3*z - z. What is the closest to c in 1\/3, -1, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11e953 (base 16) to base 7.\nAnswer: 12656166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4231566 is divided by 133?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*a - 691, 0 = -53*a + 57*a + 5*o - 1391. Calculate the greatest common divisor of a and 1806.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96539 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 + 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpp. What is prob of sequence pj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {k: 1, q: 12, a: 3}.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1659419)\/18 + 13\/(-234). What is u rounded to the nearest 1000?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20445 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -788602, -1577198, -2365794, -3154390?\n\"Answer: -788596*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5206602 + -1?\nAnswer: -5206603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40362024*f*r*w**4 + 2*f*r*w**2 - 2*r*w**4 + 39*r*w**2 - r - 42*w**2 - 43 wrt w.\nAnswer: -968688576*f*r*w - 48*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13400*y. Let q be (-57)\/12 + (-2)\/8. Let p be u(q). What is p rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19*30\/1995)\/(((-6)\/(-2))\/9*-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/5676 and -89\/396.\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 14*t**2 - 5*t**2 - 2. What are the prime factors of c(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81560 by -5.\nAnswer: 16312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41927130*r**3 + 42522045 wrt r?\nAnswer: 125781390*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 793, 745, 665, 547, 385, 173, -95?\n\"Answer: -s**3 - 10*s**2 - 11*s + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(54\/(-6))*3\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 10) to base 11\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 11 = -160582*j + 160578*j, 6*j - 4*a + 42 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + b = 5, 0*y + 3*y - 4*b = -6. What is the nearest to y in 0.4, 0, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1077043696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.691 and -13618.\nAnswer: 91118.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 82551*x**2 - 41243*x**2 - 41309*x**2.\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 - 616?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4714?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 497360 and 124340.\nAnswer: 497360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3)*-1*4 + -4)**2*-5 - ((sqrt(300)*1)**2*5 + sqrt(12) + 0 + 0).\nAnswer: -1760 - 82*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/13)*l*l\/l**(-1\/6)*(l*l**(-5\/4))\/(l**(-2\/5)*l))**(-2\/23) assuming l is positive.\nAnswer: l**(-847\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 594214661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-1596))\/((-37)\/(-222))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = o. Suppose d + 0*d = 4. Suppose -6*v + o = -d*v. Solve z - 4*z + 8 = -2*n, v*z - 6 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -26*o + 2288. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7134583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.083 - -0.083. Let b = 48.00000044 + u. Round b to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85100556, 170201116, 255301676?\nAnswer: 340402236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163416*p**2 - p**3 + 160670*p**2 + 3*p**3)*(1 - 1 - 2)*(3 - 3 - 1).\nAnswer: 4*p**3 - 5492*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -52*v - 152 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.243*1.42.\nAnswer: -3.18506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/10 + l**5\/15 + 3*l**2 + 9*l. Let n(v) be the first derivative of t(v). Find the third derivative of n(m) wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2834\/39 + 2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 3476.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402677699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1885 + -2?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 16 + 52 = -2 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {x: 2, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 8651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 3 + f**2 - 2*f + 5\/4*f**4 + 2*f**3. Let b(c) = -4*c**3 - 5*c**2 - 2*c + 2. Calculate -6*b(n) - 5*w(n).\nAnswer: -n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + (-1208)\/(-1200) - 1. Let r(a) be the third derivative of 0 - 2*a**2 + u*a**5 + 0*a**3 + 0*a - 1\/60*a**4. Suppose r(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 3 (c) 53.463 (d) 4 (e) -5 (f) -8 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j = -1514 + 894 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3\/4 (c) 1.262 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 63 = -133. Suppose -16*g = -f*g - 560. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 4) in base 12?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9256 + 46437\/5. Let q = 31 - u. Sort q, -1\/2, -2.\nAnswer: -2, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 (base 12) in base 14?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368 - -362) + (1 - (-17 - -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**2 + 13*j**2 + 3*j**2 - 6 + 22*j**2 to the form x*j**2 + r*j + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**5\/2 - 35*a**4 - 10*a**3 + 805*a**2 + 25*a\/2 - 770 = 0.\nAnswer: -11, -7, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -2, 4 in descending order.\nAnswer: 46, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 7 - 1)*(-q**3 - 4*q**3 + 13*q**3) to the form v*q**3 + m*q + l*q**2 + d and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -996*w**3 + 59*w**2 - 29*w + 26 + 2026*w**3 - 1028*w**3. Give a(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1440\/259 or -1?\nAnswer: 1440\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9 and 17\/696?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-2 + 2)\/3. Let r = 5 + n. Suppose 0*s + r = s. Solve -s*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 98. What is the remainder when d(-15) is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*y + 2*h, -4*h - 9 = -3*y - 9*h. Suppose y*q = 12*q - 24. Let s(w) = 2*w - 15. Determine s(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2\/7*w**2 - 20\/7 - 18\/7*w = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1}. What is prob of sequence ll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1857, -1828, -1777, -1704, -1609, -1492?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 56 = 4*k - 5*a, 0 = -5*k - 3*a + 47. Suppose 4*c - k = 10. Calculate the least common multiple of 9 and c\/(5\/(-2)) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by -6*(-3)\/((-54)\/(-33)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + 3*sqrt(1584) + 2 + (sqrt(1584) + (sqrt(1584) + -1 + sqrt(1584))*-4 - (sqrt(1584) + (sqrt(1584) - sqrt(1584)*1)*4)) + -5)**2.\nAnswer: 240*sqrt(11) + 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 6*a + 9. Let w be g(7). Solve -2*z + z + w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**10\/50400 + i**9\/20160 + i**8\/3360 - i**5\/6 - 5*i**2. Let f(u) be the third derivative of k(u). Factor f(p).\nAnswer: -3*p**2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 41, 21, -17, -79?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/5 and -14\/93?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let q be (-2)\/(-2) + (-10)\/(9 + 1). Let r(y) be the third derivative of 0*y + 0*y**3 + 0*y**4 - 1\/30*y**5 - 4*y**2 + q. Give u(r(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*u**6 + 9*u**2 - 7*u.\nAnswer: -35400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222073 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c + 5. Let h be (3 - c)*(-5)\/(-4). Suppose -m + 2*g = 4*m - 20, 0 = -h*g + 25. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 14*y + 48. Let x be n(5). Solve 1 = -5*c + 2*l - x*l, -2*l = -4*c - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*75\/10. Let l be -3 - 2\/p*-5. Which is the closest to -1? (a) -2\/11 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - 1*(sqrt(40)\/sqrt(2) - sqrt(20)))*-3 + 2.\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 7*m + 11 = 0, 2*c + 2*m - 5*m + 71787 = 71788 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/7 - 42570*z**2\/7 - 978256*z\/7 - 4337448\/7 = 0 for z.\nAnswer: -21262, -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 298 = -3*o, 3*n = -3*o - 37 - 263. Let t be 3*(-1 - 0) - 27\/1. Let i = t - o. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -220, -1, -148, 3, 1, 4 in descending order.\nAnswer: 5, 4, 3, 1, -1, -148, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.3 + 121.3. Let t = p - 109.0059. What is t rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/2, 4, 0.09, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1184?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.182, -29, -5, -2\/227?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-460))\/((-1371)\/(-5484))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 2, z: 1}. What is prob of picking 1 z and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/5 + 2423*p**2\/5 - 291843*p - 2066715 = 0 for p.\nAnswer: -7, 1215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u - 12. Let o be w(2). Are 117\/4 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.7 - -98.3. Let b = k - 25. Let c = 100.00135 - b. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 6, 8 = 64*w - 65*w + t - 4*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 + 345.2. Let o = -9 - -10. Let y = 2 - 2.1. Which is the nearest to o? (a) -1 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (117\/(-45) - -3)\/(16\/12280760) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/30 + 10140*h**2. Let o(x) be the first derivative of 0*x**2 + 17\/3*x**3 + 0*x + 1. Calculate o(z(r)).\nAnswer: 68*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 5 - 1 + 4 - 21*v. Let n be f(-1). Solve 3*o - 2*g - 2 = 0, 2*o + 0*o - 4*g = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 35*d**3 + 675*d**2 + 820*d + 180 = 0.\nAnswer: -18, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 160800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 250\/8 - (-6)\/8. Suppose 67 = 5*o + m. Calculate the highest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u + 181*f - 186*f + 5 + 39, -4*f + 47 = 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*50\/20*-40*10\/(-5200).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 7:19 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/2415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfjjjkkffjjkj. What is prob of sequence jjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32800718 minus 0.728216?\nAnswer: -32800718.728216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -15 + (-18 - (0 + -9) - -6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 71. Let d = -22 + r. Let i = -0.07 - -0.67. Which is bigger: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - -171. Let p = t + -247. What is the closest to 1 in p, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 0.5, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 2203768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 457840 + -5?\nAnswer: 457834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11400 (base 5) to base 8\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, -0.0222, 23, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1863119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 12. Suppose -b + 4 = -k. Suppose -7*y + b = -3*y. Solve s + y*z - 1 = -5, 2*z = -s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - g + 4. Let w be q(-3). Let p = w - -5. Solve p*o - 5*m = 1 + 11, 0 = 3*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61174452 - -61114891.0015. Let q = 59548 + w. Let n = q + 13. Round n to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4803 is divided by 957.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 18*k**2 - 33*k**2 + 54*k + 24*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203121 (base 4) in base 16?\nAnswer: -18d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + 1 + 1. Let h(t) = t**3 - 6*t**2 - 2*t + 6. Let i be h(6). List the prime factors of i\/(((-6)\/4)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9697*f*n**2 + 7*f + 226*n wrt n.\nAnswer: 19394*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = n, 3*n + 2*w = 6*n - 4. Solve n*u = 5*m - 2, -2*u - 1 - 11 = 3*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3\/2 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v + 23*v + 1 + 4*v. Let x(r) = 13*r - 2. Let m(y) = -2*y. Let z be m(1). Calculate z*x(j) - 5*i(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 19*j + 6. Suppose -5*r + 0 + 9 = -4*c, 2*c = -5*r + 3. Let b(p) = -p - 1. Give r*x(v) + 6*b(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10)\/((-565)\/1695).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(75) - (1 + sqrt(75))*3))**2.\nAnswer: 240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 35 = -3*j, 0*z + 3*z + 2 = 2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - 77. Let d = -11548\/5 + 2302. Find the common denominator of (6\/w)\/(8\/(-544)) and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 842?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 1, i: 2, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*x**2 - 38990*x + 3545.\nAnswer: -5*(x + 709)*(11*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 + 1. Let c be j(2). Let l be (-54)\/c*(-10)\/(-3). Let p be (-3 + -1)*l\/8. Let w(b) = b**3 - b**2 + 1. What is w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 2*r. Let k be b(-2). Suppose -3*o + k = -3. Let h(s) = -5*s - 1. Let i be h(-1). Solve 3*m + 2*m = -3*n - o, -i*n + m - 22 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 542083.1ml in litres?\nAnswer: 542.0831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t + 50. What is y(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002122110 (base 3) to base 16.\nAnswer: ee32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, e: 1, h: 2}. What is prob of sequence eh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720047?\nAnswer: 271, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9398 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 215281553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.721 + 5.721. What is the nearest to -0.02 in -0.08, -1\/4, h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7383 is divided by 141.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 7, l: 8, k: 1}. Give prob of sequence fw.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 77*d**3 + 6*d**3.\nAnswer: -103*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-5) + (-216)\/180. Let p be y - 0\/(-3 - (-5)\/1). Which is the closest to 8? (a) 1\/5 (b) 4\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 11. Let m be (3\/8)\/((-9)\/t). What is the closest to m in -0.1, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -537?\nAnswer: -537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21930 + 21944. Solve 24 = a*r - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4 = 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 966*i**2 + 2.\nAnswer: -966*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5263 and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/3 - d**2\/2 - 3*d. Let g be z(-2). Solve 0 = -0*r - 5*r + g*v - 8, 3 = -2*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, 0, -0.07, -1782?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*p - 179*p - 24 = 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 1, l: 2, d: 9}. What is prob of sequence lfd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 355*q**2 + 250*q + 7000.\nAnswer: 5*(q - 70)*(q - 5)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -924501.06 and -0.3?\nAnswer: 277350.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -691*b - 5323. Is d(-132) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6baa8b0a + -2?\nAnswer: 6baa8b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-130) + (-184)\/182 - 0?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2732038 and -15\/358?\nAnswer: 489034802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 13 = -4*m + 35*b, 4*b = -2*m + 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/v**(-1\/3)*(v**(-5)\/v)\/v**(-5\/3) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h**3*i*q + 2*h**3 + 46*h**2*i*j*q + 7*h**2*i*j + 4*h**2*i - i*j*q wrt q?\nAnswer: 6*h**3*i + 46*h**2*i*j - i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-10)*1\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 27 = 9. Let z = 14 - i. Suppose 4*t + 24 = z*t. What is the remainder when 46 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6196 - 14698. Let v be ((-7)\/((-140)\/221955))\/(3\/8). Let u = k + v. Round u to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -549*q**4 + 2*q**3 - 21*q - 63855 wrt q.\nAnswer: -2196*q**3 + 6*q**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 3. Give i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 16. Give c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1419 + -451.\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + 35. Let l = w + -27. Let i = -54 - l. What is the remainder when 79 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 11 - -9 - (-81 - 2)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41103812*l*m**2 + 4*l*m + 33608*l - 5 wrt m.\nAnswer: 82207624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -134, -210, -308?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -54?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -2\/15, -3, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.22 - -2.62. What is the fourth biggest value in -5, -0.3, a, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + v)*(-1 + 0 + 2)*(5*v**3 - 3*v**3 - 2*v**4 - 4*v**3) + (0 + 0 + v)*(-v**4 + 4*v**4 + 0*v**4) + 0*v**5 + 2*v**5 + 2*v**5.\nAnswer: 5*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/13 + 524*p**4\/13 + 13878*p**3\/13 - 10964*p**2\/13 - 21680*p + 278400\/13 = 0. Calculate p.\nAnswer: -232, -30, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253130762 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-2*a**4 - 2*a**4 + 2*a**4)*(5 - 2 - 5)*(-6 + 5*a + 6).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*q - 7, 2*v - 1 = q - 2*q. Is -1*v\/((-4)\/932) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*5\/(-10) + -3. Let p(o) = o**3 + 8*o**2 - o - 4. Let g be p(-8). Let l be y*(16\/g + 0). Which is the smallest value? (a) -3 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*4 - (sqrt(35)\/sqrt(5)*-5)**2 - (5 + 3*1*sqrt(7)*-3).\nAnswer: -180 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 746006.3l?\nAnswer: 746006300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30602 and -6.87.\nAnswer: 210235.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 11:29 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/3, 71, -710, 5 in decreasing order.\nAnswer: 71, 5, 3, -1\/3, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 9.254\nAnswer: 0.9254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10231.0454 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001956001 to five decimal places.\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25845261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*-3)\/(15\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 32 = 2*k. Suppose 5*y - l - 466 = 0, l = y - k - 78. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/3*(-1152)\/432.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from vbivpviiipb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9417 = -p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 + 4.7. Which is the biggest value? (a) 5 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 63.90798 years?\nAnswer: 766.89576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547 (base 15) to base 2.\nAnswer: 10010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10823.\nAnswer: 79, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 11}. Give prob of picking 2 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 2\/9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -43. What is the units digit of (2\/(-4)*c)\/(21\/(-2072))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3087 - -5666. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228386?\nAnswer: 2, 114193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335730?\nAnswer: 2, 5, 131, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14902*g - 5*g**2 + 14902*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4411ea (base 15) to base 5\nAnswer: -1312300240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 23*q + 61. Give r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(832) + 0)*-1 - (1*sqrt(832) + 5 + (2*sqrt(832) - sqrt(832))**2 + 4)) + 1.\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -4 + 7 - (73 + (31 - 76))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12*g**(-1\/4)*g assuming g is positive.\nAnswer: g**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26477597 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - 5705*f - 34039. Calculate z(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1325324 (base 6) to base 8\nAnswer: -220064","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 6. Let z = 54.9 + -51. Let j = d + z. Is -0.1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 2261304?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1292\/8)\/(-5 + (-55)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941921887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 1. Let p be m(1). Suppose p - 14 = -r. Suppose -2*l - 4*o - 11 = -7*o, 2*l = o - 1. What is the least common multiple of r and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 7*z + 381. Let y = 131 - z. Suppose 6\/5*k**4 - 12\/5*k + 2\/5 - y*k**3 + 24\/5*k**2 = 0. Calculate k.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d. Let a(c) = -20*c**2 - 57*c. Give a(b(i)).\nAnswer: -980*i**2 - 399*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 2)*(-65)\/4. Suppose -y = 2*y - 4*r - q, 5*y + 4*r = 119. Let o = -5 + 50. Calculate the remainder when o is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*h = -24. Let k = 61 - h. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 14. Let q(w) be the first derivative of 0*w**2 + 1\/42*w**6 + 0*w**5 - 5 + 0*w**z - 1\/28*w**4 + 0*w. Determine d so that q(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (9 - (-17 - -13))) + 15 + 2 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/4 - 2*j**3 - 7*j**2\/2 - 6*j + 20. What is z(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/2529 and -20\/27.\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141.91 - -169.981. Let h = 0.071 - x. Let o = h - -28. Put -8\/3, -0.1, o in decreasing order.\nAnswer: o, -0.1, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/16241979 and 7\/2353910.\nAnswer: 162419790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510\/290*801\/(-171)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 3*m**4 - 2*m**4 - 3*m**4 - m**3 + m**3 + (0*m - m + 0*m)*(2*m**3 + m**3 - m**3) + 2*m**4 + 0*m**4 - 4*m**4 + 0*m**4 - 2*m - m**4 + 0*m.\nAnswer: -6*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227726 is divided by 386.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 6 = -5*z, -37011*z - 6 = -37009*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*t - 2 = 0, 2*t = 5*u + 19 - 32. Suppose 0 = -z - 5*s + 10, -3*z + 5*z = 5*s + 95. Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -9\/5, -1\/10, -2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/12 - h**4\/24 - 5*h**3\/2 + 1603*h**2 - 3*h. Determine z(5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20232*j + 141749. Calculate c(7).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29365460.\nAnswer: 2, 5, 17, 86369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtty. What is prob of picking 1 t and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/275 and -27\/100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*24\/(-9). Let b be 33 - (1\/1)\/((-141)\/(-564)). Solve -y = -4*g + 5*g - 6, 0 = d*g + 5*y - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0 - q**2 + 4 + 2*q**2 - q. Let x(h) = h + 6. Let j be x(-6). Let f be b(j). Calculate the highest common divisor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -85\/4. Let f be ((-4)\/(-12))\/(2\/48). Let i be (-2)\/f - 105\/(-196). Which is the closest to y? (a) i (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/3230136*-8194 - 10\/(-13).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*v + 1655*v - 333 - 47675 = 9976 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((1568\/42)\/28)\/(8\/(-12))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 + -127. Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -380569065*t*y + 20*y + 667439 wrt t?\nAnswer: -380569065*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g - 3 + 1 - 4 - 4. Let k be u(-5). Let z be 29*(10\/k)\/(2\/3). What is the highest common factor of 261 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 64 = -5*m + 43, -37 = -2*m - 5*c. What is the lowest common multiple of m and 77?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*c = 77184 + 99198, 0 = -3*d + 4*c + 176389. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*o - 1616, -902*z = -5*o - 903*z + 4051. Calculate the remainder when o is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.94. Let w = 10.94 - j. Let v = w - 14. Put -3\/5, -3\/2, v in ascending order.\nAnswer: v, -3\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 230869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -23, -23, 19, 127?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 371 = -3*z + 2264, -c - z + 1317 = 0. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 0.07. Let d = -0.05 - k. Which is the nearest to d? (a) 0.3 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-2))\/d*d*d*(d\/d**(-1\/4))\/d)**23 assuming d is positive.\nAnswer: d**(483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1203\nAnswer: 360.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 949931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3639, -4836, -6037, -7242, -8451, -9664?\nAnswer: -10881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i - 357 - 756 = 714 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 1 - (sqrt(22) + sqrt(220)\/sqrt(10))\/sqrt(2).\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32313233331 (base 4) to base 8\nAnswer: -16675775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - 3.5. What is the fourth biggest value in 0.3, w, 0.13, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -78 + 86 + -108\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*m + 43, -4*m = 5*o + 37 + 8. Let r = m - -52. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 10*c + 381. What are the prime factors of m(42)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4039 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.147 + 0.157. Let v = l + -0.009999769. Round v to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + 2*m = 7, 0 = -5*q - 2*m + 13. Solve -5*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22235, -44710, -67181, -89648?\nAnswer: -112111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 3, b: 3, r: 1, o: 2}. What is prob of sequence prp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2 + 2*f**3 - 5*f**3 + 6*f**3 - 3*f**2 wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*i + 6932, 5*g - 7*i + 5*i - 34712 = 0. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.516 - -2.5160003026. Round u to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2863 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 205?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let o be h(-5). Suppose -4*m + 5*z + 37 = -16, m + o*z - 8 = 0. Suppose -6*w = m - 42. Solve -4*j = -3*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-495))\/(70\/175)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5541 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.390816ml?\nAnswer: 0.001390816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -47*m - 35. Let b(z) = 94*z + 70. Let w(k) = -6*b(k) - 11*l(k). What is the hundreds digit of w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/6 + 4*t**2 + 3*t. Let l be g(-6). Is (0 + 1)\/(l\/178) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4 - 21. Let b = 59 + z. Suppose 0*v = 3*v - 2*f - 37, v - 5*f - b = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -437474, 4.\nAnswer: -437474, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -21. Suppose 8*d - b*d + 30 = -a, 4*a - 5*d = 5. Let j(v) = -v**3 + 23*v**2 - 19*v - 62. Let t be j(22). Put a, 1, -4, t in ascending order.\nAnswer: a, -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p - 38. Let i be m(-10). Let r = i - 180. Solve -r*g + 1 + 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*c + 278 - 278)*(-146*c**3 - 152*c**3 - 12*c**3).\nAnswer: -18910*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*m**3 + 348*m**3 + 0 + 0.\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*q + 564*q - a + 11 = 0, -6*q = 4*a + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 - 1579954*s + 1579954*s.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*u - 38 + 28, x = -3*u - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7167 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126640 - -126640.62677. Round s to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1861314 from -6.\nAnswer: 1861308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*s = 348, -s - 348 = -2*d - 0*s. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(2 - 2 + 1)*(-q + q - 5*q) + (-4*q + 3*q + 2*q)*(-4 + 2 + 1) + 2*q + q - 5*q + 19*q - 17*q + 25*q + (-4 + 3 - 1)*(3*q - 3*q - q).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429861 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2194103*g**4 + 265820 wrt g?\nAnswer: 8776412*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from lssjvsq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 - 3*z**2 + 3*z + 1. Let n be j(1). Let s(u) be the first derivative of 1\/2*u**2 - n + u. Calculate s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6561151.511 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 73.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 106 = 2*f - 0*y, 5*y - 209 = -4*f. What is the remainder when 222 is divided by f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 6*v**2 - 4*v - 5. Let p be x(-4). Let n be (-1 - p\/15)\/1. What is the nearest to -1 in 0.2, n, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9390 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1673, -1678, -1683?\n\"Answer: -5*a - 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34678, -34512, -34236, -33850, -33354, -32748, -32032?\n\"Answer: 55*f**2 + f - 34734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1239\/126 - 9)*3*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 33*w**2 - 35*w - 106. Let i be l(34). Is (-23220)\/i + 6\/(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 + 15*i**4 - 26*i**3 + 3*i**2 + 10*i = 0.\nAnswer: -1\/2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -18*l + 1. Let s(r) = 36*r - 2. Calculate -3*s(b) - 5*u(b).\nAnswer: -18*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k + 47. Let l(z) = -5*z + 16. Let r(b) = -4*i(b) + 11*l(b). Let j be r(-4). Let x = j + 27. Calculate the remainder when 42 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a - 7. Let v = 14 + -5. Let b be w(v). Let t(n) = n**3 - 4*n**2 - 10*n - 2. Let m be t(6). Solve -c - c - m = b*l, -l = -c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 31 - 6. Let y = a - -8. Suppose 0 = -2*m - y*m + 30. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose -2*l - 4*f = -22, -5*l + 35 - 10 = b*f. What is the tens digit of -2*l - (8 - 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, g: 2, i: 5}. Give prob of sequence ii.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*a + 424*a - 314496. Calculate the highest common divisor of 96 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*z + 82 - 82 + z + 0*z + z + (-4 + 1 + 2)*(-5*z + 4*z + 2*z) + 2*z + 0*z + 0*z + 6*z - 3*z - z.\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 852544 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(2)) + -4.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 118426?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 - (-10 - 3 - (-29 - -23)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 + 3*d**4 + d**3 - 3*d**2 - 2*d.\nAnswer: d*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -3 - 1\/3*l**3 + 0*l + 0*l**4 + 1\/5*l**5 - 1\/4*l**2 + 1\/12*l**6. Factor y(d).\nAnswer: d*(d - 1)*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*o - 248*o - 18 = 0. Suppose 0 = f - 1 - 17. Let d be 1\/(-4) + f\/8. Solve o*m = d*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:27 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008)*2 + (2*sqrt(1008) - sqrt(1008)) + -1)**2 + (-4*(sqrt(175) - (sqrt(175) + -3 + sqrt(175))))**2*1.\nAnswer: -552*sqrt(7) + 12017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 19404 = -15*f - 3*f. What is the greatest common divisor of f and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 + 3717*x**2\/4 + 16605*x\/2.\nAnswer: 3*x*(x + 9)*(x + 1230)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082275 is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96648\/84 + (-8)\/14. Round g to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*v = -5*w - 10, 4*v + 8 = -5*w. What is the closest to w in -4, -2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1008) - (6*(sqrt(1008) - (-1 + sqrt(1008))) + sqrt(1008)) - sqrt(1008)) - 2*(1 + sqrt(1008) - sqrt(1008))*-1)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -290*q**3 - 256066*q**2 + 3532*q.\nAnswer: -2*q*(q + 883)*(145*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 99\/6*(-10)\/(-3). Suppose 6*l + 245 = l + 12*l. What is the greatest common divisor of l and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 0*h + 0*h in the form y*h + q and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -497*f + 666*f - 2028 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 3, q: 2, y: 4, e: 6}. Give prob of sequence yeqe.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 12. Let g = p - -5. Find the second derivative of -5*x - 5 + 5 + 9*x + 5*x**g wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.4001 years in millennia?\nAnswer: 0.0374001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12796861 times -3?\nAnswer: -38390583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9903 + 69608. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -20*m + 310*m - 331 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*s**5 + 14*s**4 - 954*s**3 + 12240247*s**2?\nAnswer: -1380*s**2 + 336*s - 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let r(i) = -10104 + 10104 + 8*i. Suppose 0 = -2*d - 0*p - 5*p - 13, 4*d + p - 19 = 0. Suppose -4*j + 2 = d. Determine j*r(w) - 5*q(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -24 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 172\/7. Let q = 5\/21 + w. Is 1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) + -1 + 0. Let z = 2 - 0.1. Let i = z + -1.4. What is the nearest to d in i, 2\/11, 4\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -2\/9 (c) 1\/5 (d) 3740\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5455337, -10910667, -16365997?\nAnswer: -21821327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 1. Let w = 1145 - 1053. Calculate the lowest common multiple of w and g(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*h + 2*h**3 - 20*h + 1863*h + 0*h**3.\nAnswer: 2*h**3 + 1542*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 divided by 1?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 - 21*t**2 + 9185*t - 14. Let j(p) = -p**3 - 6*p**2 + 3061*p - 4. Give 2*d(k) - 7*j(k).\nAnswer: k**3 - 3057*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15318.696 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:18 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39168, -39162, -39156, -39150?\n\"Answer: 6*w - 39174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 54*i**2. Let o(l) = -5*l + 5*l - 8*l**2 + 15*l**2 - 8*l**2. Determine z(o(a)).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = 9*v. Which is the third smallest value? (a) 1\/4 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -115) + (1 - 2). Suppose 0 = 3*z + 14 + 229. Let h = o + z. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/16891 and -2\/7?\nAnswer: 16891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -80*g + 30 + 135*g - 3*g**2 + 33*g**2 + 5*g**3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/105*21\/(-36). Let z(p) = -p**2 - 2*p + 1. Let f be z(-2). What is the closest to f in 1, -3, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*s + 2672*s + 40522 = 52*s + 115142 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1377924 and 18.\nAnswer: 4133772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17 - 52*k**2 + 2*k - k + 16 - 16*k**2 + 67*k**2. Let m(r) = -2*r**2 + 3*r - 3. Let n be 2\/(-3)*(-6)\/(-4). Give n*m(u) + 3*x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 11. Let s be (6\/(-8))\/(d\/(-56)). Solve s*v - 5 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 231*w + 1145. Let z be s(5). Suppose 2*x = -3*x + 25. Suppose 0 = t + 5*r - 60, 0 = -0*t - 5*t - 4*r + 216. Solve x*p - z = -t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12*(-685072)\/94 + 6\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 351, 644, 937, 1230?\n\"Answer: 293*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 75, 149, 243, 351, 467, 585, 699?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 3*b + 4. Let k(m) = 8*m**2 - 26*m + 25. Let z be k(10). Let j = 560 - z. Calculate o(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 24*n**2 + 21*n**2 - 59*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758980726.\nAnswer: 2, 3, 4721, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3449, -3439, -3421, -3395, -3361, -3319?\n\"Answer: 4*r**2 - 2*r - 3451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb1b (base 16) in base 8?\nAnswer: -135433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -68981*d - 411. Let q(c) = 14*c. Give k(q(f)).\nAnswer: -965734*f - 411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(132)*3)\/sqrt(12)*4.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 9. Let w(b) = 3*b**2 - 9*b - 9. Let s be w(-1). What is the closest to x in 0.3, s, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 7*y - 6. Let b be q(14). Let s be 40\/32*b\/3. Suppose -10*v + s = -7*v. Solve -2*w = -0*p - p - 15, 0 = -5*w + 3*p + v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.584. Let m = 42.984 - q. Let d = m + -43.00000085. What is d rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 2*i, 0 = -2*i - 2*x - 2*x - 6. Let g = -12 + i. Find the common denominator of 37\/(g + -1 + 2) and -85\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 5\/2*y + 1\/2*y**2 = 0. What is y?\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*y - 21266 = -181*y. Solve y*s = 224*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**2 + 5595277*r - 11190572*r + 5595295*r.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*u - 2 - 17*u + 21*u to the form y + p*u and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 185266241?\nAnswer: 185266241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 38 - 54 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*l - 46327 = -128*l + 44168. What are the prime factors of l?\nAnswer: 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x + 23*x - 56*x + 17*x + 43*x**2 to the form n*x + s + z*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26610 + -15394. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y)*(-3 - 2 + 4) - y + 3*y + 0*y + 4*y - y - 2*y - 5*y + 7*y + 6*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2. Let d be -5 + 8*(-6)\/((-36)\/6). Solve 0 = -3*o + d*k - 15, -r*o + 5*k - 23 + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257\/325 - -3\/325. What is the fifth smallest value in 0.1, -1.4, -1, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*q**2 - 2*q - 1 + 1 + 0*q.\nAnswer: -415*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 e when three letters picked without replacement from {z: 1, e: 2, s: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - 9*a + 48. Let g(b) = -b**2 - b. Let x(t) = 3*g(t) - u(t). Suppose s = 12*s + 187. What is the tens digit of x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*4*(-1)\/(-28)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(-2)\/(-2) - -11. Let g(b) be the first derivative of 0*b**c - 1\/3*b**3 + 3 + 0*b. Let w(u) = -2*u. Calculate g(w(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30*p**2 - 33*p**2 + 64*p**2. Let y(d) = -d - 36. Determine y(g(x)).\nAnswer: -x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/5 - 36*v**3\/5 - 63*v**2\/5 + 176*v\/5 + 204\/5 = 0. Calculate v.\nAnswer: -34, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*t + 98, 1600 = 81*a - 80*a + 23*t - 65*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {m: 2, d: 1, e: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 5, 79 in increasing order.\nAnswer: -69, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 21*j + 36. Suppose -10 = 5*m, 1924 + 4194 = j*t - m. List the prime factors of t.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = c - 4*w + 2, 3*c - 49 = -5*w. Let r(u) = 4*u - 5 - c*u + 9. Let l(h) = 0 - h - 1 + 2. What is -10*l(z) + 3*r(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 - f**3\/6 - 2*f**2 - f. Let w be t(0). Let g = 0.1 + -0.1. What is the third smallest value in w, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -26, -44, 4, 1 in descending order.\nAnswer: 27, 4, 1, -26, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 10}. What is prob of sequence mf?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -19887.1 to the nearest 100.\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -6. Suppose -r = -4*v + v + z, -5*r = -3*v + 9. Let b = v - -28. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:33 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-33))\/(228\/(-627)). Sort 0.4, -6\/7, -5, p, 1\/3 in increasing order.\nAnswer: -5, -6\/7, p, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60990 is divided by 803?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyycmymyz. Give prob of sequence yzc.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2)\/3 + 1810\/(-30). Let t = 44 + b. Is -2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (79\/20 - 2\/10) + -3. What is the fourth smallest value in -4, s, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 * -48\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 12*j**2 - 2*j + 14. Let h be m(-11). Let x = h - -97. Differentiate 7 - 44 + x*l**3 - 12*l**3 - 25*l**4 wrt l.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -13. Let z = u - -7. Suppose z = -2*p - l + 6*l + 25, 0 = -4*p + 3*l + 43. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*m**4 - 118 + 3*m**4 - 49 - 12*m + 10*m with respect to m.\nAnswer: -348*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + 48150\/35. Suppose -h = -2*l - 0*l. Suppose -3*v + l = 79. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 59, 207, 493, 959, 1647, 2599, 3857?\nAnswer: 5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14293237.804 - -20659.\nAnswer: 14313896.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -400, -403, -410, -421?\n\"Answer: -2*t**2 + 3*t - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2175 (base 13) to base 3.\nAnswer: 20101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 5*o + 23, 5*o + 31 = -2*i. Let t(c) = -7*c - 32 + 20 + 17. Let n(x) = -11*x + 8. What is i*t(v) + 5*n(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/83 + -287\/2822. Let o = 37\/102 + d. Let v = 3 - 0. Sort v, 0.6, o.\nAnswer: o, 0.6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -19.8, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 233*q - 152. What is the thousands digit of a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.036 + 2.964. Let k be (-2)\/(-3) - 8*(-95)\/(-330). What is the closest to -1 in k, 0.2, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-68)\/850)\/(6\/(-24) - (-18)\/40). Which is the second smallest value? (a) -119 (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 4*b**2 - b**2)*((b + 0*b - 3*b)*(1 - 3 + 1) - 3*b + 4*b + 27*b) to s*b**2 + w*b**3 + d*b + o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77.1 + -179.7. Let d = 257 + z. What is the biggest value in 0.1, -1, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = -37*z + 54. Let r = z - -19. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198548, 198600, 198744, 199028, 199500, 200208, 201200, 202524?\nAnswer: 204228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 56, 83, 90, 71?\n\"Answer: -v**3 - v**2 + 51*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911870 is divided by 13610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c + 605 + 48 = -49 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 6. Let x be b*(0 + 2\/(-4)). Is x <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a**5 - 46680*a**4 + 545435*a**3 - 1167645*a**2 + 909945*a - 240975 = 0 for a.\nAnswer: -595, 3\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b + 1. Let m(j) = -j**2 + 4*j - 5. Let h(o) = -o**2 + 3*o - 4. Let s(v) = -7*h(v) + 6*m(v). Let w be s(-2). What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -393\/4, 3, -8\/5, -0.004 in descending order.\nAnswer: 3, -0.004, -0.3, -8\/5, -393\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*y - 3*y - 692 = 0, 0 = -2*j + 2*y + 1372. Let d = 1433 - j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5*i**3\/6 + i. Let f be (-12)\/1*(14 + -16). Let p(u) = -5 + 25*u - f*u + 5. Determine w(p(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 15) to base 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2472, -2475, -2478?\n\"Answer: -3*n - 2469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let j be ((-7)\/((-63)\/(-6)))\/((-14)\/399). Let v(i) = 9*i - j*i + 4*i. What is v(f(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(99\/6))\/(5*2*(-347)\/1735).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7521316\/9 + 835702. Find b such that -8\/9 + g*b**2 - 2\/9*b**3 + 8\/9*b = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -82486?\nAnswer: 82475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 20.2, 3, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.35.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4307*g + 2876*g + 10017 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1133 + 2?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*44\/(-8) + 3. Let c(i) = 8*i. Let h be c(1). Let u be h\/60 - (-94)\/r. Let a(k) = k**3 + k**2 - 2*k - 2. Determine a(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2117.2 - -2704. Let g = x - 587. Put g, 3, 8 in descending order.\nAnswer: 8, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 1:59 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(3\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2 + x**3 - 1 + 10*x**2 - 8*x**2. What is a(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2949520 and 8050.\nAnswer: 14747600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3 - 0) + 3)*-1. Suppose -3*q + 24 = -f*q. Calculate the lowest common multiple of q and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914025093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150416 and 1176?\nAnswer: 56370384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 2.1 (b) 6\/59 (c) 6 (d) 0 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558589?\nAnswer: 31, 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*x - 75692, -35*n + 34*n + 25236 = 3*x. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*p + 3*f - 3*f + 10, 191*p - 186*p + 2*f = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -328, -25 in decreasing order.\nAnswer: 7, 1, -25, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 4*t + 4. Let f be m(4). Let a = -162.1 - -171.1. Sort -0.3, f, a in increasing order.\nAnswer: -0.3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 194, 275, 356, 437?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k**3 - 3*k**2 + k - 4. Let d = -18 - -14. Let r be a(d). What is r rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14949 + -14951. Suppose 0*o - 4 = -2*o. What is the fourth biggest value in 5, 2\/3, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-85) - 4 - (-126)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 473*g - 9908. Let o be p(22). Factor -o*y**2 - 11\/2*y**3 - 3 - 23\/2*y.\nAnswer: -(y + 1)**2*(11*y + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-9 + 0 + 22 + -45 + 21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1598205 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 119. Let l = p - 60. What is the closest to l in 5, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 24 - (-2 - 0). Let l be -3 + (-12 - 0) + -4. Let u = l - i. Let z(x) = x**2 - 3*x - 4. Determine z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 - 165785*n**3 + 5465115*n**2 + 11427605*n + 5796700 = 0 for n.\nAnswer: -1, 35, 33124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 + j**4\/4 - j**3\/6 + j. Let w be f(1). Let h = -273 - -1914\/7. Is w bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + 12. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 669 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)\/(f*f\/f**(1\/4))*(f**(2\/9)\/f)\/(f**(-5)\/f)*(((f\/(f\/(f**(-6\/5)\/f))*f)\/f)\/f**(-2\/9))\/((f**(-1\/2)\/f)\/((f\/(f**(1\/5)\/f))\/f)) assuming f is positive.\nAnswer: f**(683\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 14*n + 0 + 13*n + (-2*n + 1 - 1)*(-1 - 1 + 0))*(-5 - 5 + 5) to the form h*n + i and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let l = -0.5 - r. Suppose -3*o = n - 8, 12 = 5*o - 2*n + 5*n. Which is the closest to -3? (a) o (b) l (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9328)\/2120*30\/24.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 + 616\/(-980).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than 56993636?\nAnswer: 56993636.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-42))\/(-1 + -6). Let v(u) = -u**2 - 59*u + 320. Let l be v(5). Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14582553 and 582.\nAnswer: 14583135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + (-32)\/(-2))*(-140)\/(-30) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 24*v - 55. Let h(c) = c**2 - 6*c. Let x be h(6). Suppose 0 = -0*k + 4*k + 2*i - 110, k - 5*i - v = x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m - 22. Let r(g) = 2*g - 1. Let u = 13 - 7. Calculate the remainder when r(u) is divided by f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/3, -2\/9, 38, -4\/59?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - r**2 + 24 + 11*r - 10*r.\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 778220 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 - 34*p**3 + 1987.\nAnswer: 12*p**3 - 102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmrffcmmffmcf. Give prob of picking 4 m.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 956cb + -52?\nAnswer: 95679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 7*v. Let l be w(-6). Find the third derivative of -l*c**2 - 11*c**4 + 8*c**4 + 3*c**2 wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*p + 18 = 2*p, -2*p + 33 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19475 is divided by 9727?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.7 + -32.7002423. Round b to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (3\/15 + 12552\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101010000111001 (base 2) to base 12.\nAnswer: -1b1b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1502 - 6\/(-2 + -4). Let t = l + -859. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 8. Suppose -5*p - k + 85 = -p, j*k - 60 = -2*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 16 = 6120788*z - 6120786*z, -u = 5*z + 34 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*i*x**2 + 2*c**3*x**3 + 1004*c**2*i*x**3 + 2*c**2*x + 101*i wrt x.\nAnswer: 12*c**3 + 6024*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 20, -5*c + 14 = 8*h - 6*h + 6 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**7\/7 - 19*q**4\/12 - 16*q + 12. Let s(o) be the first derivative of g(o). Find the third derivative of s(r) wrt r.\nAnswer: -1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**4 - 427015*h**3 + 427025*h**2 + 427015*h - 427020 = 0.\nAnswer: -85404, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by (-13208)\/(-49530)*1\/((-2)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -112) + 237 + -276?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 0, 0 = 3*a - 2*a - q - 4. Suppose 3*u - a = 2. Calculate the greatest common factor of u and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138999842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -42, -73, -120, -189?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2134332 + 0?\nAnswer: 2134332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 4 + 4)*(18 - 7 + 22).\nAnswer: 66*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 + 2*m**3 + (-m - 2*m + 5*m)*(2*m**2 + 0 + 0))*(-16 - 11 + 3).\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 0.2, 2\/9, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4)*(-4 + 446 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:10 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54.1 + 51. Let s = 3 + c. What is the closest to s in 2\/9, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -20. Let y(m) = 9*m - 2. Let j be y(p). Let s be 15\/(-3 + j\/4). Solve -k = 3*h + 17, 4*h - k = -h - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (60\/9)\/5 + (-23)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.09 (b) 3 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffpshvfhffhvfhsphs. What is prob of picking 1 p and 1 f?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -106. Suppose 0 = w*h - 16*h - 25. Solve -h*i = -10 + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 20 + 32. What is the greatest common factor of 15 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1860 or 1861?\nAnswer: 1861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 5*x + 7 - 4*x + 0*x.\nAnswer: -2*x**2 + x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:14 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164240 and 197088.\nAnswer: 985440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -11. Let l be 3\/r + (-38)\/(-4). Let s be (0 + -12)*l\/(-16). Solve 0*a + 4*v + 4 = 4*a, -s = 2*a - 4*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1355 + 2940. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let s(l) be the third derivative of -l**5\/10 - l**4\/12 - 139*l**3\/6 + 106*l**2. Let v(j) be the first derivative of s(j). What is v(t(q))?\nAnswer: 36*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30146390 and 391903070.\nAnswer: 391903070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/5 + 30552*m - 305600.\nAnswer: 4*(m - 10)*(m + 38200)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 13. Suppose -5*o = -2*n - 28, 0 = -4*o - n + r - 0. Solve o*g + 2*x - 6 = 0, -g - 2*x = -2*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 + 9*u + 6*u - 5*u + 4*u - 8*u to the form t*u + q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2 - 246*l + 143?\nAnswer: 2*l - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 12*r**2 + 4)*(1 + 3 - 3) in the form x*r + n + w*r**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7931 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Does 47 divide (-30)\/((-2)\/28*q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 68*r - 4308. What is g(46)?\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*n + 73*d - 16*n + 1 wrt d?\nAnswer: 4*d*n + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 6\/23, -330.8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + (-16 - (-32 - -16))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 48742*c**3 - 4 + 48840*c**3.\nAnswer: 98*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846321 to the power of 1\/2, to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -338364 divided by -13\nAnswer: 26028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -n - 0, n = 5*o + 12. Suppose 0 = -k + n*k - 12. Suppose k*g - 78 = -4*i + 4*g, i = 4*g + 23. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1356, -1467, -1636, -1869, -2172?\n\"Answer: -i**3 - 23*i**2 - 35*i - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*a - 778 = 0, 208*a - 1478 = -2*g + 203*a. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -33. What is the remainder when 30 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 26. Let l(t) = 3*t - 27. Let m(w) = -4*k(w) + 3*l(w). Calculate the remainder when m(-9) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2071*f**3 + 636288 - 634671 + f**2 - f**2 wrt f.\nAnswer: -6213*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -26*f - 143. Let i be z(-7). Let l(a) = 37 + i - a + 45 - 127. Give l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13.8. Let x = -1.1 + h. Which is the third smallest value? (a) x (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 21538?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*x - 35, 5*s + 68*x - 10 = 71*x. Sort 5\/2, -1\/2, s, 0.06 in descending order.\nAnswer: s, 5\/2, 0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 832 - 735 + 640 + 10*i - 737. Let h(w) be the second derivative of 0 + 0*w**3 + 1\/6*w**4 + 0*w**2 - w. Determine h(p(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**2 + 4*y**3 + 10*y**3 + 14*y**2 - 10*y**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(sqrt(76)*-1 + sqrt(76) - sqrt(76)) + sqrt(76))*1)\/((sqrt(484) - (4*-1*sqrt(484) + sqrt(484)))*1).\nAnswer: -21*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 473*q**2 + 493*q + 3. List the prime factors of o(-5).\nAnswer: 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/11 + 8*h**3\/11 + 180*h**2\/11 + 648*h\/11 + 702\/11.\nAnswer: -2*(h - 13)*(h + 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -5 (c) -2\/3 (d) 4\/5 (e) -1.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/12)\/7*(-4)\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/5*z**2 + 52\/5*z + 0 + 4\/5*z**3.\nAnswer: 4*z*(z - 13)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 262*q**2 + q. Let h(g) = -8667*g**2. Determine j(h(x)).\nAnswer: 19680624918*x**4 - 8667*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/(-7))\/(-90))\/(7\/(-4)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14137493*q**3 + 1548865*q**2 wrt q.\nAnswer: -84824958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(98) - (-5 + sqrt(98) + (3 + sqrt(98) - sqrt(98))))**2 - (sqrt(98) + sqrt(98) + 3 + -2))*1 + 0.\nAnswer: -14*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6316 by -1.\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 28. Does 26 divide r(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14109007?\nAnswer: 11, 1282637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 1\/12*r**4 + 35\/2*r**2 + 17\/6*r**3 - 8*r + 0. Let z be u(-15). Solve 20 = 5*x + z*m, 3*x + 4*m = 6*x + 23 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*h - 3 = -4, -3*h + 3 = 0. Let j(m) = m**3 - 2*m - 3. Calculate j(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/7, 0, -1\/13, -3 in decreasing order.\nAnswer: 0, -1\/13, -1\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 6*k + 0*k + 2*k**2 + k**3 + 2 + 3*k**2. What is the tens digit of o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 728.3088\nAnswer: -4369.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6528 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85899 + 85896 - 171795 + 10749*l.\nAnswer: 10749*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 19, 5 in decreasing order.\nAnswer: 19, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s**2 + 353. Let p(i) = i**2. Give j(p(f)).\nAnswer: 15*f**4 + 353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 19*y = 182 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1026 and 2.\nAnswer: 2.1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7ee0c - da?\nAnswer: 7ed32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*c + 34*c + 65*c**3 + (3*c**2 - 2*c**3 - 3*c**2)*(-2 - 3 + 2) + 0*c**3 + 0*c**3 - 2*c**3.\nAnswer: 69*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + 0 + (2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 94, 124, 174, 250, 358?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 2, i: 11}. Give prob of sequence ssk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 e when three letters picked without replacement from lilleyjil?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820420*q - 2*q**2 - 820420*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 2 - -4 - 21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/60 - 5*j**4\/24 + j**3 - j**2. Let a be q(5). Let t = a - -13. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/26)\/(14658\/108888)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9 - 426 = 0. Suppose 3*a = 198 + 198. What is the remainder when a is divided by 58\/g + 55\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 10016*w\/7 - 12540032\/7.\nAnswer: -2*(w - 2504)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 - 7) + 1 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 2*n + 1\/18*n**3 + 1\/36*n**4 + 0*n**2 + 0. Factor m(l).\nAnswer: l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -137, -182, -193, -158, -65, 98, 343?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/((-30)\/(-60) + 187\/(-350))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.1. Let l = -15 - -12. Is l at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ababbababbba. What is prob of picking 2 b and 1 a?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*h + 227*h + 13960 = 0. Let v = h + -1434. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-6*sqrt(72)\/sqrt(6))*1 + 0.\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - b**4 + 20*b**4 + (2*b + 1 - 1)*(2*b**2 + 3*b**3 - 2*b**2) + 0*b**4 - 2*b**4 + 0*b**4 + (2 + b - 2)*(b**3 - 2*b**3 + 2*b**3).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a72 + -9e6?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35185 is divided by 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-46)\/(-12) - 4)\/((-249)\/(-9)). Let j = w - -55613\/498. Let q = 111 - j. Which is the closest to -3? (a) -1 (b) 3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**2. Let o(j) = -18*j + 1 + 2*j + 18*j. Let m(z) = z + 1. Let k(r) = 2*m(r) - 2*o(r). Calculate p(k(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 54, 64, 62, 48, 22, -16?\n\"Answer: -6*v**2 + 40*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -177.3. Which is the second biggest value? (a) 0.05 (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/80*((-6)\/(-14))\/(12\/70)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863, 1631, 2425, 3251, 4115?\nAnswer: 5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 808102 - 0?\nAnswer: 808102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -548\/5. Let j be (9 - 5)\/(14\/(-6)). Let x = j + 46\/35. What is the nearest to x in 0.2, t, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spsg when four letters picked without replacement from {s: 7, g: 2, p: 3, j: 5}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 146, 322, 558, 848, 1186, 1566?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2596 - 2113. What is the remainder when o is divided by 177?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5718525 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = 5*h, -6 = 2*x - 4*h - 18. Let p = x - 3. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m**5*s - 2*m**4*s**3 + 2*m**2*s**3 + 210*s**3 wrt m?\nAnswer: -2160*m**2*s - 48*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55262 - 381292 = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401 - -285. Let n = d + 117.8. Are n and 4\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/25)\/((-4)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttee when four letters picked without replacement from {e: 14, t: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -10. Let g = s - 4. Let k = g - -1. Solve -x + 6 = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -111*w + 7. Let v(j) = -40*j + 2. Let y(z) = 4*g(z) - 11*v(z). Let r(c) = 5*c - 7. What is -3*r(x) - 4*y(x)?\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (268\/402*18\/184)\/((-18)\/(-8))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6899 - -6902. Solve 7*m - b*m - 8 = 0, -4*m + 33 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) - 11*5\/45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1627518 divided by 3.\nAnswer: -542506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 11\/(143\/91).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1700)*-5*64\/16.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45586\/71 - 642. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24635 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 6, -1672\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (582\/(-12) + 48)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c = 28. Let a = 5 + -8. Let y be a\/(-6) + 13\/2. Calculate the highest common factor of y and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -13*y**7\/7 - y**4\/2 + 4*y**3 + y**2\/2 + 98. Find the third derivative of i(m) wrt m.\nAnswer: -1560*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*c - 19, -4*i + 2*c - 3*c = -25. Solve y = -l - 1, -1 = -3*y - 4*l - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 57. Put 19, k, -4 in decreasing order.\nAnswer: 19, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 257 - 514 + 4*a + 257. Let k(g) = -g. Calculate 4*k(z) - s(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0. Suppose -4*x = 3*s + 19, 5*x + 25 = -7*s + 2*s. Let r be 6\/(-4)*2\/(-3). Which is the nearest to r? (a) 1 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -113, -2, 47, 0 in descending order.\nAnswer: 47, 2, 0, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 6*i**3 - 2*i**3 + (-7*i + i - 4*i)*(-2*i**2 + 5*i**2 - 3*i + 0*i**2).\nAnswer: -28*i**3 + 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/5*v**4 + 9\/5*v**2 + 3\/5*v - 3\/5*v**3 - 3\/5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 13. Let i be r(12). Suppose 4*x + 16 = 4*j, 5*x = -0*j + j - 28. Let p = i - x. Calculate the remainder when 9 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 105*x**2 + 681*x - 40. What is m(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 160021163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pix when three letters picked without replacement from {i: 3, d: 1, p: 1, x: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - 2 - (0 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -355207.1 * -40\nAnswer: 14208284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g + 74*g + 5*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*h = -12, -4*q + 2*h - 3*h + 18 = 0. Suppose -3*y + 1 = q*i, -3*i = 3*y - 7*y - 7. What is the least common multiple of 18 and -16*i*(4 - 5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208.73 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 11) in base 9?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3*y - 21*w**3 - 84*w**2 + 14*w*y**4 - 10*w*y**2 wrt y.\nAnswer: -w**3 + 56*w*y**3 - 20*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 27. Let v(u) = -5*u - 5. Let s(z) = 0 - 12*z + 5*z + 6*z - 1. Give m*v(t) - 4*s(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 + 17. Let a be g(0). Let t = a + -20. Let k(u) = u + 7. Let b be k(t). Solve f + 4*z = 5*f, -b*z = 5*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/14 - 4*y**3\/7 + 11*y**2\/7 - 12*y\/7 + 43. Factor c(a).\nAnswer: 2*(a - 3)*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -1 + -9 + -6 + 7 + (19 - 26)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 6*z + 6. Let d be -4*(2 + (-4)\/8). Let g(h) be the second derivative of -5*h**3\/6 - 5*h**2\/2 + 2*h - 34. Calculate d*g(m) - 5*r(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -48*b**2 - 48*b**2 - 46*b**2 + 137*b**2. Let c(d) = d**2 - 131. What is l(c(n))?\nAnswer: -5*n**4 + 1310*n**2 - 85805","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1721 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459 = 3*d - 759. Let k = -279 + d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 + 3877*d + 3304180 = 0?\nAnswer: -2612, -1265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24494581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*i**2 + 535*i**2 - 2024*i**2 + 123*i**2.\nAnswer: -576*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 2*i**3 + 43 - 8*i**3 - 95.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/20 + s**4\/24 - s**2. Let j be u(1). Suppose 0 = -4*w + 3*n + 145, -2 = -j*n + 2. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - p**5 + 0 + (1 - 1 - p**2)*(2*p**3 - 2*p**3 - p**3) + p**5 - 2*p**3 + 2*p**3 + 13 + 89*p**5 - 72*p**5 - 18.\nAnswer: 18*p**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 6*w**2 - 2 + w**3 - 17*w**2 + 9*w**2 + 11*w**4 + 0*w**3 + 3*w to the form k*w + y*w**3 + f + a*w**2 + z*w**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvcvlvllll. What is prob of picking 1 c and 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/5 + 8*u**4\/5 - 28*u**2\/5 + 34*u\/5 - 12\/5 = 0. What is u?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 + 2*k - 8. Let v be g(7). Suppose s - 12 = v. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10434, -20874, -31304, -41718, -52110, -62474?\nAnswer: -72804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**14)\/(b**25\/b*b) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlna. Give prob of sequence na.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (2 - (-411762)\/(-13)).\nAnswer: 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178528449, -178528447, -178528445, -178528443, -178528441?\nAnswer: -178528439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 56 (b) -15 (c) -5 (d) -38 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189744 and 25488?\nAnswer: 1707696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 4)\/((-6)\/(-8)). Suppose 3*r - 291 = -3*o, o - z*r = -4*o + 449. Suppose -2*b + 38 = -3*u, 20 = -5*b + 2*u + o. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k - k)*(161 - 161 - 104*k).\nAnswer: 208*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/42 and -59\/14259?\nAnswer: 28518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c - 2736027 = 48*c. List the prime factors of c.\nAnswer: 137, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + 2*k - 2. Let o(p) = 3*p - 26. Let i(a) = a**2 + 6*a - 48. Let m(l) = 6*i(l) - 11*o(l). Calculate 3*m(s) - 4*q(s).\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 4264*s**3 - 4268*s**2.\nAnswer: 4*s**2*(s - 1)*(s + 1067)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 853 = -4*r - 225, 4*d = 5*r + 1352. Let s = r - -183. Let l = -46 - s. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 25765 + 17659 - 14014 = 0. Calculate the greatest common factor of 173 and q.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2273 = 3*j, h + 12*j - 9*j = -2249. Let z = -1147 - h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n + 24 = -70*n + 136*n. Let k = 5 - -45. Sort n, 4, k.\nAnswer: n, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 2*d + 4. Let o be y(-4). Let g(z) = z**2 + 5*z - 2. Determine g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4 + -1 + (-31)\/2. Is -2 - -388 - (15 + n) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212898 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2912)\/104)\/(5313\/33).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 890 (b) 2\/3 (c) 0.3142 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -44. Let n be ((-12)\/(-8))\/((-6)\/(-20)). What is the second derivative of m*k**3 - 4*k**3 + 4*k**3 + n*k + 0*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1430, -1410, -1390?\n\"Answer: 20*j - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100220 - -2?\nAnswer: -1100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-10)*-1*5. Let m = -3 - h. Solve -4*z - 16 = -m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -1\/2*l**3 + 0*l**2 - 15 + 2*l. Let f(s) be the first derivative of t(s). Let k(o) = 2*o**2. Give f(k(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 88 = 91 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*n**2 + 86*n**2 + 98*n**2 + 4*n + 149*n**2 - 3*n to j*n + l + z*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*69\/9660*(-9)\/(9\/2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 20. Give l(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q - 8. Let w be p(-6). Let g be 3\/(((-8)\/w)\/4). What is the remainder when (-1)\/(g + (-660)\/219) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 853659, 853659, 853655, 853647, 853635, 853619?\n\"Answer: -2*g**2 + 6*g + 853655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1b6?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422813581 + -1302265817597\/3080. Let s = -453\/77 + q. Calculate the common denominator of s and 2\/(80\/(-162)) - -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9161596 and 12?\nAnswer: 27484788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 792 - 367 = x + 374, -11*u + 296 = u - 4*x for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -385, -783, -1179, -1573?\n\"Answer: c**2 - 401*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-170))\/((4\/50)\/((-16)\/30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008553 to 6 decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 189?\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8, 4*q = -i + 2 + 2. Suppose 0 = 2*s, q*k - 452 = -2*k + 5*s. Suppose -8*a - k = -9*a. List the prime factors of a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33 and 0.1.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19751249 is divided by 797?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 829, 810, 791, 772, 753?\n\"Answer: -19*t + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*l**3 - 24 + 101*l**3 + l**4 + (0*l**4 + 6*l**4 - 3*l**4)*(-1 + 2 + 1).\nAnswer: 7*l**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y - 4 = 0. Let w = -0.16 - 8.84. Let s = w - -4. What is the nearest to 1 in 2, y, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269 - -274. Let p(c) = 2 + 0*c - 2*c - 28555*c**2 + 28556*c**2 - x*c. Calculate p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 3*w - 57 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 734107 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 the common denominator of 43\/24 and 29\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwkgk. What is prob of sequence mwg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 2. Let y = 13 - 6. Let j(l) = -l**2 + 7*l - 4. Let b be j(y). Let q = b + 2. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 28*f - 134. What is the least common multiple of 5 and j(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/858 and 5\/702?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = 8. Suppose 5*w = -42 + q. Let j = -2 - w. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 11d7?\nAnswer: -11d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnivivvniviivuvivv. What is prob of picking 1 u and 2 n?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4183.5 - 0.2.\nAnswer: 4183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -74*v**3 + v**2 - 21*v - 21. Let x be y(-1). What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -6, -26982 in ascending order.\nAnswer: -26982, -6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 3. Let x be -1*(2 - 0) + 4. Suppose h + h = x. Let c be (0\/(-1))\/(-1 - h). Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22695014 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947784.4 micrometers to kilometers.\nAnswer: 0.0009477844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87114 bigger than 87115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**4\/24 + 3*o**3\/2 - 6*o**2 - 2*o. What is a(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**10\/100800 - s**8\/4480 - s**7\/1680 + s**5\/60 - 4*s**2. Let f(v) be the third derivative of b(v). Factor f(h).\nAnswer: 3*h*(h - 2)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d. Let t(c) = -12*c - 2. Let a(l) = -22*l - 5. Let g(w) = 2*a(w) - 5*t(w). Give g(h(u)).\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 39562?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 286952372 - 286952357.9999989. Let h = t + -14. Round h to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 + -1.9. Let o = n - -11.8. Let u = o + -13.9. Round u to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 18 = 166. Let m(y) = -2*y - 10. Let w(x) = -1. Give z*m(p) + 40*w(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x + 40, -790*m + 2*x = 789*m - 1580*m - 41 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*c + 39, -4 - 17 = -t - 3*c. What is the smallest common multiple of 27 and t?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130094, 130101, 130110, 130121, 130134, 130149, 130166?\nAnswer: 130185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let w = -10 - -9. Let l(n) = -4*n**2 + 12*n - 20. Let z(t) = w*l(t) + 4*y(t). Factor z(h).\nAnswer: 4*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let a(p) = -3*p**2 + 8*p. Let y = -38 - -74. Let n(w) = 39*w - 76*w + y*w. Let v(q) = -3*a(q) - 24*n(q). What is v(d(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3990 - (-4 + 1)) + 21 + -16 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114, 234, 340, 426, 486, 514, 504, 450?\n\"Answer: -z**3 - z**2 + 130*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13097958.\nAnswer: 2, 3, 2182993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 184851?\nAnswer: 184854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2001187*a**4 - 1485562*a wrt a.\nAnswer: -24014244*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -8. Let j be k\/(-16) - (-2)\/(-16). Let m = 609 + -609. Which is the nearest to m? (a) -2\/7 (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71\/140 + -7\/20. Which is the third biggest value? (a) -0.04 (b) -1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let y(x) = 360 - 719 + 12*x - 2*x + 359. Give y(w(d)).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -157731 * -246\nAnswer: 38801826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + (-21)\/28. Let w(b) be the first derivative of -1 + 0*b**2 + 0*b - c*b**4 - b**3. Find the third derivative of w(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -198 + -943?\nAnswer: -b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 1 + 4*f**2 - 2*f**2 - 2. Let d(h) = 2*h**2 + 5*h - 2. Let k(c) = c**3 - 26*c**2 - 24*c - 78. Let t be k(27). Calculate t*y(l) - 4*d(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 2*l + 11, 53*t + 36 = 57*t + 12*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252831.\nAnswer: 3, 71, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 140102224.6 to the nearest 100000.\nAnswer: 140100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/162*(-12)\/(-126)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20697 * -3.11\nAnswer: 64367.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330231 + 1012?\nAnswer: -1323213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r + 531. What is j(38)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87726119 and 6748163.\nAnswer: 87726119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 - h**4\/4 - h**3\/3 + 9*h**2 + 2*h. Let w be (5\/(-15))\/(-4 + 366\/90). Does 4 divide c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4312 and 501336?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/(2\/((-150)\/(-9)))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 5*d - 3*d + 3*d - 35*d**2 - 4*d. Let x(g) = g**2. Give x(w(s)).\nAnswer: 1225*s**4 + 560*s**3 + 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y**(-27)*(y*(y\/y**(-22))\/y)\/y**(-3\/11))**(4\/17) assuming y is positive.\nAnswer: y**(12\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 37*k - 33922 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let j(i) = -2*i - 8*i + 3*i. What is j(k(t))?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*q + 122*q - 249*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 4 (b) -28\/2491 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 600924?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 - 29 - m - 109.\nAnswer: -m - 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -4, -7\/3, -162\/11, 2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 5*h - 11. Let x be b(-7). What is the first derivative of 6 + 202*m - 202*m + 12*m**x wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 22. Suppose -5 = y - 4*p - x, -4*y = p - 39. What is the greatest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724122587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4824 + 3677. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1083 by 361.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34.06 times 1234\nAnswer: 42030.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, 2\/23, 0, -0.08, -2.87, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1645533, 1645854, 1646177, 1646502, 1646829?\nAnswer: 1647158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24*116068\nAnswer: 2785632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -6, -15, -28?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-20))\/(-1))\/1*5\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2 = -3*q + 4*m, -q - 2*m - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 + 0 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472\/(-40)*(-95)\/3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = -4*t, -2*y = -4*t + 7 + 5. Suppose y*d - 6 = 2*d. Let h be d\/(3\/4) - -2. Let i(q) = -q - 2. Give i(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010100 - 101?\nAnswer: -1110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -13 + 3. Let i(d) = d**3 + 3*d**2 - 2*d + 1. Suppose -z - 28 = -5*z. What is the remainder when i(n) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/24*(-23)\/(-46). Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d**3 + 2*d**2 + 1 + 2*d**3 - 6. List the prime factors of i(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - x**2 - 10*x**3 - 4*x**4 - 32*x**3 + 1 + 10*x**3 in the form v*x**3 + f*x + m*x**4 + o*x**2 + u and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 204, -7, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-24)\/100*(-1)\/((-9)\/(-45))*10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let b(z) = -32*z - 14. Calculate a(b(q)).\nAnswer: 1024*q**2 + 896*q + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4906.3251739 - -4.8.\nAnswer: -4901.5251739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/7 + 3498566*w\/7 - 17492880\/7 = 0.\nAnswer: -1749288, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:02 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2572 - 4162 = -37*u. Sort -4, u, 5 in decreasing order.\nAnswer: u, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(528))\/((sqrt(110)*-2)\/sqrt(10) - sqrt(11)).\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75161473.\nAnswer: 19, 53, 101, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + 0) - (0 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from rbbrvrrrrrbbv.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24759*h**4 - 248392*h + 1?\nAnswer: 297108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2 - 13*n - 9. Let q be s(-8). Let g = -13 - q. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14360, 31450, 48538, 65624?\n\"Answer: -i**2 + 17093*i - 2732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13 - 19 = 0. Let s be (0\/(-50))\/(3*4\/6). Suppose w - 32995 = 5*a, 5*w - 7 + u = s. What is a rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 4*j**3 + 91 + j - 286 - 7*j**2 + 96 + 3*j**2 + 92. Let c(u) = u**3 + 4*u**2 - 4*u - 2. Let a be c(-5). Let f = 12 + a. What is x(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 31*c + 21*c**3 - 86*c**3 + 2*c + 64*c**3 + 39*c**2.\nAnswer: -c**3 + 39*c**2 + 33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(32\/4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 5) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-150)\/(-12))\/5)\/(46\/(112056\/(-210))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 9. Let r be t(4). Let v(j) = 244*j + 4. Let q be v(r). Let o = q - 7403\/6. Calculate the common denominator of 38\/7 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 38642037.\nAnswer: -1\/12880679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 - 8*k + 1753. What is the units digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 11 = -3*y, -3 + 0 = -y + 3*x. Let h be 4\/3 + 3\/y. Let j = -0.08 + -0.22. What is the closest to h in j, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6148 and 116.\nAnswer: 6148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 42 = 5*k - a, 5*k + 52 = a for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -36*y**2 + 15. Let w(r) = 5*r**2 - 2. Let s be -4 + -4*4\/(-8). Determine s*a(b) - 15*w(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/14)*b**(8\/7)\/b assuming b is positive.\nAnswer: b**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:57 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 28 - -1 - (697 + -710)) + (-38 - -9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 10216.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 965\/14 + -570\/7. Let u(k) = 9*k + 1. What is the common denominator of s and u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p + 3*w = -15, 4*p = -4*w. What is the greatest common factor of 12 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/10 + h**4 - 5*h**3\/6 - 19*h**2\/2 + 9*h. What is the units digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24153, 48950, 73747, 98544, 123341?\n\"Answer: 24797*q - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*m**4 - 5*m**2 - 3*m**4 + 6*m**4 + m**2 wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262434 divided by 239\nAnswer: 262434\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77400 and 4455?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 h when three letters picked without replacement from {f: 2, m: 1, h: 1, q: 2, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9850*b**2 + 3539*b**2 + 6289*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 43*l**2 + 603*l + 9. Let z(c) = -9*c**2 - 151*c - 2. What is 2*o(i) + 9*z(i)?\nAnswer: 5*i**2 - 153*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20453 or -1411228\/69?\nAnswer: -1411228\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-4)\/42). Let g = t + -27\/4. Let m = 4 + -3.6. What is the closest to g in m, -0.3, -2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370870127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 467, 527, 599, 689, 803?\n\"Answer: j**3 + 53*j + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -4 - 164\/(-6). Let a = -8202 - -8228. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 1496*b**3 + 1417628*b**2.\nAnswer: -4*b**2*(b - 437)*(b + 811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 14*n + 34. Give i(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 69 - 9. Calculate the remainder when 17 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 13*v + 16*v - 27*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*j**2 - i + 111*j + 5627 wrt j?\nAnswer: 6*i*j + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1585 divide 264793270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13898753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -0.2 in ascending order.\nAnswer: -4, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68881294927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 68*l**2 + 218*l + 25. What is the thousands digit of t(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 42*k + 138 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 145930 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-406)\/35. Let y(a) = -9 - 4 + l + a. Let s be y(-4). Let w(g) = -g**3 - 4*g**2 + 4*g - 5. Calculate w(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 8. Let t(h) be the first derivative of h**3\/3 - 21. Let q(a) = n(a) - 4*t(a). What is the first derivative of q(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 k, and 1 i when four letters picked without replacement from {i: 1, r: 2, k: 4, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 169*r**2 - 80*r**2 - 87*r**2. Let m(v) = -14*v. Give m(l(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*x - 4*p, -2*x + 2*p + 22 = 4*p. Let y be 6*(-2)\/3 - x. Which is greater: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -123*d - 2. Suppose -11*z - 8*z + 8759 = 0. Let n(o) = -461 - o**2 + z. Calculate s(n(h)).\nAnswer: 123*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39285*p - 4 + 4*p**2 - 8*p**2 + 39281*p - 2*p**2 + 0*p**2 + 3*p**2 + (-3 + 0 + 1)*(-2*p**2 + p**2 + 0*p**2).\nAnswer: -p**2 - 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a4a (base 11) to base 4.\nAnswer: -11311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -581934631*a**6 + 4*a**2 - 2515*a - 967 wrt a?\nAnswer: -69832155720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g)**(1\/42)\/(g**(-3)\/g*g\/(g\/((g\/g**(-4))\/g))) assuming g is positive.\nAnswer: g**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*k + 77. Suppose 15 - 147 = -k*o. What is the lowest common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 836 + 656 = 0. Let p(j) = 2*j**3 + 37*j**2 - 5*j + 30. List the prime factors of p(d).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -107. Which is bigger: g or 1\/75?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:57 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/6 + -4\/3. Let l be (-4)\/3 - (91\/3)\/(-7). Suppose -l*b - 7*k + 6*k + 8 = 0, 5*b = -5*k. What is the nearest to g in 3\/5, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/(p**(1\/6)*p))**(-10\/7))**(2\/55) assuming p is positive.\nAnswer: p**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/11 + 323224*r**3 - 2106885005568*r**2\/11 + 416161758420336096*r\/11 + 832331944409138208\/11.\nAnswer: -2*(r - 592578)**3*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - d + 4 - 2 - 2*d**4 + d**3 + 1 in the form k*d**4 + c*d**2 + b + s*d**3 + j*d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2508\/30 + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196.74 - -195.64. Put -0.2, 0.2, o, 0 in descending order.\nAnswer: 0.2, 0, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235 times -3?\nAnswer: 3705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10252625057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243 - -264. Suppose h - 102 - 36 = 0. Let n = 9 + h. Calculate the greatest common factor of n and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 717 - 717.000364. What is w rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 4*l**2 + 8*l + 6. What is the remainder when 8\/36 - (-3936)\/27 is divided by v(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42925981369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (6 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -910*u**3 - 3*u**2 + 3*u - 36. Let c(f) = -26389*f**3 - 88*f**2 + 88*f - 1056. Determine -3*c(l) + 88*v(l).\nAnswer: -913*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:26 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 2*f**3 + f**3)*(1 - 4*f + 4*f - f) - 59*f**4 + 106*f**4 - 2374*f**4 to the form m*f**4 + a*f**2 + l + h*f + p*f**3 and give m.\nAnswer: -2329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609 - 468 = 26*s + 21*s. Let m(t) be the second derivative of 7*t**3\/6 + 15*t**2\/2 - 2*t. Let w(x) = 4*x + 8. What is s*m(l) - 5*w(l)?\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -69*d - 337. Give i(-15).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1758124964 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-1 + (sqrt(19) - (sqrt(38)\/sqrt(2) - sqrt(19))) - sqrt(19)) + sqrt(19))**2 + (sqrt(171) + 5)**2.\nAnswer: 26*sqrt(19) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -27*n + 23*n, 3*l + 3*n + 3 = 0. Solve 5*x + 5 = -2*d, l*d + 2 = -4*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**4 - 230121*u**3 + 57*u**2 - 235295687*u wrt u.\nAnswer: -36*u**2 - 1380726*u + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 9270000 = -0*n. What is n rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754230 = 6706*i + 5459*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 40. Let x(u) = 2*u. Let k be x(y). Suppose -5*l + 12 = 2*z - 2*l, k = z + 4*l. Solve -3*b = -0*b - z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*i + 156, -5*i = 2*q - 325 - 65. Let h = i + -37. Let a = h - 36. Put 6, a, 3 in ascending order.\nAnswer: 3, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p. Let q be ((-6)\/9 - 1)*-3. Suppose -2 = 4*c - q*c. Suppose c*d + 5 = -3*a, -2*a + 5*d = -0*a + 16. Calculate y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*l = -13 + 37, 3*l = 4*b - 31 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20993 + -4512. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*o**3 + 2*a*o**2 - 452*a - 554*o**3 - 2*o wrt o.\nAnswer: -6*a - 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**3 + 7*a**3 - a**2 + 3*a**2 to n*a**3 + k + l*a**2 + x*a and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -37 (c) 9.336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1412 - -1412. Which is the third smallest value? (a) o (b) 2\/25 (c) -3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -224*c**3 - 9*c**2 - 17*c - 9. Is 74 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-121)\/(-22) + -4)*(-4)\/3. Which is the fourth smallest value? (a) 3 (b) 0 (c) f (d) -87 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*h + 5*h**3 + 623*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896945 (base 10) to base 14.\nAnswer: 194c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 2*b + 26)*(-b + 2*b + b).\nAnswer: 4*b**2 + 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 4*x + 1. Let u be d(5). Solve -u*y - 79 + 67 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:38 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257 or -258?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200 - 170. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 713.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 5:49 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 4\/7 - 6004\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-720)*8\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 - 6*v - 13. Let w be l(8). Sort 2, w, 28 in ascending order.\nAnswer: 2, w, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1004*g. Let u(p) = 2*p - 31. What is u(v(m))?\nAnswer: 2008*m - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 578130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23443*w**5 - 9*w + 540 wrt w?\nAnswer: -468860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 5. Let i(g) = -3*g - 4. Let d(f) = -7*i(f) - 6*n(f). Calculate the remainder when d(8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11384584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 655 and 17947.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1290 + 1291. Which is the smallest value? (a) -1.98 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 + 2*d + 2. Let j(a) = a**3 + 5*a**2 + 4*a - 3. Let r be j(-4). Let x be (-2 - r)\/(2\/4). Calculate q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764881198 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 2670.4.\nAnswer: 29374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8264642 by 14.\nAnswer: -4132321\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 44983*t**3 - 2*t**2 + 1. Let q be w(1). Suppose -6898 - q = 4*p. What are the prime factors of 4\/22 + p\/(-55)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271894481.4 rounded to the nearest 10000?\nAnswer: -271890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/18084 and 41\/10549.\nAnswer: 126588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 578234 + 2*i**3 + 2*i**2 - 7*i**4 - i - 5*i**3 - 578224 - i**3 in the form a*i**4 + l*i**2 + m + j*i + x*i**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1370, -1492, -1680, -1934, -2254, -2640?\nAnswer: -3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, -1249, -3470, -6579, -10576, -15461, -21234?\nAnswer: -27895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 7*a + 53 = -4*m, -2*a = -8*m - 62 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-164538)\/(-102) - (0 + 8\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from cmmcmc.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 908 + -908. Let p = -9 + 7. Let q(u) = -u**3 - u**2 + 3*u + 1. Let j be q(p). Sort -6, j, h in ascending order.\nAnswer: -6, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/8 of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.539967mg in nanograms?\nAnswer: 3539967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, -685, 1290.\nAnswer: -685, -1\/2, 1, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 241038935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 13*z**2 - 46*z + 24. Give i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.149398 millennia?\nAnswer: 149.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 6 + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -166*u**3 + 11*u**2 + 76*u - 2. Let p(a) = -82*a**3 + 5*a**2 + 38*a - 1. Let o(n) = -2*c(n) + 5*p(n). What is the second derivative of o(d) wrt d?\nAnswer: -468*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than -11.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 385, -36 in descending order.\nAnswer: 385, 67, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n**(-4\/3))**(2\/61) assuming n is positive.\nAnswer: n**(-80\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -35.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-2))\/((-38)\/(-57)). Let h be v*((-1)\/5 + (-565)\/(-75)). Suppose 485 = 27*q - h*q. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o + u, o + 0*o + 15 = 4*u. What is the remainder when 27 is divided by -7*((3 - 2) + o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16723*g**2 + 43794*g**2 + 4*g - 5699*g**2.\nAnswer: 54818*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c - 153 + 153)*(10*c - 4 + 4)*(-2 - 4 + 4).\nAnswer: 520*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:35 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27563537 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b + z - 34638, 5*z = -4*b + 46206. What are the prime factors of b?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1 + 20\/(-24)). Let p be (-1)\/(-3) - (-25198)\/b. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -10*h + 74. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(2736)*-1)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-42)*(-32)\/(-8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 65*w = -1513 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p**2 + 12*p**2 + 31*p**2 + 49*p**2 + 1. Let y be n(1). Suppose 0 = 3*x + 3, -y - 436 = -4*l - 3*x. What are the prime factors of l?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724054 is divided by 241350.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -455\/3, -2\/9, -2, 3\/4, 5.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30\/13, 3\/5, 2\/3, 5?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/27 + 8*r**5\/15 + 3*r**4\/2 + 28*r**3\/27 + 2852. Suppose a(f) = 0. Calculate f.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 0, 939*p - 934*p + 20 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 bigger than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0932 + -0.02.\nAnswer: -0.1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 16*t + w - 1081 = 0, -w = -t + 359. What is the highest common factor of 96 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 42*x**2 - 748*x + 15079. Calculate z(20).\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-40))\/(1\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - 12 = 0, 0 = -4*g - k + 101. Let v = -24 + g. Suppose 0 = 5*i - 5*y - 485, -3*i - v*y = -7*i + 386. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/6436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 4*h + 32, -4 = 4*c + 3*h. List the prime factors of c\/(-18) - 115\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*o - 239*o - 3*o**3 - 1 + 1.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1846 - 1846.00001199. What is j rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 635122\/31 - 20486. Is 1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-282)\/(-54) - 2\/9. Suppose -x*q = 4*o + 1 + 9, 4*q = o - 8. Solve -2*d + z = -0*z + 11, o = 2*d + 4*z - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 n when four letters picked without replacement from {m: 1, a: 4, i: 3, n: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/16 and 19\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139.4 - -139. Sort 0, -1\/4, m in decreasing order.\nAnswer: 0, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 12*t - 9. Let s(v) = v**2 - v. Let x(y) = a(y) + 2*s(y). Let o be x(10). Is 6 a factor of -16*(o\/(-12) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 + -202. Sort l, -1\/4, -5, -8 in descending order.\nAnswer: l, -1\/4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let l be -4 - (-3 + 3\/(-4)). Which is the third smallest value? (a) l (b) r (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14542224 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d - 1. Let i(o) = o**3 + 2 - 8*o**2 + 2 - o - 2. Let n be i(8). Let a be -8*3\/n*1. Let k(z) = -z**3 + 4*z**2 + 4*z - 4. Give a*j(c) - k(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8448 + -8446. Solve 0 = -m*y - 2*p - 4 + 2, 0 = -2*y + 3*p - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:03 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/(15\/(-50)). Let z be 3\/(2\/c - -2). Suppose 0 = 2*i - i - z*u - 14, -i + 11 = u. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + o = -5, 5*z = -621893*o + 621890*o + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 55\/4, -2449, -1\/11?\nAnswer: -2449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13179 + 44284 = 7*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/72*(-1 - -5). What is the second biggest value in -0.3, d, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1122297942 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - c)*(-c**3 - 9*c**4 - 3*c**3 + 14*c**4).\nAnswer: -5*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*h - 98*h - 128*h + (-4*h + h + 5*h)*(2 + 0 - 4) - 3 + 3 - h + 2*h + h - 5*h)*(36 - 35 - 49) in the form o + s*h and give s.\nAnswer: 8688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184392246 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 20*c + 5*c - 2*c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76976 - 16165013\/210. Let f be 6\/(-40)*4\/(-7). Let g = y + f. What is the nearest to 1 in 1, 0, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -13\/24, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 4*g**3 - g**3)*(-5 + 3 + 0)*(-1 + 1 + g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 - 5*d**2\/2 - 15. Suppose 0*o = -o + 16. Suppose -u = 2*u - 2*w - o, 3*u - 13 = 5*w. What is b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 85. Let v(f) = -3 + 13 + p - 201*f. Is v(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4)\/c*c\/((c*c**(-5))\/c*c*c)*(c*c**(-4)*c*c*c*c)\/((c*c**(1\/11))\/c))\/(c**(-9)*c\/(c*c**(-1\/2)))**7 assuming c is positive.\nAnswer: c**(1505\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19242*w**3 - w**2 - 285607*w.\nAnswer: 115452*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*f - 55, 235 = 3*l - 37*f + 54*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9071963*r + 1177344 with respect to r.\nAnswer: -9071963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2261 and 1463.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -431*q**5 + 48*q**4 - 36*q**2 + 1992*q wrt q?\nAnswer: -25860*q**2 + 1152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9314, 19575, 30814, 43055, 56322, 70639, 86030?\n\"Answer: 4*d**3 + 465*d**2 + 8838*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3315 divide 817589678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1434)\/4*(-19)\/(-6). Let q = 1128 + f. What is the common denominator of 67\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 4*w - 3. Let s be (-20)\/3 + 10\/15. Let x be (-6)\/4 + (-21)\/s. Determine l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**3*j*k**3 + 18*d**3*j + d**3*k - 11*d**2*j*k**3 - d*j*k**3 + 10*k**3 wrt d?\nAnswer: -48*j*k**3 + 108*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9276 is divided by 2966?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**4 + 12*o**3 - 42*o**2 + 19*o. Let c(l) = 5*l**4 + 13*l**3 - 43*l**2 + 21*l. Let j(n) = 3*c(n) - 2*x(n). Let j(b) = 0. Calculate b.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 497 - 47. Let r be 8\/(-6)*u\/24. Suppose 2*o + 724 = 4*i - 0*i, -r*i - 3*o + 927 = 0. Does 43 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 + k**4\/3 + 7*k**3\/6 - 2*k**2 - 2*k. List the prime factors of y(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*q + 4. Let r(v) = 43 + 5*v**q - 43. Let x(z) be the second derivative of -2*z**4\/3 + 26*z - 2. Determine r(x(i)).\nAnswer: 320*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -13*p - 9. Let v(a) = 3*a + 2. Let n(d) = -4*i(d) - 18*v(d). Let s(z) = 20*z. Calculate n(s(x)).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100100110011 - -1000011?\nAnswer: -101011100011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5417167750590 - 5\nAnswer: -5417167750595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 1, s: 1, p: 1, j: 1, u: 2}. What is prob of picking 1 p, 1 s, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8190 is divided by 545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2289 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 - -100101?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/8 - -3\/8. Let i be 5*(-10)\/18 - -3. Put a, i, 1\/4 in ascending order.\nAnswer: a, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*k*s + 2*k - 2*s**3 - 2*s**2 - 79 wrt s.\nAnswer: -19*k - 6*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {k: 1, w: 5, r: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r**2 - 200*r - 882. Give t(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134580*x - 100631*x + 63906*x.\nAnswer: -171305*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-464 - 1)*(-6)\/5. Let a = -347 + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.2, -2, -792\/17, 1\/2.\nAnswer: -792\/17, -2, 0.2, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*p - 44 = 165*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 17. Determine i(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -80*y + 4. Let i be h(1). Let x = i + 78. Suppose 3*w + 100 = -x*w. Which is bigger: w or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/(-46)*-20*(-43)\/(-6). Suppose 7*u + 20 = 3*u, -53 = 3*i - 2*u. Let g = i - h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -322614*u + 2422. Let a be v(-27). What is a rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 10*v + 5. Let s(t) = 20*t**2 - 3*t + 6. Is s(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**8\/1260 - q**7\/252 - q**6\/270 + 20*q**3\/3 + 26. Let z(b) be the third derivative of l(b). Factor z(h).\nAnswer: -2*h**2*(h + 2)*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*b = 1266 - 1331, -5*u + 4*b + 19 = -37 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 933904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 - 852*s**3 + 31959*s**2 + 74262*s - 269592 = 0.\nAnswer: -4, 2, 47, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -81, 3, -2, 12, -3, 15 in descending order.\nAnswer: 15, 12, 4, 3, -2, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 4 + 3*o**3 - 2 + 4.\nAnswer: 2*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i + 102056 - 101876 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26793305 and 3080?\nAnswer: 214346440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {n: 1, v: 6, q: 3, l: 2, h: 5}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:04 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 54 + 2 - 7*i - 9.\nAnswer: -7*i - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 1)*(-3*t**2 - 2 + 4 - t**2)*(-12 + 12 + 6*t) as m*t + u + o*t**3 + g*t**2 and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6112852 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -212031 (base 4) to base 8\nAnswer: -4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-33)*z*z**5*z)\/(z**(1\/5)*z)**(-1\/2) assuming z is positive.\nAnswer: z**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.38 * 302.98.\nAnswer: 8295.5924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -7, -4, -0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3*h**2 + 3*h**2. Let a(j) = -2*j + 8. Let u(t) = t - 2. Let v(z) = -3*a(z) - 12*u(z). Give r(v(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(25)\/sqrt(5)))**2 - (1 + sqrt(17) + (sqrt(68))**2).\nAnswer: -52 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 232540801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1315\/13 - -101. Let u = 8.5 + -8. Put f, 5, -1\/5, u in descending order.\nAnswer: 5, u, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.67 + -81. Let n = g + 0.32999987. Round n to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/15 + -2)\/((-8)\/(-8)). Which is the fourth biggest value? (a) -0.5 (b) h (c) 4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 3*x - 87. Let a = x - 139. Solve -3*y - y = -4*w + 8, -w = y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 6\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -5. Let a be (12\/(-10))\/((-4)\/p - 0). Let z = -10 + 14. Solve -4*x - 4 = -a*m - 0*x, 0 = -z*m - 3*x - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.07, -1, 1, 6\/31?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 688333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 76 = -22. Solve o*y - 2*t = 5, 2*y + t - 3*t = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(52) + sqrt(208)\/sqrt(4))\/sqrt(4) - sqrt(13)) - (3 + sqrt(13) + sqrt(13) + 1))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47408821 and -3270613.\nAnswer: 44138208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 - 2*2\/(-2). Suppose 3*b + b = -2*q + 8, h*q = 3*b + 5. Calculate the lowest common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3728438 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-172)\/86)\/(5\/(70\/28)*2\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o + 54*o + o)*(13 + 1 + 6)*(2 - 2 + 2*o**3 + (-2 + 2 - 1)*(-1 + 1 + o**3) - o**2 - 3*o**3 - o**2 + o**3).\nAnswer: -780*o**4 - 1560*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 52615607.\nAnswer: 5787716.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 + 1 + 616*g - 5. Suppose -4*n = -9*n + 10. Let a be w(n). Round a to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.90181 microseconds to seconds.\nAnswer: 0.00000890181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248338 and 161912.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**2 - 2*n**2 + (-6*n**2 + 46*n - 46*n)*(46 - 18 - 83) + 4*n**2 - 3*n**2 - 2*n**2 + (n**2 + 2*n**2 - 4*n**2)*(-4 + 1 + 4).\nAnswer: 329*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 0*k - 3 + 7*k. List the prime factors of n(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568333876 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 + 0 + (-3 - 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10*5\/((-375)\/(-24))*(-25)\/10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -999648*k**3*q - 81*k**3 + 4*k**2*q - 332622*k**2 wrt q.\nAnswer: -999648*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 659.\nAnswer: 2\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h**4 - 21*h**2 - 6*h - 6. Let f(a) = a**4 + a + 1. Let u(z) = 6*f(z) + s(z). What is the third derivative of u(r) wrt r?\nAnswer: 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/238)\/((-1)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q**3 - 16*q**2 - 30*q + 1. Give x(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*v - 70 = 0, -95 = -y - 4*y + 4*v. Suppose h + 2*d - y = -2*h, 5*h = -4*d + 27. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1286 + -1285.7. What is the closest to -1 in 0.1, 2\/85, r?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let t(b) = 7*b. Let z(v) = 4*v. Suppose h - 6*h = 20, -4*h + 2 = -3*f. Let w(a) = f*t(a) + 11*z(a). What is w(d(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10127 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4245145*h**4 - 2739401*h.\nAnswer: -50941740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 5*c - 2*c + (-2 + 1 - 2)*(-3*c + c + 0*c) + 2*c - 3*c + 2*c to the form n*c + b and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 966.9 + -967. Let m = 1 - 1. Which is the nearest to 0.1? (a) h (b) -2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.057 + 20. Let x = r + -0.025. What is x rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025893 to 6 dps.\nAnswer: -0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/82202 and -73\/62?\nAnswer: 2548262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-6)\/8*18\/27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/315*7 + 332\/(-20). Let a(x) = 15*x + 25*x**2 - 9*x + 10*x + 11*x**2. Let j(d) = 7*d**2 + 3*d. Give c*j(o) + 3*a(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, f: 2, w: 6, n: 2, u: 2}. What is prob of picking 2 f, 1 x, and 1 u?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 372, 745, 1118, 1491, 1864, 2237?\n\"Answer: 373*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*d - 7, 0*w + d - 19 = 2*w. Let c = 12 + w. Suppose 0*a + c*a = 84. What is the highest common divisor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a9 (base 15) to base 4.\nAnswer: 113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4683 or 4708?\nAnswer: 4708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 = 4*u - 122, -u - 5*g - 1 = 0. Let h = u - 22. Suppose 5*b - 84 = h*b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -12 + 10 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**8\/112 + j**4\/24 + j**2\/2 - 2*j. Let c(w) be the first derivative of h(w). What is the second derivative of c(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z = -4. Find the third derivative of -12*q**z - 5*q**3 - 15*q**3 + 42*q**3 - 11*q**3 wrt q.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3845.28 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 - 2) - 3 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65062, 130091, 195088, 260053, 324986?\nAnswer: 389887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 5*k**2 - 9*k**2 + 11*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 5*c + 240 = 30*x, c - 202 = -4*x. Which is bigger: x or 257\/5?\nAnswer: 257\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -9*b**7\/7 + 2*b**3 + 11. What is the third derivative of l(z) wrt z?\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhvvdvhhvhh. What is prob of sequence hvdd?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/4))\/d*d**(1\/2)*d*d*(d\/(d**(1\/2)*d))**(-16\/7))**(-11\/4) assuming d is positive.\nAnswer: d**(-1199\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let u(n) = 3*n. Let w(m) = 4*s(m) - u(m). What are the prime factors of w(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*u + 4*x + 3, 0 = 4*u - 2*x - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*u - 30 = 0, 3*s = -4*u - u - 112. Let f be (0 - 1)\/(-1) - 0. List the prime factors of -3 - f\/(2\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/((y\/y**(-3\/2))\/y))\/(y**(2\/5)*y**(-7)) assuming y is positive.\nAnswer: y**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 3. Let n be z(0). Let c(i) = -3*i**3 - 2*i + 2*i**n + 1 + 2*i**3. Let u be c(1). Solve r + o - 9 = u, -4*o = r + 5 - 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 26. Let s = r - 16. Suppose h = 5*m + 5495, s*m + 4*h + 3305 = 3*h. What is m rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 863370*f + 37270387845.\nAnswer: 5*(f - 86337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 3*d - 3*d)*(-3 + 5 + 0) + 0 - 2*d + 2 - 2*d - 2 + 2 + d to the form t*d + c and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*k**3 - 809*k**3 + 0*k**2 + 0*k**2 - 1543*k**3.\nAnswer: -156*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 2, f: 1, v: 2, l: 1, c: 1}. Give prob of sequence dv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzmx when four letters picked without replacement from {z: 10, m: 1, x: 1, r: 4, g: 4}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.007193\nAnswer: 0.014386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -1 + 1. Suppose -5*s + 5 = -5*n, d*n - 3*n - 4 = -4*s. Let v be 10*s*19\/38. Solve o + 0*a + v*a + 16 = 0, 0 = -5*o - 4*a - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15760 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + 2532\/60. Let q(z) = -d*z**2 - 143*z**2 - 87*z**2. Let o(v) = 2*v. What is o(q(r))?\nAnswer: -544*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2227345 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 351*v**4\/8 + 63*v**3\/2 + 3*v**2\/2.\nAnswer: 3*v**2*(3*v + 2)*(39*v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 70 = -70. Suppose -2*r = -r - m. Round r to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 4, -5.0532, -16\/7 in decreasing order.\nAnswer: 4, 0.08, -16\/7, -5.0532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 4*i**2 - 2*i**2 + 41*i - 34*i - 8.\nAnswer: 2*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5342 = -4*p, 7*v - 3*v = 4*p - 5332. Suppose 4*y - 55 + p = 0. What is y rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 6*b - 3*b)*(0 + 1 + 6*b + 5*b)*(-b**3 - 2*b**2 + 2*b**2).\nAnswer: -22*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22273163942 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*b + 9873 = -6797, 4*l - 13340 = -2*b. List the prime factors of l.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 873*r**3 + 176*r**2 + 2103*r - 196*r**2 - 2105*r wrt r?\nAnswer: 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**8\/6720 + u**6\/240 - u**5\/20 - u**2. Let k(p) be the third derivative of b(p). Differentiate k(f) with respect to f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162162 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137932*g*l**4 + 21*g*l**3 + 4759238*g with respect to l.\nAnswer: -551728*g*l**3 + 63*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 <= -298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (24 + 2 + (5 - 26))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -612*y - 284*y - 669464 = 5011*y - 43322 for y.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -972, -975, -976, -975?\n\"Answer: h**2 - 6*h - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145590 rounded to the nearest 1000?\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1387 - -1496. What is the second smallest value in x, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.2 - 31. Let w = g + -7.7. Let t = -2 + 5. What is the biggest value in w, t, 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/66*3). Suppose 5*m + 1 = i. Solve 0 = -m*v - 2*k - 7 - 5, 3*v - 4*k + 11 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*w + 11 - 29, -4*v - w + 72 = 0. Let h be ((-18)\/v)\/(1\/(-5)). Solve -6*q + 3*q = -h*g - 20, 2*g = -q + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -13*t + 12*t. Which is greater: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050668039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = -3*b. Let n = b - -11. Let u = n - 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -247*z**2 + 244*z**2 + 18*z - 3*z - 3. Let j be r(6). Let v = j - -57. What is the greatest common factor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5873 - -6282. What is the remainder when h is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**3 - 15*h**2 - 5*h - 99. Let z(b) = -8*b**3 - 16*b**2 - 6*b - 97. Let k(u) = -6*l(u) + 5*z(u). What is the derivative of k(s) wrt s?\nAnswer: 6*s**2 + 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6767994.\nAnswer: 2, 3, 53, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 77. Solve -15 = -5*q - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 + -5.3. Sort 2.7, 3, v.\nAnswer: v, 2.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4920)\/72 - 2\/3. Let c be (-104)\/(-14) + h\/161. What is the highest common divisor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 192 - y**3 - 9*y - 60 - 63 - 67 - 8*y**2. Suppose 3*b + 6*d = 3*d - 24, -5*b - 33 = -2*d. Calculate n(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*u**2 + 2*m*u - 711580*m - 17723*u**3 with respect to u.\nAnswer: -4*m*u + 2*m - 53169*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Find the second derivative of -2*a**3 - 2 + 2 - q*a + 3*a wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + 4\/(2 + -4). Suppose 34 = 3*x + g. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -1\/6*y**4 + 1\/2*y**2 + 1\/6*y**3 - 2*y + 0. What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/81 = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26523\/(-378)*-3*2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 4*i - 7. Let k be a(-6). Let q(p) = -p**3 - 8*p**2 + 2*p + 17. Let x be q(-7). Let u = k + x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2. Suppose -4*r + 13 + 3 = 0. Let l(m) = 7*m - r + 4 - 3*m. Give j(l(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvuuuuuuuu. What is prob of picking 1 u and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -32 - (-7 + (-1 - 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 104 + 466*p**2 + 60*p - 1449*p**2 + 473*p**2 + 462*p**2.\nAnswer: -4*(p - 2)*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -8.247.\nAnswer: -13.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.426 - -3.426. Is -174 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*l = -60, l - 22 = s - 3*l. Let b = 4 - s. What is the lowest common multiple of b and 53\/3 - 8\/32*12\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -232101322022?\nAnswer: 232101322022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 36 = 2*d + 3*m, 2*m + 26 = -3*d. Calculate the common denominator of (4*3\/60)\/(d\/(-645)) and -91\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -8\/3877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 396 and 594.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times 5\nAnswer: -3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 2348.\nAnswer: 25828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106, -95, -76, -49, -14?\n\"Answer: 4*a**2 - a - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 27*b + 4374\/5.\nAnswer: (b - 81)*(b - 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20929 is divided by 975.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068 and 38513148.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104 a factor of 165357568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**2*w**3 + 5*s**2 - 337*s + 368453*w**3 + 68 wrt w?\nAnswer: -3*s**2*w**2 + 1105359*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + l**2 - l**2)*(2*l**2 + 6*l**2 - 4*l**2) - 2*l**5 + 5*l**5 - l**5.\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69529 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6614, -52955, -178750, -423725, -827606?\nAnswer: -1430119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 23*a**3 - a**2 - a - 5. Let f(u) = 2*u**3 - 1. Give -3*f(j) + x(j).\nAnswer: 17*j**3 - j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136372.13363 + 136237.94. Let g = 134.2 + m. Round g to 4 dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at most 141982\/3527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112201101201110 + 1010?\nAnswer: 112201101202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 - -1198. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*l = -l - 5, 20 = q - 3*l. Let p be q\/(-40)*14*-20. Let b be 55\/p + 12\/28. Solve 3*o - 4 = b*o, -4*o + 11 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let h = 1.968 - -0.032. Which is the closest to 2? (a) z (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-6*sqrt(24)\/sqrt(3)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000 (base 2) to base 7.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is e4 (base 16) in base 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 + -159.931. Let t = 0.0689959 - k. What is t rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 2 + 3 - 5. Let w(k) = 1. Let t(d) = w(d) - x(d). Differentiate t(h) with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 725, 2874, 6457, 11474, 17925, 25810?\n\"Answer: 717*b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**3 - 25*l**2 + 20*l - 364. Does 91 divide y(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*u**3 - 1513*u**3 + 1487*u**3.\nAnswer: -843*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let c(f) = 4*f + 3 - 6*f**2 + 1 - 7*f**2 + 12*f**2. Calculate c(z) - 4*h(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28 - 145*k**2 + 12*k**2 - 95 + 32 + 40. Let o(y) = 2*y. Determine o(w(b)).\nAnswer: -266*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 - 4*z - 71. Let o be (2 + (0 - -1))*-1. Determine c(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.092 + -0.092. Sort 12, 10, a.\nAnswer: a, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-6) + (-148)\/(-24) + -6. Sort 3\/2, z, 8, 2\/13 in decreasing order.\nAnswer: 8, 3\/2, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/11)\/b)**(14\/9)*(((b\/b**(-19)*b)\/b)\/b)**(-17))**32 assuming b is positive.\nAnswer: b**(-1025504\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 24 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*k**2 - k**3 + 374*k**2 + 4*k + 2*k**3 - k - 5*k as t*k**3 + z*k + x*k**2 + w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 9*u**2 + 21*u + 42. Let b be s(-11). Solve b*r - 46*r + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*i + 24235416 - 24235416.\nAnswer: 1828*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*t = -1, 3*k - 8 - 2 = -t. Solve -u = 4*u + k*o - 27, o - 19 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21095.7 from 27969.\nAnswer: 49064.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*h - 121*h = 3*w + 68111, -34063 = -2*h - w. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86632 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c9 (base 15) to base 3.\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43219*u + 47313*u - 90542*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, -29, 2, -5, -266 in increasing order.\nAnswer: -266, -29, -28, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112085250 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77012 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2 - ((-84)\/8 + 9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -64. Let d = 81 - y. What is the remainder when d is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-2 - 0) - 440. Let o = g + 303. What is the common denominator of 1\/18 and 21\/(-35) + o\/80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3186 + -2417. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*k**3 - 24*k + 24*k - 2*k**2 - 2823 + 2823 as s*k**3 + y*k + r*k**2 + m and give s.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**2 - 32*f - 19. What is the remainder when 96 is divided by q(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/15006838 and -3\/392.\nAnswer: 60027352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1380 and -59\/156?\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 272, 0.1, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 989.0814g?\nAnswer: 989081400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*v = -2, 3*s = -2*s + 4*v + 35. Suppose -k - 2*b = -13, -s = -3*k - 0*b + b. Differentiate -4 - k*p + 2 + 3*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (171 + -21)\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 2*y + 6. Let z(w) = -w**2 + w. Let m(o) = s(o) - 4*z(o). Let f be m(-12). Let h = f + -250. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7 rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 76700000 to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 1, z: 1, a: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, 0.0199, 0.09, -0.2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(3 - 1)*1. Let d = 11.57 - 11.47. Which is the nearest to d? (a) 2 (b) g (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/6 - 7\/(-21). Let c = 1096 - 425. Calculate the highest common divisor of c and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 911*z**2 - 5*z + 7. Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + h - 54 = 0, 2*h + 0 = -4*l + 72. Suppose 0 = -23*b + l*b + 25. Calculate the least common multiple of 11 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/2 - 1608165*r**2\/2 + 215517026349*r\/2 - 215515418187\/2 = 0.\nAnswer: 1, 268027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -16. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 3*k + 12. Let y be z(7). Is (235\/2)\/((-8)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 24*g**2 - 57*g + 44. Calculate the remainder when b(-4) is divided by 121.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 5 (c) -1.13 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = 21*d - 33*d. Is (315637\/d)\/((-1)\/(-2) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 680 + 319?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5 - i**4 - 21*i**3*m - i**2 + 14*m wrt i?\nAnswer: -120*i**2 - 24*i - 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43021 and 205261013?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -5, 5, 19, 37, 59, 85?\n\"Answer: 2*l**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976.325um to meters.\nAnswer: 0.000976325","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -408\/7 - 114\/7*c - 3\/7*c**2.\nAnswer: -3*(c + 4)*(c + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-4) + -3)*0. Suppose 4*m + 4 = r, -t - 3*m = -0*t - 2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13040 minus -1?\nAnswer: 13041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 204283046 = 408566089\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x - 95*x - 130*x - 44*x - x**2 + 7*x.\nAnswer: -x**2 - 221*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-15)\/9)\/1. Suppose -706245 = -v*q + 12843755. Round q to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*(b**(2\/7)\/b*b*b)\/b)))**(-50)\/(b*b**0*b)**(-7) assuming b is positive.\nAnswer: b**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1725)\/(-207)*(-52)\/(-65).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9781 is divided by 141?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001213 + -3213?\nAnswer: 332000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-82)*(-39912)\/69846?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 68 = -4*n, 3*n = 2*f - 6*f + 54. Let o = -170 + 278. Calculate the highest common divisor of o and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1*-6)\/sqrt(11))**2 - (sqrt(117)*-2*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 11. Let t = -26 - -17. Let v = t + g. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2445 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.622 - -6.1?\nAnswer: -162.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 3. Let u(x) = 9*x - 7. Let w = -7 + 13. Let t be 23\/3 - w\/9. Let k(q) = t*v(q) - 3*u(q). Let p(j) = -j**2. Give k(p(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 436.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 5*n - 5*n)*(23 - 14 - 15)*(1 - 1 + 2) + 15*n + 21*n - 160*n in the form f*n + g and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14014 - 7581. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 550957983, 1101915968, 1652873953, 2203831938, 2754789923, 3305747908?\n\"Answer: 550957985*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b + 4*b)*(-657 - 635 + 1253 - 7*b).\nAnswer: -35*b**2 - 195*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:01 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 0.5, 95, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133\/60 + -7\/15. Sort -1, -1\/2, d, -5 in descending order.\nAnswer: d, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5208 - -0.0298.\nAnswer: -0.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48640 and 56914880.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 194?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 5248737?\nAnswer: 5248728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*p**2 + 645141629*k**3 - 10*k**2 - k + 106*p**2 - 3271 wrt k?\nAnswer: -12*p**2 + 3870849774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/((-34)\/(-68)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 55. Solve -8 = -5*n - 4*c, 5*n - s*c + 13 = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 110. Suppose -u + 10 = -6*h. Suppose 8*d = 4*d + h*y + 88, 4*d - 76 = y. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 - 2 - 5*i**2 + 2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-234)\/4)*(-3321)\/2706?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.2. Let k = 0.3 - t. Let x = 33.77 - 32.77. Which is the nearest to -0.1? (a) -1\/3 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-60)\/25)*(-136)\/6630.\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2041)\/(-3) + (-74)\/222. Suppose -46*h = 6358 + m. Which is smaller: h or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031 minus -778.15?\nAnswer: -2252.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - -5. Let q = h + -64. Put q, 3, 2, -2 in increasing order.\nAnswer: -2, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 5398a3?\nAnswer: 5398a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 15 = 16*s. Calculate the remainder when 24 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 713287949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 454 (b) 4 (c) -2\/13 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10072, -10455, -10838, -11221?\n\"Answer: -383*b - 9689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-378)\/(-504))\/((-3)\/88).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/3*74\/8. Let u = -154 - -254. Let w = u + r. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j + 3. Let d(f) be the third derivative of 13*f**4\/24 - 5*f**3\/6 + 136*f**2 + 2*f. Give -4*d(t) - 9*q(t).\nAnswer: 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-22)\/q)\/q)*q*q)\/q)\/((q\/(q*q\/(q*q*q**(22\/5)*q))*q)\/q)*q**(-7)\/q**2 assuming q is positive.\nAnswer: q**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j - 1. Suppose 5*l = -24 - 1. Let g be f(l). Solve -3*r - 7 = -g*n + 5*n, -9 = 3*r + 3*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1779 = -2*b - 3*y, -4*b + 21*y + 3555 = 24*y. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -60. Suppose -351 = -5*j + 129. Calculate the highest common divisor of p and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27482 + 59806. Let x = w - 32317.00128. Let u = x + -7. Round u to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 7 + 8 + 7 - 206*u.\nAnswer: -206*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -931027.227 rounded to the nearest 10000?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1099055176 and 10605.\nAnswer: 1099065781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55941207 or -55941206?\nAnswer: -55941207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 + 416. Suppose d*c - 43 = -5*l, -12 + 75 = 4*c + l. What is the smallest common multiple of 420 and c?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 330208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from nwkkwnwnkncwkkkw.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1\/550 (c) -4 (d) 585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v**5 - 140*v**4 + 140*v**4 + (-2*v + 3 - 3)*(-v**4 + 0*v + 0*v).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/11 - 14260*g**3\/11 - 24*g**2\/11 + 171088*g\/11 + 228160\/11 = 0.\nAnswer: -2, 4, 7130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/41, 3\/7, -4, 380.7 in ascending order.\nAnswer: -4, -6\/41, 3\/7, 380.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -5*s**3 + 39*s**2 - 48*s - 22. Let v(c) = -c**2. Let d(j) = k(j) - 6*v(j). Suppose d(r) = 0. What is r?\nAnswer: 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b**3 + 3 + (1 + b - 1)*(3*b**2 + 0*b**2 - 2*b**2))*(76 - 154 + 60).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46725, 46739, 46753, 46767, 46781?\n\"Answer: 14*o + 46711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -34. What is the remainder when 9 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = 4*s. Let x be s*(-4 - (-2 - -2)). Solve m + x = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1627842083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11111101111211 (base 3) to base 7\nAnswer: 26210623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -2*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*y + 24, 6 = -4*d - 3*y + 2. What is the remainder when d\/1 + 126\/6 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4959*q**2 + 15*q - 60. Let g(i) = 2480*i**2 - 7*i + 28. Determine -7*a(o) - 15*g(o).\nAnswer: -2487*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 + 179 - 81*l)*(338 - 338 + 17*l).\nAnswer: -1377*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108310, 108283, 108266, 108259, 108262, 108275?\n\"Answer: 5*b**2 - 42*b + 108347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*y**3 + 86*y**3 + 68*y + 109*y wrt y.\nAnswer: -138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2)\/(sqrt(576) - (sqrt(576) - (sqrt(576) + -2*sqrt(576) - sqrt(576))))*-2.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 286\/3. Which is the third biggest value? (a) g (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405256 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 42. Let s(f) = -f - 8. Let c(a) = 4*n(a) - 21*s(a). Let o(b) = -124*b + 324*b - 120*b. Determine 55*c(l) + 2*o(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 68*u**3 - 134*u**2 + 3*u - 4. Let p(q) = 69*q**3 - 134*q**2 + 2*q - 2. Let m(d) = 2*i(d) - 3*p(d). Find the third derivative of m(w) wrt w.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*x**3 - 378*x**3 + 1827*x**3 - 370*x**3 - 328*x**3 - 376*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/2*(-3)\/15. Let p = g - -20. Suppose b + 0 = 21. What is the highest common divisor of p and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 at least as big as 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 7*j + 10. Let d be h(2). Suppose 3*u - 3*b = 2*b + d, 0 = -4*u + b - 12. List the prime factors of u\/26 + 16896\/312.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**2 + 2*w + 2\/3*w**3 - 6. Determine m, given that r(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -t + 27. Calculate the highest common divisor of t and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*k**6 + 23*k**2 - 2 wrt k?\nAnswer: -20760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let k(d) = 245*d**2 + 45*d. What is k(h(t))?\nAnswer: 980*t**4 + 90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:42 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -54, -72, -90, -108?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 42 = 31*f. Suppose -5*z + 73 = 2*c, -c + 66 = -5*z + f. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16550*1\/(-720) + -23.\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 67 + (4 - (0 + 7)). Let m = 63 - p. Let v(g) = g**2 - g. Let y(x) = x**3 + 6*x**2 - 6*x - 1. What is m*y(u) + 6*v(u)?\nAnswer: -u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let g(z) be the first derivative of 3*z + 11\/2*z**2 + 17. Calculate i(g(r)).\nAnswer: 22*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 60*k**3 + k**2 + 5*k - 10. What are the prime factors of x(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g - 270. Let c = 103 - g. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 915\/4 - 8219\/36. Sort -5.9, 0.1, i.\nAnswer: -5.9, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130371484 + -254371484. What is b rounded to the nearest one million?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 - 5*k + 2. Let d be s(-6). Let w = 8 + d. Solve 2*c + w = -5*a + 1, 5*a = 4*c - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = f - 8, 0*w + 2 = -w + f. Let b = 7 - 5. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/761 - -5335\/3044. Sort -0.2, 0.5, b in ascending order.\nAnswer: -0.2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2591676 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8947025?\nAnswer: 5, 167, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1488 and 30318.\nAnswer: 242544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 201. Let w = c + -49. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 10. Suppose l - 5*s = 2*l - 20, -2*l - s = 5. Let g be u(l). Solve -g*k = d - 4*d - 31, 2*d + 9 = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i + 5. Let m be l(-4). Suppose -2*k - 153 = -m*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/2*((-8)\/2*1)\/(-6))\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-7)*((10 - 0) + -3). Is (t\/8)\/((-2)\/(-1096)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**4\/4 + 103*y**3 - 3578. Solve l(p) = 0.\nAnswer: 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b = -16, 0 = 5*o - 5*b + 10. Suppose -3*i + 0*i = 0. Suppose i = 2*v - 0*v - 8. Solve v*p = o - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 134993118 from 3.416.\nAnswer: -134993114.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1126 and -47\/9.\nAnswer: 10134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.037263 (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373 (base 8) to base 2.\nAnswer: -11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4 (c) 22 (d) 101 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 13*a - 10. Let q be x(-12). Let g be (5\/q + -1)*4. Find the third derivative of 0*i**4 - i**4 + g*i**4 - 2*i**2 - 2*i**2 wrt i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23408\/(-228) - -14 - -84.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 152\/(-6) + (-8)\/12. Let r = 43 + x. Suppose 2*u - r = 3. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-2))\/(40\/470) and -2*((-91)\/6 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 580*h**3 + 17935*h**2 - 64400*h + 47040 = 0. Calculate h.\nAnswer: 1, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 74950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -4*j, 0 = 3*u - 0*j - 3*j + 39. Let y be (u + 2)\/(10\/(-55)). Let z = -10 + y. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from fffftft.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -212*m. Let b(j) = -j. Let p(u) = -8*b(u) + g(u). Let s(k) = k. Calculate s(p(l)).\nAnswer: -204*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.22. Let i be 9\/(-105) + (-1)\/((-21)\/6). What is the closest to -2 in 4, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1)\/(54\/270). What is the tens digit of (482\/(-3))\/((60\/18)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbbk when four letters picked without replacement from bkkkkbb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 442100*g**2\/3 - 160138483*g\/3 - 14495497582\/3.\nAnswer: (g - 442462)*(g + 181)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b + 32*b**2 - 22*b**2 + 21 + 3*b - 16*b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/12672 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (261\/928)\/((-6)\/(-8))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1699 - 1698. Which is the second biggest value? (a) -4 (b) -1910 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) - sqrt(204)*1)*-1)\/(-4*sqrt(4800) + sqrt(4800)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*((-140)\/32 + 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:28 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddadadddddda. What is prob of picking 3 d?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6134?\nAnswer: 2, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8 > 0.1187177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 13. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 63 = -9*w. Let j = -19 - w. Suppose 0 = -j*m - 0*m + 6. Solve 0*d - 5*b = m*d - 6, -18 = d - 5*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-637)\/(-98) - 26)\/3?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dddddeed.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107503, -215025, -322547, -430069, -537591, -645113?\nAnswer: -752635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, -197, 2.\nAnswer: -197, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*r**2 - 1470*r**3 - 20*r**2 + 57*r + 1268*r**3 wrt r?\nAnswer: -1212*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135 and -0.06.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -10*l - 5*q, 4*l - q - 12 = l. Let f = 0 + -1. Which is the closest to 2? (a) -3 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12020210000221 - -11?\nAnswer: -12020210000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and 6.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.75 and 6.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 19975800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126292335*u + 116795246.\nAnswer: 126292335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + l = -139, 2*m + 14*l = 9*l - 119. Let t be 27\/m + (-93)\/(-120). Let y = 0.2 - -0.8. Put y, -11, 3, t in increasing order.\nAnswer: -11, t, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(sqrt(162) + 1) + -2) - (((-1 + sqrt(128))*-3)**2 + -3)*-3)*2.\nAnswer: -504*sqrt(2) + 6972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(108) - (sqrt(108) - (0 + sqrt(108)))**2)*-5*-4.\nAnswer: -600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4)\/((-10)\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q**5)\/(q*q\/(q\/(q\/(q**(-1\/4)\/q)))*q)*q**(-14)*q**(-4\/9)\/q)**16)**(-2\/37) assuming q is positive.\nAnswer: q**(3368\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -s*i = -163 - 47. Let l = -733\/7 + i. Sort l, 2, -2 in decreasing order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 37 + 47. Solve -5*k = -u + 25, -3*k = -w*u + k + 41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 10112300100232?\nAnswer: 10112300100230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*r**3 - 43*r**3 + 22*r**3 + 3 - 11*r**4 to the form p*r**4 + w*r**3 + h*r**2 + x + q*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64944, 129892, 194840, 259788, 324736?\n\"Answer: 64948*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001111011111100 + 101101010101?\nAnswer: -110001001110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 + 207. Let u(t) = 2*t - 16. Let k(c) = 2*c - 15. Let l(j) = s*k(j) + 5*u(j). Determine l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 21*g - 2256 = -4*b, 5*b = g + 2832. Which is smaller: b or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-28)*(-63)\/(-21)*7\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i**2 + 0*i**2)*(6*i + 3*i - 5*i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -909*r*t**3 - 21*r*t**2 - 155*r*t + r + t**3 + 5*t**2 - 3*t - 4621 wrt t.\nAnswer: -5454*r*t - 42*r + 6*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24584766 divided by -12292383.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.06 - 0.16. Let d = h - 6.9. Is 3\/13 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1 = -h. Let v(p) be the first derivative of -2*p**3 - p**2 + p - 190. What is v(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + m. Let g be r(-1). Let d(f) = 2 + 3*f**3 - 2*f**3 - f + 5 - 7*f**2. Let j be d(7). Solve -g*v - 10 + j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 40*h - 256. What is the remainder when 379 is divided by r(8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.569 times -0.4?\nAnswer: -0.6276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.6988 milliseconds in nanoseconds?\nAnswer: 798698800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647552038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 6*m - 5. Let k(u) = -u**2 + u - 1. Let y(c) = -k(c) + q(c). Let h = 409 - 414. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t + 16. Let i = 1286 - 1301. Which is the nearest to 2\/3? (a) i (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 875238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 + 36 = 34*r - 50 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70660339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**6\/6 + n**3\/2 - 2*n + 15. Let y(k) be the first derivative of l(k). What is the second derivative of y(h) wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/21)\/(1080\/(-1512)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/538 and -197\/4080.\nAnswer: 1097520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z**2 - 2*z + 2. Suppose -2*k - 3*a = k - 18, 12 = -2*k + 4*a. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -0.3 (c) -99\/4 (d) 0.9 (e) 0 (f) -3 (g) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1037, -1037, -1035, -1031, -1025?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 267 - 275 + 2*z as r + p*z and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -3, 5, 87?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*w + 2*w. What is the remainder when w is divided by 1 + 3 + -5 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -847511.7 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose 5 = -5*b - t*a, -3*a = -2*b + 5*b + 9. What is the third derivative of -c**5 + 2*c**5 - c**2 + 2*c**b wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - r + 5*r**2 + 15*r**2 - 34*r**2.\nAnswer: -12*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -356*l - 59. What are the prime factors of w(-6)?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 + 0 + 0)*(0 + 0 + 1) + (-s + 10*s**2 - 48*s**2 - 51*s**2)*(11*s**2 + 4*s + 3*s**2 - 11*s**2).\nAnswer: -271*s**4 - 359*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) -212\/33 (c) 5 (d) 0.189 (e) 0.02 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 4 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5 + 69947*f**4 + 979394*f**3 + 4197610*f**2 + 3498175*f - 8745125 = 0.\nAnswer: -5, 1, 69961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2883, -6958, -11033, -15108, -19183?\nAnswer: -23258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxweeixfxxfvveevxxff. What is prob of sequence ef?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.1 - -44. Let l = x - 4. Which is the nearest to l? (a) -1\/3 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 44. Let o be s(-18). Suppose 0 = -w + o + 1. Suppose w*j - 264 = 7*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1072140655*v**4 - 2309*v**2 + 50439 wrt v.\nAnswer: 25731375720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 6600359?\nAnswer: 409222258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -155, -394, -725, -1148?\n\"Answer: -46*z**2 - 9*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**2*w**2 - 181*s**2*w + 3*s*w**2 + 39*w**2 wrt s?\nAnswer: -4*w**2 - 362*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2750 - 2050. What is the highest common factor of u and 420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -20*r - 376. Let s = -8074 - -8055. Determine i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -26 = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -71*w**5\/120 - 5*w**4\/12 - 23*w**3\/3 - 10*w. Let y(h) be the second derivative of s(h). Is y(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 168, 3, 5, 100 in ascending order.\nAnswer: -5, 3, 5, 100, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 11.51?\nAnswer: -92.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003553658 rounded to six decimal places?\nAnswer: 0.000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 1, b: 5}. Give prob of picking 2 b and 2 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.3, 0.5, -1.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttwipppitpppbibw. Give prob of sequence bptp.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -465 - -126?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -5456.18 and -3179.\nAnswer: -8635.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -678, -2\/21, -1\/5, -0.3?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 at most as big as 655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -542 - -1591. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -0.012, -5, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1209637*s**3*x**2 + 6088*s**3 + 12*s*x wrt x.\nAnswer: -2419274*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*x = 6, -3*x = 4*c - x + 16. Let w(i) = -2*i - 1. Let h be w(c). Solve -5*j = h*r + 35, -5*r + 5*j - 7 = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 16a?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1 - 2*a + 2*a + a. Let w(o) be the third derivative of 0*o + 1\/24*o**4 + 1\/3*o**3 + 0 + 3*o**2. Calculate -2*r(n) + w(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*k + 16, -h = h + 3*k - 10. Let l(v) = -h - 19*v - 4 + 24*v. Let n(p) = 2*p - 2. Calculate 2*l(w) - 7*n(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -17, -456, -14 in descending order.\nAnswer: 10, -3, -14, -17, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1200222?\nAnswer: 1200225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33645*y**5 + 11305*y**4 - 100905*y**3 + 33375*y**2 + 22520*y + 60 = 0 for y.\nAnswer: -2, -1\/3, -6\/2243, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q - 18 = 0. Let p = -12 + q. Sort p, 3, 4 in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/23425584 and 89\/3696.\nAnswer: 257681424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 32782932?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 5. Let q(o) = -9*o - 10. Let x(l) = 9*l + 11. Let u(k) = -3*q(k) - 2*x(k). Give 8*j(v) - 5*u(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1 + -8 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.2 + 51. Let u = 0.3 - t. Let z = 0.3 - 1.3. Which is the second smallest value? (a) u (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 2, q: 4}. What is prob of sequence ee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(3087)*2 - sqrt(3087)) + sqrt(63) - sqrt(63) - sqrt(63))\/(sqrt(36)*-5))**2 - (((sqrt(385)*2)\/sqrt(11))\/(-1*sqrt(5)*-2))**2) + -5.\nAnswer: -237\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26744 - 26742. Let d(p) = -p**2 + 3. Let b be d(0). Let q = -3 - -4. Solve -h*j = z + j + q, -z - 4*j - b = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**8\/6720 - j**7\/504 - j**6\/180 + j**5\/24 - 3*j**4\/4 - 5*j. Let l(y) be the third derivative of p(y). What is l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2766451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58765 - 57085 = 48*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 1 = l - 4*q, q - 21 = -4*l. What is the greatest common divisor of l and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.48 (b) -1\/3 (c) -4 (d) 2\/4569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Are 293 and -13300 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 5*j**2 - 9*j + 6. Let b be f(-5). Let t(q) = -q**3 - 5*q**2 - 6*q - 5. Let p be t(-4). Suppose -p*a = -228 + b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-31 + 27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -269, -2\/11, 2\/5 in ascending order.\nAnswer: -269, -5, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*3 + 1. Suppose 6*o = -4*q + z*o + 8, 0 = -o. Suppose q*l = l + 8. What is the greatest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.4. Let d = 3 + 2. Suppose -d = 3*x + 2*x. Which is the closest to x? (a) -0.1 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u*u**(3\/8)\/u)\/u*u)\/u))\/((u\/(u*u**(-2\/29)))\/u)*u**(-2)\/u**(3\/4))**(-18) assuming u is positive.\nAnswer: u**(405\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 7. Let m be c(-9). Let y = m + 68. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191 less than 138132197058?\nAnswer: 138132197058.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 20 - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2098975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 6*z)*(-2 - 2 + 3)*(4 - 4 + 3 + (3 - 2 - 3)*(-3 - 1 + 2) + 0 - 3 + 2 + 4 - 3 - 3 - 1 + 3 + 0 - 117 - 18 + 61 + 2 - 2 + 1).\nAnswer: 201*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + 2 + 4. Suppose -2*w**3 + 4*w**4 - 4*w + k*w = 0. What is w?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70355?\nAnswer: 5, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from vvvfbbbfbfvvvvvffvvf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3762426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 - 5*i - 2. Let v be n(2). Suppose v = 4*f - 20 - 244. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**8\/24 - 4*h**5\/15 + 4*h**2. Find the third derivative of d(m) wrt m.\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + s**2 - s - 2*s**2 - s**3 - 2. Suppose v + 6 = -3*v + 2*y, 3*y - 9 = 5*v. Determine c(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3468133 is divided by 10606?\nAnswer: 10577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 34 - 78 - 3*r - 4 + 297.\nAnswer: -3*r + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -20 + -7 + 7 + 5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9469, -19672, -29867, -40048, -50209, -60344?\nAnswer: -70447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 9*r**2 - 12 - 4*r**3 - 2 + 13 as c + l*r + d*r**2 + j*r**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989302 = 29*g - 992202 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.2 + -10.605. Let m = -0.92 + f. What is m rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, -927363 in descending order.\nAnswer: 1, 0.3, -927363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -43*r + 74. What is the smallest common multiple of 10 and q(-10)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2 - 7*w + 7. Let h(s) = -11*s**2 - 6*s + 6. Determine 6*f(v) - 7*h(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 5*g**2 - 127 + 364.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**3*s - 184*q**3 - 42*q**2*s - 3 wrt s?\nAnswer: -4*q**3 - 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 562 = 136. Let k = h + -66. Suppose -k*x = 5*y - 670, 3*x + 2*x = 5. What is the greatest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 - 20*l**4 + 70*l**2 + 85*l + 30.\nAnswer: -5*(l - 2)*(l + 1)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a**2 + 3*a. Suppose 7*v = -0*v + 35. What is the remainder when f(6) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5775 + -71?\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-3\/29)\/n*n))\/n**(20\/3) assuming n is positive.\nAnswer: n**(-397\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.194 + 350.194. Let g = t + -350.000786. Round g to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12092 divided by 12092\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 546. Let d(g) = -15*g + 1. What is d(t(x))?\nAnswer: -30*x - 8189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -5.2. Let z = 550 + -531.33. Let y = -0.33 - z. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1852 + 1855. Solve -3*z = t - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010695.9538163+-3\nAnswer: 2010692.9538163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 433.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 23, 0.4, -128 in ascending order.\nAnswer: -128, 0.4, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-6) + (21\/(-18))\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5150*l + 5126*l + 684024. What are the prime factors of l?\nAnswer: 11, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 12870?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 + 211. Factor 4*r**3 + 98*r + 22*r**2 + 60 + 29*r - 11*r + 30*r**2 - d*r**3.\nAnswer: -4*(r - 15)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 30. Is l(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 1*(0 - 0). Suppose -c + 2743925 = -m*c. Let q = 948785 + c. What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/2*2 + 0. Let s be -74 + 84 + (-2 + 0 - 4). Solve -s*z - 4*o + f = -6, 5*z = -o + 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-769*l**3 + 4101*l**3 + 604*l**3)*(7*l - 3*l - l) to w*l**4 + r*l + t*l**3 + g*l**2 + q and give w.\nAnswer: 11808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 2*h**2 + 3. Suppose 3*f = 2*g, 2*g - f + 15 = 11. Let s = -22 - -14. Let q(w) = -6*w**3 + 6*w**2 - 8. Calculate g*q(d) + s*v(d).\nAnswer: 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12803 = 3*a + 2147. List the prime factors of a.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2148 divide 732004032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3816281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Suppose -z - h = 4*x - 12, -2*z - 4 = -5*x. Let q be 4\/8 + 9\/x. Solve -7*l - 3*c = -4*l, -q = -3*l - 2*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -474*t**2 + 958*t**2 - 482*t**2. Let q(y) = 2*y**2 - 42. Calculate q(c(h)).\nAnswer: 8*h**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 33. Let j = t + -54. Factor -66*x**3 + x**4 - 2*x - 5*x**4 + 6*x + 78*x**j - 12*x**2.\nAnswer: -4*x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 2275456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1044 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) + 3*sqrt(13) + 5 - sqrt(156)\/(-2*sqrt(12))))*6.\nAnswer: 30 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12)*0\/23. Let v(k) be the first derivative of n*k - 28\/3*k**3 + 31\/2*k**2 + 31. Find the second derivative of v(y) wrt y.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7119489, 31.\nAnswer: -7119489, -5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2175, 4337, 6495, 8649?\n\"Answer: -2*d**2 + 2168*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Let q(z) = -4*z + 0*z + 3*z + 23. Let o be q(22). Put o, 4, c in ascending order.\nAnswer: o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 25 = -23*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 360, 516, 672, 828?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -9*i**4\/4 - 2*i**3\/3 - 149*i**2\/2 - 22. Find the second derivative of b(p) wrt p.\nAnswer: -54*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 36 = 35 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10410123 - -1613?\nAnswer: 10412036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 3) to base 9\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 + 277817*m**3 - 277842*m**3 + 21.\nAnswer: -25*m**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)*y*(y**(-13)*y)\/y assuming y is positive.\nAnswer: y**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 48*s**2 + 40*s - 309. What is f(-47)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 365 - 2*q - 114 as k + p*q and give k.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3727581 and 79\/2033226.\nAnswer: 22365486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**2 + 2. Let f(o) be the first derivative of -o**3\/3 + 7. Determine p(f(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236892.\nAnswer: 2, 3, 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 688139, 1376270, 2064383, 2752472, 3440531, 4128554, 4816535?\n\"Answer: -p**3 - 3*p**2 + 688147*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:12 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 3517000*u + 151221755.\nAnswer: 5*(u + 43)*(u + 703357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18763735 and -9\/526.\nAnswer: 37527470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 8:58 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(-3)*0. Suppose d = -4*w - 3*l + 172, 2*w - w - 43 = -l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c9d38 (base 15) to base 9\nAnswer: 2563668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let i(x) be the third derivative of -13*x**5\/60 - x**4\/12 - 615*x**2. What is h(i(y))?\nAnswer: 169*y**4 + 52*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*a - 14, 413*o - 416*o - 5*a + 57 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 1. Let x(n) = -4*n**2 - 5*n - 5. Let f(s) = s**3 + 47*s**2 + 2*s + 99. Let i be f(-47). What is i*p(z) + x(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.5171ug to grams.\nAnswer: 0.0000375171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 1\/2 (c) -9.1 (d) 2 (e) 15 (f) -161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.49 * 0.3.\nAnswer: -12.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*g + 432, -4*d + g = -128 - 222. Which is smaller: 90 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -10*r + 348. Suppose -l + 25 + 12 = 0. Suppose l*j = 36*j + r. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255009\/67 + -3806. Let d = 3547\/603 - y. Find the common denominator of -41\/81 and d.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2664 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -5*j**4\/24 + 29*j**3\/6 - 38*j**2. Let w be i(2). Solve -5*l = 4*b - 2*l + w, -l = 4*b + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x. Suppose 2*a + a + 3 = x. What is the smallest common multiple of (a - 1) + 1 + 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 2*c**3 - 13*c**3 - 10*c**3.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abba when four letters picked without replacement from aababbbbbbbbbaabbbbb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = -19. Suppose -4*l + 5*g + 11 = 0, -n = -l - 4*g + g. Suppose 0 = -0*h - l*h + 8. Solve -4*s = h*k, 0*k - 5*k + 4*s - 28 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -880 by -220.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Let w = 1 - t. Suppose -x - 3*x + 2*m = -36, -w*x - 4*m = -27. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 660, 1288, 1916?\n\"Answer: 628*b - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 76893*c**2 - 153789*c - 76895.\nAnswer: (c - 76895)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-35)\/7 + 3)*-2*5. Solve -x - 18 + g = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387 - 7360 - (-103 - -4 - 1)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose o + p - 4 = 0. Let z = -64 + 1086\/17. Which is the nearest to 1? (a) o (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-14) + 2\/7. Suppose w = -3*g + 5*g - 159, -g + w + 79 = 0. Suppose 0 = -5*b - g + 100. Solve -2*l + 11 = -h*v + 4*v, -2*v - 10 = -b*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:07 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + 659)\/(2 + (1 - (8 + -6))) is divided by 98.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/((sqrt(36)*-3)\/sqrt(4) - sqrt(9)))\/(-3*sqrt(40)\/sqrt(4) + (sqrt(120) - (sqrt(120) + (1*sqrt(120) - sqrt(120)) + sqrt(120)))\/sqrt(12)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5432988 to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 2\/4. Suppose -2*y + 54 = 2*n, 113 = 4*y + 5*n - i*n. Suppose 0 - y = -2*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3*d. Let f = -9 + 5. Let x be c(f). Let z = 5495 - 5492. Solve z*a - 5*a - x = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u + 8441 - 8441)*(-3*u**3 + 0*u**3 - u**3)*(-2*u + 0*u - 2*u).\nAnswer: 224*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) + (-6)\/36. Suppose a - 86 + 24 = m. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 3*d**2 - 28*d + 27. What is the tens digit of o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43\/2 in -0.1, 3, 6, -0.3, 0.02?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y + 53. Let q be o(6). Sort 30, q, 1 in ascending order.\nAnswer: 1, q, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o**2. Let u(j) = 58*j**2. What is u(t(v))?\nAnswer: 36250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51324 by -191.\nAnswer: 51324\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 7 (c) -9 (d) 707\/17 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0)*5 - (1 + 1 + sqrt(75)))**2.\nAnswer: -80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303522 is divided by 43360.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose -c*w + 20 = 0, 0 = -5*n + 2*n - 5*w - 34. Let b = 4 - n. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79631\/10 - -7975. What is the common denominator of h and -107\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 203.5.\nAnswer: 1831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -114, -757, -1804, -3255, -5110, -7369?\n\"Answer: -202*g**2 - 37*g + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-72.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00126383023 rounded to six decimal places?\nAnswer: -0.001264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -451*n + 1068. Is q(-43) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 - (0 - -12)). Suppose -j*l = -32*l + 1. Let i(t) = -t**2. Let u(c) be the second derivative of c**4\/6 - c. Determine l*u(r) - 3*i(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 841 and -1?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 33 + 33. Let z(i) be the third derivative of j*i + 1\/30*i**5 - 2\/3*i**3 + 5*i**2 + 0 + 1\/12*i**4. Find w such that z(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 13. Calculate the remainder when 21 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129723 is divided by 43064?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 472288*f**2\/9 + 279896*f\/3 + 209920\/9 = 0. Calculate f.\nAnswer: -26240, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(72) - (sqrt(72) - (1*sqrt(72) - sqrt(72)))) - (sqrt(72) + 3*-1*sqrt(72) + sqrt(72) - sqrt(72) - sqrt(72)))\/((-1*sqrt(384)*-2 + sqrt(384))*4).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195142, -194966, -194790, -194614?\nAnswer: -194438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 6*y**2 - 4. Let v = 7 + -13. Let d be o(v). Let x be (-6)\/6 - (1 - 0). Put x, 1, d in increasing order.\nAnswer: d, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*j**3*l + 6*j**3 - j*l - 1463*j wrt j.\nAnswer: -1056*j*l + 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*i - 599*i + 12 = 5*w, 4*w + 5*i = 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = 17 - 185. What is the nearest to u in -0.3, -1, 0.12, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/7 + 30*f**3\/7 + 27*f**2\/7 = 0. What is f?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 61*k + 475. Let l be a(-68). Which is greater: l or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -627 + 631. Sort -5, f, 9 in ascending order.\nAnswer: -5, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745, 771, 797, 823, 849?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 933399 and -7305.\nAnswer: 926094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*t = 15, -3*v - 4*t - 7 = -0*v. Suppose -4*k + 150 = k + 5*n, 3*k - 3*n = 108. What is the highest common divisor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/60 + p**4\/3 + 2*p**3\/3 + 4*p**2. Let f be a(7). What is the units digit of (4 - f)\/(-1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 51.88. Which is the smallest value? (a) 3 (b) j (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - 1 - 1 - 8*v**3 + 3*v**2 + 5*v**4 + 13*v**3 to the form c*v**3 + s*v**4 + m*v + t + p*v**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021588 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**19)\/(o*o**22*o))\/((o**(-12\/11)*o)\/o*o**(1\/2)*o) assuming o is positive.\nAnswer: o**(-933\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195 and 52?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4043579142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h + 40*h + 11 = 3*k, 0 = 4*h + 2*k - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -12\/17, 0.5 in decreasing order.\nAnswer: 0.5, 3\/7, -12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -7*f**2\/2 - 2*f + 2. Suppose -4*m - 6 - 6 = 0. What is the tens digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 + 9*n + 5. Suppose -3*p + 42 = 3*p. List the prime factors of q(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:35 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 31. Let k = 30 - u. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (4 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 639, 737, 823, 891, 935, 949, 927?\n\"Answer: -f**3 + 105*f + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738625, 1477171, 2215641, 2954035, 3692353, 4430595, 5168761?\nAnswer: 5906851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:45 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 + 16?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = j + 20, j = 5*h + 45 - 20. Suppose j = 5*q - 827 + 32. What is q rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + i = -0*i - i, 2*i + i - 15 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.01 - 10. Let p = v - 0.51. Let z = p - -0.6. Does -2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.022 + -0.92. Let v = -24858.297843 - -24858.4. Let a = d - v. What is a rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = -2*s - 3*q, -2*s - 3*q + 722 = 2*q. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 1 + 1 + 3*o - 4. Let k be u(6). Solve k = -y - 2*s + 4, 0 = 2*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 3*n. Solve 2*i**3 + 5*i**2 - 4*i**2 + 2*i**2 - 4*i**2 + i**4 - n*i = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33 + -0.23. Let p = 4.1 + -7.2. Let q = 0.1 + p. What is the nearest to q in a, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 461*q**5 - 11*q**4 - 93*q**3 - 230365*q**2 + 6*q?\nAnswer: 27660*q**2 - 264*q - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97, -89, -85, -85, -89?\n\"Answer: -2*l**2 + 14*l - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43005 rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1164*d**5\/5 + 1715*d**2\/2 + 1807. Find the second derivative of s(r) wrt r.\nAnswer: 13968*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 - 1) + -4 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {s: 1, c: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7 - 134 = -27*h, 4*r - 3*h + 33 = 2*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/3 - 133691*d**4\/3 + 4468521400*d**3\/3 - 13404361004*d**2\/3 - 534752*d\/3 + 17872481344\/3 = 0.\nAnswer: -1, 2, 66844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 102*l - 127630. What is w(224)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -93 - 17. Let a = 117 - x. Suppose 19*c = a*c + 144. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.41053 rounded to one dp?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -16. What is the first derivative of -2*h**2 + f*h**2 + 3 - 2*h + 2*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 7. Let y be u(6). Let p be 17\/((8214\/(-144))\/37) + 11. Is y not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, l: 5, i: 1, u: 3, s: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3527 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*z = 117 - 103, -4 = 4*v - z. Which is the second smallest value? (a) 2 (b) -0.072 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbbegbfgugwbbwuwwg. Give prob of sequence ugf.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Let q be (-1)\/(-1 - 6\/(-9)). Put u, 1, q in descending order.\nAnswer: u, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 29. Suppose f + 3*m + m = 4, -m = -q*f + 25. Is ((-1738)\/(-3))\/(f\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*q**3 + 3)*(16 - 392*q - 17 + 5 - 317*q).\nAnswer: -1418*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3109*o. Let b(j) = 34*j + 14. Determine b(q(k)).\nAnswer: -105706*k + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, h: 1, p: 8, e: 2}. Give prob of sequence llp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/547 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19983058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -1. Let w = 13.0000254 - r. Round w to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272\/3297 - -2\/21. Let m = g + 149\/628. Factor -m + 1\/2*w - 1\/4*w**2.\nAnswer: -(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3)\/(6\/(-94)). Let w(r) = 20*r - 15. Let s be w(2). Let k = b - s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 2*t - 5*t - 2*g - 65 - 81, g + 10 = -t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110010110111011111 (base 2) in base 16?\nAnswer: -2b2ddf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 5 = -17*m + g, -2*m + 3*g - 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 0, -2*m = -5*c - 2 - 7. What is the third derivative of -7 - 4*o**4 - 14*o**2 + 7 - m*o**4 wrt o?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4060*m + 1 + 0.\nAnswer: -4060*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1a1?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -1. Let r(a) = -18*a**3 - a**2 + 4*a + 3. Let n be r(c). Let m = 224 - n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*y**2 - 115*y**2 - 30*y**2.\nAnswer: 149*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-4 - -1) - 0\/(-2). What is the nearest to b in 2\/7, -1\/6, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 495.1636 centuries?\nAnswer: 49516.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246*g - 62*g - 35*g + 122*g to t*g + m and give t.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -53. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(5 + 54\/(-12)). Let p be 4 + (-1655)\/350 + a\/10. What is the nearest to 0.1 in p, -2, 2\/7, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 10, -188, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*j**4 + 133*j**3 - 141726?\nAnswer: -164*j**3 + 399*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-2) + (-11 - -9) + 0. Suppose -3*v - 7 + 23 = i, 2*i = -2*v + 12. Which is the second biggest value? (a) g (b) -0.1 (c) i (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 13*h - 30. Let x(i) = -i**2 + 7*i + 8. What is x(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 - 2 = 0. Suppose -2*k - k - t = -14, 5*k - 3*t = 0. Suppose k*s = -i + 13. Solve 2*c - 22 + 8 = 4*u, -s*u = 5*c + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -24*r**3 - 88*r**2 - 290\/3*r - 100\/3 = 0?\nAnswer: -2, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (4 - 1)) + -2. Let g(t) = -1 + 3*t - t**2 + 2 - 4*t. Let m(n) = 8*n**2 + 11*n - 10. Let j(u) = 6*g(u) + m(u). Calculate j(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:36 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y + 29. Suppose -2*n = -4*j + 36, 5*n + 49 = 2*n + 5*j. What is i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 48. Calculate the lowest common multiple of o(-27) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.068, -0.4, -0.1411, 1 in increasing order.\nAnswer: -0.4, -0.1411, 0.068, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/42465 - 42461\/84930. What is the biggest value in 3, u, -17, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33681234605 - -232.\nAnswer: 33681234837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 4*x + 9, -4*s - 208 = -4*x - 184 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588 is divided by 652?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-4))\/((-3)\/(-30)). Let b be 2\/(-3) - 32\/(-3). What is the greatest common factor of p and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1536126*u**2 + 2225408*u?\nAnswer: -3072252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99, 661, 2221, 5289, 10375?\n\"Answer: 85*n**3 - 11*n**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a + 7. Let g(s) = 5*s - 3. Let i(p) = -5*g(p) - 2*y(p). Suppose 9*w + 52 + 38 = 0. Let t(v) = -v. Let l(q) = w*t(q) + 2*i(q). Give l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 5. Let q be i(7). Suppose 0 = q*b, -3*b - 36 = -6*d + 2*d. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38302 - 5898447\/154. Find the common denominator of n and -7\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 50. Let j be y(-13). Suppose -28 = -5*h + k, -4*h + h = j*k - 9. Suppose -2*m = -5*m + 6. Put m, h, -6 in descending order.\nAnswer: h, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + r**2 + r**2)*(3 - 3 + 2) + 0 + 0 + 2*r**2 + (-1 - r**2 + 1)*(-2 + 0 + 0) + 6*r**2 + 5 - 5 + (-3*r + 5*r - 4*r)*(-3 + r + 3).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -d + 2*d. Let b = -85 - d. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**38)**(-1\/4)*c**33\/(c\/(c**(-8\/13)\/c)) assuming c is positive.\nAnswer: c**(543\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -1\/397, -15\/8, 2?\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 at most as big as -1210454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/2 + 60\/(-15). Let t = -6 - n. Let b be (-95)\/19*(-6)\/t. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52323 (base 6) to base 9\nAnswer: 10576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2)\/10 - 6\/30. Suppose -4*i - 379 = -5*q, -w*q + i = 2*q - 312. What are the prime factors of q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 186667 - 47686. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(17) - (3*sqrt(153))**2) + 0.\nAnswer: -1382 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/30 - h**5\/2 - 11*h**4\/4 - 20*h**3\/3 - 8*h**2 - 24*h. Factor l(m).\nAnswer: -(m + 1)**2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 106277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 17, n: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 232486 (b) -2 (c) 10.7 (d) 2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7792 at most -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5527537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5*h - 14. Let t be q(12). Calculate the common denominator of 71\/10 and 28\/t*20\/(-11).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -90. Suppose 27*j - 455 = -t*j. What is the greatest common factor of j and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 12. Suppose 3 = -l - 2*y, 3*l + y = 5*l - c. Factor -1\/2*i**3 + l*i**2 - 6*i + 4.\nAnswer: -(i - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -86*t. Let n(y) = 0*y - 8*y - 10*y + 16*y. Determine n(k(b)).\nAnswer: 172*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -0.09 (c) -4 (d) 2 (e) 0.3 (f) -1\/899 (g) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 18*q - 105. Determine f(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79118 is divided by 24841?\nAnswer: 4595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1830, 1827, 1826, 1827, 1830, 1835?\n\"Answer: i**2 - 6*i + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/1235 - 1227\/4940. Let r = 10 - 14. What is the closest to i in 1, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*s - 3*t + 60, 4*s - 80 = 3*t. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13194524 and 1106.\nAnswer: 1042367396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 19)*-1 - (3 + -1). Let q = 138 + o. Suppose 3*w - q = -y, -7*y = -2*y - 20. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -55157*y + 2 + 42 + 54935*y. Let u(x) = -2. Let d(i) = -2*g(i) - 44*u(i). Let n(l) = 2*l**2. What is n(d(c))?\nAnswer: 394272*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/153)\/(-7))\/(((-128)\/(-24))\/(-8))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 9 + 29 - 5923002*f**3 + 5923086*f**3.\nAnswer: 84*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.030247 rounded to one dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, -5 in ascending order.\nAnswer: -28, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 8 - -18 - (-5)\/(-1). What is the fourth smallest value in 1\/9, -2\/11, h, 1\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 47 - 8. Solve -3*y - 4*u + 3 + 8 = 0, 4*y - h = -5*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/3 - m**3\/3 + 5*m**2\/2 - 29*m. Let y(r) = 1 - 12*r - r**2 - 6*r - 4*r + 21*r. What is f(q) - 2*y(q)?\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/42)\/(76\/171))\/(45\/12)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 411327155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -45, -79, -147, -261, -433, -675?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let s(f) = -2*f + 259. Determine s(h(t)).\nAnswer: 4*t**2 + 259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b + 334. Let d be u(0). Let w be d\/7 - (-6)\/21. Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1347030, -1347083, -1347136, -1347189?\n\"Answer: -53*o - 1346977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*k + 30 = k, 3*q - 23 = -4*k. Does 4 divide q + 1 + 16 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 776 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8172?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17\/((u\/(u*(u\/u**19)\/u))\/u))\/(u*u**(-2\/17))**6 assuming u is positive.\nAnswer: u**(-107\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 205563 + 2?\nAnswer: 205565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-3 - -3 - 1). Suppose s - h = -s. Let r be s - 3 - (-1312 + -10). Round r to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 146 = -3*q + 2*q, 164 = q - 2*g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 301, -7, 4\/3, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20583?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a - a**2 - 5 + 1 - 3 + 6. Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.103933 micrometers in centimeters?\nAnswer: 0.0007103933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.576 + 0.6. Let h = -256.3 + 246.676. Let o = q + h. What is o rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 41*k**2 - 5*k. Calculate the remainder when 273 is divided by a(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/35*(4\/4 - -34). Let f = 332 - q. List the prime factors of f.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Let i = -1.5 + y. Let a = 3 - i. What is the third smallest value in a, -2, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**9\/5040 - s**8\/2240 - s**4\/24 + s**2. Let p(o) be the second derivative of g(o). Determine u, given that p(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1475\/8 - 737\/4. What is the second smallest value in g, 2, -4\/33, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjidiojjdjj. Give prob of sequence ij.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1785 * 11.897\nAnswer: -21236.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -163 + -863\nAnswer: -1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.3 - -1.3. Let r = d - -6.99999904. Round r to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t + 200. Let g be d(-15). Suppose 11*z = g + 78. Calculate the highest common factor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1194 and -0.2?\nAnswer: 238.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126240.\nAnswer: 2, 5, 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 4596 and 5.\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 22*z - 14*z)*(-3*z**3 + z**3 + z**3)*(32 + 23 - 31) in the form p*z**2 + a + l*z + n*z**4 + f*z**3 and give n.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + -5)*(84\/(-1680))\/((-4)\/(-25)). Let x = 8 + -8.13. Put x, 0, q in increasing order.\nAnswer: q, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273964329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:29 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-3*x + 2*x - 2*x)*(34 + 18 - 13).\nAnswer: -234*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, and 1 x when three letters picked without replacement from xxkvvxkkxvkxvvkxb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*n - 22, -2*l - 2*n - 23 = 3*l. Let v = 17 - l. What is the highest common factor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 + y + 2. Let n = 2 - 2. Calculate the remainder when 3 is divided by m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 50563.\nAnswer: 50562.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87490 is divided by 140?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 6*r**2 + 7*r**2 - 349*r**3 + 348*r**3 to o + c*r + q*r**3 + y*r**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3489300 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -350 or -352?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.4 + 12. Which is the closest to 0.4? (a) -0.5 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, -5, 4 in decreasing order.\nAnswer: 4, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 24*k**2 - 23*k + 2. Let d be t(-23). What is the tens digit of (7\/((-63)\/186))\/(d\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 6 - u)*(2 + 1 - 2) - 3*u + 0*u + u - u - u + 4*u)*(-1 + 7 - 3).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327486, 327542, 327694, 327990, 328478?\nAnswer: 329206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Let g(x) = 0 - 5*x**2 - 1 - 1 + x**3 - x. What is g(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142829 = 3044*g + 58075 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11557 and 529557?\nAnswer: 874298607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10024 is divided by 4542?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129220 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 8*s - 3, 3 = g + 4*s. Let y be (0 - 3) + g + -2. Suppose t + 1 = 2*t - r, t + y*r = 10. Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 153210?\nAnswer: 306420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**3 + 5*w**3 - 4*w - 4 + 3*w**3 + 2*w + 3*w**2. Let s be g(-3). Let b(n) = n**2 + 15*n + 4. Let h be b(-15). Solve -s*a = -a + h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17869*u + 1268730. Determine c(-71).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16266757.\nAnswer: 13, 101, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8109 = 10*w - 8199 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 754 and -1.\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2989*x**3 + 148*x + 2*x**2 - 148*x - 2*x**2.\nAnswer: -2989*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 1. Solve -f = -4*k + 2*b, -b - 2*b - 12 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 14*b - 54 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 62669146?\nAnswer: 3196126446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9408)\/10920 + 12\/26\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -842989.\nAnswer: -25\/842989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/3 + 17\/5. Let m = 4 + -6. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:21 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2 - p**2 - 9 + 26 + 16*p**2 - p. Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -35. Solve x*f + 5*f + 25 = 4*h, -20 = -4*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 2*w - 1. Let l be v(3). Let z be (-2)\/(-1)*-1 - l. Suppose 0 = z*a + a - 6. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -762*u - 1406 - 118 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/((-25)\/6))\/(3\/(-2)). What is the smallest value in -4, j, -0.1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-q - 4 + 4)*(0 + 15 + 14) - 2*q + 4*q + 0*q)*(-15 - 22 - 3) to y + v*q and give v.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 8 = -4*s - 23, 5*s + 5 = -3*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-388*j + 1744*j + 124*j)*((0*j - 4*j + 3*j)*(-2 + 2 - j) - j**2 + 6*j**2 - 2*j**2) to a*j**2 + k*j + f + t*j**3 and give t.\nAnswer: 5920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.59 + 0.19. Let u = l + 4. Put -2, -1, u in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29961.\nAnswer: 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-15)\/((-2205)\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-240046)\/4 - (-1)\/(-2))*(-1014)\/2028.\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39148.\nAnswer: 2, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 90*f**4 + 170*f**3 - 840*f**2 - 175*f + 750 = 0. What is f?\nAnswer: -15, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9. Let q = 4 - 1. Let m be (0 - 3\/q)\/(-3). Which is the third smallest value? (a) r (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 34*o - 45. What is the units digit of c(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17132288 + 10702288. What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 37 (c) -3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l - 3. Let t(x) = 32*x + 8. Determine -11*n(v) - 4*t(v).\nAnswer: -7*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 6. Factor h + 1 + 3*k**3 - 2*k + 15*k**2 + 26*k + 10.\nAnswer: 3*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 + 6540*f**2 - 13140*f - 52400 = 0. What is f?\nAnswer: -1310, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20750 = 5*o + 2*u, 2*o = 4*u - 4756 + 13080. List the prime factors of o.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 2*n**5 - 3*n**5 + 3*n**5 - 3*n**4 + 3*n**4 + (4*n**2 + 0*n**2 - 2*n**2)*(2*n**3 - 4*n**3 + n**3).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 5, a: 2, j: 3, o: 1, v: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0.0917282, -2, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, 0.0917282, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-38)\/1064)\/((-30)\/(-1099)) and -8\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 8*p**2 + 16*p + 14. Calculate g(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let y be (-6)\/(0 + -3) + 0 + -12. Let i(p) = 2*p**2 - 20*p. Let r(k) = y*f(k) - i(k). Let o(n) = 15*n - 3. What is r(o(g))?\nAnswer: -450*g**2 + 180*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 91*c - 68*c + 100*c + 43*c.\nAnswer: 166*c - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = v + n - 42, 0 = -2*v - 4*n + 54. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17248, 14, 4, -1, -7, -3, 0 in ascending order.\nAnswer: -7, -3, -1, 0, 4, 14, 17248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a + 12*z - 14*z, -z = -3*a + 16. Calculate the least common multiple of a and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292816787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8864*q**3*u + 858*q**2*u - 2*q*u - 19842*q + 9*u + 1 wrt q.\nAnswer: 53184*q*u + 1716*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(171) - (-4 + sqrt(171)*1)) + (((sqrt(171) - (sqrt(171)*-1 + 1)) + sqrt(171))**2 - sqrt(171))).\nAnswer: -9270 + 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2599, 2623, 2647, 2671, 2695, 2719?\n\"Answer: 24*r + 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i**2 + 14*i**2 + 24*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1156 and 564?\nAnswer: 162996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 2*x = -11, 5*x = -5*h + 20. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253 or -0.05?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**7\/840 - b**6\/120 + b**5\/40 + 7*b**4\/12 - 13*b. Let o(k) be the third derivative of r(k). Factor o(s).\nAnswer: 3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271606 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -130c (base 16) in base 8?\nAnswer: -11414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*o*p**5 - 368*o*p**4 + 9*o*p**2 - o*p + 2*p**4 + 50 wrt p.\nAnswer: 3240*o*p**2 - 8832*o*p + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*m - 2 - 0, -5*i - 5*m + 20 = 0. Calculate the smallest common multiple of 11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3011 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 59 - 197 - -47\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Calculate the common denominator of -29\/10 and n - -58*3\/66.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/11 and 24\/383 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117690782?\nAnswer: 2, 3, 13, 83, 172643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26887 + 6798. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 2*x - d + 8, -1 = x + d. Let h = 1 + -2. Sort x, h, -5 in decreasing order.\nAnswer: x, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -1\/4 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4548\/5, 0.3, -18, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*o**4 + 1589884*o**3 + 42807202*o**2?\nAnswer: 384*o + 9539304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2612, -5224, -7836, -10448, -13060, -15672?\nAnswer: -18284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-224736)\/(-42138)*9\/26\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.6, -2156, 0, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -4) + 1 + -104. Let c = r - -110. Solve -2*t + 0 + c = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 117405*o + 11397694.\nAnswer: -(o - 117502)*(o + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1485 divide 6853275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from pypppypp?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 - 3 = 0. Suppose -6*g + 28 = -g - 4*r, -v*r - 18 = -3*g. Suppose -g*b - 18 = -6*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + -0.16. Let q = c - -0.0652. Round q to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26227.9824 + 26229. What is k rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 28. Let w = -9 + x. Let q = 14 + w. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -17*r**2 + 1. Let o be i(-1). What is the least common multiple of 14 and 2 + (2*o)\/(-2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + p**2 + 5*p + 4. Let n(r) = -3*r**3 + 2*r**2 + 9*r + 7. Give 3*n(m) - 5*o(m).\nAnswer: m**3 + m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62798941 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3330 by -18.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p = 1. Suppose -2*i + 9 = -p. What is the least common multiple of i and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021624103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiz when three letters picked without replacement from {a: 3, x: 3, i: 4, y: 1, j: 2, z: 4}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:41 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 4.7. What is the third biggest value in m, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1506026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1ce (base 15) to base 7\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 6\/5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = i + 5*k, 23*i + 9*k = 21*i + 23. Which is the closest to 0.1? (a) -9\/5 (b) -0.5 (c) i (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 330.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(49)\/(-5*sqrt(28)))**2 + 0 + sqrt(112) + (sqrt(847) - (sqrt(847) + -1 - sqrt(847)))**2).\nAnswer: 130*sqrt(7) + 84807\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222971913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, -8.\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2166515 litres to millilitres.\nAnswer: 216.6515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*k - 8 = 0, -5*f + k + 6 = -2*f. Is (-14824)\/(-22) - f\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6420 and 7173708.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d**2 + 20623*d + 19*d**2 - 20678*d.\nAnswer: -34*d**2 - 55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 6*a + 22*a + (0*a + 0*a + a)*(2 + 1 - 1) + (-2 + 17 + 14)*(3 - 3 - 2)*(1 - a - 1)*(-3 - 1 + 6).\nAnswer: 133*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*y + 4*a, -y - a = 3*y + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - p**3 - 3*p)*(-46 - 34 + 59).\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.72341.\nAnswer: 1.44682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -15\/2 (b) -1.73879 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-5) - (-4)\/10. What is the least common multiple of (-3 + -17)*(-1)\/b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536338.\nAnswer: 2, 768169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 1944194.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 312 = -20*x - 2*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a millisecond in microseconds?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 2*v + 1. Let c = 22 - 19. What is the remainder when g(c) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**7\/840 + h**6\/90 - h**5\/60 - h**4\/6 + h**3\/3 - 2*h**2. Let d(q) be the first derivative of z(q). Does 8 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose 3*i = 6, m + v*m = i + 6. Suppose m*r = -t + 39, 2*t = -4*r + 3*r + 12. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*r - a = -72*r - 55*r + 194, -4*r - 2*a = 160 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/56)\/((-3)\/84) - (4*3)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 13*z - 20. Let j be s(9). Suppose -c + 147 - j = 0. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 r when three letters picked without replacement from {j: 1, s: 2, r: 3, c: 1, x: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*s - s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 487 - 54545\/112. Let i = 477\/112 + z. Let o(q) = 3*q**3 + 3*q**2 - 3*q. Let v be o(1). Is i > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 7780.\nAnswer: 256740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h. Suppose -128 = -6*g + 22. Let d = -25 + g. Solve -2*c + 8 = q, 4*c + h*c - q - 16 = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -648\/5 - -129. What is the nearest to k in -2\/7, -2\/5, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 5*l - 2. Let k be i(-4). Let v be ((2 - 2)\/k)\/(-1). Suppose -5*n + v*n + 405 = 0. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.7 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096143013?\nAnswer: 7, 353, 443603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 - 7. Let g be -7 - (1\/(-1) + 0). Let x = -6 - g. Give l(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 6. Suppose 2*c = h*v + 258, c - 3*v - 387 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f - 8. Let t(k) = -6*k + 3. Let m(b) = 7*b - 2. Let n(y) = -m(y) + t(y). What is -5*j(c) - 8*n(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -48, -156, -370, -726, -1260, -2008, -3006?\n\"Answer: -6*t**3 + t**2 + t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9999*j**2 - 7*j + 10. Let b be s(5). Round b to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -15*d**4\/2 - d**3 + 77*d**2\/2 - 11. What is the second derivative of v(f) wrt f?\nAnswer: -180*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 minus 5042255?\nAnswer: -5042256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33851*a*q**5 - 22*a*q**2 - 314*a - 688*q**5 + 191 wrt q.\nAnswer: -2031060*a*q**2 - 41280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 - 16 = 4*c. Let w(f) = -f**2 - 4*f - 5. Let a be w(-5). Let j be a\/25 - c\/(-10). Solve -j = 2*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, -98, 15 in ascending order.\nAnswer: -98, -48, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5473160 and 41\/547316.\nAnswer: 5473160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235.06 - -235. Let f = -0.46 - h. Let q(x) = 4*x**3 - x. Let u be q(1). Which is the smallest value? (a) 1\/3 (b) f (c) -4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlrr when four letters picked without replacement from lrrlrl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*t - 230 - 417 = 0, 3*t - 223 = -r. Let c(g) = g**3 + 2*g**2 - 2*g - 1. Let l be c(-6). Let y = l + r. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3*v**2 - 2*u**3 + 73*u**2*v**3 + u*v + 68*v**3 wrt u.\nAnswer: -6*u*v**2 - 12*u + 146*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:44 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 2*h**3 - 7*h**3)*(3*h + 3*h - 5*h + (-2*h - 3*h + 3*h)*(1 - 2 + 2) + 5*h - 2*h - 4*h)*(-2 + 2 - 3)*(4 - 4 + 2).\nAnswer: -96*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0, 0.0252, -0.2, 207.\nAnswer: -0.2, 0, 0.0252, 2\/9, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Suppose 12 = 4*m + 2*r, 14*r = 3*m + 10*r - 20. Let y(i) = 14*i**2. Give m*v(x) + y(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*s - 12. Suppose 0 = -p - 2*t - 8, -3*t - 4 = p - 2*t. Suppose -3*g - 8631 = 4*o, p = -s*g + 6 + 9. Round o to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u - 52227 = 0. Let v = u - -53509. Round v to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**4 - 14379*m**3 - 18461376*m**2 - 2906625372*m - 22078824672 = 0.\nAnswer: -2306, -173, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*o**2*t**2*z + 2480*o**2*t*z - 25*o**2*z + 5*o*t**2*z + 12*t**5 wrt t?\nAnswer: 790*o**2*z + 10*o*z + 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 1303172*f**2 - 3909552*f.\nAnswer: 4*f*(f - 325796)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 51*x - 61*x + 22 to b + c*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1105 divided by 12.\nAnswer: 1105\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/548733341?\nAnswer: 15\/548733341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(3\/11)))\/c**26)**2)**(3\/13) assuming c is positive.\nAnswer: c**(-1698\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 + 67*y - 120. What is q(0)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/150*170\/(-68).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and -0.58.\nAnswer: -1.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 5706*u**2 + 387681*u\/4 + 433333\/2.\nAnswer: (u - 22807)*(u - 19)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 52*t**3 + 57*t + 57. Let o(b) = 13*b**3 + 15*b + 15. Let k(y) = 4*a(y) - 15*o(y). Let r(i) = -39*i**3 - 8*i - 8. What is -8*k(v) - 3*r(v)?\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 50882443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 times 14?\nAnswer: -6426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(9)*-2)\/sqrt(3))**2*-6 + (sqrt(33) - sqrt(528)*3)\/(sqrt(22)\/sqrt(2)*3).\nAnswer: -432 - 11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-34))\/((-10)\/60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3650183 or -3650194?\nAnswer: -3650194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04475 plus 1258001558?\nAnswer: 1258001557.95525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -466b3?\nAnswer: -466b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1166)\/(-616)*-7 + 14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 + 3 = 0. Suppose o - 20 = -5*n + 5*o, 0 = -3*o. Put n, m, -1 in descending order.\nAnswer: n, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10864 is divided by 5054.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4\/2 + 5*w**3\/2 + 30*w**2 = 0. Calculate w.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 13) to base 9\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401839 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292816 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c = 6*c. Suppose c = 3*p + 44 + 55. What is the common denominator of 3 - (p\/(-90) - (-1)\/(-2)) and -76\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -393 and 5583.\nAnswer: -2194119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 71.57499 days?\nAnswer: 103067.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -436*x + 440*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.45 + 0.45. Let m = -2677 - -2663. Sort 5, s, m in descending order.\nAnswer: 5, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3323 > -3327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*s + 15 = 153*s - h, -5*s + 17 = -3*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 1. Let n be s(1). Factor i**3 - 2*i**2 - 2*i**2 + n*i - 2*i.\nAnswer: i*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4111.2549 - 4111. What is d rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 2*g**2 - 4 + 10 + 6 + g**2. What is the units digit of f(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5.34. Let i = r + -0.04. What is the second biggest value in i, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(95)\/(sqrt(500)*3 - sqrt(500) - sqrt(500)))**2*1.\nAnswer: -119\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154114517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6367718, -6367725, -6367732, -6367739, -6367746, -6367753?\n\"Answer: -7*w - 6367711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 13137372.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1380.8 - -2302. Let f = l - 922.1966. Let c = f - -1. What is c rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 14*z - 2. Let g be w(-10). Let t be (-4)\/g + (-1356612)\/(-114). What is t rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-3 + -1 + sqrt(117) - sqrt(117).\nAnswer: -9*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -140420.64 rounded to the nearest 100?\nAnswer: -140400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20425409.\nAnswer: 769, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126230090?\nAnswer: 2, 5, 7, 337, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 0. Suppose -5*v = 5*w - q - 60, 32 = 2*w - 2*v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 - (-9 - -22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 + 0 = 0, m = -3*f + 337. Suppose -d = -401 + f. Is d a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 4 + 20080*v**2 - 4 - 14299*v**2.\nAnswer: 5781*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 23*b**2 - 4*b - 17. Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.49 - -0.69. Let b be (-12)\/140 - 1\/5. Sort b, h, 0 in increasing order.\nAnswer: b, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68362139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 12*r - 11. Suppose -3*w + 0*w = -i - 5, -3 = -i + w. Let g be t(i). Let m = 87 - g. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in years?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4)*w\/(w*w\/(w*w\/w**(1\/3)))*(w\/w**3)\/(w*w**(1\/11)))**(1\/39))**6 assuming w is positive.\nAnswer: w**(-358\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 147*x - 70. Let f(h) = -147*h + 67. Let o(u) = 4*f(u) + 3*v(u). List the prime factors of o(-8).\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(102)\/sqrt(3)*-4)\/(-2*sqrt(72) + sqrt(72)) + (3 + (-1 + sqrt(425) - sqrt(425)) + sqrt(425))*-6)**2 + -4).\nAnswer: -531632\/9 - 2816*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, 2, -2\/3, -575, 3962?\nAnswer: 3962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149150717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 3*l + l - 2*c, 2*l = -c + 101. Let n be 9\/6*l\/9. Let f = -8 - -32. Calculate the highest common divisor of n and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2 + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1725480869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-1 + 1)) + (-117 - (-9 - 65))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12 - 2 - 1 + 2*b + 12*b**2. Let k be -119 + 113 - 13\/(-1). Is p(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 136101 + 25526 - 30085 = 2188*c for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1764, 102, 5, -2 in ascending order.\nAnswer: -2, 4, 5, 102, 1764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/3 + 336*l + 4000\/3 = 0?\nAnswer: -500, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*w - 2*w + 8, 2*l = 4*w + 4. Let c be 33 + (-4 - (-3 - w)). Suppose c*q = 35*q - 126. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - -123.3148993539\nAnswer: 124.6148993539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 179, -0.5, 12.\nAnswer: -0.5, -0.1, 12, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 238524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 12768849.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38662686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 178.2409ms?\nAnswer: 178240900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m. Let q(v) = -70*v. Let y = 74 + -126. Let w(o) = y*d(o) + 6*q(o). Let b(p) = 2*p. What is w(b(c))?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*q + 3 - 15, 6 = 4*d + 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*5)\/((sqrt(40) - sqrt(10))*-6 - sqrt(10))*5*4 + -3.\nAnswer: -200*sqrt(17)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, -60, -178, -340, -546, -796?\n\"Answer: -22*z**2 - 8*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 17 - (3 - (-52 + 61)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 6*d + 104, -2*o - 23 = 2*d + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25.67709 kilometers?\nAnswer: 25677.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.5608 rounded to the nearest integer?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43689*s**3 - 21124*s**3 - 22639*s**3.\nAnswer: -74*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204011 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125819 by 336.\nAnswer: -125819\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 216.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-12)\/8)\/(9230\/(-840) - -11). Calculate the highest common divisor of h and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8732 divided by -21.\nAnswer: 8732\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28097916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -511 - -554. What is the greatest common factor of g and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271261.6824 rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 62, 96?\n\"Answer: 34*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3)*(-3)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 v when three letters picked without replacement from alxltalljaxxvjaatjax?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-168) - 126874364\/24. Let i(m) = 253304*m**3 + m**2 - m - 2. Let z be i(2). Let n = y + z. Round n to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 167924.67 months?\nAnswer: 13.9937225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895361?\nAnswer: 895361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3. Let v = 8 - 13. Let c be (-81)\/(-15) + 2\/v. What are the prime factors of n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15900.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**2 - 3. Let u(h) = -8*h + 3924*h**2 + 8*h - 4 - 3906*h**2. Calculate 4*q(r) - 3*u(r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**2))**(-4\/3))**(-10\/3) assuming l is positive.\nAnswer: l**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140113022411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 27*p + 18. Let n(o) = -3. Let k(d) = c(d) + 6*n(d). Let m(l) = 12*l**2. Determine k(m(i)).\nAnswer: 324*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(245)*3 + 3.\nAnswer: 3 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i. Suppose 8*m = -4*m + 96. Let n(j) = -17*j - m + 9 - 9*j. What is a(n(r))?\nAnswer: 52*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70\/171 - -12\/19. Which is greater: n or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*d + 43*d - 2*m - 21, -4*d - m = -39. Solve -24 = -d*g + 13*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-46)\/((f\/f**2)\/((f\/(f**1*f))\/f*f*f)) assuming f is positive.\nAnswer: f**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -43*w**2 + 131*w**2 - 50*w**2 - 74*w**2. Let y(k) = 0*k - 2*k + 4*k. Calculate i(y(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 + 148*v + 743 wrt v.\nAnswer: 4*v**3 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 3*sqrt(931)*-2*1))**2.\nAnswer: 6300*sqrt(19) + 838125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)\/(-3)*1. Let i be 3 - (2 - 5)*y. Solve 2 = -h - q - i, -2*h = 3*q + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -1\/35, 4\/3, -3\/5?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78504063689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 - 3*x**2 + 2. Let q be i(2). Suppose -5*o = 4*k - 33, -5*o + 82 = -5*k + q. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {y: 2, i: 3, c: 4, o: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 51*u - 456. Let x(l) be the second derivative of u*l - 1\/12*l**3 + 0 + 0*l**2 - 1\/12*l**4. Suppose x(w) = 0. What is w?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7*56\/(-24)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t**2 + t - 5. Let i(w) = 4*w**2 - 2. Let z(k) = 5*i(k) - 2*j(k). Let l(p) = 6*p**2 - 5*p. Let n = 744 - 736. Determine n*z(m) - 3*l(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 200038*y\/3 + 6601012\/9.\nAnswer: 2*(y + 11)*(y + 300046)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let x(a) = 4*a**2 + 4. Determine x(l(z)).\nAnswer: 4*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllliill. Give prob of sequence lll.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3540 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -6, 3, -508, 2 in increasing order.\nAnswer: -508, -126, -6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -251.\nAnswer: 1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/88 and -51\/2344.\nAnswer: 25784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = 4*s - 352, 4*j - 28 = 40256*s - 40260*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.134 + 2.\nAnswer: -4.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50354443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -252 - 543. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 8. Let c = -1.0559 + 0.0559. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 5. Let i be x(-3). Suppose -6*b - 16 = -4*b. Let f = b + i. 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: Simplify ((a*a**(6\/11))\/a**(5\/3))\/(a**(3\/16))**(9\/7) assuming a is positive.\nAnswer: a**(-1339\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1 + 6*v + 0*v + 6 - 4*v**2. Let a(x) = -x**2 - 30*x - 354. Let f(o) = -o**2 - 4*o - 58. Let b(z) = -a(z) + 6*f(z). Give -3*b(l) + 4*r(l).\nAnswer: -l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4)\/((-13)\/26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3175 and -9?\nAnswer: 28575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -27117, -3\/4 in decreasing order.\nAnswer: 5, 3, -3\/4, -27117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001896 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18 = -5*y. Let d be (-1 - y) + (-1 - -2). Suppose -3*m - d + 4 = c, -c = 4*m + 10. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 35*j**2 - 35*j + 75.\nAnswer: -5*(j - 1)*(j + 3)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68512645*w**3 + 195972606 wrt w.\nAnswer: 205537935*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10334412 (base 5) in base 15?\nAnswer: 1b9dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176447320 divided by -4?\nAnswer: 44111830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-1\/42)\/(c*c**(-3\/5)*c*c\/(c*c\/((c**0*c)\/c*c))) assuming c is positive.\nAnswer: c**(-299\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 12:12 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/120 - 7*g**4\/48 - 2*g**3\/3 + 36*g**2. Factor y(h).\nAnswer: (h - 8)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -2434, -2446, -2458, -2470, -2482?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by (16\/24)\/((-2)\/(-39))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + u + 13, 2*c - u = -13 - 4. Let i be 2 - ((2 - 0) + c). Let l = i - 1. Solve 3*f = l*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720288360 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107417 or -107421?\nAnswer: -107421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 2 - 2*o + 6*o**2 - o**3 + 0*o + o. Calculate the remainder when 22 is divided by m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16450\/17325 - (-32)\/(-36).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284.7 + 3.\nAnswer: 287.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5443 divided by -34.\nAnswer: -5443\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 r when four letters picked without replacement from rirxrrxrxrrrirrrr?\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 2*b - b + b**2 + 10 - 4. Let y(m) = m**3 - 6*m**2 + 4*m + 3. Let f be y(5). Let i(h) = h + 1. Give f*r(n) + 11*i(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 21, 2, 1, -1 in descending order.\nAnswer: 21, 2, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:51 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.350919 times 0.4?\nAnswer: 0.1403676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -534 (base 13) in base 9?\nAnswer: -1186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - g**3 + 6*g**3 + 200417*g**2 - 200578*g**2 as t + w*g + c*g**2 + f*g**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 greater than -5573\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmc when three letters picked without replacement from {n: 4, c: 6, x: 4, g: 3, k: 1, m: 2}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 29 = -5*o. Solve 5*f + o*w + 2*w + 45 = 0, -2*w = -4*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 28*d**5 + 3*d**3 - 3*d**2 + 3. Let r(c) = -28*c**5 - 4*c**3 + 4*c**2 - c - 4. Let x(l) = 4*h(l) + 3*r(l). Find the second derivative of x(y) wrt y.\nAnswer: 560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + 17 + 9 + 42 + 1 + (-25 - -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13719413?\nAnswer: 401, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18*b + 50. Determine y(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 206*j\/5 + 204\/5.\nAnswer: 2*(j + 1)*(j + 102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d - 8*d - 7 + 23*d. Let k(s) = 4*s - 3. Suppose 5*x + 4 = 19. Calculate x*y(q) - 7*k(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**2 + 288*o - 1567. What is n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 232, -0.1, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1)**2 - sqrt(19) - (sqrt(19) - (-3 + -4*sqrt(19))).\nAnswer: 8*sqrt(19) + 929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, 0.3, -5, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**4 - 13*o**2 + 10*o - 13. Let s(u) = -u**2 + u - 1. Let b(z) = -6*i(z) + 78*s(z). Find the second derivative of b(f) wrt f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (11 + -8) - -156) + 6\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -1, -3, -5, 5 in decreasing order.\nAnswer: 18, 5, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 6. Suppose -3*r + 50 = 2*r. Let a = r - 4. Let s(d) = -d**2 + 1. Let u = 3066 + -3065. Give a*s(g) + u*l(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 - 8*a**3 - 4*a**4 + 2*a**4 - a**4 + a**4 + 71*a**4 + 513*a**4 + 19*a**4 + (2*a**2 - 5*a**2 + a**2)*(-2*a**2 + 2*a - 2*a).\nAnswer: 605*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011211220000 (base 3) in base 13?\nAnswer: -18c42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126237899 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 - 4*y - 3. Let m be g(6). Suppose 20 = -5*t, 68*c = 63*c + 4*t + 31. Solve -c*s + 0 - m = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*-6*16\/72. Let z(i) = -3 - 3*i - c*i - 23*i + i + 11*i. Let y(q) = 3*q**2. Determine y(z(k)).\nAnswer: 1452*k**2 + 396*k + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**3 - m**2 + 3*m - 3. Let q(u) = 11*u**3 + u**2 - 4*u + 4. Give -3*q(w) - 4*r(w).\nAnswer: 11*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2697 = -7*j + 9*j - 3*j + 88*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:32 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 451773.4 hours?\nAnswer: 27106404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1089 = 688*l - 8577 - 1342 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-90 - (1 + (-23 - (8 + -17)) + 18))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4\/3 + 35*r**2\/3 + 10*r = 0. Calculate r.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(3 + 3 - 5)*(m - 99580*m**2 + 49728*m**2 + 9 + 49698*m**2) to f + o*m + y*m**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115.308 + -0.099.\nAnswer: 115.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - ((26 - 0) + -18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -o + 1, 3*h = h + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2132\/657 + 26\/73. Calculate the common denominator of g and (-19809)\/(-403) - -6*(-3)\/117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -102?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 30988356?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17*s**2 + 11*s + 3. Let h(z) = z**2 + 2*z - 1. Let w(f) = -3*h(f) + n(f). Let d be w(-4). Let p = 513 - d. List the prime factors of p.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -8*w + 11*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*l - 4 + 8, -n - 4*l = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 20*y**3 + 8*y**3 + 13*y**2 - 494 + 519 + 13*y**3. What is l(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -31. Which is smaller: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 605212\/6792033265 - 2\/278191. Does 0 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 1654863255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3567\/270 + (-2)\/8. Let f = u - 227\/20. Let a = -1006 + 20041\/20. Calculate the common denominator of f and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-2)\/16). Let o(n) = -2*n + 1. Let t(b) = -b + 1. Let z(v) = v**2 - 12*v - 15. Let p be z(13). Let h(m) = p*o(m) + 3*t(m). Calculate h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 5*n**2 + 10*n**2. Let t(k) = 25*k**2. Calculate t(l(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*z + 12 - 15, -5*w = -4*z + 17. Let s(m) = -4*m**2 + 2*m + 1. Let a(i) = 5*i**2 - i - 1. What is z*a(j) - 3*s(j)?\nAnswer: 2*j**2 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.017 in 2\/13, -0.1, -2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2)*(-14)\/105. Let i be (-1)\/(-1*(-3)\/9). Let g be i + 1 + (-2)\/(-1). Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -41*x**3 + 3*x**2 - 3. Let s(o) = 122*o**3 - 8*o**2 + 8. Let z be (-48)\/120 + 17\/5 + -6. What is z*s(v) - 8*b(v)?\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -773167 (base 12) in base 9?\nAnswer: -3503767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(475) + -1)**2 + -4 + 0 + 5)*1 + -4.\nAnswer: 10*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/136877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*a + 237, -203665*a = -5*c - 203662*a - 389 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08752 + -1.08752. Let o = -11 + 11.3. What is the nearest to -1\/3 in 0.08, y, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003822076538 rounded to 6 dps?\nAnswer: -0.000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.485168 rounded to 2 decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 38022.99m?\nAnswer: 38022990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -1185?\nAnswer: 82.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 32*c + 107. Let o be u(35). Suppose -2*a - 5*t - 3 = -6*a, 3*a = -o*t + 31. Solve 12 = 3*p - a*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:55 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 - -42?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p + 22. Let o be i(-9). Suppose 0 = -5*v + 19 - o. Solve -n + 0 + v = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145997\/6 - -93438341\/3840. What is the common denominator of -137\/2304 and g?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-9)\/(-6))\/((-6)\/(-388))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 69. Let j(y) = -5*y**3 + 13*y**2 + 13*y + 8. Let t(r) = r**3 - r**2 + 2*r. Let d(n) = p*j(n) - 4*t(n). What is d(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18399 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3551295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 22. Let j(l) = -3*l**2. Calculate t(j(m)).\nAnswer: 3*m**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.784 - 0.5?\nAnswer: -4.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -197. Let t = -2884 - -2901. Calculate the remainder when c is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7148 = c - m, -2*c - 14*m + 9*m + 14317 = 0. Let a = c - 529187\/74. Find the common denominator of a and -5\/22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/30 and -11\/820.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33321.45 days to microseconds.\nAnswer: 2878973280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -118752180 divided by -716\nAnswer: 165855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.74 and 321264944?\nAnswer: 321264940.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 54 = 3*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*i**2*v**3 - 5464470*i**2*v**2 + 9576*i*v**6 wrt v?\nAnswer: -300*i**2 + 1149120*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 19906.\nAnswer: -59718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(77) - ((sqrt(77) + sqrt(77) + sqrt(77)*-2)*-4 + sqrt(77) - sqrt(77)))\/(-1*(1*sqrt(7) + sqrt(7))) + -3*((4*sqrt(22)\/sqrt(2))**2 + 5).\nAnswer: -538 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3 - -27) + (-972 - -968).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1505?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)*u)\/(u*u\/(u\/(u*(u*u\/(u\/(u**(2\/23)*u))*u)\/u))))\/((u*u**(2\/11))\/u**(7\/4)) assuming u is positive.\nAnswer: u**(-10721\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46083 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011111 + 11010101000?\nAnswer: 1010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/4201 or 1?\nAnswer: -6\/4201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7288, -3\/4, -2, 2\/3, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 420 (b) 7 (c) -3\/7 (d) 0.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000195067 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j**2 + 5*j**2 + j**3 + 16 - 4*j**2 + 14*j. What are the prime factors of y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v*v\/((((v**3*v)\/v)\/v)\/v))\/v*v))\/(v**(-2)*v*v*v))\/(v**6\/((v**7\/v)\/v)))**41 assuming v is positive.\nAnswer: v**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 5*h - 3. Let r(y) = -3*y**2 - 63*y - 15. Determine -r(p) + 5*v(p).\nAnswer: 8*p**2 + 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b. Let c be a(-1). Let u = 170 + -253. Let o = u - -88. Solve -c*j - o = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.1, -3\/2, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 13. Let d be 0\/((-1 - 0)*n). Is d not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928680907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let x be g(5). Let a(m) = m**3 - 5*m**2 + 6*m - 3. Let s be a(x). Suppose s*p - v = 165, -2*v + 17 = p + v. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-5 - (-28)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d7a + -1?\nAnswer: -d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -327 + 335. Solve 3*p - i = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*l - 5*l = 0, 3*w = 4*l - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(-9\/8)*(p*p**7)\/p*p*p**(3\/2) assuming p is positive.\nAnswer: p**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, x: 1, i: 3, v: 5, w: 2}. What is prob of sequence vx?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 130. List the prime factors of w.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(-1*sqrt(54)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580.82um in centimeters?\nAnswer: 0.258082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = h + 3*h - 114, -3*h + 74 = 5*a. What is the least common multiple of h and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/36)\/((-39)\/(-36)). Let v = j + 1\/13. Let u = 0.4 + -0.2. What is the nearest to u in v, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*9.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/68122 or 1?\nAnswer: 17\/68122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057)*-4*-1 - (-1 + sqrt(51)\/sqrt(3)*5 + 3 + 2 + sqrt(17)))**2.\nAnswer: 752*sqrt(17) + 150228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + o + 501 = 0, -o + 97 = b + 2*o. Let u(g) = -7*g - 2. Let a be u(-6). What is the highest common factor of a and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n**(-16))\/n)\/n))**(2\/9) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 86*x + 3 - 73*x - 89*x to the form f*x + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5041 = -979. List the prime factors of i.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*g - 2 + 14, 5 = -5*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 2, h: 6, e: 2, p: 6, o: 1}. Give prob of picking 1 h and 1 s.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, -13, -128, -367, -772, -1385, -2248, -3403?\n\"Answer: -7*w**3 + w**2 + 13*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 6?\nAnswer: -131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 21*k**2 - k - 19. Let n be a(-21). Suppose b - n*h = 148, b - 1 = -5*h + 168. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + h + 1. Suppose 22*i = 24*i + 2. Give v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/(-9)*1386\/(-1694))\/(2*(-1)\/11).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526988?\nAnswer: 2, 7, 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*c - 2, 5*t = -c - 2 + 19. Let b = -3 - -5. Suppose -2*q + 3*r + 15 = 0, t*r + b = r. Are q and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*n*n)\/(n**(-1\/9)*n))\/(((n\/(n*n**(2\/7)\/n*n)*n)\/n)\/n*n\/(n\/((n*n*n**(3\/4))\/n*n))) assuming n is positive.\nAnswer: n**(1423\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10053935360 and -1.7627.\nAnswer: 10053935358.2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5670*k + 5676*k + 90 = 0, -s + 16 = -k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*g - 972 = 218 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -23*q**2 + 9*q - 9. Let s(w) = 11*w**2 - 4*w + 4. Let i be 48\/18*(-15)\/10. Calculate i*k(c) - 9*s(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3346 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*o**3 - 250*o wrt o?\nAnswer: 924*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046473.344 microseconds to weeks.\nAnswer: 0.00000173028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5 - 0)*-37*245\/(-329966).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.032646ms in hours?\nAnswer: 0.000021675735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 4 + (-36)\/3*-17. What is n rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*y - 787 = 0, -5*n = -4*y - 708 - 579. What are the prime factors of n?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -1190, -2679, -4754, -7409, -10638?\nAnswer: -14435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 11*r - 16*r - 5*r + 5. Let n(m) = -46*m + 26. Calculate -3*n(c) + 16*s(c).\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5516 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 377891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1102304002 (base 5) to base 12\nAnswer: -970179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*k, 4*k + 5*j - 63 + 11 = 0. Suppose 0 = -k*l + 5*l. Are 1\/5 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.72 - 162.28. Let n = j - -158. Sort -3\/5, n, -1\/3 in increasing order.\nAnswer: n, -3\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 66*p - 128 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -18, -27?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u + 3 + 6*u - 3*u**2 + 0. What is the units digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622361*m**4 - 3*m + 3889.\nAnswer: 7468332*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q + 32300 = 76*q - 142*q. Calculate the smallest common multiple of 3800 and q.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 487 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 533830 or 533790?\nAnswer: 533830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 1\/2, 5, -3\/8, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -71, 13?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(-2*y - y + y) - 120 + 120 - 9*y)*(-3*y**2 + 3*y**2 + y**3) to l + s*y**2 + q*y**4 + b*y + i*y**3 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/2 - k**4\/4 + 2*k**3\/3 + 6*k - 11. Give v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34661.\nAnswer: 11, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 9*k**2 + k + 18. Let y be n(-9). Suppose 33 + 48 = y*u. What is the remainder when 4\/10 + (-203)\/(-5) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1922431.678 to the nearest one thousand.\nAnswer: -1922000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:10 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 2085 = 22*u. What is the units digit of (10\/(-15) - 0)*u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 115 + 35 = 0. Suppose -3*h = -v - 27. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - -302.2. Let k = r - 424. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/11 + (-5700726)\/(-10131858)\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 7*z - 4*z + 5*c, -3*z + 4*c = -76. Let o(i) = -i**2 + 41*i + 34. What are the prime factors of o(z)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 4*u. Suppose 0 = -u*x + 8 - 0. Let c be ((-18)\/7)\/(2\/(-14)). Solve -3*p - c = 3*r, 1 = p - x*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -0*o - 3*o - 3*j, 364 = -4*o + 2*j. Let k = -2058 + 32829\/16. Find the common denominator of (-4 - -1) + o\/(-22) and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1068139 and 107373.\nAnswer: 1175512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/930 - -1399\/3720. Which is the nearest to 1? (a) 17\/4 (b) y (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337595520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*u + 2*a, 3*u + a = -1 + 14. Let s = 178 - 46. Suppose 119*i - s = 108*i. What is the greatest common factor of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 52. Let m be h(-11). List the prime factors of (-103*(-4)\/m)\/(2\/(-4)).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5135 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70036.\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308247864 to the nearest integer?\nAnswer: 17557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**3\/3 + 2*p**2 - 2*p + 5. Let d(x) be the first derivative of -x**3\/3 + 5*x**2\/2 - 2*x - 104. Determine -4*a(g) + 3*d(g).\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10017.86 * -0.06\nAnswer: 601.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let r(c) = -3*c + 1. Suppose -7*i - 7 = 7. Determine i*r(a) - 5*k(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 2583214?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -551*d - 7. Let s(n) = 271*n + 3. What is -6*h(q) - 13*s(q)?\nAnswer: -217*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 16*q**2 + 24*q - 19. Determine p(17).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - (-3 + 0). Let v(p) = -p**3 + 3*p**2 - 4*p + 3. Let n be v(z). Let k = -96\/25 - -238\/75. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -3, -5, -72, 0 in ascending order.\nAnswer: -72, -5, -3, 0, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595796 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awjdvdp. What is prob of sequence pv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + 84\/15*185. What is the greatest common divisor of 1314 and b?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101001110?\nAnswer: -101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*(-1)\/(-2))\/((-58)\/(-2204)). Let w = -34 - m. Sort 1, 5, w, 29 in decreasing order.\nAnswer: 29, 5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -16071.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*t - 8957, 5*c - 2*c - 11943 = -4*t. Suppose -3*z + t + 1299 = 0. Let q = z - 3128. Round q to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + z + 62 = -35, -2*o + 4*z = 112. Let h be 7\/15 + (-10)\/o. Which is the third biggest value? (a) h (b) -9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112708*b**3 - 4*b**2 + 4*b**2 + 24411*b**3.\nAnswer: -88297*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 6. Let d(u) = 2*u**2 + 6*u - 9. Let s(t) be the first derivative of 5*t**3\/3 + 7*t**2 - 21*t + 49. Let j(q) = -14*d(q) + 6*s(q). Give g(j(y)).\nAnswer: 8*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let f(r) be the third derivative of 0 + 0*r**4 + 8\/15*r**5 + r + 0*r**3 - 2*r**2. What is f(n(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2 + 33*h - 33*h. Let b(f) = -3*f**2 + f + 2. Let u(i) = -102*i**2 + 30*i + 60. Let v(d) = -30*b(d) + u(d). Give g(v(r)).\nAnswer: 1152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2, -247390, -44?\nAnswer: -247390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1151, -9498, -32135, -76208, -148863, -257246?\n\"Answer: -1191*p**3 + p**2 - 13*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 23765676.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 2*d**2 - 10*d + 8. Let q(h) = -5*h**3 - 2*h**2 - 11*h + 9. Let v(u) = 5*q(u) - 6*x(u). Let g be v(4). Let i = g - -29. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 7*u + 4 = -5*u, -5*a - 2*u + 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/5)\/(1\/((-45)\/(-9))). Let l(n) = 21*n**2 - 10*n + 26. Is 4 a factor of l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:57 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.59 + -0.59. Let g = t + -38.2. Let j = -3.19946 - g. Round j to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388*s - 1383*s + 57 = 3*v, 0 = v - 6*s - 58. Let r be (-4)\/(-10) + 56\/10. Solve 0 = -v*o + 2*o + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.689 - -0.011. Let z = -1.5 - 0.5. Let x = g + z. Which is the third smallest value? (a) x (b) -0.5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/35)\/((-3 - (-110)\/35)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -578 or -579?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 2*r, 8*f - 3*f + 16 = 4*r. Find k, given that f*k**4 - 3*k**5 - 4*k**4 + 4*k**4 + 3*k**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 + f + 1. Let m be d(2). Suppose -m*o = o - 12. Suppose 0*h - 60 = -4*h. Solve 0*l = -o*l + h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1871438, 3742908, 5614410, 7485944, 9357510, 11229108?\nAnswer: 13100738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {f: 2, l: 10, w: 6, m: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2, -32, -3, 0.2, -45\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4968 = 37*q - 45*q. Calculate the greatest common divisor of q and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 53*g**2 - 72*g + 231. Let r(b) = -55*b**2 + 73*b - 233. Let c(d) = 6*r(d) + 7*x(d). Is c(36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15535 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14*1\/(-23))\/((-2415)\/345)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 206*z - 6*z**2 - 416*z + 25 + 44 + 212*z. Let s(w) = -2*w. Give k(s(b)).\nAnswer: 24*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 250 (base 6) to base 16\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22\/(-121) - (-1256)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 41. Suppose 0 = 4*y - 7*y + 39. Suppose -y*l + 11 = -12*l. What is the remainder when r(0) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7216*t + 114 = -7210*t. Solve 16*n + 1 = t*n - k, -3 = 5*n + 3*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 8:22 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116659747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*k + k - 210, 4*k - 132 = -2*b. Is 34 a factor of -2 + b + -1 + 2 + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49974 divided by -3\nAnswer: 16658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let i(m) = 5*m**2 - 5*m**a + m**2. Let g(r) = -3*r + 4. Let p(t) = 8*t - 11. Let x(f) = 11*g(f) + 4*p(f). What is i(x(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -37*((-1 - -1) + -1). Suppose 0 = 4*r - 5*w - h, 3*r - 17 = r + w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -100. Put b, 2, -14 in descending order.\nAnswer: 2, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -34*b**3\/3 - b**2\/2 - 4*b. Is q(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3475537?\nAnswer: 13, 19, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-834)\/(-10). Let l(j) = -j**3 - 8*j**2 - 3296*j - 36618. Let a be l(-11). What is the greatest common divisor of p and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + 10*v + 13*v)*(2 + 1 - 1)*(4*v - 3*v + v + 2).\nAnswer: 52*v**2 + 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 0.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-1)\/(-2) + -11. Let a(w) = 8 + 9*w**2 - 4*w - 6*w + w**3 + 0*w**2. What is the units digit of a(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -0.18, -9 in descending order.\nAnswer: 8, 2, -0.18, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94547408\/5 or -18909482?\nAnswer: -94547408\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6814, 6942, 7068, 7192, 7314, 7434, 7552?\n\"Answer: -x**2 + 131*x + 6684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -15 + 6 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 14*d + 17. Let q be i(13). Let u = 27989\/1302 + 2\/651. Find the common denominator of (q\/10)\/((-216)\/(-9810)) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (502\/26 - 19)*(-2 + (-51)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**3 - 2*f**2 - 39*f**3 - 3*f**2 + 5*f**2 + 3*f**3.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2801, -5571, -8341, -11111, -13881?\n\"Answer: -2770*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 66*v**2. Let h(q) = 585*q - 105. Let p(m) = 11*m - 2. Let j(o) = -2*h(o) + 105*p(o). Determine j(g(w)).\nAnswer: -990*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135 + 687 - (-3 + 1)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adc when three letters picked without replacement from {z: 2, w: 2, a: 2, d: 4, u: 1, c: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001558 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 8*v + 11. Let n be f(9). Suppose 3*c - n*w - 298 = -0*c, -2*c = 3*w - 177. What is the remainder when c is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6165, -12329, -18493?\n\"Answer: -6164*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -12. Let i = 17 + d. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**6\/27 + 2*l**5\/45 - l**4\/18 - 2*l**3\/27 + 85. Factor j(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**2 + 17*d**2 - 9*d**2 - 15*d**2 to r + t*d**2 + z*d and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 82, 301, 732, 1447, 2518?\nAnswer: 4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46976.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105192701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (585\/(-1110))\/13*4\/9\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b - 2*a, 5*a - 4*a = -5*b + 20. Suppose 0 = -b*x - 2*n - 26, n - 2*n = -3*x - 12. Put 1, x, 0 in ascending order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -48*t. Let u = -294 + 298. Let r(s) = -6*s**2 - u*s + 3*s + s. Give b(r(q)).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*10\/(-15) - -2)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -121.6. Let g = -4.6 - -7. Let h = g + z. What is the closest to 0.1 in -0.5, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1334 - -1354. Solve -v - r = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5988 - 5418. Solve -y*w = -574*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. What is the greatest common divisor of 9 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-40)\/25 - 1465\/(-25). Suppose 0 = -4*v - v + 30. Suppose -v*f + 49 = -m. What is the least common multiple of 3 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/((-5)\/(20\/(-8))). Let i(v) = -v**2 - o + 20*v - 4*v**3 - 21*v + 6 - 1. Give i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*((t*t\/(t\/t**(-1)))\/t)\/t*t*t*t)\/t)**(-5\/14)*(t**(-8)\/t)\/t**(-8)*(t\/(t\/(t**1\/t)*t))**(-2\/13)\/(t**(2\/7)*t**2) assuming t is positive.\nAnswer: t**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 133?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*k - 16 = 0. Calculate the remainder when 45 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2885474 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t + 38*t = -14*t + 784896. Calculate the lowest common multiple of t and 8760.\nAnswer: 61320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-121) - (-156)\/(-110). Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**2\/2 - 7*z. Let o(a) = 2*a + 2. Let i(s) = -o(s) - 2*u(s). Let c(r) = 44*r - 44*r - 8*r**2. What is c(i(y))?\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 16.1772 nanograms?\nAnswer: 0.0000161772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 27*k**2 + 15*k - 7. Let g(q) = -25*q**2 - 11*q + 6. Give -4*g(u) - 3*j(u).\nAnswer: 19*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -142.87. What is the biggest value in 3, -2\/5, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + u + 4. Let q = -106 - -106. Let s be k(q). Solve 0 = s*m + 4*b + 24, 3*b - 4*b = 2*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18065159227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -0.3 (c) 14\/9 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 7 - 0\/(-2). Let c(s) = 10 - s**2 + s**3 - s**2 + 10*s**2 + 0*s + s. Let f be c(o). Put 3, -3, f in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/494 and -15\/39598?\nAnswer: 752362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9302, -18602, -27902, -37202?\n\"Answer: -9300*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5 + 357*v**4 + 177*v**3 - 59073*v**2 + 275184*v = 0.\nAnswer: -117, -16, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let n be 3\/(-6)*-4*(-6)\/(-12). Give f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrggomnj. Give prob of sequence rj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(91)\/sqrt(7) + 5 + -5).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 2*q + 3*q**2 + 7*q - 5*q**2 + 3*q**2.\nAnswer: q**2 + 5*q - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2888\/(-209) - 6\/33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 3513 - 3513.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)\/(h*h\/h**6))**(-4\/9) assuming h is positive.\nAnswer: h**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2422 + -4?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) 54 (c) -1.84 (d) -1.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -6048?\nAnswer: 6057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/12 + 2*h**3\/3 - 55*h**2\/2 + 7*h + 26. Let y(d) be the first derivative of a(d). Differentiate y(f) with respect to f.\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5372950 or 5372946?\nAnswer: 5372946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 3*x**2 + x + 2. Suppose 3*v + 2*v = 10. What is the units digit of k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869\/9*(-10 - -13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18211 = 41*w - 13072. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -21 - ((-14937)\/234 + 44)) + 0.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Suppose -14*t + 56 = -0*t. Suppose 3*k - 43 = -3*i + 68, 164 = t*k - o*i. Calculate the highest common factor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54672 divided by 4?\nAnswer: -13668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11930.59421 + -11853.983. Let p = g - 168.6108. Let z = -92 - p. What is z rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 49436.23?\nAnswer: 49436.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in 7\/5, -62.9, 4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29545 and 1312767?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13285556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.288 - -7.288000675. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113762 is divided by 849?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 436 = 3*x. Let u = -94 - x. What is the smallest common multiple of 1 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*k*w**5 + 3*k*w**2 + 44*k - 7*w**2 wrt w?\nAnswer: -6840*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:33 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103125 (base 7) to base 12.\nAnswer: -a440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (3 - 0)\/(3\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 16*t = 4294 - 4426, 12 = 5*v + 4*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 29*a. Let w(u) = -2*u**2 + 88*u. Let f(t) = 17*r(t) + 6*w(t). Factor f(n).\nAnswer: 5*n*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30517268*b + 41361970?\nAnswer: -30517268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o + 1. Let j(b) = b**3 + 10*b**2 + 10*b + 13. Let s be j(-9). Calculate the remainder when c(s) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, -9\/67, 1, 0.5 in descending order.\nAnswer: 1, 0.5, -9\/67, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-16) + ((-76)\/32)\/19)*(-13)\/1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229098 is divided by 10411.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {t: 7, l: 6, m: 1, y: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 8*z - 5. Let s be j(5). Let n = s + -23. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.643 + 0.357. Is m equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -7186.\nAnswer: 3\/7186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 21*l**2 + 7*l - 31. What is z(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 0*m**2 - 1 - 224*m - 2 + 203*m as h*m + l*m**2 + v and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2. Let t(g) = -43*g - 6*g + 88*g. Determine q(t(k)).\nAnswer: -3042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*k + k + 14, 5*k - 7 = c. Let n(o) = -o**2 - 5*o - 4. Let h be n(c). Let y be (-86)\/h + 4\/18. What is the greatest common factor of y and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165 + -135 + (1 + -6 - (4 + -13)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-1176.1\nAnswer: 82.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1985 + 8202. What are the prime factors of u?\nAnswer: 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2 - -3) - -4. Suppose 0 = c - n + 1. Suppose 4*s - 5*m - 11 = 11, 5*m = c*s - 25. Solve 4 = s*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 172*w + 1408.\nAnswer: -(w - 8)*(w + 352)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 13. Let r be x(-16). Let n(m) = -m**2 + 4*m + 5. Let q be n(10). Let c = 38 + q. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 1, o: 4, t: 2, g: 6}. Give prob of picking 1 t and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433 - -291. Let s = -131 - f. What is the least common multiple of s and (0 - (3 + -2))*-6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8 - 3*f**3 - 9*f + 2*f**3 + 8*f**2 + 0*f**3. Let t be i(6). Let g = 6 + t. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 50. Let a = 24 + t. Solve 0 = -5*i + a*d + 10, 2*d - 4 = -i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 26. List the prime factors of 2\/j + 930\/39.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 5110400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**2 + 1. Let b be q(1). Suppose 0 = 4*d + 4 - b. What is the least common multiple of d and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.5 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 489, 488, 487?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 + (3 - (8 + -4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -61 (c) 0.2 (d) -7 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.433 (b) 5\/3 (c) 0.07 (d) -0.2 (e) 0 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 38778525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4047 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31293936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 10 + 1 + -5. Suppose 11 = 2*w - b. Suppose -5*m + 27 + 108 = 0. Calculate the remainder when m is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 155*k**2 - 420*k.\nAnswer: -5*k*(k + 3)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/165)\/((-3)\/9). Suppose -2*f - 10 = -2*p, 0*f - 4*f = -3*p + 20. Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (176\/72)\/(-11) + (-34)\/90\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1181, 2076, 2971, 3866?\n\"Answer: 895*y + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252600 - 4*c**2 - 252600.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145.2000891 + 145.2. Round z to six decimal places.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = y - 3, 2*h - h = 4*y - 12. Suppose 6*a - 4*a = h. Suppose -3*i + 2*l - 8 = a, 20 = i + 2*l + 3*l. Solve -2*j + 0*j + 2 = i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 594698\/18819 + -1306\/41. Let m be 2 - (-3)\/(162\/(-88)). Let x = l + m. Which is the nearest to -0.1? (a) -3 (b) x (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1310, -1\/12, 34, 2\/9?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-34) - (-34)\/1156*-208.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 308?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (638\/110 - 1\/(-5)). Solve -k*z = 4*w + 1, -6*z = -z - 2*w - 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)\/(u**5*u))\/(u\/(u\/u**(3\/4))*u**1) assuming u is positive.\nAnswer: u**(-271\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Is s(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose z*t = 2*t + 55. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7904715 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 9. Let q = -1 + 0.9. Sort 1, q, w in descending order.\nAnswer: 1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005312 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 60*f - 2221. Determine d(38).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - 35\/15. Let m be t\/(-7) + 276\/14. Solve 7*w = 2*w + m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -34*b - 197. Let n be i(-6). What is the second biggest value in -1, n, 121?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4242 - 2007. Calculate the greatest common divisor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 - -150. Let f = -33.5 - -33.2. Which is the nearest to -5? (a) -3\/4 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 - -65. Let n = 30 + t. Suppose n*i = -0*s + 2*s - 138, 3*i = 5*s - 317. What are the prime factors of s?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/36 and (12\/8)\/((-36)\/146)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1609, 301, -1007, -2315, -3623?\n\"Answer: -1308*i + 2917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 15, -337, 5 in decreasing order.\nAnswer: 15, 5, 3, -1, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*960\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) + (sqrt(378) - (sqrt(378)*-2 - sqrt(378)) - sqrt(378) - sqrt(378))*-2)\/(-1*-6*sqrt(24)\/sqrt(4)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 26\/47, 3, 1387\/8?\nAnswer: 26\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -30) + -16 + (2 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose -4*o = -5*y - 2*o + 23, m*y - 13 = o. Find the first derivative of y - 3 + 2 - 2*q**4 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2187 and 2.\nAnswer: 4374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1643*k**8\/56 + 128*k**4\/3 - 141*k - 6. Find the third derivative of n(r) wrt r.\nAnswer: 197160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-8 + 6 - -1) + (0 - 44))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-2 + 2 - 2). Suppose 0 = 5*x - 4*q - 6 + 1, -14 = c*x + q. Let m be (2 - 290)\/x + -1. What is the highest common factor of 38 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-50)\/15)\/((-2)\/(-6)). Let k = 13 - r. Put -5, 4, k in decreasing order.\nAnswer: k, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u**2 + 187*u + 1468 = 0. What is u?\nAnswer: -4, 367\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**5 - 115*l**4\/4 + 5*l**3\/3 + 115*l**2\/2 + 535. Factor r(z).\nAnswer: -5*z*(z - 1)*(z + 1)*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*g + 26*i - 17*i - 172 = -3*g, 10782*g = 10787*g - i + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 1208*y + 28704.\nAnswer: 4*(y + 26)*(y + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171345810721\/100 + 1713583582. Let m = -125476 + i. Find the common denominator of -17\/110 and m.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4830, -19343, -43538, -77421, -120998, -174275, -237258, -309953?\nAnswer: -392366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417708852.\nAnswer: 2, 3, 94936357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let r(b) = b**2 - 2*b + 3. Let a be r(o). Let d = -1 + a. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 + 39)\/(44\/(-24) + 2) + 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-4)\/(-32)*-12. Suppose 2*z + 3*z = i. Suppose c = 5*c. Solve c = 3*m + z*v + 18, 0*m - m + 3*v = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k + 398. Give s(-41).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + n = -28, -5*n - 20 = -2*t + t. Suppose -t*i + 5 = -10. Let -4*a**2 + 2*a + a - a**3 + i*a**3 - a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 10 - 10 + (11*i + 51 - 51)*(2 - 2 + 1)*(-4 + 1 + 2)*(0 + 2 - 1) to k + d*i and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 + 6*v**2 - 4*v - 5. Let j(r) = r**3 + r**2 - r. Calculate -6*j(y) + z(y).\nAnswer: y**3 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/10 + (-14)\/35. Let o(j) = j**2 + 7*j + 12. Let d be o(f). Suppose -3*r - d = -a, -a + 2*a + 8 = -4*r. Let i(z) = z**3 + z - 1. Determine i(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 6*o**2 + 4*o + 6. Let g be a(5). What is the units digit of ((-20)\/2)\/(-2) + g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7363590 divided by 6.\nAnswer: -1227265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 17*c**2 - 18*c + 20. Let t be z(18). Find the common denominator of 7\/(-2)*6\/t and -17\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/11 in 1, -0.5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001694 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/42 and -25\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 3 - 4 + 1. Let z(j) = 3*j**2. Determine y(z(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 663217712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123219056.\nAnswer: 2, 7701191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {s: 1, y: 1, o: 10, x: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -55*i + 332. Let d be t(6). Solve d*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 6 - (17 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416)\/sqrt(8))\/sqrt(4) + -1)*6.\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8923 + 124851\/14. Let i = 10 + -9. Find the common denominator of a and (-89)\/(-4) + i - (-25 + 26).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*m - 40 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*o**4 - 620*o**2.\nAnswer: -3336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcnnoocccccclcnlc. What is prob of sequence lnl?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111111 - 110?\nAnswer: -11001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 8708 + d**2 + 8708 - 2*d + 2*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 16. Calculate the remainder when 11 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)*b**(-1\/2))\/((b**1\/b*b)\/(b*b**6*b)) assuming b is positive.\nAnswer: b**(165\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*i + 5*v + 40, 4*i + v = 53. Does 24 divide i\/32 - (-2 + 3605\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1243382*f**3 + 5926764*f**2?\nAnswer: 7460292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36958.\nAnswer: 3\/36958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -29 (b) -12265\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349842315 to the power of 1\/3, to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, 3381 in increasing order.\nAnswer: -17, -1, 3381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1189, -1168, -1145, -1120, -1093, -1064, -1033?\n\"Answer: a**2 + 18*a - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 448209400 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.05. Let s = 0.41 - -1.49. Let o = s - -0.1. Which is the nearest to 0.1? (a) y (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -728 + 18203\/25. Let n be (1 - (-10)\/(-6))*-3. Let r be n\/(-3 - (-2 + 1)). Is r < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 27. Suppose -7*n + 9*n = c. Find the third derivative of 2*u**n - 29*u**2 + u**2 - 19*u**5 wrt u.\nAnswer: -1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 27, 13 in increasing order.\nAnswer: -5, 1, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-760)*528\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/80 and 169\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9344 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*h - 1. Let l = h - 2. Let n(w) = 11*w**2 - 5*w + 7. Is n(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 - 4*k**2 + k - 3. Let m(h) = -6*h**3 + 5*h**2 - h + 4. Determine -5*l(q) - 4*m(q).\nAnswer: -q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.5 and -23.9.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 31*y**2 + y + 10. Let k(z) = 2*z**3 + 30*z**2 - 8. Calculate -5*k(w) - 4*n(w).\nAnswer: -2*w**3 - 26*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*w + 4 = 0, -2*l - 4*w + 7 = -3*l. Let o = 15 - l. Let z be (-4)\/10 + 24\/o. Calculate the highest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.504 - 15410.1.\nAnswer: -15524.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/110880 + g**7\/9240 - g**6\/1980 - g**5\/60 + g**2. Let p(h) be the third derivative of z(h). Factor p(q).\nAnswer: -2*(q - 2)*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4319092\nAnswer: 1\/1079773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.313 - 0.187. Which is the closest to 0.07? (a) -1 (b) -3\/2 (c) w (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23 = -4*n, -6 = n - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30896, 30897, 30898?\n\"Answer: n + 30895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n + 1704 = 3*m, -2*m - 4 = 0. Suppose 4*b + 0*w - 2*w = n, -b = -w - 140. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 52*n - 29. Give c(52).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 3 + -1)*0. Suppose -2*p + 21 = p - 3*r, r + 4 = n. Suppose y = -12, -3*q + 65*y + 36 = 62*y. Solve p*j + j = q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 26406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let l(f) = 3*f**2 - 3*f - 4. Let m be l(s). Suppose 4*g = 68 + m. Solve 0 = -a + 6*a + g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 1*sqrt(832))*-5 - sqrt(832))*1 + ((sqrt(117) + sqrt(117) + -1 + sqrt(117) + sqrt(117))**2 - (-1 + sqrt(13) + 0)).\nAnswer: -113*sqrt(13) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1749118*f + 8745593. Determine i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2032 divided by 44311.\nAnswer: -2032\/44311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in 0.6, -0.5, -3, -2, -9414?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 23. Let l(g) be the third derivative of -g**5\/60 - 11*g**4\/24 - 19*g**3\/6 - 11*g**2 - 18. Let i be l(k). Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:56 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t + 55. Let s(u) = -24*u + 109. Calculate 13*q(m) - 6*s(m).\nAnswer: m + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 5\/8, -5\/2, -6, 0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -3)*(-8)\/4. Let t be (-22)\/(-6) - b\/12. Let r(w) = w**2 + 4*w**2 - t*w**2. Let d(a) = 7*a**2. Determine d(r(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(-5*sqrt(4)) + (sqrt(875)*-5 - sqrt(875)))\/((sqrt(252) + 2*sqrt(252))*-1 + -1*sqrt(252)*2).\nAnswer: 151*sqrt(5)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155548 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 1*sqrt(1053)*-2)**2 - (-5*-6*-1*sqrt(1053))**2*-2.\nAnswer: -216*sqrt(13) + 1886958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = 4*a + 55*a - 1755490. Is a a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959386 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 224*k**4\/3 + 225*k**2\/2 - 2*k - 821. Find the first derivative of b(u) wrt u.\nAnswer: 1792*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 - 3*w + 2. Let d be i(2). Let v(z) = -4*z + 11. What is v(d)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, 4 in increasing order.\nAnswer: -29, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r**(-2\/23)\/r)**(8\/9) assuming r is positive.\nAnswer: r**(1088\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(15)\/(sqrt(30)\/(sqrt(6) + sqrt(6) + (sqrt(6) - 2*sqrt(6)))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + 0 + 5 + -8. Suppose -36*a = -41*a - 355. Let s = 80 + a. Which is greater: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 9*n**2 - 7*n + 4. What is the units digit of k(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:26 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (68 + 17 - 34).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*d = -2633 + 2638, -2*d = -3*i - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1137, -3\/101, 2\/5 in descending order.\nAnswer: 1137, 2\/5, -3\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*b - 48, 1345*r - 1341*r - 4*b = 44 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68966791*d**3 - 15*d + 4813975.\nAnswer: -413800746*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 < -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 0.1, -49 in decreasing order.\nAnswer: 75, 0.1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1068\/160 + -6 + 45\/(-120) - (-22)\/44.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 3*o - 40, -o - 1 = -6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 12 - 117. Let t be 0 - 1 - 16\/(-1). Calculate the highest common divisor of b and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*g + 102*g - 210 + 8*g wrt g.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*v + 282 = 2*u, 4*v + 12 = 0. Let t be 21\/u*(-2)\/2. Let y(g) = 11*g**3 - g**2 - g - 2. Let o be y(-1). What is the closest to -1 in 3, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:54 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -31*g + 4. Suppose 2*j + 3*n = 16, 0 = 3*j + 4*n - 26 + 4. Calculate the least common multiple of v(0) and 2 + (j + -3 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -d00c?\nAnswer: d013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 2*d + d**2 + (2 + 2 + 3)*(d**2 - 7*d**2 + 9*d**2) as z + q*d**2 + o*d and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**1))**17\/(a**(15\/2)\/(a*a*(a*a*a\/(a\/(a**19*a)))\/a)) assuming a is positive.\nAnswer: a**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 12, 4*f + 0*f + 2*p = 16. Suppose f*y - 11*y + 455 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/24 - -3\/8. Let w = -370\/3 + 19237\/156. Let z = w - 3\/13. Which is the smallest value? (a) z (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(176)) - 1*(-1 + sqrt(11) - sqrt(11))*-5)**2.\nAnswer: 48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*i*p**3 + 832*d*i*p + 228648*i*p**3 - 3*p**3 wrt d.\nAnswer: 3*i*p**3 + 832*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17178*z - 17385*z + 34582*z. Let b(l) = l + 5. Let w(n) = 2*n + 4. Let f(g) = 4*b(g) - 5*w(g). Calculate x(f(u)).\nAnswer: -114*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4107226 (base 9) to base 2\nAnswer: -1000010110101100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:02 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1151164, -2302317, -3453470, -4604623?\n\"Answer: -1151153*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035419 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjppjajaj. Give prob of sequence apj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447126*h*v**2 + 3*h*v + 42*h - v + 23 wrt v?\nAnswer: 894252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00204519015 rounded to 5 dps?\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + t = 869, -m = -2*m - 2*t + 442. Suppose -6*g = 90 - m. What is the second derivative of -3*j**5 + 2 - g*j + 33*j - 2 wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -78*r + 22. Find the common denominator of -5*r - 5125\/(-1350) and 133\/156.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928.7021km in meters?\nAnswer: 928702.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, k: 3, z: 2}. Give prob of picking 3 p and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -2\/11 (c) 0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:13 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15 + (-74)\/(-6). Let l be (1 + 2)*32\/q. Let x(i) = -i**3 + 7*i**2 + 9*i + 3. What is x(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 10*y - 3. Let a(c) = -4*c. Let n(m) = 2*m. Let z(p) = y*a(p) + n(p). Let q(v) = 47*v**2. Give z(q(b)).\nAnswer: -94*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/6*1\/(-5). Let w = 23 + -18. Suppose -12 = w*j - j. What is the third smallest value in v, j, -0.02?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651, 610, 569, 528, 487, 446?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -18. Let g(n) = 5*n + 12. Let i = 37 - 39. Let w be g(i). Solve 5*m + w*z - 9 = 0, m + u = 2*z + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*-5*sqrt(245)*2)**2.\nAnswer: 882000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -870\/7 - -124. Let r be -2*(-1 + (-21)\/(-15)). Which is the closest to p? (a) 0 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 11*t**2 + 38*t + 320. Let q be l(-12). Solve 3*s + 10 = -2*g - 2, -5*g + q = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -6 + 12 - 11) + 29 + -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247 - -263. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4374909?\nAnswer: 3, 7, 11, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 9. Let i = 29 + -25. Let j be a(i). Let n(l) = -l**3 + 2*l**2 + 6*l - 1. What is the units digit of n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93048345, -93048351, -93048361, -93048375?\n\"Answer: -2*r**2 - 93048343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242606 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 70 + 83 - c)*(1 - 4 + 5)*(-885 + 885 + 103*c).\nAnswer: 206*c**2 + 2678*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*i - 31, 4*i = -5930*l + 5933*l - 23 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - (0 + 6)) + -4649 + 4633.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 - 7*d - 2. Let q be b(-6). Suppose -3*g = 75*y - 76*y - 14, 2*y + 2*g - 28 = 0. Calculate the highest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 3.9. What is the nearest to i in 0.4, -0.05, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 + -10 - (-1 + 3). Solve u = y + 2 - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/12 + 4*m**3\/3 + 5*m**2 + 4*m. Let a(h) = h + 2. Let p be a(6). What is the tens digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38975538*c**5 - 3*c**2 + c + 169711 wrt c.\nAnswer: 779510760*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from dmobp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from snpsezzp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from lelllglggjllglhgg.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 19266b3?\nAnswer: -19266aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 70*l**2 + 640*l + 1026. Let h(n) = n**2 + 1. Let g(x) = 2*h(x) - o(x). Solve g(d) = 0 for d.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276*a**2 + 380564*a - 55160.\nAnswer: 4*(a + 1379)*(69*a - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -11*s**6\/30 - s**5\/15 + 5*s**4\/24 - 5*s**3\/6 + 10*s**2. Let o be f(2). Does 6 divide o\/(-15) + (9\/15)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 23*v**3 + 1\/24*v**4 + 0*v**5 - 31\/15*v**6 + 0*v + 38*v**2 + 0. Find the second derivative of n(m) wrt m.\nAnswer: -1488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/120 - 4*p**3\/3 - 5*p**2 + 2*p. Let y(s) be the first derivative of k(s). Let h(a) = -17*a - 12*a + 9*a. Give y(h(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (31 + 25)*(-1)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-108))\/((-3)\/(-324)*3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 11281141.\nAnswer: 11281140.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188234710?\nAnswer: 2, 5, 17, 19, 101, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(17))**2*-4.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x + 8. Let g be y(8). Let s = -23 + g. Let v(n) = 30*n + 0 - s - 31*n. What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5702, 5865, 6136, 6515?\nAnswer: 7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.93 + 3.64. Let p = v + 0.29. Suppose r + 3 = 2. Which is the closest to 0.1? (a) -0.3 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*h + 5. Let v = 1 - h. Let k = 14 + -13. Sort 0, v, k.\nAnswer: 0, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = -4*h - 5, 0 = 3*h + 6. Differentiate 199*k**3 + 45*k**4 - 7*k**4 - 32 - 199*k**o with respect to k.\nAnswer: 152*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0*u + u + 23 = 0, 0 = u + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/8, 1\/7, -6\/61, -1\/4?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a factor of 203917617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -56*r + 713. Let x be z(12). Solve 3*j - 22 = -s + 3*s, -5*s - x = -4*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*i - 47 = 0, 3*i - 16 = -3*o + 17. Let r = -146.5 + 146. Sort o, -0.2, 4, r in decreasing order.\nAnswer: o, 4, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -45\/2. Let t = 1.6 + -2. Let d = 0.3 + t. Which is the closest to d? (a) -0.1 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 2 e when four letters picked without replacement from nnnzzenzneennnnz?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810227 and 730?\nAnswer: 8102270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -2) + (-1 - -3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w - 4. Suppose h - 6 - 7 = -3*g, -3*h - 31 = -5*g. What is the smallest common multiple of w and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140630255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from sykdt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-49.1.\nAnswer: -49.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50010 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -64 - 139\/11\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/378*(-7028)\/16315\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -31. Suppose -j = 4*j - m. Let -w + 0 - w**j + 2 + 4*w**2 - 4*w = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47a (base 15) in base 13?\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 + 5*g**2 - 14*g - 2. Let n be k(-11). Let m = -4 - n. Which is the third smallest value? (a) m (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (3 - 4) - -5. Suppose -5 = -2*h - 1. Let d be -3 + 7 + h\/(-2). Solve 5 + 0 = d*m - b, 5*m = -f*b + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*(-33)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -33\/7, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 - w - 2 + 3. Let y be u(3). Let o(r) = -17*r**3 + 13*r**2 + 4. Let v(t) = 8*t**3 - 6*t**2 - 2. Calculate y*o(z) - 13*v(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 109, 174, 259, 370, 513?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i*x**3 - i*x**2 + 5*i + 8*x**4 + 6 wrt x.\nAnswer: -18*i*x**2 - 2*i*x + 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-24)\/9)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 20 + 160 = 0. What is the greatest common divisor of 260 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 127*-4*3\/(-6). Suppose p = 5*o - p - v, 5*p + 10 = 0. Suppose 4*x + x = o. Calculate the highest common factor of x and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44546*r*u**2 - 1413*r*u + 2*r - 4*u - 2 wrt u?\nAnswer: 89092*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 3 - c + 4*c + 3*c - 3*c to p*c + w + i*c**2 + h*c**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in two fifths of a milligram?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 7321 - 7321. Which is the nearest to 9? (a) 47 (b) -2 (c) 3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202143531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16259346 divided by 2493?\nAnswer: -6522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 35 - ((0 - -1) + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g - 1 + 1)*(1 + 2 - 1)*(-20 - 7 - 9) as y + r*g and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-135)\/(-18) + -6 + (-403)\/(-2). Let i = v + -200. Solve 4*z - 5*z = i*c - 12, 4*c - 16 = -3*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {g: 4, y: 4, o: 1, e: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0. Let i = -1.2 + h. Let j = i + 1.4. Put j, -4\/7, -2 in descending order.\nAnswer: j, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1347.02439809 + -2776252.97568591. Let p = -2777649 - n. Let w = 49 + p. Round w to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 40. Suppose -4*v = -7*v - c - 54, 4*v - 3*c = -85. List the prime factors of l(v).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0*(-1)\/(-2). Let w(x) be the first derivative of x**4\/2 - x**3\/3 + 8672. What is w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.2162 years in decades?\nAnswer: 63.92162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 2*l + 0 - 2 + 5.\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(400) + sqrt(400) + (sqrt(400) - (sqrt(400) - 2*sqrt(400))))\/(sqrt(8) - sqrt(80)\/(2*sqrt(10))).\nAnswer: 2 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = c - 4*u, c - 5*u = -13. Let j(r) be the third derivative of -103*r**4\/24 + 16*r**3\/3 - 92*r**2 - r. Is j(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6.94. Let s = w + -5.06. Let p = 7 + s. What is the nearest to -0.1 in 0.5, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 20. Let s = -7 - b. Suppose -3*w + 52 = 4*k, 0 = s*k - 0*w - w - 46. Solve -2 = 2*l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 39 + (-4)\/(-2). Let a be (h\/12)\/(4\/6). Is (-1135)\/(-25) - 2\/a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19088161.9 rounded to the nearest ten thousand?\nAnswer: -19090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 18*z**2 - 6*z - 12. Let u(x) = -x - 23. Let j be u(-5). Is s(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321 + 166621.\nAnswer: 166942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.3078 and -1.02?\nAnswer: 28.873956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 5*c**2 + 3*c + 2. Let h be (-2 - -4 - 4) + 5. Let a be b(h). Is (3 + -4)*a*1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334745779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 25*y**8\/2688 - 33*y**7\/28 + 2329*y**6\/960 + 29*y**5\/16 - 233*y**4\/48 - 13*y**3\/2 - 740*y**2. Suppose j(k) = 0. What is k?\nAnswer: -2\/5, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 40*w = -2*f + 4580, 0 = -4*w - 28. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11177253 and 519.\nAnswer: 11177772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 11*o - 8. Let p be v(6). Let l be 0 - (-1 + 10\/6). Is p greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 6*r - 27*r. Solve 7*d + r - 46 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/6)*m**(2\/3))\/(m*m**1*m)**42 assuming m is positive.\nAnswer: m**(-745\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213\/2 - 3917\/36. Let p = 3628868 - 58032019\/16. Let k = 1869 - p. What is the common denominator of x and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t. Let v(m) be the third derivative of -m**5\/30 - 5*m**2 + m. Determine v(k(s)).\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 6371.\nAnswer: -1911.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -14*g**3 + 2*g + 2. Let d(j) be the second derivative of j**5\/20 + 6*j + 59. What is -3*d(z) - h(z)?\nAnswer: 11*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1605*a**2*k**2 - 2*a**2*k - a*d*k**2 - a*k**2 - 14*a*k + 124*d*k + 2*k**2 wrt k?\nAnswer: 3210*a**2 - 2*a*d - 2*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292818733?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1130856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1021169, 1021173, 1021177?\n\"Answer: 4*y + 1021165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -117*86\nAnswer: -10062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, -4, 4, 1091.\nAnswer: -4, 3, 4, 24, 1091","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 13) in base 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640261 is divided by 768.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 4*r - 2. Let c(f) = -f**2 + f + 1. Let w(n) = 4*c(n) + 2*s(n). Let l(x) = 0*x**2 - x**2 + 16*x**2 + 7*x. Calculate 4*l(g) + 7*w(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/(-15) - (-3)\/(-5). Suppose f = 2*f + n + d, 0 = -3*f + 5*n + 8. Let t = -6 - -4. Sort f, 1, t in increasing order.\nAnswer: f, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 8. Suppose 17 = -t*w + 47. Calculate the smallest common multiple of w and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Let u(h) = 7*h - 5. Let i(f) = -5*l(f) + u(f). Let s(p) be the first derivative of 9*p + p**2 - 2 - 9*p. Calculate s(i(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1080841, 1080837, 1080833, 1080829, 1080825?\nAnswer: 1080821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14903348 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -135033 + 206\nAnswer: -134827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -129, -128, -127, -126?\n\"Answer: k - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k*((k**(1\/13)*k)\/k)\/k*k*k)*k\/(k*k**(-11))*k assuming k is positive.\nAnswer: k**(116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Suppose -4*d = -v - 2. Let c be (d\/((-4)\/(-92)))\/(-1). What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(18\/24)*114\/(-12692). Suppose 2*n - 4*t + 4 = 0, -5*n - t = 1 + 9. Which is the third biggest value? (a) 5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/15 - 205518*u**2\/5 + 15839015362*u\/5 + 47517662642\/15 = 0?\nAnswer: -1, 154139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 221002 (base 3) in base 16?\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6724116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.473 to one decimal place.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 6*b + 2*b)*(1 + 3 - 3)*(-1 - 1 + 3) - 6*b - b + 3*b)*(2*b - 1 + 1).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l + 25 = -5*w, 22 = -2*l - 5*w. What is the remainder when (l - 6\/(-4)) + (-1729)\/(-26) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-15) + 8\/(-60). Suppose -u = -0*u - p*u. Let v(x) = x**3 - x**2 + 1. Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 17*p - 8*p + 16*p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 15180 + 15840 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31878.6411921 + -31692.6412. Let d = b + -186. What is d rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 - 139 - (1 + -3 + -10)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 471*t**2 + 2 + 177*t**2.\nAnswer: 648*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-159)\/(-6) + (-10)\/4. Let h(z) = k*z - 10*z - 6*z - 4. What are the prime factors of h(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/(-3) + 0)*-60. Suppose -1042*c**2 + 3037*c**5 - 3032*c**5 + 42*c**2 - 70*c**4 - q + 380*c**3 + 1280*c = 0. Calculate c.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8899516 or -8899515?\nAnswer: -8899516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8 (b) 0.3 (c) -5\/12 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 2*s**2 - 2*s - 1. Let l be w(-1). Let h = l - -1. Suppose 0 = 5*t + 5 + 10, 5*t + 7 = -4*q. What is the remainder when h is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:55 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 4*w**5\/5 - 5*w**4\/2 + 59*w**2\/2 - 55. What is the second derivative of t(j) wrt j?\nAnswer: 48*j**2 - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 - 165. Let y(h) = -6*h - 18. Let f be y(m). Let z(x) be the second derivative of x**3\/6 - x. Give z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - (-8 + 123)) + 95?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/140 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111052, 111066, 111076, 111082, 111084, 111082, 111076?\nAnswer: 111066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 11) to base 8\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-5 - (3 + -11)) - (-53 + 52)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -25, -6, 14, 5 in decreasing order.\nAnswer: 14, 5, 4, -2, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -4\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 5*d - 6*d)*(-5*d + 4*d + 2*d) + 52*d**2 + 74*d**2 - 62*d**2.\nAnswer: 62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -0.0719878455523?\nAnswer: -0.3719878455523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t + 56*t = 39*t - 144. Let m = -19 - -12. Sort 2, t, m in descending order.\nAnswer: t, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(8 + 1)\/(-18). Solve u*a - 23 = -4*b, 7*b - 5*a - 15 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = 0. Is 1 + -2 - (-114 - f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from {f: 2, r: 1, l: 4, h: 2, k: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75140, -75118, -75084, -75038, -74980, -74910?\n\"Answer: 6*c**2 + 4*c - 75150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 8. Let m = -3699 + 3753. What is the greatest common divisor of n and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*k + 74 - 104, -2*k + 12 = 5*n. Let a(t) be the first derivative of n*t - 19 - 1\/2*t**2. Let f(h) = h**2 + 8*h. Determine -6*a(j) - f(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c**2 - 15*c**3 + c + 18*c**2 - 12*c**2 + 1 as m + x*c**3 + d*c**2 + q*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w + 2. Let x(y) = -y + 1. Let d(u) = -3*u + 4. Let s(k) = d(k) - 4*x(k). Determine -r(i) - 3*s(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, s: 1, m: 2, l: 7}. Give prob of picking 1 j and 1 s.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24967 + 49935\/2. Determine x, given that -3\/4*x + 0*x**2 + 1\/4*x**3 - t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 465584 and 167888?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -44*n + 19. Calculate the remainder when 84 is divided by y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Let t = n - 11. What is the second smallest value in t, -2\/13, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (618*b + 674*b - 1406*b)*(-3 - 2 + 2)*(2 - 3 + 0) to the form x + l*b and give l.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c + 1. Let r(s) = -5*s - 4. Let l(j) = -11*j - 9. Let y(z) = 4*l(z) - 9*r(z). Calculate y(t(p)).\nAnswer: 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130*(-58)\/(-1015))\/((-6)\/(-126)*6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 1\/7 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 111112?\nAnswer: 111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15586.8us in minutes?\nAnswer: 0.00025978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -2032, -3, -12 in descending order.\nAnswer: 51, -3, -12, -2032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 16 + 0 + (21 - 13 - 20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.45292 - 34.39. Round f to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/51 - 58\/6. Let t(u) = -u**3 - 9*u**2 - 5*u - 5. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*h = -5493 - 8728 - 1520 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 2*h**2 - 2. Let f be n(-2). Is f at least as big as -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-234)*(17 - 1830\/108).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f - 9. Let b(n) = 20*n - 18. Let i(j) = 2*b(j) - 5*o(j). Find the first derivative of i(u) wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxmz when four letters picked without replacement from mzxfzzxfxz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -357638 + 9296847\/26. Let z = -67 - s. Let q = z + -47\/130. Sort 3\/2, 0, q.\nAnswer: q, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18032*x - 1478614. Give d(82).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t + 6. What is the remainder when 26 is divided by m(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**3 - 2*s**2 - 3*s + 2. Let g be i(3). Let h be (-232)\/(-204)*(-33)\/g. Let z = 3\/134 - h. Put z, 4, -1\/6 in ascending order.\nAnswer: -1\/6, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2851596, 2851580, 2851554, 2851518, 2851472?\nAnswer: 2851416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s + 10. Let k be b(-5). Let w = 23 + k. Solve -4*z = 3*m - w, 5*z - 1 = -2*m + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 72 - -2 - (-3 + 2) - (475 - 462)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*i + 4*i - 7)*(-41*i**2 + 15*i**2 - 28*i**2).\nAnswer: 54*i**3 + 378*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 26 = -4*p - 6*u, p + u + 12 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649 is divided by 178?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5 + (2 - (2 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 115.022. Let y = 165.978 + p. Which is greater: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 6. Let x be z(-5). Let n = -1089 - -1104. Calculate the remainder when n is divided by 5*x*(-6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 1\/10, 7, -19, 0 in descending order.\nAnswer: 7, 0.5, 1\/10, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((4 + sqrt(7) + sqrt(7) + 0)**2 + 5 - (-3 + (sqrt(84)*1 + sqrt(84))\/sqrt(12))).\nAnswer: -104 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 5077*x - 5076 = 0. Calculate x.\nAnswer: -5076, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99629 and 1675?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/17)*a**(-5\/2))\/((a\/a**(-46))\/(a\/a**15)))**(20\/11) assuming a is positive.\nAnswer: a**(-1970\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4605834.\nAnswer: 2, 3, 37, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/9, -3\/7, 0.3, -3090\/13, -0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (4 - 6)) + -1597. Let a = k + 33497\/21. What is the common denominator of a and -40\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-3)*4 + sqrt(132))*4)\/(((sqrt(108) - (2*sqrt(108) - sqrt(108) - sqrt(108))) + sqrt(108))*4) + -4.\nAnswer: -4 + 17*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(40) - ((sqrt(1470) + sqrt(30))\/sqrt(10))**2.\nAnswer: -192 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1942833?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.081 - -1.481. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - l - 134 = 0, 5*a - 221 = 45310*l - 45306*l for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/24 and 115\/1393542.\nAnswer: 5574168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.47 - 48. Let l = g + 0.03. What is the biggest value in 4, l, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, -3\/8, 2, -8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 + 6*l - 5. Let q(c) = -4*c**2 - 3*c + 2. What is -7*q(f) - 3*w(f)?\nAnswer: f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 - 4132303?\nAnswer: -4130314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 116*c**2 + 102*c + 597. Give v(59).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 3 - 1 + 5*z**2 - z**3 + 4*z. Let q be t(-4). Let u(n) = 24 - 80 + 28 + 27 + 3*n - n. What is u(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50439100 to the nearest integer?\nAnswer: 7102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 270717+-48.649789\nAnswer: 270668.350211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0213 - 46745812708?\nAnswer: -46745812707.9787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 - -212.445. Let u = -0.045 + k. Let c = u + -1.3999828. Round c to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5524, 2369, 3, 1 in increasing order.\nAnswer: -5524, -5, 1, 3, 2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, -1438, -1\/3, 0.3 in descending order.\nAnswer: 0.3, -1\/3, -2\/3, -5, -1438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*v**2 + 157*c**3*v - 13*c**2*v**2 wrt v?\nAnswer: 4*c**3 - 26*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**2 + 0 - l**3 - 8*l + 0*l**5 + 0*l**4 + 3\/14*l**7 + 0*l**6. What is the second derivative of u(v) wrt v?\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24371*f*s + 11504*s wrt f?\nAnswer: 24371*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/9 + 2*h**4\/9 + 44*h**3\/9 - 80*h**2\/9 = 0. What is h?\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z - 530 + 680 = 5*z - 998 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0 = 75. Suppose -3*w - 3*i + n = 0, 0*w = 2*w - i - 13. Let g be (3\/6)\/(w\/(-12)). Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 0.4. Let y = -0.09 + -0.01. Is f greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**3 + 54*p**2 - 148*p + 147. Let r(a) = -3*a**3 + 2*a**2 - a. Let g(j) = 4*r(j) - w(j). Let h be g(-49). Factor h*b + 0 - 10\/3*b**2 + 5\/3*b**3.\nAnswer: 5*b**2*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21027 or 21067?\nAnswer: 21067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -38*i**3 + 10*i**2 - 105. List the prime factors of t(-7).\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 11 - 37 - 2*n**2 + 47. Let u(v) = 11*v**2 + 6*v - 5. Let b(s) = 10*s**2 + 5*s - 5. Let k(p) = -7*b(p) + 6*u(p). Calculate -k(z) - 6*l(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173, -365, -587, -845, -1145?\n\"Answer: -v**3 - 9*v**2 - 158*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 158 = k, -3*c + 26 = k - 68. Let j be ((-40)\/c)\/(3\/12). Suppose -3*f = -f - 10, 4*f - 29 = -3*p. Put j, p, -3 in descending order.\nAnswer: p, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -678, -692, -724, -780, -866, -988, -1152?\n\"Answer: -q**3 - 3*q**2 + 2*q - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/5 - 18*u**2\/5 - 106*u + 546\/5 = 0 for u.\nAnswer: -13, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {v: 4, l: 4, r: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:13 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869 = -4*p - 3*g, 421 = 2*p - 4*g + g. Suppose 3*y - h - p = 3400, -4*y + 4828 = -4*h. Suppose -476 - y = 4*l. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4615 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*y - 3*y - 3*y + 7*y + (1 + 1 + 0)*(3*y - 3*y + y) + 0*y + 0*y - y - y + 0 + 0 + 3 + 2*y - 3 + 7*y + 40 - 40.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 50. Let r be z(-19). Suppose 8*v - r*v = 15. Suppose 23662051 + 13837949 = -v*x. Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13120\/(-1120) + (-9)\/7 + 3 - -46?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1093995055\/10288 + 106337. Do -1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/4 + 23\/20. Let s = -0.19 + 0.59. Let n = 0 - -1. Sort l, s, n in ascending order.\nAnswer: l, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1048, 376, -2 in descending order.\nAnswer: 1048, 376, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 513 = -3*k, 3*q = 4*q - 5*k - 134. What is the units digit of (-61 - (1 - 0))*q\/(-86)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234*m**4 + 33.\nAnswer: -936*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 8*v**2 - 14*v + 20.\nAnswer: 2*(v - 5)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.14 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1426)\/(-8) + (-6)\/24. Let v be 1 - (1097\/(-15) - 4\/(-30)). Let o = y - v. Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 7*h - 2. Let z(p) = 7*p - 11. Let m be z(2). Let c be x(m). Solve 2*i + c = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 12 = -40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (416\/520)\/((-2)\/(-5) - 0). Let v(i) = 17*i. Let l(d) = -52*d + 1. Let p(u) = -3*l(u) - 8*v(u). What is the remainder when p(n) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -2*q**7\/49 + 17*q**6\/105 + q**5\/10 - 13*q**4\/42 + q**3\/7 + q + 7. Let x(r) = 0. What is r?\nAnswer: -1, 0, 1\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**2 - 2*w. Let x be a(3). Suppose k = -5*t + x, -3*k + 7*k + 20 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 889 in decreasing order.\nAnswer: 889, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4713*j - 37713. Give n(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, 0.2, 1\/3, -5 in descending order.\nAnswer: 1\/3, 0.2, -1\/22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10 - 638\/(-110). Let r be ((-5)\/(-2))\/(1\/2). Find the third derivative of -2*b**3 + c*b**3 - 2*b**3 + r*b**3 - 8*b**2 wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134.8 - 26204892.\nAnswer: -26204757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10*d**2 - 4. Let f be l(9). Differentiate 7502*o + f*o**4 - 7502*o - 155 + 23 with respect to o.\nAnswer: 308*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 61. Let s = m + -17. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57949 - 40394. Is 16 a factor of (-2)\/10 - (-3)\/75*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgzs when four letters picked without replacement from {g: 1, s: 5, z: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - 30) + -116 - 26 - 0.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 825519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/220*(-5230)\/523.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.578 - 3.945. Let x = 0.633 - r. What is the closest to -2\/7 in -2\/3, x, -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010 a factor of 434493470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15796 - 14332. Calculate the remainder when y is divided by 173.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4332*x**5 - 22192*x**4 - 214196*x**3 + 27864*x**2 + 12880*x + 800 = 0.\nAnswer: -5, -2\/19, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -935*c**4 + 930*c**4 + 2 - 27*c**3 + 12*c**3 - 2*c to z + w*c**4 + d*c + l*c**3 + v*c**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6) - (-60)\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40383599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*p - 24, -4*l - l = -4*p - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2134 - 808 + 2208 = 93*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*y + 5*f, 6*y + 5*f - 20 = y. Let i = y + -12. List the prime factors of 0 + 2 + 2 - i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*a**2*j**3*p - a**2*j*p + 447*a*j**3*p + a*j**2 wrt a.\nAnswer: -346*j**3*p - 2*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let l(p) = -62*p**2 + 42936*p. What is r(l(g))?\nAnswer: -62*g**2 + 42936*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((1485\/9900)\/((-632)\/(-310) - 2)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from {e: 2, r: 2, f: 1, z: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -16*w + 11. What is c(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 7) to base 4\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: bc7336 (base 14) to base 8\nAnswer: 30315744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -8 - 276\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 60 = -436*s + 432*s, -36 = 2*t - 5*s. Let b(h) = h**3 - h - 10. Let p be b(0). Which is greater: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t, -2*k + t = 25 - 438. Calculate the lowest common multiple of 656 and k.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 7d4a?\nAnswer: -7d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - h**2 + 17 + 5*h + 16 as c*h + y + o*h**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, 4, 44, 100, 178, 284, 424, 604?\n\"Answer: g**3 - g**2 + 26*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(275)*-1 + 0 - (0 + -2*-2*sqrt(275) + 1 + sqrt(275) + -2))**2.\nAnswer: 280*sqrt(11) + 13491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y + 2. Let m be f(2). Suppose 5*b + 2 - 17 = m. Let n(a) = -a**3 + 28*a**2 + 3530*a - 370. Let u be n(75). Put u, b, 1 in increasing order.\nAnswer: 1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3007 + -2979. Solve -2*n + h = -9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0882286 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81738 and 173052.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 888 or 893?\nAnswer: 888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(-81*(-9)\/36)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 199 + 23)*(384*i + 12*i**2 - 384*i) + (-4*i + 2*i + 3*i)*(-i + 2*i + 0*i).\nAnswer: 2965*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(5) - (sqrt(5) - sqrt(125)*3)))\/(sqrt(60)\/(sqrt(36)\/(sqrt(3)*-2))).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -605 - 12?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1959, 3, -110 in decreasing order.\nAnswer: 3, -110, -1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(225)\/(sqrt(9) + (2*sqrt(9) - sqrt(9))) - 1*(sqrt(125)\/sqrt(5) - sqrt(25)))\/(-6*(sqrt(405) - (sqrt(405) - (2*sqrt(405) - sqrt(405))))*-2).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 = r + m + 576, -3*r + 3*m = 42 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(352) + 1*sqrt(22)*1)\/(-2*sqrt(128) - sqrt(162)*-2))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = 24*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*k, 9*d - 8*d + 5*k = 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3813 + 3812.94. What is the closest to 0.3 in l, 0.3, 5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6665 + -6664.998559. Round n to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -52, -355, -5 in descending order.\nAnswer: 0, -5, -9, -52, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j + 27. What is the remainder when r(0) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 94*w**2 + 62*w - 62. What is f(1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 168, 312, 436, 540, 624, 688, 732?\n\"Answer: -10*b**2 + 174*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 410122421?\nAnswer: 410122420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159361 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-40)*435\/(-2). Suppose 4*m = -v - 3 + r, -3*v + 70 = m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -24. Let j(h) = -h + 2. Let n be j(1). Calculate the least common multiple of s and (-1 + 0)*(n + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3240039 or 3240042?\nAnswer: 3240039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -24\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:33 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q - 56. Let y be n(-10). What is the common denominator of (6\/y)\/(42\/(-86)) and (-297)\/(-60) - (-2)\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27434 or 27480?\nAnswer: 27434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*13 + -31 + (17 - -7). Sort -2, s, -1.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 + 11*l**3 - 4*l**3 + 3*l - 3*l**3 to the form y + j*l + o*l**3 + c*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*w**5 + 680*b**3*w**3 - 2*b**3 + 166*b**2 - 2*w wrt w?\nAnswer: 40*b**3*w**3 + 4080*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htx when three letters picked without replacement from {n: 4, r: 7, h: 2, x: 1, t: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 19. Let b be l(14). Let g = -20 + b. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368 - 2512 - (0 + -95)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6050.00005718 - -6050. Round q to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 9*s**3 + 10*s**3 - 6*s**3 + 2*s**2 + 2*s**2 - 4. Let j(w) = 5*w**3 - 3*w**2 - 4*w + 3. Calculate -4*j(u) - 3*z(u).\nAnswer: -5*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**19)\/j)\/j*j*j\/(j*j**(-17)\/j) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 - 8*d + 15. Let w = -1731 + 1737. Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34011 - 1024310?\nAnswer: -440244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-25) - ((-9)\/(-15) - 1). Let u be 1 + 694 - (-3 - -3 - d). Suppose 31*j = 24*j + u. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7477 (base 12) in base 10?\nAnswer: -12763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263816, -527634, -791452?\nAnswer: -1055270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 198371 + 223342 = 13196. What are the prime factors of t?\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzszszzz?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -7*v + 8*v - 2309, 2*y - 506 = -2*v. Calculate the highest common factor of y and 26471.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 4*q - 1. Let w be b(2). Suppose 7*g - 5*g + w*c = 15, 2*c - 10 = 0. Suppose -3*h + 8*h - 65 = g. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 55*r - 4. Let u be x(-2). Let n be u\/(-4)*(-30)\/(-45). Let l = 37 - n. Calculate the greatest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(35\/(-18)))\/((-2)\/(-5)). Let n = q - 15. Let a(u) = -2 - 3*u**3 - 2*u**2 + 2*u**3 - 4*u**2. Calculate a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06888795 + 5893.80511205. Let a = w - 5951.87418. Let q = -58 - a. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 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 y be 2*(470833\/(-22) + 1*5). Let l = y - 114307. Round l to the nearest one thousand.\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1107 divide 1157836395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -12, -5, 14, 51, 112, 203, 330?\n\"Answer: d**3 - 3*d**2 + 3*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**4*o**(-1)*o*o**(3\/10)\/o*o assuming o is positive.\nAnswer: o**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - l**2 - 2*l + 3. What is the smallest common multiple of 1 and g(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 + -1 - 0) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 2*p. Let y = -0.03 - -0.07. Which is the second smallest value? (a) 1\/10 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021020121102 (base 3) to base 11\nAnswer: 420463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(111*v**5 - 913*v**5 + 41*v**5).\nAnswer: 761*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t + 74*t - 228*t + 244*t**2 + 77*t + 404*t**2.\nAnswer: 648*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-17)*g*g*g**(-3\/2)*g**(5\/6)\/g*(g**(-8)*g\/(g**0*g*g))**48 assuming g is positive.\nAnswer: g**(-1397\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose -3*j + 191 = 5*d - 28, j - 4*d - 56 = k. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose l*v = 4*w + 22, v + w + 3 - 1 = 0. What is the units digit of v\/(1 - 9\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 15*d + 15. Let i be q(14). Let s be 20\/8 - i\/(-2). Factor -l**2 + 3*l**2 - 7*l + s*l + 2*l**3.\nAnswer: 2*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217004 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-63) + (-22)\/(-12)*2. Let v be (-191)\/(-7) + (-4)\/14. Solve 0 = -i*y - v + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-6)\/18 - 54\/7. Let g = -3\/14 - h. Is 8 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 610122 - 9145783\/15. Let m = h - 403. Let j = 3.1 + -3. Which is the nearest to j? (a) -3 (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783153*0.9.\nAnswer: 704837.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 2997.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(36)\/sqrt(3)))\/(sqrt(22)\/sqrt(176)) + (sqrt(190)*-1*5)\/(sqrt(810) - (sqrt(810)*2 + sqrt(810))).\nAnswer: 77*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305 - -745. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.2. Let i = 601\/2 - 299. What is the biggest value in -0.7, -4, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*(-18 + (-3706)\/(-255))?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208936568?\nAnswer: 2, 3, 7, 239, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17004983 = 17004982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -106000 times 2206?\nAnswer: -233836000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4847, -4731, -4615, -4499?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.190641978 rounded to five decimal places?\nAnswer: -0.19064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1880 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.6 + -313.4. Let w = i + 351.2444. Let u = w - 0.25. What is u rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 19*n\/2 + 10.\nAnswer: -(n - 1)*(n + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - -4) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195937729 and 1599?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*o - 25, 7*o - 17 = -3*l + 11*o. Let n = -3 + 3. Sort l, n, -2 in ascending order.\nAnswer: -2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/12 - (-5)\/20. Suppose 15 = 3*h + 2*u, d*u = 3*u - 3. Solve 3*m + h = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2118 and 43\/330761.\nAnswer: 1984566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29436*f**2 - 107081.\nAnswer: -58872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10946\/67 (b) -1\/12 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -132*j + 76. What is z(-7)?\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 2*h. Let p be q(-2). Let y = 6 + p. Suppose -a + y = 3. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217973.3 to the nearest 1000.\nAnswer: 218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 50*y. Let n(u) = -8 + 3 + 5 + 167*u - 59*u. Determine n(t(i)).\nAnswer: 5400*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 18 - 2*n**2 + n + 2*n**3 to c*n + a*n**3 + f*n**2 + m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709704 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfoifiiafiffi. What is prob of picking 3 i?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 29 = -4*k, -489 + 483 = 3*k + 3*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3\/4 - 87*p**2\/4 - 183*p\/4 - 93\/4 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 4*u + 3*u - 5431*u**2.\nAnswer: -5431*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 - 2*p + 1. Suppose -2*f - 24 = 5*z - 3*f, 8 = 2*f. Let v(k) = 3*k. Let y be v(-1). Let q = y - z. Determine c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162.3085 rounded to one dp?\nAnswer: -1162.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -46 + -29 - 39?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 568971 by 283.\nAnswer: 568971\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8314451*x + 7463673.\nAnswer: -8314451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhhnnhh. What is prob of picking 1 h and 2 n?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*k + 40*k + 0 - 4)*(-5*k**3 + 2*k**3 + 4*k**3).\nAnswer: -7*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -341392 + 828199. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 58*y**4 - 17*y**4 - 2*y - 158*y**2 + y**3 + 163*y**2 to t*y**3 + u*y + l + h*y**4 + m*y**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b. Let t(d) = -29*d**2 + 4. Calculate w(t(k)).\nAnswer: 87*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*g + 122*g - 769 = -3*o - 274, -3*g - g - 5*o = -169 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12*((m*m*m**(-2\/53)\/m)\/m)\/m*(m**(3\/10)\/m*m)\/(m\/((m*m**(5\/4))\/m)) assuming m is positive.\nAnswer: m**(12203\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/((-282)\/94)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*f - 161*f + 52 = -140 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + h - 5*h = 2, -3*h = s + 4. Suppose -2*f - 20 = -2*r, s = -2*r - 5*f + 1. Let l = 3 - r. Put -5, -3, l in decreasing order.\nAnswer: -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269874 is divided by 284?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3608 is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g + 12. Let v(u) = 0 + 0 - u - 1 + 0*u. Let c be v(g). Which is smaller: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i - 1. Let n(d) = -3*d. Give n(p(j)).\nAnswer: -33*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67407, 67425, 67445, 67467?\nAnswer: 67491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:03 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 841870314.\nAnswer: 841870314.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*-3*(-10)\/105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 2*j\/3 + 1.\nAnswer: -(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose 0 = d - 1 - 0, 0 = 5*t - m*d - 27. Solve -4*p - t - 8 = -2*n, 0 = -2*n - 4*p - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2 + 11*m + 368. Is s(16) a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089*k + 539*k = -542*k - 88 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10)*m*m*m**(2\/15))\/(m**10\/(m\/((m*m*m\/(m**(2\/33)*m*m)*m)\/m*m)*m*m)))**(-1\/25) assuming m is positive.\nAnswer: m**(-692\/4125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2817801 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -2*b + 134. What is the third derivative of -b + 204 + 19*k**2 - 19*k**4 wrt k?\nAnswer: -456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k. Suppose 10*x - 8*x - 12 = k. Suppose -x*y + 0*y = -12. Solve 24 = -5*f + o, -f + y*f - 2*o + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259\/37 + -1*7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28119 and 5733.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17598284 is divided by 606837?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19946, -39779, -59612, -79445, -99278, -119111?\n\"Answer: -19833*d - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 17509 = -5*s + 2995, -4*s - 4*o = 11608. Is (-2)\/10 + s\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from xxxcxxcxxxxxxxxxccx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 25*x**4 - 5*x**3 - 625*x**2 + 125*x = 0.\nAnswer: -5, 0, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8088088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39 and 242157064.\nAnswer: 242157025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-63)*(1 + -4). Let z = -572 + 613. Let c = 42 - z. Sort t, 20, 0, c in descending order.\nAnswer: 20, c, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/1)*(-57)\/(-95)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i)**(-40)*i*i**(-1\/16)*i**(3\/8) assuming i is positive.\nAnswer: i**(-4459\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2\/(-4))\/(-12 - (-1140)\/96))\/2. Solve -24 = 2*c - 18*t + 21*t, -t = q*c + 16 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(400)*4)\/(-2*sqrt(1440)))\/(((sqrt(2016) - (1*sqrt(2016) - sqrt(2016))) + sqrt(56) - sqrt(56) - sqrt(56))\/((sqrt(84)*-2 + sqrt(84))\/sqrt(12))).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165612 - 3*h - 165612.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3170 - 3170.5. Which is the nearest to -9? (a) 6\/5 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(4\/9)*(i**(-1\/4))**(20\/7))\/((i\/(i\/(i*(i**(-1\/8)*i*i)\/i)))\/((i\/(i\/(i*i*i**(-8)*i)))\/i*i))**(-3\/2) assuming i is positive.\nAnswer: i**(1075\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q - 4. Let s be ((-6)\/(-40))\/(30\/25). Is q > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 5*k**2 - 4*k - 5. Let l(w) = 4*w**3 - 4*w**2 + 3*w + 4. Calculate 5*l(x) + 4*s(x).\nAnswer: 4*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1 + -1))\/((231\/30)\/(-11)). Put -4, w, -6 in descending order.\nAnswer: w, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**4 + 1400*z**3 + 112010*z**2 + 1940160*z + 7072425 = 0.\nAnswer: -129, -17, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -3 + 31\/5. Let y = 1\/20 + h. Sort 5, y, 0.5 in descending order.\nAnswer: 5, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 3.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 0*n + 23319 + 0*n - 2*n**2.\nAnswer: 4*n**2 + 23319","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide -4418 by -858.\nAnswer: 2209\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(2 + sqrt(931)*2 + sqrt(931) + sqrt(931)) + -1*(sqrt(931) - (6*(sqrt(931) + 0 + sqrt(931)) + sqrt(931))) + 3 + 4))**2.\nAnswer: 68544*sqrt(19) + 8582697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2085, -2190, -2365, -2610, -2925?\nAnswer: -3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(1\/3)*n)\/n)**(-24\/5))**(-1\/8)\/(n*n**(-1\/2)*n\/(((n\/n**(1\/4))\/n*n)\/n)*(n\/(n**(-4)\/n)*n)\/n**(-1\/5)) assuming n is positive.\nAnswer: n**(-151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505, 434, 299, 88, -211?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141479*i**3 + 57*i**2 - 36169479*i wrt i?\nAnswer: 848874*i + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9655 - -9653. Which is the nearest to 0.1? (a) -4 (b) -143 (c) p (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 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: Find the second derivative of 1007450*a**3 - 399350*a wrt a.\nAnswer: 6044700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/30*6*1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 121*o + 70*o + 74*o as g*o + m and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001497063 to 7 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 544309 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 - 23 = -r, -20 = -5*i. Let g be 12\/(-66) + (101\/r - 0). Let s(k) = 26 - 6 - 14 - 4 + g*k. What is s(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -48\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:33 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 9799849?\nAnswer: 9799864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.649 - -1311\nAnswer: 1303.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(90\/24)*(-6)\/44. Which is the nearest to 1? (a) -1\/9 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.1 + -0.1. What is the second biggest value in -0.5, z, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3991 and 109599?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, 16, -3 in descending order.\nAnswer: 16, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -318 - 144140?\nAnswer: -144458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*p + 47*p + 10442. Suppose n = 1, -n + p = l + 4*l. Suppose -8*q + l + 116 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by (1596\/924)\/(2\/22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f*(f*f\/(f**(1\/20)\/f))\/f)))\/f**(1\/10))\/(f**(-3\/5)\/(f**2\/f)) assuming f is positive.\nAnswer: f**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1268891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from oioioooooiiioioooo?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - m**2. Give a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/3))**(3\/37)\/(t*t*t*t\/(t\/(t\/t**(-2\/3))))**(-47) assuming t is positive.\nAnswer: t**(24349\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171) + 0 + 3 + -3)**2 + 2.\nAnswer: -12*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5562, 6, 38, 4 in descending order.\nAnswer: 5562, 38, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304.3199968894 + -304.32. Round j to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/18*6 + 4034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 125*m - 2237. Calculate g(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 154\/33*6\/14. Let u(g) = 188*g**2 + 18*g - 38. List the prime factors of u(l).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)\/h)**(-4\/3)\/(h\/(h*h*h*h**(7\/2)*h)*h**(2\/27)) assuming h is positive.\nAnswer: h**(347\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 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: What is the third root of 16655 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(12\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(0*i - 3*i + 2*i) - i**2 - 1 + 1 + (-6*i - 4*i + 0*i)*(0*i + i - 2*i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**3 + 3004*b**2 - 18840*b + 7056 = 0.\nAnswer: 2\/5, 6, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159467296 and 762?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:49 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*m + 4 = 9, -v = -5*m - 40. Calculate the greatest common factor of v and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1311549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 17 + 1. Suppose -n = -q*n + 12. Let j = -2 + n. Solve -x + 2*x + j = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-14)\/(-3*1\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + 7. Let x = 23549 - 71291\/3. Let s = x + 215. Which is the closest to 1? (a) -3\/7 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -255, -1151, -2691, -4875, -7703, -11175, -15291?\n\"Answer: -322*u**2 + 70*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256614 is divided by 2820?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -16, 7, 3\/7, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269887.\nAnswer: 269887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 0.47501.\nAnswer: -0.0427509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.0412 + -0.12?\nAnswer: 273.9212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/1947639 and 11\/2295?\nAnswer: 87643755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 15*y - 15. Let f be r(-16). Let p = -6 - -3. Sort 0.1, f, p.\nAnswer: p, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-48490.\nAnswer: 436410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 11. Let b(a) = 3*a**2 - 56*a + 539. Calculate b(c(h)).\nAnswer: 75*h**2 - 610*h + 1518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*v - 2*d - 43, 3*v = 21*d + 309 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10792, 21889, 32986, 44083, 55180?\n\"Answer: 11097*g - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2581\/396 - -72\/11. Let l(i) be the third derivative of 1\/9*i**3 - 3*i**2 + 0*i + 0 - w*i**4 + 1\/360*i**5. Let l(g) = 0. Calculate g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-2)*(119\/126)\/17.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 + (-66)\/(-15). Suppose r*o - 1945 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4\/7))\/(i\/(i*i**(5\/8))))**(-47)\/(i\/((i*i**3*i)\/i*i*i)*i**(-1)*(i**(-1)*i*i)\/(i*i**(-7)\/i)) assuming i is positive.\nAnswer: i**(-5893\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*b*c*j + b*j**2 + 18*c*j**3 - 4*c*j**2 - 2*c - 1 wrt j.\nAnswer: 2*b + 108*c*j - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 34760072*a**2 + 251*a + 97550 wrt a.\nAnswer: 12*a + 69520144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -77.5 times -8554\nAnswer: 662935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (7 + -4)) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3407484 centuries to millennia.\nAnswer: 0.03407484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1599642 minutes in microseconds?\nAnswer: 9597852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (4 - -12)) + (-1 - -13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 125.8 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44423473 to the power of 1\/2, to the nearest integer?\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 1. What is the remainder when 41 is divided by o(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 97. Let f be h(-31). Calculate the greatest common divisor of 369 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -123*y**6\/10 - 193*y**4\/4 + 390*y**2. Find the second derivative of x(m) wrt m.\nAnswer: -8856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3001684, -3001686, -3001690, -3001696, -3001704, -3001714, -3001726?\n\"Answer: -w**2 + w - 3001684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m. Let i(o) = 10*o. Let r(c) = -4*i(c) + 3*u(c). Let l(q) = -q**2. Determine r(l(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 8) in base 16?\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70074)\/(-72))\/((-10)\/(-4)) - 0. Let s = -389 + a. Find the common denominator of s and -24\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let f(h) = -h**3 + 3*h**2 + 2*h - 4. Let x be f(3). Let s(p) = 7*p**2 - 3*p**x - p**2. Calculate u(s(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119703604*c + 364377483 wrt c.\nAnswer: 119703604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 + 5*n - 57. Is y(-8) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + 2*s**3 - 3*s**2 + 3*s**3 - 9*s**4 - 3*s**2 - 3*s - 6*s**3 in the form w + a*s**3 + c*s**2 + n*s**4 + p*s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*u = -3*r - 1, 3*r = 5*u + 7. Let p be r\/(-3) + 1596004\/(-12). Round p to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/51 + 9752\/67575?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 0*h**5 - 2*h**5 + (2*h - 2*h + h)*(h**4 - 3*h**4 - h**4) + 18*h**5 - 8*h**5 + 10*h**5 + (-3*h**2 - h**2 + 2*h**2)*(-2*h**2 - 2*h**3 + 2*h**2).\nAnswer: 20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12644917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose -x - 6 = -3*z + x, 5*z - f*x = 10. Let y = -22 - -27. Solve 2*m = y*n, 0 = 3*n - n + z*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 871, 3113, 7529, 14845, 25787, 41081?\nAnswer: 61453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (465\/(-10))\/(-34 - (-2277)\/66)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -0.02 (b) -2\/13 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - s - 1. Suppose 0 = -5*x + x - a - 7, -5*x = -a + 2. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 5 + 8)*(26 + 7 - 30 + 8*c**3).\nAnswer: 24*c**4 + 24*c**3 + 9*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-33) - ((-1512)\/120 - -13)\/((-13)\/(-195))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 102 = -2*y. Suppose -3*w + y = -0*w. Suppose w*k - 168 = 30*k. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169*u**3 + 3548.\nAnswer: -507*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 757 times 991.6\nAnswer: 750641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + -0.63. Let z = -176 - -320. Let o = z + -141. What is the third smallest value in o, d, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h\/(h*h\/((h\/((h**7\/h)\/h))\/h))))\/((h\/(h**(-2\/3)*h)*h)\/h)**(-6)*(h**(-2\/3))**(-35)*(h\/(h\/h**(-7)))\/(h**1*h) assuming h is positive.\nAnswer: h**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6219076 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Suppose 9 = 5*n + 5*u - 1, 22 = 5*n + u. Let y = n - j. What is the remainder when 10 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 65*b + 3171 + 1626 + 2550 = 0 for b.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 74. Does 32 divide -94*(25\/10 + a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129249573 a multiple of 6219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 - -1.28. Let b = 5.22 + o. Let z = -1.11 - -0.11. Is b != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -12.5, -11\/6, -0.3, 2, 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 316608*l\/7 + 633208\/7.\nAnswer: 2*(l - 158302)*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/420)\/((-5)\/19105). Let t be 1 - (1 - (-296)\/(-7)). Let g = z - t. Calculate the common denominator of -8\/5 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678515, 1357029, 2035543, 2714057, 3392571?\nAnswer: 4071085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x + 6*x - 37*x**2 - 29*x + 32*x**2 + 10*x.\nAnswer: -5*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36008385*g*n**2 + 27*g*n + 776*g + 2*n + 13 wrt n.\nAnswer: 72016770*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 1, h: 1}. What is prob of sequence hhw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -y - 128, 5*k + 4*y - 346 = 0. Let p = k + -113. Let o = p + 340. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 0.03, -42, 1\/4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let x(r) = 7*r - 5. Let q be 5\/(-4) + (-5)\/(-20). Let j(a) = q*x(a) + 6*c(a). What is the first derivative of j(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(-3*c - 4*c**2 + 3*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8208630 - -0.06?\nAnswer: 8208630.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1034*a + 10842. Give l(11).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from pphddpdppppdpdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/21))**11\/((x*x\/(x*x*x*x**10*x))\/x*x\/x**(-6)))**(-14) assuming x is positive.\nAnswer: x**(-670\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 32 = -30. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + -9 + 0 + -1 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*g - 48 + g**2 + 48)*(-2*g**2 - g**2 + 7*g**2) to k*g**4 + b*g**3 + o*g + f + w*g**2 and give b.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (324\/84 + (-1)\/(-7))*117575\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q + 0*q**2 - 35*q + 23 - 2*q**2. Let y be f(-16). What is the nearest to y in 0.1, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100.2 - -108. Let m = 64.8 - a. Let q = m + -44. What is the third biggest value in 0.1, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g - 3, 2*o - 5*g - 7 = 0. Let h be 74*(o\/2 + 1). Let i = h + -44. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 1. Let d(x) = -x**3 - 9*x**2 + 9*x - 6. Let i be d(-10). Suppose -5 = -r - i*n, r = 2*r - n + 10. Let o = -6 - r. Determine u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y + 10. Let s be f(7). Let q be (-1006)\/(-4)*(s - 1). Suppose 101 + q = 5*v - u, -5*u = 3*v - 368. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-1))\/m)**(1\/8)\/(m\/((m\/m**(4\/7)*m*m)\/m)*m**5))**48 assuming m is positive.\nAnswer: m**(-1536\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30589096 is divided by 874?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3036 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 35. Let n(q) = 6*q**3 + 2*q + 7. Let v(j) = -j**3 + j + 1. Let c(t) = w*n(t) - 2*v(t). Find the first derivative of c(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*j**3*u**2 + d**2*j**2*u - 424*d**2*j*u + 2360351*d*j**3*u**2 + 170*d*j**3*u - 2*d*j**2 + j*u wrt u.\nAnswer: -2*d**2*j**3 + 4720702*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 353 - 217. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7. Let c be -5*18\/(-50)*(-100)\/30. Let f(p) = -p**3 - 7*p**2 - 6*p - 6. Let y be f(c). What is r(y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0 - 15. Suppose -9 = -3*a, 2 = -q + m*a + 25. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18676\/(-2093))\/((-59)\/(-767))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -0. Solve 2*z = -s*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 146, 245, 368, 521?\n\"Answer: c**3 + 3*c**2 + 65*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/1763 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*(u\/u**(13\/3))\/u)*(u\/((u*u**(-1\/5)\/u)\/u))\/u)\/(((u*u**2\/u)\/u)\/u)**(-45))**(18\/13))**(-30) assuming u is positive.\nAnswer: u**(-2988\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (-5 - 0) - (-4 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*102\/(-29716) + 4\/46.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 438775876125*w**2\/4 + 1481175*w\/2 + 5\/4.\nAnswer: 5*(296235*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 - 0) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257643091*l*v**3 + 91769617*v**3 wrt l.\nAnswer: 257643091*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*f - 48, 157*v - 51 = 7*f - 153*v + 307*v for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/(-6))\/((-2)\/(-42)). Let v(h) = -h**2 - 15*h - 23. Let k be v(-12). Calculate the greatest common divisor of z and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1194\/70 + (-357)\/51\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17 - ((-3)\/(-15))\/((-1)\/(-5)). Suppose m = 2*v - t, 0*t = -2*v - 2*t + 4. Solve g - 6*s + s - 10 = 0, 2*g = -4*s + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4550 - 664*g**2 - 1492*g + 4550 + 2*g**4 + 265*g - 1269*g**2 wrt g?\nAnswer: 24*g**2 - 3866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 882364177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -206794*s**2 - s - 1. Let q be m(1). Let f = q + 307596. Round f to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -518.\nAnswer: -517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10*x + 1 = 0. Which is smaller: x or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 12185840*n.\nAnswer: 2*n*(n + 6092920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.1 + -66. Let c = -0.7 + 0.5. What is the nearest to 0.1 in c, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 9 - -67 - (18 + -7 + -5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0254577989 to 6 decimal places.\nAnswer: -0.025458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*j - 22045, 5*c - 8*c + 22010 = 5*j. List the prime factors of c.\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*q - 85, 3*q + 918 - 1003 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 - 0) - (-233 + 446 + -214).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 604110.2 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/2*(-4)\/6. Is w*2 + -5 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)\/b**(-1\/5))\/(b*b*b**(-1\/4)*b*b*b\/((b\/b**(-2\/29))\/b)*b) assuming b is positive.\nAnswer: b**(-42487\/7540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 87.138. Let h = -0.038 - q. Let v = -0.9 - h. Put v, 3\/2, -1\/2 in descending order.\nAnswer: 3\/2, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -267\/55?\nAnswer: -267\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -67, -101?\n\"Answer: -34*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 942114809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -13, -52, -127, -250?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 3, n: 4, u: 5, h: 1}. What is prob of sequence unu?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 2 (c) -5 (d) 9.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5 - 6*v**4 - 84*v**3 - 138*v**2 - 63*v = 0.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -322776\nAnswer: 3227760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 716562 divided by 3102?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = -6. Suppose a*m - 5*m = -8, -w + 28 = m. Calculate the remainder when 70 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 1, m: 2, u: 1}. What is prob of picking 1 z, 1 u, and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -907*k**6\/15 - 4555*k**2\/2 + 1142*k - 2. Differentiate l(m) wrt m.\nAnswer: -7256*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1072 + -1074. Let y = 14\/27 - -274\/27. Let z = 10 - y. Put -3\/2, z, j in ascending order.\nAnswer: j, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2200*-11*4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * 73.\nAnswer: -423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/1470 + k**6\/21 - 19*k**5\/105 + 572*k**2. Factor d(x).\nAnswer: -x**2*(x - 38)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 8*z. Find the second derivative of -3 + 3 - 3*p + z*p**5 wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/30 - 11*k**3\/3 + 3*k**2. Let t(n) be the third derivative of -n**5\/30 - 3310*n**2. Determine t(w(i)).\nAnswer: -8*i**4 - 176*i**2 - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvcecvvecnvvv. Give prob of sequence cyne.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) - 1*sqrt(77) - sqrt(77)) + sqrt(77) + -1*sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77))\/(sqrt(1584)*1*-5).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - n + n)*(863 + 973 - 580 + 861 + 924)*(n**2 - 3*n**2 + 0*n**2) in the form g + u*n + z*n**3 + k*n**2 and give z.\nAnswer: 12164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043 = 3*n - 1022, -n = 3*w + 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61529475979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1132?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3416.075ml?\nAnswer: 3.416075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**7\/294 + d**6\/70 - 3*d**5\/140 + d**4\/84 - 3*d - 1. Solve i(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 2*z**2 + z + 1. Let k be g(2). Suppose 5*t + 3 - 18 = 0. Suppose t*d = 2*d + 3. Solve -2*n = 3*b + k, d*n - 8 = -n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(15225\/10)*10\/(-2)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 31096473.\nAnswer: -9328941.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.67 + -154.67. Let z = 97.9 + t. Round z 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 2009549.\nAnswer: 97, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534488446.\nAnswer: 2, 827, 323149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 7. Let n(s) = s**3 - 8*s**2 + 9*s - 10. Let f be n(a). Are f and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let l(c) = -2*c**2 - 5*c + 3*c - 19*c**2 + 11*c - 9. Let q(y) = -5*y**2 + 2*y - 2. Let t(v) = 2*l(v) - 9*q(v). Calculate a(t(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let n(x) = -x**3 + 5*x**2 + 7*x - 3. Let k be n(6). Suppose 3*j + 1 - 4 = -k*s, j + 2 = -2*s. Let m(c) = -3*c + 4*c - j*c. Calculate w(m(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128567 and 32529?\nAnswer: 2699907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 - 8*j**2 - 6*j - 5. Let g(y) = 4*y**3 - 7*y**2 - 5*y - 4. Let u(c) = 5*a(c) - 6*g(c). Let h be u(-1). Let w be 12\/10*5\/2. Sort w, 0, h.\nAnswer: 0, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722915331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 6*m**2 - 3*m - 16. Let x be p(4). Let -3*f**4 + 0*f**x + 171*f**2 - 165*f**2 - 2 - 1 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 80*t**2 - 356*t - 12675. Give a(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 0.1, -0.1 in increasing order.\nAnswer: -0.1, 0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(128) + (sqrt(128) - sqrt(128)*-2) + 1).\nAnswer: -160*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95558 is divided by 937?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -98, 1, 5?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 75 = -5*a, 457*c - 453*c = 5*a + 105 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108635, -217279, -325921, -434561, -543199, -651835?\n\"Answer: z**2 - 108647*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80655 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**3 + 16*m**2 + 5*m + 13. Let n(f) = 4*f**3 - 8*f**2 - 2*f - 6. Let a(u) = 6*g(u) + 13*n(u). Factor a(l).\nAnswer: 4*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*m**4 - 2*m**4 + m**4 + (0*m + 3*m - m)*(-4*m**2 + 8*m**3 + 4*m**2) to g*m**3 + w + h*m**2 + k*m + a*m**4 and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*u**4 + 610.\nAnswer: 468*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.541 - -8.46. Let v = n - 1.919. Let j be (2\/6)\/((-2)\/(-6)). What is the closest to j in v, -2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14601189849 take away -717?\nAnswer: -14601189132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c + 96. Suppose 5*k = 41 - 41. What is the tens digit of d(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 32514*k - 130067. Calculate s(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 2*d**2 + d**3 + d - 10 + d**2 - 2*d**3. Let v = -142 + 147. Suppose v = 5*y + u, -7 = -u - 2. Calculate i(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 8*m + 88*m)*(3*m - 3*m + m) + 0*m**2 + 2727*m + 2 - 2720*m + 17*m**2.\nAnswer: 101*m**2 + 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35225?\nAnswer: 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 30582*r - 465817*r.\nAnswer: -435235*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301617880126998 - 301617880126998 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**2*z**4 - g**2*z + 12*g**2 + g*z - 15102*z**4 - 66 wrt z.\nAnswer: -60*g**2*z**2 - 181224*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n + 118. Let q be l(7). Suppose -4*f + 18 = 2. Let i = -4 + f. Is q at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, and 2 s when four letters picked without replacement from twstysstmw.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -1*sqrt(432)) + (sqrt(3) + 0 + sqrt(300) - sqrt(3)))*3.\nAnswer: 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305496 divided by 6.\nAnswer: 50916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-9))\/((-3)\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.287 - 3.387. What is the fourth smallest value in -21, -2\/7, z, -4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.31681621 to four dps.\nAnswer: 3.3168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 * 165\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = -35*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4 = -3*c - 2*q, 15 = 5*c + 5*q. Let p be 2*(c + 34\/4). Suppose p = v + 4. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*2022\/20 + (-91)\/(-455) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -438*s**5 + 111*s**3*t - 372328*s*t + t wrt s?\nAnswer: -8760*s**3 + 666*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**6 - 5*t**4 - 2142*t**3 - 2312*t**2 + 2*t + 1.\nAnswer: -240*t**3 - 120*t - 12852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 - 10*4. Let m(u) = -u**3 - 7*u**2 - 6*u - 6. Let a be m(-5). Let l = a - i. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnppnpp. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 6 + -3 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 19 + (-8 - -6) + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 317 + 97 + 200*m + 80*m + 110.\nAnswer: 280*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-12) - (-1)\/(-4). Let b(k) = -k + v*k - 4*k - k. Let l(u) = u. What is b(l(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 59.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 3*k**3 + k**3)*(2*k**2 + k - k) + 3*k**5 - 7*k**5 + 2*k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 26*i**2 - 3*i + 3. Let t be d(3). Suppose -6*c + t = 13*c. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(1 - (-22006)\/(-6))*-110. Round a to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -322 - -216. Let v = g - -124. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6827*o**3 - 29*o**2 + 29*o**2 - 42266*o**3.\nAnswer: -35439*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -15*j**2 + 251545*j\/2 + 41129250 = 0.\nAnswer: -1891\/6, 8700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145583*o**3 + 291125*o**3 - 145535*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1441*h*n**2 + 1265*n**2 - n with respect to h.\nAnswer: -1441*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 4*l - 1. Let b be z(3). Suppose -14 = -c - 7*y + 4*y, 2*y = -b*c + 31. Let r = c - 4. Solve -2*w + 5 - r = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -931807, -931814, -931819, -931822, -931823?\nAnswer: -931822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(12\/(-40)). Let f(u) = u - 9. Let y be f(r). Let v = y - -12. Calculate the remainder when 30 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2094.18138 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -215*w**2 - 2168*w - 2130. Give h(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s. Let t(j) = -7*j**2 - 369. Determine t(m(x)).\nAnswer: -700*x**2 - 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**3 + 7*n**3 - 6*n**4 - 2*n + 20*n**4 - 27*n**3 - 584*n**2 wrt n.\nAnswer: 336*n - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -14. Let g be (-47)\/(-10) - 18\/(-60). Solve 4*n + g*a - d = 34, -3*n + a + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-19))**32\/(i**3)**(4\/7) assuming i is positive.\nAnswer: i**(-3820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -725 + 725. Let v(r) be the third derivative of 0*r + l + 1\/120*r**6 + 7*r**2 + 0*r**4 + 0*r**5 + 1\/3*r**3. What is v(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10045 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -55 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 8*r = 0. Are r and 1\/332 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*w + 84 = 289*w - 147*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*w + 311*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 25*k + 54 - 79. Suppose -2*t + 3*d + 48 = 0, -t + 44 = t - 2*d. Solve t*y = k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 89. Let l = 31 + -17. Let b = l + -5. What is the highest common factor of g and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.806504ng in grams?\nAnswer: 0.000000004806504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54831709, 54831711, 54831713?\nAnswer: 54831715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**2*u + 94*h**2 + 3*h*u**2 - 23*u**2 - u + 33 wrt h?\nAnswer: -6*h*u + 188*h + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65039617 and 4322.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 - l - 23. Suppose -2*n + 8 = -2*q, n + 5*q - 6 = -26. Give m(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 7:43 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h. Suppose -3*k + 5 = -z + 17, -5*z + k + 46 = h. Let s be 2 - -2*1\/(-2). What is the highest common factor of z and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 + 2*g**2. Let j be 1\/3*(35\/5 - -2). Let s(z) = 3*z**3 - 3*z**2 - 4*z**3 + 3*z**2 - 5*z**2 - 9*z**j. Calculate 10*r(y) + 4*s(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75735, 75868, 76001, 76134, 76267?\nAnswer: 76400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (566*i - 49*i**2 - 566*i)*(31 - 34 + 35)*(i + 0*i + i) to the form l*i**3 + a + b*i**2 + x*i and give l.\nAnswer: -3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*s - 9052 = 105*s. Calculate the remainder when s is divided by 157.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -198*(-3 + (-10)\/(-4)). Calculate the greatest common divisor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 - ce?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -15.928. Let m = p + 0.0720037. What is m rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 321374 - 321373.9399956. Let q = -6.94 - -7. Let k = q - j. Round k to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)\/(v\/(v*v**(-5))))\/(v**1*v**(-6)*v) assuming v is positive.\nAnswer: v**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlnn when four letters picked without replacement from {l: 7, n: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 7, j: 3, m: 2}. What is prob of sequence jj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16521373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-3)\/(-3))*-2. List the prime factors of 2\/p*(-2 + -10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (775\/465)\/(-1 + 147\/(-18))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*(-3)\/21 + 55 + -61?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 4625*z**2 - 5*z - 4625.\nAnswer: 5*(z - 1)*(z + 1)*(z + 925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, 3\/46, -2\/13 in descending order.\nAnswer: 0.5, 3\/46, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48\/14*(-21336)\/(-4064)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e2b (base 16) in base 10?\nAnswer: 11819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7391 - 5031. Suppose -3*d = -571 - s. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 15. Let g be 15604\/(-6) + c\/(-12). Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*h**3 + 0 - 1\/3*h**2 + 0*h.\nAnswer: -h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 1 + 6 - 10 + 4.\nAnswer: 29*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 4*k**3 - k**3 - 6*k**3 - 4*k**3 - 4*k**3 + k**3 - k**2 + k**2 + (0 + 0 + 1)*(2*k**2 - 2*k**2 + k**3).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 1.51?\nAnswer: -51.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792502 is divided by 2178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/73776273 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 136466040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 15*j = -1035. What is the remainder when j is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4 + 34*l**3\/3 + 55*l**2\/3 - 224*l\/3 + 44 = 0.\nAnswer: -22\/3, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -260, -340, -388, -404?\n\"Answer: 16*k**2 - 160*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 1 - 1 + (-3 - 1 + 2)*(-h + 0*h + 2*h) - h + 0*h + 0*h + 5*h - 5*h + 8*h + 0*h + 0*h + h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -892954, 77 in decreasing order.\nAnswer: 77, 1, -892954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2*u + 4. Let t be a(0). Suppose 2*v = 6 + t. Let r(s) = -v*s + 11*s - 4*s. Let f(h) = 16*h**2. Calculate f(r(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 2. Let z(b) = 173*b + 7. Give 2*c(f) - z(f).\nAnswer: -175*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582065?\nAnswer: 3, 5, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + (-4)\/(-10). Let d = 4\/15 + y. Which is the nearest to d? (a) 0 (b) -3\/2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*16\/192)\/(23\/(2208\/1752))\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -507 - -727. Calculate the highest common factor of t and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7591.4*0.2.\nAnswer: 1518.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + o - 124 = 0, -s + 27 - 75 = 4*o. Let i be (1\/(-4))\/((-60)\/s + -2). Solve 0 = 2*f + 2 + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -101?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -9 (c) 2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256890605?\nAnswer: 3, 5, 83792707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/((-2)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/15)\/((-906)\/(-15)). Let r = l + 15851\/906. What is the common denominator of r and 2\/18*67\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -102450199?\nAnswer: -4\/102450199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - c - 3)*(-c + 2*c + 0*c + 4*c - 9 + 9 + (-1 + 1 + 2*c)*(0 + 0 + 2) - c - 1 + 1 - 1 + 1 - 2*c + 2*c + 0 + 0 - 2*c + 5*c - 5*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/2)\/a*a)\/a)**(1\/36)*a**3*a*a*a\/a**(-31) assuming a is positive.\nAnswer: a**(2659\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/16 - v**3\/2 - 9*v**2\/8 - 1. Determine r so that c(r) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2157824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 34. Let b be n(-6). What is the greatest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179816?\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.321 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -37 - (551 - 557)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -4. Let n = 6 - a. Let t(d) = -4*d**3 - 4*d**2 - d + 2. What are the prime factors of t(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*q = 275, -207 = d - 4*d + 4*q. Let w = d - 14. Suppose -4*g = -w - 49. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**4 - 7*g**2 - 3 - g**3 + 6*g**2 - 18*g**4 + 27*g to s + d*g**3 + q*g**2 + b*g**4 + a*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8 - -5. Put 0.5, -2\/3, w in increasing order.\nAnswer: -2\/3, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31015, 31019, 31025, 31033, 31043?\nAnswer: 31055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2011 - -1733. Are -268 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*h + o, -3*o = 2*h + 66 - 84 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 461, 459, 457, 455, 453?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 1797*q - 1806*q. Suppose p - 6 = -p. Suppose -2*m + p = m. Calculate the highest common factor of m and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*h - 24 = 21, -z - 2*h + 15 = 0. Solve 5*c + 0*c = -z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187658044 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkx. What is prob of picking 3 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose b - 5*w = x, -2*b + 5*b - 2*w = 0. Let t be (12\/63)\/(2\/(-3)). What is the nearest to 1\/3 in b, -0.3, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 34*y + 97. Let n be c(-31). What is the smallest common multiple of (n + -6)*(-4 + 3) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/109 (c) 12\/13 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, d: 3, z: 1, j: 2, r: 4}. Give prob of picking 1 d, 1 z, and 2 j.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 156 = 25*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d - 19. Let h(p) = -7*p + 10. Suppose 0 = -3*o - 0*o + 18. Let l(f) = o*x(f) + 13*h(f). Calculate the remainder when 26 is divided by l(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24576, 49115, 73654, 98193, 122732, 147271?\n\"Answer: 24539*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520391, 3, 71, -2 in increasing order.\nAnswer: -520391, -2, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 - 2*o. Let w(h) = -2*h**3 + 3*h**2 + 3*h. Let r = -15 + 13. What is r*w(x) - 3*a(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 53*v**7\/30 + 247*v**5\/60 + 2*v**3\/3 - 3*v**2 + 335*v. What is the third derivative of y(m) wrt m?\nAnswer: 8904*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + x + 2*x)*(x**3 - x**3 - x**3) + (6*x + 0*x - x)*(-4*x**3 + 2 - 2) as o*x + g*x**3 + w*x**2 + p + t*x**4 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d + 4. Let y be i(-3). Suppose b - 7 = -a - 1, 2*a - 3*b = y. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280.2 + -254. Let j = 26 - h. What is the nearest to -2 in -4, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9)*1*6. Suppose b*o - 5*k + 15 = 0, -o = -4*k + 3*k + 3. Is (-1221)\/(-3) - o\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 26*x = -31*x + 55, 2*g + 5*x - 34 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1922 and 4?\nAnswer: 7688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251 + -1?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -59*a + 767. Let r be m(13). Let x = 2 - 2. Is -2 - (-271 - r) - (0 + x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Let w be ((-2)\/4)\/(7\/(-8) - -1). Sort w, r, 5 in decreasing order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12 + 162\/8. Suppose -5*g + v = -b, -4*b + 8*b = -4*g + 40. Let z(j) = -j + 4. Calculate z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6916)\/65)\/(4\/(-10))?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - (sqrt(432) - sqrt(432)*4 - sqrt(432))) + 0 + 0.\nAnswer: -98*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 54244\/497 + -57?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 24\/3)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/15 - -11\/60. Which is the closest to v? (a) 1 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.502\nAnswer: -0.1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + 76\/(-176). Is -2 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38416*l**2 + 115246*l**2 - 38424*l**2 - 38410*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160002 is divided by 139.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*a + 205, 150 = 3*y - a + 13. Suppose 4*s - 69 = 3*i - 4, -4*i - 20 = -2*s. Let g = y - s. Solve 2*d - 4 - 16 = -3*l, 5*l + d - g = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5154643 decades to months.\nAnswer: 61.855716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/(-105))\/(490\/(-8232))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: dc3 (base 16) to base 14\nAnswer: 13d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - 0 - 964387\/(-28973))\/((-2)\/14 + 2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -13*m + 95. Let w be v(13). Let r = 122 + w. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*b - 0*b - 2*o, 0 = 5*b + 3*o - 35. Let l be (b\/(-20))\/1*-1. Which is bigger: l or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4411681830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12 - (-10 - -9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21) + sqrt(84)\/sqrt(4)))\/(sqrt(77)\/(sqrt(11) + 4*sqrt(11))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.11 (b) 3487 (c) -8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 4)**2*-3.\nAnswer: -342 - 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 3, i: 3}. Give prob of sequence im.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:30 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45459*f + 45526*f - 1005 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*h + 20 = 0, 0 = 3*s + h - 3 - 2. Suppose s = 3*p + p. Differentiate p + 4 + f - 2 wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 13*s**2 + s - 10. Let d(b) = 14*b**2 + 2*b + 1. Let n be d(-1). Let h be z(n). Solve -h*w = 4*t - 4, 5*w - 2 = t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtjwkwwwwjkwjjjjwjt. What is prob of picking 2 w, 1 t, and 1 k?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854190, 1708704, 2563220, 3417738, 4272258?\nAnswer: 5126780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 - 11 = -b - 203*j + 208*j, -2*j - 85 = -3*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497169.\nAnswer: 2497169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Let b(x) be the first derivative of 3*x**2\/2 + 1. What is the remainder when b(5) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -1 + 4*u - 29\/2*u**2. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 4. Let x be 39\/(-6) - (-2)\/(-4). Let k be m(x). Find the first derivative of 1 + k*q**3 - 7*q + 7*q wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 6. What is the tens digit of o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**2*b**3 - a**2 + 10*a*b**4 - b**3 + 4*b**2 wrt b.\nAnswer: -30*a**2 + 240*a*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o**3 - 175*o**3 - 4*o**3 - 4*o**2 - 2*o**2 + 6*o**2.\nAnswer: -137*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:38 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1. Let u(p) = 2*p - 4. Let g(z) = -3*z**3 + 20*z**2 + 3*z + 8. Let h be g(7). What is h*w(a) + 5*u(a)?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003196573 rounded to five decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 152 = s. Suppose -5*j + 53 = 43. Calculate the remainder when 30 is divided by (s\/(-11) - 1) + j\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13128948.\nAnswer: 2, 3, 7, 53, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798 by 61.\nAnswer: 798\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + w = 14352, b = 5*b + 4*w - 14340. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2526 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o - 2*o)*(-o**2 + o**2 - 2*o**2) - o**3 - 3*o**3 + 3*o**3 + (3*o**2 - 5*o**2 + 24*o**2)*(o - 2*o + 4*o) + o**3 - o**3 + 2*o**3.\nAnswer: 69*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 64*a + 2. List the prime factors of w(1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-5) - (-228882)\/1110 is divided by 67.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05412 to 3 decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129731 or 129733?\nAnswer: 129733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -7 - 4\/((-1048)\/(-774)). Let r = 5919\/524 - t. Calculate the common denominator of r and (9\/(-12))\/(3\/(-86)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 5)*(-3*x + 2*x + 2*x) - 3*x + 6*x - x + 0*x - x + 3*x + 2*x + 1 - 1 + (-8*x - 8*x + 11*x)*(3 - 1 - 3) as w*x + a and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6))**(-2\/29)\/(((i*i**(-3\/4))\/i)\/i**(-1\/2)) assuming i is positive.\nAnswer: i**(77\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103140221 (base 6) to base 12.\nAnswer: -744671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 16*q - 6. Which is the fourth smallest value? (a) 0.3 (b) q (c) -5 (d) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449370 = 23*l + 2*l - 319005. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3\/6 - 455*j**2 + 62560*j - 369920\/3 = 0. Calculate j.\nAnswer: 2, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/7, -2\/15, -5\/22, -0.19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3243729 or 3243730?\nAnswer: 3243729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 11 - -3) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*g - 6*g - 306. List the prime factors of 11195\/30 - -3*(-1)\/g.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-12))\/((-1)\/(-1) - 696\/576).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from yeqdr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/4 + 3*p**3 + 2*p**2 - 10*p - 21. Let f = -17 + 25. Does 35 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3399*f - 3423*f + 451824 = 0. List the prime factors of f.\nAnswer: 2, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285910670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-55)\/4)\/(-11))\/((-5)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.7 + 28.3. Let t = 3 - 4. Sort 0.4, t, b in ascending order.\nAnswer: t, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/12 + f**3 + 5*f**2 - 376*f. What is m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - (-3)\/(-2). Find the common denominator of m - (1 - (-49)\/(-8)) and 3 + 0 - (-516)\/96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 14) to base 3\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l + 1 + 3 - 2107*l**2 - 2.\nAnswer: -2107*l**2 + 55*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*-4 - (-64)\/(-168).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 - (-1 + -7 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 604*j**2 + 285*j**2 - 403*j**2 - 8 + 453*j**2.\nAnswer: 939*j**2 - j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - f**2 - f + 2*f**3 + 3*f + 0*f to the form t + l*f + v*f**3 + g*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(11)*1 + sqrt(11)))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6 = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 532\/5 - 107. What is the second smallest value in g, -5\/27, 2?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13618 - 13794.61. Let i = m - -178. Let g = i + -1.389923. Round g to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422211 (base 6) to base 8\nAnswer: -235737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 51?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 10. Let a be f(0). Let z(n) = n + 3. Let u be z(0). Suppose -4*o + q + 8 = -a, -o + 4*q - u = 0. Solve o - 2 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 18, s: 2}. Give prob of sequence nnsn.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/1116 and 143\/1080.\nAnswer: 33480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:03 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4 + (sqrt(20)\/(sqrt(40)\/sqrt(4)) - sqrt(2))*2)*4)**2.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -134, -150, -172?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*q - 703*q = 271*q - 67*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 5*v**3\/6 + 3*v - 116. Let y(c) = 7*c**2 + 3. What is y(f(p))?\nAnswer: 175*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 3*g + 2*g - 8*g. Let s(j) = j**3 + 8*j. Calculate 5*m(p) + 2*s(p).\nAnswer: 2*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737335?\nAnswer: 5, 37, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 2*m)*(13*m - 27 + 27)*(-3 + 4 - 3).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 3, 1 in increasing order.\nAnswer: -40, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3257\/(-68) + 4765\/3812 - (-6)\/(-17).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(1\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75362, -75530, -75710, -75908, -76130, -76382, -76670, -77000?\n\"Answer: -o**3 - 161*o - 75200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -26*x + 4. Calculate the remainder when h(-5) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*c - 2 + 6*c.\nAnswer: 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08688? (a) -3\/16 (b) 2 (c) 1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 23*p**2 - 9*p + 44. Calculate the least common multiple of 240 and i(22).\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230*s**2 + 149*s**2 + 147*s**2)*(15*s + 7*s - 6*s) to the form h*s**3 + x + b*s + l*s**2 and give h.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/280 and -64\/41340495.\nAnswer: 330723960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101100010000 (base 2) in base 10?\nAnswer: 19216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11473, -11475, -11477, -11479, -11481, -11483?\nAnswer: -11485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1)\/((-4)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 6 = 11*d - 5*z, 0 = d + 5*z - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12137 (base 11) to base 2\nAnswer: -100010000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/19 + 2\/38*340. What is the second derivative of -q*d**3 + 9*d + 3*d**3 + 167*d**5 + 3*d**3 + 12*d**3 wrt d?\nAnswer: 3340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105 + 97 - 9)*(-x**2 + 3*x**2 + 3*x**2) + 2*x**2 - 2*x**2 - 2*x**2 to n*x + t + l*x**2 and give l.\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*u**3 + 122*u**2 - u + 36261 wrt u?\nAnswer: 216*u**2 + 244*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2053571 - u - 2053571 + u + 400*u**3.\nAnswer: 400*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 less than -130822.32886?\nAnswer: -130747.32886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:06 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -20, 0, 36, 94, 180, 300?\n\"Answer: f**3 - f**2 + 6*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*r - 36 + 94*r - 65 + 100 - 187*r.\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325 - -598. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 93\/2 - 59\/2*d = 0. What is d?\nAnswer: -3\/2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -44*p - 201. Let a be y(-6). Suppose 80*z = 71*z + a. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -5\/6 (b) 8 (c) 0.03 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1373215 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 6*y + 11. Let w be v(-5). Suppose -w*z + 676 = -2*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599*1194.405.\nAnswer: 715448.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 - 1 = 0. Let d be 8 - -1 - n\/1. Let j = d + -3. Solve -3*q + 4 = -4*z, 3*q - j = 5*z - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 4*x - 11. Determine r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*x**2 + i**3*x - 98*x**2 wrt i.\nAnswer: -6*i**2*x**2 + 3*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 42 - 77 + 34 + 3*s. Let o(x) = -3*x + 3. Let t(j) = -4*o(j) - 5*z(j). Let m be (-48)\/9 + 4\/12. Calculate t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -299, -1130, -2507, -4424, -6875, -9854, -13355?\n\"Answer: c**3 - 279*c**2 - c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 1. Differentiate -t + 7 + t + 3*t**3 + g with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 - 84 = 4*x - 3*y, -2*y = -4*x - 192. Let u = -112 - x. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b + 12 = -36*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9562 and 12894.\nAnswer: 8806602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/((a*a*a\/(a\/(a*a*a*a**(4\/7))*a*a)*a*a)\/a))**10 assuming a is positive.\nAnswer: a**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*39\/(-26) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -89*y + 96*y. Let g be (2 - (-1 - -60))*(-24)\/y. What is the highest common divisor of 209 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6012*d**2 - 42072*d - 61. Calculate r(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 767070 - -1?\nAnswer: 767071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469948149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -18 - -39 - (0 - 28)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -286\/29 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138654*x - 26 - x**2 + 138654*x - 2*x**2 - 53 + 4*x**2.\nAnswer: x**2 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 9*l - 5. Let j = 30 - 28. Let y(x) = -2*x - 1. What is j*m(q) - 9*y(q)?\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1621 - -1463.2. Let k = q - -158. Put k, 0.025, 1\/6 in ascending order.\nAnswer: 0.025, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 4*k - 17, 0 = 2*k - 4*q + 14. Solve -s + 2 = k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + sqrt(119)*-2))*5*1)\/(sqrt(56)\/(-2*sqrt(288))).\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2 + 2)*(0 + 1 + 2)*(-v**3 - 1 - 1 + 4) as y + p*v**2 + u*v**4 + k*v**3 + b*v and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k - 1. Suppose -2*f + 5 = 3*g, 4*g - 5*f = 2 + 20. Let a be g*(-2)\/(-3) + 2. What is v(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*23\/230*(-125)\/40?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3654*i**4 + 80*i - 145*i + 65*i + 582*i**4 + (-i + 7*i + 0*i)*(0*i**2 + 0*i**2 - 2*i**3) to z*i + q*i**4 + t*i**2 + r + m*i**3 and give q.\nAnswer: -3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5 - 4*d - 7303*d**2 + 773*d**2 - d. Let t be u(7). What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 55 = 46*s - 3*p, -p = -3*s - 51 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 478 - a?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*x + 7*x + 12 = 0, -3*x = r + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32775 and 275241.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 14. Suppose -4 = -n*o - 6, 4*o = -2*p. Suppose 4*m**2 - 4*m**2 - 5*m**p + 20 = 0. What is m?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 24 = -m, m + 2*m + v + 8 = 0. Let s = -306 - -308. Let o be ((-2)\/(-4))\/(s - 1). Which is the biggest value? (a) o (b) 2 (c) 0.03 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98192179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*l**2 - 3)*(-6*l - 5*l + 2*l) + 54*l - 54*l - 7*l**3.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 253.7332m?\nAnswer: 253733.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, -28, -34 in decreasing order.\nAnswer: -28, -34, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u - 12. Let l = -22 - -30. Suppose -20 = -l*w + u*w. Put w, 2, -4 in descending order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1703, -2295, -2887, -3479?\nAnswer: -4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47521980 divided by -66.\nAnswer: -720030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63497 is divided by 1643.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**8\/3360 + i**7\/840 + i**4\/3 + 5*i. Let k(z) be the third derivative of p(z). What is the third derivative of k(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 165300 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - 2*d + 5*d)*(1 - 30 + 16)*(-1 + 3 + 0)*(4*d + 2*d - 4*d) in the form p*d + o + s*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 9:32 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = 5*o, -6*r = -r - 4*o - 7. Let q = -11704.4 + 11704. Which is the third biggest value? (a) -2\/13 (b) r (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 4. Let b be m(-6). Suppose 3*k = 5*w - 53, -b = -3*k + 5*k. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.02*-543127\nAnswer: 553989.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -404*g - 8851. Calculate l(-26).\nAnswer: 1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 50. Put -2, k, -8 in decreasing order.\nAnswer: k, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a91 - 2695?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603 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: Put 1191442, 0.4, -1 in decreasing order.\nAnswer: 1191442, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931767.\nAnswer: 3, 31, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 - 1911*v\/5 + 5868.\nAnswer: -3*(v - 15)*(v + 652)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.379 rounded to 1 decimal place?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 89*r - 922. Determine u(-13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p + 810 = 2 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*n**3 - 414*n**3 + 1971*n**3.\nAnswer: 1986*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + ((7 - (6 - 1)) + 5 - (38 - 28)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267 and 5351196?\nAnswer: 476256444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7990483, 15980975, 23971469, 31961965, 39952463, 47942963, 55933465?\n\"Answer: r**2 + 7990489*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let t be (-1 + i)\/(11 + -10). Let o = -2 + t. Put o, -5, -1 in increasing order.\nAnswer: -5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5616 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132.5 and -0.5.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -395, -790, -1195, -1616, -2059?\n\"Answer: -a**3 + a**2 - 391*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.139193 rounded to two decimal places?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866 - 162 = -85*l - 1793 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:59 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/23)*q**(4\/5)*q assuming q is positive.\nAnswer: q**(192\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 37753?\nAnswer: 7550.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 - -268.09. Let c = v + -0.09. Let x = 4.956 - -0.044. Does c = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + ((-767)\/(-26) - 27)*2*8\/10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1065 + 1524. Suppose 0 = 5*p - 116 - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0088222879 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.4, -0.5, 2\/33345 in decreasing order.\nAnswer: 1\/2, 2\/33345, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 + 189*g + 99. Calculate z(52).\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 17. Let x(g) = g**3 - 5*g**2 + 5*g - 2. Let d be 2*3*8\/12. Let q be x(d). Let p(l) = -l**q + 5 + 3 + 2*l**2. Give 6*o(s) + 13*p(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + v**3 + 2*v**3)*(3 - 3 - 2*v)*(-350 + 111*v + 350).\nAnswer: -222*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 373?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3276 and 1008?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(36)\/sqrt(300).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -106*p. Let h(b) = -5 - b - 8 + 9*b + 13. Determine j(h(g)).\nAnswer: -848*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(230\/8) - (-1335600)\/25599.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-4)\/(-6) - (-147)\/140.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 21*n**4 - 125*n**3 + 291*n**2 - 234*n.\nAnswer: -n*(n - 13)*(n - 3)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + 4*u = 12, -5*u = q - 3. Solve -8 = -m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 6:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004636 is divided by 184?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6231464 rounded to two dps?\nAnswer: -10.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1655 = -6*r. Let z = -127 - r. Let t = 1017\/5 - z. Is t at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/17)\/(t\/(t*t**(-15\/8))) assuming t is positive.\nAnswer: t**(-271\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -1\/75, 3, 2, 2\/7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 345060 divided by 69012\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b39 (base 15) in base 2?\nAnswer: -1011100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -13 - 11. Suppose 0 = 5*y - a - 8. Solve y*m - 4*w - 19 = -7, -4*m - w = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5239*z**4 - 24943*z?\nAnswer: -62868*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -62601 bigger than -876415\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11*(2 + -3)*-1. Suppose -4*l + 5*i = -180, -9*i = -11*i + 8. Let c = d + l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 53 - 9*f + 4*f. Let h be b(11). Let o = h + 144. Solve 9 = 4*m - o*g, -3*m - g = -8*m + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551\/(-55) + 0 + (-6)\/(-30) - (-382)\/(-2101).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10f4 + -16d9?\nAnswer: -27cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 2. Let o = 15 - 10. Let j(d) = d - 4*d - o - d. Let v(g) = -2*j(g) - 5*r(g). Let c(t) = -t**2. Calculate v(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819033 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/3 - 116*t - 10092 = 0. What is t?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/36 and -25 + (-20273)\/(-570) + 8\/(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340599056 by -1876.\nAnswer: 181556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5389*q**2 + 1 + 7427*q**2.\nAnswer: 12816*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.4 (b) -17 (c) -6\/11 (d) 11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 98 + 56. Solve -3*d - 21 = 4*k, r*d - 21*k + 16*k = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 23*l - 23*l + 4*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/75, -0.3, 96, -4\/7?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 - 218. Suppose -l*s - 4*b = -41*s + 75, -5*s + b = -75. Calculate the highest common divisor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(39 + -41)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 0*x**2)*(5*x**2 - 2*x**2 - x**2) - x**4 + 2*x**4 + 0*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 + -3.7. Let m = 796.6 - 797. Which is the third smallest value? (a) -3\/4 (b) 5 (c) g (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*o**3*p**3 + 3*o**3 + 76*o**2*p**3 - 4 wrt o?\nAnswer: 162*p**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1042?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.998 + -7.754. Let x = n + 0.052. Let z = 8.7 + x. Which is smaller: -3\/16 or z?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/27 and -131\/25920.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - 1127*i - 10622. Determine q(-272).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-10)*(-10)\/(-3). Which is smaller: -6 or z?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 272, 867, 2012, 3887, 6672?\n\"Answer: 30*b**3 + 5*b**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1098\/(-48))\/(18\/8) and -36\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (16 - (4 - 2) - -2)) + (115 - -22).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67d19 (base 15) in base 8?\nAnswer: -1205124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516 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: What is -2.51474 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 5*q + 4. Suppose 5 = 3*s - 10. Let x be n(s). Solve -b + x - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 20 = -4*q, -q = -4*g - 12 + 17 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 1 l when three letters picked without replacement from {h: 3, z: 5, l: 5}?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*t + 26 = 4*v, 0 = 3*v - 4*t - 25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2111 + 46251?\nAnswer: 50362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-102)\/36)\/(-17) - (-46)\/12. Put 2, r, 0 in descending order.\nAnswer: r, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.305 - -8.1. Let r = 0.20500099 + v. Round r to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361.73 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, 1\/3, 0.42?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3687 - 8*c**2 + 14*c**2 - 51*c - 3684 - 7*c**2 - c**2 as z + i*c + x*c**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 2*y - 3*y)*(-3 + 3 - 2) + 9 - 360*y + 358*y + 22 in the form l + m*y and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/10 + (-19)\/(-190). Let w(k) = -3*k - 1. Let m(d) = -4*d - 2. Let j(g) = a*m(g) - 3*w(g). Give j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u - 4*u**3 + 4*u**2 + 1 - 11*u - 8*u + 0*u**2 to the form f*u + p + n*u**3 + o*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*c - 16 = 0, 2 = 5*n - 5*c + 9*c. Suppose 0 = n*w - 10, -2*b + 3529 = -w - 4*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-36)*2\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -58, -172, -336, -550, -814, -1128?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4973943259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078327147 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204732 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 + -275. Let v(k) = -k + 1. Let l be v(i). Solve -1 = -5*w + l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c75 (base 15) in base 6?\nAnswer: 322215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*c*l*o**2 + 32*c*o**2 + 43*c*o - l*o**2 - 12*l - 2*o wrt o.\nAnswer: -220*c*l + 64*c - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5235 - 5235. What is the fourth smallest value in -5, p, -0.5, 0.1, -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 8*q - 7. Let d be a(7). Suppose 4 = 3*c - 2*s, -3*c - s - 11 = -d*c. Calculate the common denominator of c\/4*(-372)\/(-32) and 59\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0.4 (b) -94 (c) -0.4 (d) 1\/3 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3842, 15358, 34550, 61418, 95962?\n\"Answer: 3838*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 45, 182, 443, 870?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.10811062 to two dps.\nAnswer: 3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 9. Suppose 2*p - p - 9 = 0. Suppose -p = 4*z - 29. What is the remainder when s is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -670 - -1075. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 < 122\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqnqllqlrqq. Give prob of sequence rqqn.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4\/9 - 1028*p**3\/9 - 13448*p**2\/3 + 288288*p = 0.\nAnswer: -182, -108, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -a + 1161, 3*m + 4500 + 159 = 4*a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*b, b = 3*i - 12 + 8. Let q = -1 - -4. Suppose q*h - 5*h = 0. Solve -n + 1 = 5*s, h = -5*n + 4*s - s + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 1. Let m = 246 + -244. Let k(x) = 3*x**2 + 46*x - 531. Let b(j) = m*k(j) + 4*v(j). Factor b(p).\nAnswer: -2*(p - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s. Let u(p) = -p**2 + 10*p - 11. Let h be 3*(6\/9)\/1. Let c(o) = h*v(o) - u(o). What is the units digit of c(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185665251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 26. Suppose -k = -3*k + 20. Suppose 7*q = k*q. Solve -3*v - 2*f + 13 = q, 0*f + 7 = w*v - 4*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-2)\/(-4) - -1. Let v be ((-50)\/(-18) - 3) + 0. Which is the nearest to -1\/2? (a) n (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z + 78. Determine n(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 14352*n**3\/7 + 1173654*n**2\/7 + 14368860*n\/7 = 0. What is n?\nAnswer: -66, -15, 0, 7257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13032333 (base 5) to base 6\nAnswer: 2420550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1809 = -117*t - 433 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 78*f**3 - 1. Let s(o) = o**2 + 2*o + 1. Let k be s(-3). Let y be 0 - (-1 + k - 4). Let q be n(y). Calculate the highest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/12)\/n*n*n*n**(10\/9))\/(n*n**(-23)\/n)**(3\/11))**(-1\/11) assuming n is positive.\nAnswer: n**(-3353\/4356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 458, -4.\nAnswer: -5, -4, -1, 5, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2424 = 4*n - 2*t, -3*n = 3*t + 1818. Let p be n\/(-48) - 6\/(-16). What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11574 is divided by 311?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/54 - (-7)\/(-30) - 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85035 (base 9) in base 16?\nAnswer: db65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 94*(2\/(-4) + 1). Suppose r + 4*i = 73, r = 5*i + t - 1. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6555 + -5139. Is h >= 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300343641.\nAnswer: 3, 13, 17, 613, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 251*g**2 - 2529*g\/2 - 1521.\nAnswer: (g - 507)*(g + 2)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1 + 2 - (2 - -1). Let q(z) = -87*z + 1. Let g be q(d). What is the highest common factor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73 or -2128\/29?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/4, -104, 0.2?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306690?\nAnswer: 2, 5, 7, 11, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-1 + -1 - -13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82859199349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 4*r + 3*j - 6*j, -5*r - 4*j = -156. Solve 8 = -8*q + r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 270?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 9:42 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41593 - -41592.61474. Round f to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from iggskgn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/9)*i**(-10)*i*(i**2*i)**(12\/13) assuming i is positive.\nAnswer: i**(-703\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 87\/4? (a) -2.7 (b) -4 (c) 4.61 (d) 0.1 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 5*s + 6. Let b be v(5). Let l = -7 - b. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002302811 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 6712 - 7012 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 35 = 2*g, 5*g - 2*s + 7*s - 75 = 0. Which is the nearest to -5? (a) 5 (b) g (c) -1.3 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 8\/3*v**2 - 4\/3 - 2\/3*v.\nAnswer: 2*(v + 1)**2*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffii. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -74. Suppose -2*h = a*h - 568. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2 - 96. Let q(d) = 332*d. Calculate q(w(c)).\nAnswer: -3984*c**2 - 31872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1047490\/(-372) + 2 + 12)*-138*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:22 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/210)\/((-24)\/(-70)) - 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 10 - (1 + 0)\/1. What is the tens digit of (-56)\/(-5) + (4 - (-32)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/7 - 351314*g**2\/7 + 702622*g\/7 - 351310\/7 = 0.\nAnswer: 1, 175655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(832) + 0 - sqrt(832)) - (sqrt(832) + 6*(sqrt(832) - (2*sqrt(832) + sqrt(832))) + sqrt(832) + sqrt(832))) + -2*sqrt(832)*6*1)**2*6.\nAnswer: 1152*sqrt(13) + 45024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11431350 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290\/3 - -289\/3. Let j = -0.43 - -0.4. Let n = j - 2.97. Which is the second biggest value? (a) 1\/7 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 53 - 31. Calculate the remainder when 36 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -132231112414?\nAnswer: 132231112411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 11*r**2 + 14*r + 27. Let d be x(-12). Suppose -d*o = -7*o + 56. Calculate the least common multiple of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-132)\/(-88)*(-556)\/(-6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890668*w + 324 = 890677*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 4*c - 4*c + 1 - 1 - 3*c + (3 - 5 + 0)*(-c + 3*c - c) + (-1 + 2*c + 1)*(309 + 323 - 577) to the form f*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112673777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k**(2\/19)\/k)**(-37) assuming k is positive.\nAnswer: k**(-3589\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 4*p, 3*p - 9 - 8 = -v. Suppose 5*k + 5 = 0, 5*i - 951 = v*k + 3016. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/67, 1\/8 in decreasing order.\nAnswer: 2, 1\/8, 2\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -56.7. Let w = t + 2.2. Which is the nearest to -2? (a) w (b) -1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 352 (c) 5 (d) 75 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -22.281.\nAnswer: -21.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) + 30\/9. Let r(s) = s**2 - 2*s - 2. Let o be r(4). Let a be (2\/o)\/((-3)\/(-18)). Solve -a*p - p = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141002 + 3?\nAnswer: 141010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbkbkrllbkll. What is prob of sequence kgrl?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -312*h**2. Let y(g) = g - 88. Calculate y(l(i)).\nAnswer: -312*i**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20764, 20765, 20766, 20767, 20768, 20769?\nAnswer: 20770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l**(5\/4) assuming l is positive.\nAnswer: l**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 20*w**3 - 298*w**2 - 34*w + 79. Let k be c(15). Solve -k*o + 90 = 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.8 - 27.8. Which is the closest to r? (a) 8\/5 (b) 1 (c) -5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/4 + 27*r**3\/2 - 9*r**2 + 2*r. Is 2 a factor of o(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 0*m**4 - 1062*m**3 + 4*m**2 + 1060*m**3.\nAnswer: -2*m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*x**2 + 188*x**4 - 6*x**2 - 180*x**4 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/31 + 314\/155. Which is the second smallest value? (a) 3\/2 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514701303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (2 + -4) - 0. Suppose -16 = -p*x - 0. Let g(z) = z + 7. What is the remainder when g(x) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 0)*1\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.335 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3*a**2 - 5*a - 2. Let m(i) = i**3 + 4*i**2 - i - 2. Let r be m(-4). Let f = r - 5. Is 8 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929747605?\nAnswer: 5, 185949521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 515*k**3 - 3410*k**2 - 4800*k.\nAnswer: -5*k*(k + 2)*(k + 5)*(k + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -6 (b) 0.1 (c) 0.6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584588794 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -3*g + 5*i + 103, 6*i = -7*g + 75 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*f - 60, -3*k = -4*f - 4 - 11. Which is greater: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558\/39 less than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112825343871212 - 112825305789128.99999992. Let m = -38082085 + y. Let g = -2 - m. Round g to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5774*a**2 + 15*a - 21. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 2*h - 1. Let n be 0 - (0 + 1)*-4. Suppose -2*k - 4*a = -n, -4*a - 6 = -7*a. Is p(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224307 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 951\/4 - 751\/3. What is the common denominator of 77\/36 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 105333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1679*b**3*y**4 + 10*b**3 - 4*b*y**4 - 908*b*y wrt y.\nAnswer: 20148*b**3*y**2 - 48*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*i**3\/4 - 1577*i**2\/4 + 2431*i\/4 - 1095\/4 = 0 for i.\nAnswer: 1, 1095\/241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40251402 a multiple of 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 470\/(-40)*-1*4. Let d = -17 + a. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.3 (c) -11149154 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52533.\nAnswer: 3, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23926, 40766, 50516, 53176, 48746?\nAnswer: 37226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 2, t: 2, k: 1, q: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 + 3 = 0. Suppose -4*z + 188 = 5*g, -f*z + 154 = 4*g + 3*z. What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbqxzqzjzzxxjzqjzzz. Give prob of sequence qb.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 17. Let s = -1 - 6. Let j be z(s). Let 0*a**2 - 3\/4*a**j - 3\/2*a + 3\/4 + 3\/2*a**3 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-10) + 2)\/(((-832)\/(-260))\/(-16)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/27 and 43\/55236.\nAnswer: 497124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = m - 4*p, -3*m + 3*p - 140 = -4*m. Let w = -128 + m. Calculate the greatest common factor of 126 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 5*m + 139. Let i(r) = 3*r**2 + 5*r + 164. Give -6*i(x) + 7*w(x).\nAnswer: 3*x**2 + 5*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 2*i + 3*i)*(1 - 2 - 6) + (5 - 7 + 0)*(-3*i + 3*i - 2*i) + 4*i + i - 4*i)*(-2 + i + 0*i - 3*i).\nAnswer: 18*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 45 = -4*p, 2*r + 3*r - 46 = -3*p. Suppose 0 = 2*z - 7 - 5. Calculate the remainder when 3\/z*8 + 27 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 846195.\nAnswer: 846195.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69316*t - 13958*t**2 - 25 + 25 + 69316*t)*(1 - t - 1).\nAnswer: 13958*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 61. Suppose -5*z + v*z + f + 294 = 0, z - 3*f = 90. Calculate the highest common divisor of 66 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -1, -188, -2, 1.\nAnswer: -188, -168, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (56*l + 41*l + 1879 - 98*l)*(-1 - 1 + 1) + 0 + 3*l + 0 - 4 + 2*l + 4 + (6 - 3 - 1)*(4*l + 0*l - 3*l) + 2 - 2*l - 2 in the form d + a*l and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6117578 is divided by 2418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:17 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/17226 and -13\/191400.\nAnswer: 1722600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 4, y: 4, c: 1, j: 3, f: 1}. What is prob of picking 2 y and 1 p?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Let k = s - 4. Let a(v) = v**2 - 2*v - 6. List the prime factors of a(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 555 and 88735?\nAnswer: 9849585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 1 - 2 + (2 + 0 + 0)*(1 - 6 + 3))*(-5 - 2 - 1)*(0*n**2 - 2*n**3 + 0*n**2) as p*n**2 + x*n**3 + s*n + u and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2951752 - 2951752.03718871. Let x = -0.33718853 - i. Let a = x + 0.3. What is a rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t = 111*t + 225 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19 - 291519)*1*-2. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27853119 - 58976710. Let x = -44923591 - w. What is x rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Sort q, -1, 0.4.\nAnswer: -1, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/((-220)\/275 - 9\/(-5)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - z + 2202 - 7307, 2*i + 2*z = 2560. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12459 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - 170.102. Let z = n + 0.102000743. What is z rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 656935404979 and 12.\nAnswer: 656935404991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26585\/8 - -3318. Let r be (7\/(-12))\/(44\/(-650)). Let o = -269\/24 + r. Find the common denominator of o and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 104 = -y, -5*s - 4*y = -4*s - 9. Let v be 2\/(-4) - (-42)\/4. What is the greatest common divisor of v and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191522314.\nAnswer: 2, 67, 619, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 9}. What is prob of picking 2 x and 1 f?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35150997 is divided by 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3995939 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-552)\/(-69) - 105\/10) + -4?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*n + 44, 2*n - 7*n = -25. Let o be (-210)\/(-50) - v\/(-10). Suppose o*k = k + 860. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116\/77 - 4\/11. Determine u so that 0 - 2\/7*u**3 + 2\/7*u - 8\/7*u**2 + i*u**4 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*w - 4757 = 15339, 3*v = -3*w + 20103. Let z be v\/(-6) + 6\/9. Let t = 11147\/10 + z. Find the common denominator of -11\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-54)\/12*2\/3. What is the units digit of y\/4*24\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6741.812 millilitres?\nAnswer: 6.741812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 111. Let y = a - 97.00000086. What is y rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*q**3 - 24077*q**2 - 2*q + 49916328.\nAnswer: 288*q**2 - 48154*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -13, 10, 69, 176, 343, 582, 905?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -0.30532.\nAnswer: 0.30532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -0.0623397.\nAnswer: -0.04987176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(sqrt(605)*-1 + -5) + -3)**2.\nAnswer: 42680*sqrt(5) + 251409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 - 229 + 46*w)*(-7*w**2 + w**2 + 4*w**2).\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(288))*-1)**2 + 6*(0 + sqrt(288)).\nAnswer: 72*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -679, -1356, -2035, -2716, -3399, -4084?\n\"Answer: -t**2 - 674*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*h + 268 = 0, 0 = -3*p + 3*h + 2*h - 211. Let a = -312\/5 - p. Sort 2, 5, a in descending order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwww when four letters picked without replacement from iwwiivwovoivviw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7 + 17. Let w = -3 + o. Let i = 4 + w. Solve 2*z + 1 = -3*b - i, 2*b = 4*z + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17. Let q be 0\/(t + (-4 - -3)). Solve q*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/(-5))\/(4*3\/150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63212933969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/12 + n**4\/12 + 26*n**2. Let c(j) = 26*j**2 + 11*j + 1. What is -11*a(g) + 2*c(g)?\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8.3936 times -0.1\nAnswer: 0.83936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 27. Suppose 0 = -2*k - 2*n + 28, -x*k + 56 = -n - 15. Suppose -3*p = t - 40, 2*p - k - 23 = -4*t. Solve 0 = -3*d - p, -4*u + 3*d + 8 = -2*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 39. Suppose -5*h = c*j + 262, -3*h + 5*j - 130 = -0*h. List the prime factors of (-174)\/(-4)*13\/((-195)\/h).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12 minus -0.5?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38.1 - 1300.8374\nAnswer: -1338.9374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-21) - (-2)\/6. Put q, 2, 0 in descending order.\nAnswer: q, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10485\/164 + 1443371\/23124. Let s = a - -2\/141. Let q = -12.1 - -12. What is the second biggest value in s, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4385, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-53)\/15*9\/(288\/(-40))*2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/6 + 5*z**4\/2 - 8*z**3 - 32*z**2\/3 = 0. Calculate z.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 4. Suppose 56 = i - t*v + 6, 5*v + 136 = 3*i. Suppose -3*f - 2*j + 90 = 0, j - 15 = -4*j. What is the greatest common divisor of f and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108625937 + 10*n + 11*n - 108625936 - 3*n.\nAnswer: 18*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:57 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4619, -8608, -12595, -16586, -20587, -24604?\nAnswer: -28643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96661 divided by -193?\nAnswer: -96661\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/(-10))\/((-10)\/(-25)). Let l = c - 8. Solve 12 = 4*z - z - 5*a, -20 = -l*z + 4*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/5, -3\/740, -2, -5\/2, -0.07?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -8. Suppose 3*v = -4*v + c. Suppose v*g - 18 = 3*m, 2*g = 4*m - g + 24. Sort 1, -5, m in ascending order.\nAnswer: m, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 341448*o - 14573342088.\nAnswer: -2*(o + 85362)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:23 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.9377m in millimeters?\nAnswer: 310937.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*z + 341*z - 2 = -q, 5*z + 4*q = 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1721, 1789, 1857?\nAnswer: 1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2\/3 - 1747*k\/3 - 7840\/3.\nAnswer: -(k + 245)*(7*k + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1002 and -44\/1169?\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221374016\/7 or 174482001?\nAnswer: 174482001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -26. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 - 298 + 119*l)*(-3 + l + 3) + (9 + l - 9)*(12*l - 13*l + 12*l).\nAnswer: 130*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117623 (base 10) to base 3\nAnswer: -12222100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1)*(0*f**2 - 5*f**2 + f**2) - 4*f + 4*f - 2*f**3 + f**3 + 2*f - 2*f + (3*f**2 - 2*f**2 - 3*f**2)*(4 - 4 + 2*f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 37\/2. Let q(j) = j - 28. Let t be q(0). Let m = t + 57\/2. What is the closest to o in m, 2\/13, 3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6047.\nAnswer: 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71370 divided by -7137?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15560 and 402436060?\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6082037*q**2 - 1054916.\nAnswer: 12164074*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(108) + 0 + sqrt(12) + 2 + (sqrt(3) - (sqrt(3) - (sqrt(108)*-2 - sqrt(3) - sqrt(3))))))**2.\nAnswer: 216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -99, -135, -155, -153, -123, -59?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-1)\/36). Let l(x) = 2*x**3 + x**2 - 4*x + 50. Let h be l(0). Let m = k - h. Solve -1 - m = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**0)\/(((t*t**5*t*t)\/t)\/(t\/t**(4\/5)))**(3\/8) assuming t is positive.\nAnswer: t**(-131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54184492 is divided by 1274.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 13. Let m be k(13). Suppose -4*b - 1 = -3*g - 5, 5*b - 20 = m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = 0. Suppose 4 = 4*a - i*a. Suppose 0 = y - 0*f + f + a, 0 = -2*y + 3*f + 23. Solve b - y = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-452*q**3 - 184*q**3 + 109*q**3)*(3 + 2 + q - 4).\nAnswer: -527*q**4 - 527*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbh when four letters picked without replacement from hbbhhhhhhhbhhhhhbb.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 140 = -d. Let w be -44 + 2 + 0\/2. Let u = d + w. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 6*x - 4. Let b(w) = -w + 2. Let o be b(-2). Suppose 3*f - 2*n - 10 = 0, o*f + 5*n - 14 = 7. What are the prime factors of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/49703 (b) -5\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1474*q**2 - 10*q + 3*q + 1427*q**2 to the form h + y*q + o*q**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 2*y**4 + 2*y**4 + (3*y**3 - 2*y**3 - 3*y**3)*(-y + 0*y + 2*y) - 19*y**4 - 34*y**4 - 4*y**4.\nAnswer: -57*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 9. Is 8 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1935144? (a) -0.3 (b) 0.5 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.04? (a) -5 (b) -131 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a factor of 1577233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -9. Suppose -4*a - 1 = -h. Suppose a*u - 26 = -u - 4*v, -2*u + 5*v - 21 = 0. Solve 4*n - 2 = u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633.\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 428 + 26. Let z = 134 - o. Which is smaller: -3\/14 or z?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41901*k - 41901*k - 1 + 3*k**3 - 91*k**2 as t*k**2 + m*k + p + s*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26881607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18679, -18645, -18561, -18403, -18147, -17769, -17245, -16551?\n\"Answer: 4*m**3 + m**2 + 3*m - 18687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 15 + -11 - (-20)\/1.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 128, 303, 552, 875, 1272, 1743?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 216354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - ((-43401)\/148)\/(-23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 48. Suppose 6*w = 62 + 862. What is the greatest common divisor of v and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1037267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let o(a) = -5 - a - 2*a**2 - 6*a - 2*a**2. Let t(p) = 3 - 2*p**2 + 3*p + 4*p**2 + p. Determine z*t(h) + 3*o(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(204) - (sqrt(204) - -6*sqrt(204)*-2)) + -5*(-2*sqrt(204) + sqrt(204) - sqrt(204)))\/(sqrt(96)\/((1*sqrt(80))\/sqrt(10)))*4.\nAnswer: 352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 695 - 695 + o**2 - 5*o**2 + o**2 + (0*o - o - o)*(0*o + o - 2*o))*(3 + o - 5*o + 3*o).\nAnswer: -o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {y: 2, r: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - f - 996, -2*r = f - 659. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 72. Let l(b) = b**2 - 1. Determine 2*l(y) + p(y).\nAnswer: 2*y**2 + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3528 and 96?\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -130992*f - 2095905. Calculate g(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200774 (base 8) to base 11.\nAnswer: -45690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -30. Let u be 12\/(-14)*5\/f. Suppose 2 + 0 = -2*q. Are q and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699*o = 752*o - 106. Solve -5*t + 55*d + 20 = 52*d, o*t - 3*d - 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*a + 40*a**3 + 2 + 4*a**2 + 41*a**3 - 8*a - 2*a**2 wrt a?\nAnswer: 486*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 43 + 9*z**2)*(26 - 55 - 5*z**2 + 28).\nAnswer: -45*z**4 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 7 + 8 - 15. Let c(g) be the third derivative of 0*g + 0 + 0*g**3 - 1\/24*g**4 - 2*g**2. Calculate y(c(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 14. Suppose q = 5*f - j - j, -5*j = -2*f - 7. Suppose 5*p - 2*z = 435, 2*p - f*z - 125 - 65 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + -67. Let s be (-84)\/w + 470\/(-14). Let x be s\/(-12) - 12\/16. Solve -x*i = 4*b - 0*b + 20, -i - 14 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3566 - -3577. Calculate the highest common divisor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 2166390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46391 + 16397 - 43016 = -2086*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2182, 7362, 21624, 49510, 95562, 164322?\n\"Answer: 757*q**3 - q**2 - 116*q + 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/5)*p)**(1\/69)\/(p\/p**(-2\/7))**(-23)*p**(-1\/3)\/(p**(-2)*p)*(p**2)**(2\/9) assuming p is positive.\nAnswer: p**(222547\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 181122.2 to the nearest one hundred.\nAnswer: 181100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63036\/515)\/102*-25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20\/17 - -729\/85. Calculate the common denominator of i and (-1186)\/60 + 6\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-5)\/(-2) - 2233\/(-22). Suppose -5 = 2*a - r. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 192*x - 194*x - 4, -5*x - 32 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/3 (b) -0.04 (c) 1 (d) 5 (e) 1\/6213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w**(-8))\/(w**(1\/3))**(-8\/11)*((w\/(w\/(w*w\/w**12))*w)\/(w\/(w**(-16)\/w)))**(-37) assuming w is positive.\nAnswer: w**(32645\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.721 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 59*t + 124. Give i(32).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 710.\nAnswer: -4970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301 and 2622699.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let u(v) = 7*v**2 + 6700*v - 119. Determine u(t(n)).\nAnswer: 28*n**2 + 13400*n - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 81. Let n be u(4). Solve 6*h - n = -11*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 10*o - 2457. Calculate the remainder when 50 is divided by (o\/84)\/((2\/8)\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*f**3 + 633113*f - 632936*f + 136*f**3.\nAnswer: 2*f**3 + 177*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 656\/(-8200) + (-177204)\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 320, 284, 230, 152, 44?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.05, 0, -2\/13, -2\/15, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/231228 and -55\/41619.\nAnswer: 3207826044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 203224 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 21, 5, -11, -27, -43?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*i + 334*i = 7830 + 29215 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - 7 - (-13 + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1025.59 times -67.38\nAnswer: 69104.2542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -380*y**3 + 762*y**2 - 31*y + 61. Give l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 6*w - 3. Is 6 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/17 and -5\/9979.\nAnswer: 9979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s. Let t(x) = 39*x**2. What is d(t(b))?\nAnswer: 117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(70)*-1*-2)\/((5*(2*sqrt(110) - sqrt(110)))\/(sqrt(132)\/(sqrt(60)\/sqrt(5)))).\nAnswer: -16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 8. Let o be i(4). Suppose 3*n - 8*n - 5*x + 145 = o, 5*n = -4*x + 141. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, 197 in increasing order.\nAnswer: -8, 6, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.23 - 0.23. Let f = l + -5. Let h = -6.7 + f. Which is the third biggest value? (a) h (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 7497\/(-686) + (-18)\/(-84).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32200541, -32200545, -32200551, -32200559, -32200569, -32200581, -32200595?\n\"Answer: -d**2 - d - 32200539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160 and 9251580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 123\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 g when four letters picked without replacement from {g: 7, h: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5 + 5 - 2*n**2. Let f(h) be the second derivative of -5*h**3\/6 - h. Determine f(d(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/51 (c) 1\/16616\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*j**3*u**3 + 264*j**3 - 21*u**4 wrt u.\nAnswer: 363*j**3*u**2 - 84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 + 10*a**3\/3 - 33*a**2\/2 + 224*a - 2. What is c(17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 - 8*c**2 + 6*c - 8. Is 22 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 145, 222, 303, 388?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {q: 3, y: 1, m: 12}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.76 + -10.76. Which is the closest to 1? (a) f (b) -0.7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.664 * 61464.\nAnswer: 102276.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*i - 101 - 53 = 0, -5*n - 4*i = -246. Is n greater than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(108) + 0)**2*-1 - ((sqrt(108) + (3*sqrt(108)*-3 - sqrt(108)))**2 + -4)).\nAnswer: -9392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let y(q) = -1. Let k(x) = t(x) - 6*y(x). Let n be k(10). Let i be 0*(1 + (n - -2)). Solve i = 4*l + 3 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 97*d**2 + 60*d + 3698. What is m(98)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 6, -3, -12, -21, -30?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 12. Suppose g*m = -3, -2*m + 0*m = -4*a + 198. Suppose 2*y = r + a, -2*y + 3*y - 5*r - 20 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93839 and 50718?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252153 + -13505?\nAnswer: 234244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/552 - (3 - 4038\/3)\/6. Calculate the highest common factor of 294 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 9*r + 7. Suppose 55*p + 1 = 56*p. Let u be b(p). Calculate the greatest common divisor of 7 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((1*(sqrt(104) + (sqrt(104) - 6*(sqrt(104) + -1*sqrt(104))) + sqrt(104)))\/(6*sqrt(128)*2) + 4)**2.\nAnswer: sqrt(13)\/2 + 3853\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 35, 59, 83?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1063742*o**5 + 4*o**2 + 2593*o + 5 wrt o.\nAnswer: 63824520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(30)\/((sqrt(45) + sqrt(5))*2 + sqrt(5)))\/((sqrt(72) - sqrt(72)*-2) + sqrt(8)*-2)).\nAnswer: sqrt(3)\/126 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -162*m**2 - 7*m - 6*m + 333*m**2 - 6 - 96*m**2. What are the prime factors of d(-5)?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 123, 246, 407, 606, 843, 1118?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1875 - -1960. Calculate the remainder when p is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52352 - 25?\nAnswer: -52421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) + (-75)\/9. Let x be (-12)\/54 + (-2)\/h. Solve k - 6*k - 5 = x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13815*z**3 + 2*z**2 + 10*z + 13. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.23 from -12227821.0734.\nAnswer: -12227820.8434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9371691 + -1.1562204. Let w = j + -0.781. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 438 = 3*t - 0*t, 156 = t - 3*a. Suppose 4*m + 468 = -5*f, 2*f - 4*m + t = -57. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t**3 + 20*t - 31*t**3 + 5*t**4 + 8*t**3 - t**2 - 1 as w*t**4 + n*t**2 + c + p*t**3 + d*t and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from cccoaca.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -0 + 15, -2*s = 5*b - 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16717 and 1.2665.\nAnswer: 0.211720805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 0, 0 = 5*s + 3*q - 30. Suppose 2*j + s - 8 = 0. Let g(p) = -3*p + 1. Let y be g(j). Is -1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 7*c - 16. Let i be f(-7). Let z(l) = l**3 + 17*l**2 + 16*l - 3. Let v be z(i). What is the common denominator of 3\/v + (-114)\/(-60) and -15\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*m + 5*o, -5*o + 179 = -5*m + 134 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731687.\nAnswer: 7, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 1677.\nAnswer: 15093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9846 - -9846.044. Let z = -37.756 + 39.8. Let p = i - z. Which is the closest to -1\/2? (a) p (b) 0.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 9. Let x(o) = -o - 6. Let t be x(a). Is 1\/2 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10506*c - 7350. Let h(z) = 7001*z + 4900. Let j(r) = 7*g(r) + 11*h(r). Differentiate j(w) wrt w.\nAnswer: 3469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*v + 14 = -3*a + 331*v, -2*v + 4 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.7, -2, 0.3, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s - 5. Let w be d(2). What is the greatest common factor of 35 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795396989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 35 + -33 - (3 + -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/12 - (-2)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -35*u**2 - 15*u - 3. Let h(b) = -6*b**2 - b - 1. Let a(p) = 6*h(p) - v(p). Suppose r + 5*d = -2*r + 18, 5*d - 30 = -5*r. Calculate a(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/14847 and 113\/23716?\nAnswer: 7185948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14226, 28478, 42788, 57186, 71702, 86366, 101208, 116258?\n\"Answer: 5*u**3 - u**2 + 14220*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 52.035 and -0.5?\nAnswer: 52.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 4. Let l(p) = -p**2 + 2*p + 3. Let d(s) = -3*b(s) - 4*l(s). Factor d(y).\nAnswer: y*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*4\/(-8)*-4. Suppose w*d - 21 = -d. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551*t = 41194 - 148213 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6) + 595800060\/(-45). What is w rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - 3750\/(-105). Let k be (56 + 4)\/(i\/48). Calculate the greatest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3902 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 3. Let g be (-2)\/((-7)\/((-560)\/32)). Which is the closest to i? (a) g (b) 0.03 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 23 + 2*j**2 - 6)*(0*j + 3*j - 4*j)*(3*j + 0*j - j).\nAnswer: -4*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -0.1 (b) -1\/5 (c) 0 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 266, 1\/3, -2, 6, -2\/7 in decreasing order.\nAnswer: 266, 6, 4, 1\/3, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -678508*p**3 + 667702 with respect to p.\nAnswer: -2035524*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 174 = 3*z + 35, 141 = 3*z - 3*k. Let b be z\/(-120) - (-44)\/10. What is the highest common factor of b and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2543363 + -2543349.09919. Let z = -13.9 + j. Round z to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 72. Let k(d) = -2*d - 3 + 4 + p*d. What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.25 - 173.75. What is the nearest to -0.05 in -1\/3, g, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.90094 rounded to 1 dp?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkqk when four letters picked without replacement from kkkkkqkqkkkkqkkkqk.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, -401, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {w: 1, p: 1, q: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 217196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 204. Suppose -m*l - 2*l = 3*s - 81, 2*l = 0. Calculate the greatest common divisor of s and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmmvmurmummmmmm. What is prob of sequence uu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzzbzpzpzpzbbkb. What is prob of sequence pzq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10178645 is divided by 132189.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*a + 10 - 3*a in the form g*a + q and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 426722?\nAnswer: -426724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*o**4 + 33*o**4 - 29*o**4)*(8 - 1 - 3) + 0*o**4 + o**4 - 3*o**4 + (-1 + o**2 + 1)*(0 + 0 + 2*o**2) - 2*o + o**4 + 2*o - 4*o**3 + 4*o**3 - 2*o**4.\nAnswer: 315*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - -3 - (-15 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59289\/59 or -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2632 divided by 10.\nAnswer: -1316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 61*d + 141. Is r(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5444338 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 0, 15803 = -w + 3*w - 3*n. Let f = 12003 - w. Let i be (f\/6)\/2*(-1 + 24001). Round i to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/5 - -5. Let b = -0.991 + 93.991. Let n = b + -94. Put 9, n, -0.5, a in ascending order.\nAnswer: n, -0.5, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*i + 5, 0 = y - i - 1 - 0. Which is bigger: -1\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.661 - 0.461. Let h = k + -80.2. Let q = 5 - 24\/5. Which is the second smallest value? (a) -0.2 (b) q (c) h (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1494 - -1494.1. Are -183 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -5*u, -6*c + 9*c = -5*u + 30. What is the lowest common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -4 (c) -26\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 2*y**4 + 2*y**4 - 2*y**4 - 3 + 3 + (2 - 2*y**4 - 2)*(2 + 3 - 3) to k*y + r*y**2 + s*y**3 + a*y**4 + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r*r*r**(3\/5)\/r*r)**(-23))**(2\/43) assuming r is positive.\nAnswer: r**(-828\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**7\/175 - q**6\/150 - q**5\/50 + q**4\/30 - 3*q**2. Solve b(a) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3569417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 388*y**2 + 391*y**2 + 0*y + 10*y. Let z(l) = l**2. Calculate z(c(q)).\nAnswer: 9*q**4 + 90*q**3 + 225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.58 and 1009?\nAnswer: 2603.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**(2\/23)\/u)))\/(u**7\/u))\/(u**(1\/6)*u**(6\/11)))\/((u*u**(-3\/4))\/(u**3*u))**(-1\/25) assuming u is positive.\nAnswer: u**(-118027\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1839994, -3679976, -5519958, -7359940, -9199922?\nAnswer: -11039904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 4*k = 18, -22 = -u - 4*k. Suppose 0*n - 54 = -5*z + 2*n, 5*z - 72 = -4*n. What is the least common multiple of u\/(-5) - 252\/(-30) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-22)\/(-11)*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91852799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 76*q - 377. Let s be r(5). Let k(x) = -x**3 + 2*x**2 + 9*x. Let l be k(4). Solve l*f - 5*f + s = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/8)\/((-1)\/2). Solve 3*g + 3*t + 10 = -11, 0 = g - p*t - 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*r + 1167 = 0, v - 3*r - 124 = 164. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/(-280) + 1\/((-1)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 5*y + 6. Let r be s(5). Suppose -4*u = -4*x - 40, 5*x - 10*x - 26 = -3*u. Suppose -5*d + u*d + 126 = 0. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 + h + 9. Let i be j(4). Let l = i + 24. Suppose l*b - 1 = -16, -2*a + 7 = -3*b. Sort -3, -2, a in descending order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90684 divided by 22671?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 r when four letters picked without replacement from {r: 2, s: 17}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 760*s - 960*s - 26000 for s.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.7345 decades in millennia?\nAnswer: 3.047345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.35 (b) 1 (c) 12 (d) -0.0224 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ywxwxxxxwyyy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*p = 956*p + 1372 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*v*w**6 + 15*v*w**4 - 17*v + 37*w**2 wrt w.\nAnswer: -14280*v*w**3 + 360*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199833272 a multiple of 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2756 - 986. Round s to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115063774 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 21 = 5*j - 23, 0 = 5*j + 3*y - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20200200011 (base 3) to base 13\nAnswer: 47c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4224 + -4179. Let r = 106.814 - 61.8152. Let f = r - t. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -32. Let g = 2 + 7. Let k = n - g. What is the second biggest value in 1\/9, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 + 4 = 0. Suppose 4*b + l = -2*v - 1, -v = -4*b + 2. Solve 2*o - 5*z = 12, b*z + z + 16 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {q: 1, e: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 4. Suppose 7*z - 71 = -50. Let c be y(z). Solve -20 = -5*v + 3*p - c, 5*v + 3*p = 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59468?\nAnswer: 2, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-15))\/(5\/6). Let f = -3.4 + 1. Let x = -5.4 - f. What is the third biggest value in x, -0.1, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 - 7*y - y**2 + 0 - 5 + 2*y**3 - y**3. Let i be k(-5). Suppose -i*o + 83 = -592. What is the highest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317229180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.81 - -1.19. What is the nearest to -2\/7 in o, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 24 = 7*m. What is the smallest common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576833.\nAnswer: 613, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1793*h**3 + 8*h**3 - 5809*h**3.\nAnswer: -7594*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 506766251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d. Let u be k(1). Suppose -13 = 7*p + 43. Is p at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 3 - 3 = 0. Solve 2*h + 0*h + 8 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 - 0.02. Suppose u = 2*u, -20 = -2*m + 4*u. Let h be 3 + m\/(-12)*3. Put h, l, 1\/7 in decreasing order.\nAnswer: h, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256195 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -1545, -3708, -7153, -12120?\nAnswer: -18849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 0*c**3 - 3*c - 12*c**3 - 197 + 199. What is y(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3575 = 16*x - 16793. Which is greater: x or 1272?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 5*x - 59. Suppose -11*o = -8*o - 45. What is the hundreds digit of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -1, 1348, 156, 3 in increasing order.\nAnswer: -50, -1, 3, 156, 1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 753 divided by -6.\nAnswer: -251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = 4*t, 0*t + 7 = b - t. Let r = -213106 - -426215\/2. Factor -r*v**4 + 3\/2*v + 0 - 3\/2*v**b + 3\/2*v**2.\nAnswer: -3*v*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 21*i - 9. Let t(v) = -v**2 - 198*v + 3632. Let u be t(17). Calculate g(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 bigger than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:11 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g**2 + 149*g + 138. Let b(x) = -5*x**2 - 37*x - 34. Let j(m) = -9*b(m) - 2*r(m). Let j(w) = 0. What is w?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3625 + 153. What is v rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, -72\/7, 38.5, 2 in decreasing order.\nAnswer: 38.5, 2, 0.4, -1, -72\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 46*q**2 + 21*q + 1. Let s(w) be the second derivative of -3*w**4\/4 - 2*w**3\/3 + 5815*w. Determine 2*c(b) + 11*s(b).\nAnswer: -7*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-74 + 46) - 17 - -27.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3 - 2) + 552\/(-504).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.135? (a) 5 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/9 + 1555*f\/9 + 6236\/9 = 0?\nAnswer: -4, 1559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 20 = -5*s - 39, -4*k + 4*s = -16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*r**2*t*u + h*r**2*u - 4*h*r*t + 2*h*r + 2*h*t*u - 2*h - 418113*r**2*u + 389*r*t*u - 32*r wrt r?\nAnswer: -4*h*t*u + 2*h*u - 836226*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -56. Let q = -3 - u. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 5. Suppose -36 = -6*u + x. What is the highest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 114 - 208. What is the lowest common multiple of 7 and y?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8 + 0*t + 9 - 9 + t. Let q(x) = 2*x - 15. Give -11*i(n) + 6*q(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Suppose -4*t - 8 = t - 4*u, t = -l*u - 19. Let s be t\/6 - (-88)\/24. Solve -s*c + 5*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 45*g - 2. Let o(q) = -6*q - 1. Determine -i(z) + 4*o(z).\nAnswer: -69*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17.6, 1081, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 5453.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585176 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.021 - 0.017. Round n to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a - 10. Let j = 10 + a. Determine t so that -3*t**3 + 0 + 2*t**2 - 1\/2*t**j + 2*t**4 - 1\/2*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x - 4*x - 1 - x + (0*x - x - x)*(2 - 1 - 3).\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - -1.6. Let n = 269095.6 - 269096. Which is the closest to y? (a) n (b) 4 (c) 0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 105.1, 2\/5 in decreasing order.\nAnswer: 105.1, 3\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 375*s**3 - 325*s**2 + 45*s + 60*s**2 + 48*s**4 - 3*s**4.\nAnswer: 5*s*(s + 9)*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16808 times -1.6176\nAnswer: -27188.6208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 1561155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 90 + 1)*(0 - 4 + 10)*(6 - 6 + 13*g).\nAnswer: -10920*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 3 + 0 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 99718\/(-657) - -1*2\/(-9). Let f = 249 + a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/249365 and 41\/1855.\nAnswer: 1745555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4793.106 weeks?\nAnswer: 805241.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 0, -2*j - 2*j + 36 = 2*a. Let m = a + -8. Let h = m + -5. Let u(n) = n**2 - 4. Calculate u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1640, 29, -10 in decreasing order.\nAnswer: 1640, 29, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**2 + 11*j - 22. Let f be c(2). Let b = 89 - f. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092038 to five decimal places.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -3. Let y = -10 - -18. Suppose -z + y = 5. Put z, c, 7 in decreasing order.\nAnswer: 7, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140 - -160) + (-1 - 9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 3*s**4\/8 - 9*s**3\/2 + s**2 + 83. What is v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 3. Let m(o) = -6*o + 3. Let z(t) = 5*m(t) + 6*p(t). What are the prime factors of z(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 31. Suppose -4*x + 10 = -2*p, 4*p + 5 + 6 = 5*x. What is the nearest to n in -2\/7, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 1977000.\nAnswer: 1977000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 25*p - 4914. Calculate the highest common divisor of p and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27\/5, 119, 40.34, -2?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164653000.\nAnswer: 2, 5, 164653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433541 + -10?\nAnswer: -433551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by ((-46)\/(-46))\/(1\/21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by 605481\nAnswer: 148\/201827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/4 + b**2\/2 - 5*b + 949. Give r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 5*w, 5*t - 10 = -5*w - 0*w. Let u(c) = -c**2. Let q be u(-3). Calculate the remainder when t is divided by (-3)\/q*-1*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 4*b**3 + 3*b - 2*b**4 + 6*b**3 + 0*b to a*b**4 + z*b + j*b**3 + l + v*b**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 672 = 0. Let i = s - 98. Let p = -26 + i. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*s**3 - 19*a*s**2 - 4216774*s**3 + 1149*s**2 - 6*s - 1 wrt s?\nAnswer: 12*a - 25300644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/627119 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 2\/15 (c) 0.3 (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3779474 is divided by 654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 11*l = -30*l - 4, -4*a - 7*l = 35 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 i when three letters picked without replacement from {i: 4, s: 1, z: 1, f: 5, h: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 2*p + 1. Let g be n(-2). Suppose z - 3*i = 4*z - 3, g*z - i = -1. Solve z = -3*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(39\/(-12) - -3). Suppose 115 + 319 = 14*p. Is t bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.5056214 to 1 dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 1. Let y be h(6). Let l(q) be the first derivative of -9*q**2\/2 - 15*q + 301. Let g be l(y). Which is smaller: g or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 4*x - 3*j - 13, -4*j = 4*x + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 11*d**2 + 13*d - 2. Let u be y(12). Let x be -4*(-1)\/(-3)*-18. What is the smallest common multiple of 22 and u\/4*x\/5?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-1.1\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) + sqrt(128)*-4) - (sqrt(78) - (-5*(sqrt(78) - (-5*sqrt(78) + sqrt(78))) + sqrt(78)))\/sqrt(6))**2.\nAnswer: 7828288\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2750 and 19750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 206 = -14*i + 13*i - 186, i + 4*a = 23 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 17*x**8\/56 - 4*x**7\/105 + x**6\/60 - x**4\/8 - 10*x**3\/3 + 2*x**2 - 5179*x. What is the second derivative of f(w) wrt w?\nAnswer: 2040*w**3 - 96*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13159 = 16*r + 983. Suppose n + 2*w = r, -n + 64 + 685 = -2*w. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 421*p - 418*p - 12, 5*p = -2*c - 73. Let z(x) = -4*x - 15. Let m(r) = -11*r - 45. Let s(y) = -3*m(y) + 8*z(y). Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*j + 5 = 10, -5*l = 4*j + 2. Let o be -16 + l - (0 - -2). What are the prime factors of (o\/3)\/((-6)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 43187065.47421.\nAnswer: 43187065.53421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -75083*r. Let z(w) = 3*w**2 - 16. What is l(z(m))?\nAnswer: -225249*m**2 + 1201328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -1221b?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f - 27*f**2 - 8*f - 11*f + (-6*f + 2*f + 2*f)*(f + f + 0*f) to i*f**2 + t + x*f and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 154155 less than 154531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhhhhhuhhhhuhhhuhu. What is prob of picking 2 u and 2 h?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 36, 18, -8, -42?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -16. Suppose 3*m + 12 = 3*n, m = -m + l. Calculate the least common multiple of 14 and n\/(-12)*1*-15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 4 = -46*u + 204. Which is smaller: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/4 - 46239*o**2\/4 + 44525262*o + 133679844 = 0. What is o?\nAnswer: -3, 7708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6518.\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 83 + 6 + -187 + 163 + -23\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n - 4*n**3 + 5*n**3 + 131*n - 49*n - 35*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1062 and 80\/1443.\nAnswer: 510822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2 + 865062408*h + 46770810608422404 = 0.\nAnswer: -108132801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from sxtsssavvstvlvxv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505879719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let q(t) = -t + 1. Let z(j) = 35*j - 2. Let n(l) = -2*q(l) - z(l). Calculate k(n(y)).\nAnswer: -1089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m = 2 - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 + d + d + 1 + 0 - 18*d**2 to the form l*d + u + v*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419001583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t\/(t*t*t\/(t*t**(-2\/11))))\/(t*t**(1\/3)*t**(2\/27)))\/((t**(-1)*t)**(-1\/41)\/((t**6*t)\/t*t\/((t\/t**(-2\/9)*t)\/t))) assuming t is positive.\nAnswer: t**(56\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 21171000?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -331 = -24561\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**4\/12 - 2*q**2. Let k(h) be the second derivative of 0*h**2 - 3*h + 0 - 1\/3*h**3. Give v(k(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 167 = -5*g, 4*b - 50 = -124*g + 122*g. Let u(x) = x**3 - 39*x**2 - 3*x + 89. Determine u(g).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5130916912 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + -4.1. Let q = c + 1.5. Let s = 21 + -20.6. Sort s, q, 0.1 in decreasing order.\nAnswer: s, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let m(s) = s**3 - 4*s**2 + 4*s - 3. Let g be m(b). Let r = g + 11. Calculate the remainder when 31 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 + -29. Let y(p) = -7 - 15*p + 373*p**2 - 187*p**2 - u*p**2. What is the remainder when y(-7) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*v - 3*k + k, -v + 5*k + 18 = 0. Let c = 1 + v. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 < -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 14*d + 7. Let m be o(14). Suppose -m*t + t = -330. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20365 - -25905. Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 10. Suppose j = -2*p + 11, 3*j = p + 13 - d. Let b be (p - 48\/14)*-7. Solve -u + 0*u - 3 = 2*c, b*u = -9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 + 15*l**2 - 12*l + 3. Let m(x) = 4*x**3 - 14*x**2 + 11*x - 2. Let i(d) = 9*m(d) + 8*w(d). Calculate i(4).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112328, -225232, -338136?\nAnswer: -451040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*h**2 - 2*h - 26?\nAnswer: 42*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43660 and 6771740?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 5*p = 6*d + 119, -118 = -3*d + 4*p. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1335789 times 4\nAnswer: 5343156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*r - 285*r + 499 + 504 + 501 - 1504.\nAnswer: -522*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21535*k - 1458 + 1458.\nAnswer: 21535*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - -261. Let l(q) = -5*q + 8. Let o(d) = -d. Let s(f) = l(f) - 6*o(f). Calculate s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -27. What is the common denominator of (-2)\/w + (-114)\/20 and 29\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 3324.\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvnnnmnvnvnfvn. Give prob of picking 1 f and 1 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2. Let z(l) = -28*l**2 + 493*l. Give z(p(t)).\nAnswer: -252*t**4 + 1479*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215220343?\nAnswer: 13, 16555411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 5)*(-2 + 2 - 2*p) + 1097*p - 2313*p + 933*p)*(2*p**2 + 4*p**4 - 2*p**2).\nAnswer: -1116*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, m: 2, u: 1, a: 1, g: 1}. Give prob of picking 1 m and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-34) + -7 + 95\/85.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43015?\nAnswer: 5, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2862, 87, -0.2, -0.5?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.09 + -4.79. Let q = 0.7 + -3.1. What is the nearest to 1 in q, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-3 + 5 + 0)*(r - r - 4*r**2) - 3*r + 3*r + 28*r**2.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.9356 tonnes?\nAnswer: 94935600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 - -401. Suppose 0 = 4*t + 2*m - 0*m + 4988006, -t - v*m = 1247012. Round t to the nearest ten thousand.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1539) - 1*sqrt(1539))*-6 + sqrt(1539))**2 - (6*sqrt(1539) + 5 + sqrt(1539))**2*-5.\nAnswer: 3096*sqrt(19) + 378728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 2f?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/3 - 652*k**4\/3 + 218*k**3 = 0.\nAnswer: -327, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36932 divided by 9233.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/20)\/(1 - 2). Let j = -1187 + 797. Let h = j - -390. What is the closest to y in -1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(2448))*-5.\nAnswer: -60*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n**3 + 23*n**2 - 28*n + 8. Let b(v) = 22*v**3 - 23*v**2 + 29*v - 9. Let z(x) = 6*b(x) + 7*s(x). Determine z(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8911263.\nAnswer: 3, 2970421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009770972 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -10 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 1313 + 3977 - 1360 - 2*w**3 - 1317 - 3*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -467933.18 - 0.3.\nAnswer: -467933.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71084, 142175, 213264, 284351, 355436, 426519?\n\"Answer: -c**2 + 71094*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71535114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713900.\nAnswer: 2, 5, 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -236\/1285?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6626 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/385 - (-59 - 16371\/(-255)).\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 131*p**8\/336 - p**5\/6 - p**4\/4 + 34*p**2. What is the third derivative of c(w) wrt w?\nAnswer: 7860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 576059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8085 divided by 105?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let q be i(0). Let w(g) = q*g**2 + 3*g**2 - 6*g + 7 - 5*g**2. Let v(s) = s**3 - s**2 + s - 1. Let m be v(2). What is w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -6\/13, 3\/5, 2, -36?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 793*r**6\/60 + 47*r**5\/15 - r**4\/24 - 2246*r**2. What is the third derivative of d(j) wrt j?\nAnswer: 9516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5733\/637*(-2)\/10.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-16))\/(455\/(-182))*-28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2880 or 2748?\nAnswer: 2748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*g - 186, g - 103 = -3*m + 83. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -294*a**2. Let t(c) be the first derivative of -2*c**3\/3 + 14. What is t(p(d))?\nAnswer: -172872*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -3 - 6\/(-2). Let d(c) = -9*c**2 - 4*c + l + 4*c. What is d(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - 3*-1. Let g be (-32)\/48*174\/4. Let t = -26 - g. Solve 4*h = y*r + 12, t*r + 0*r - 23 = -5*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3 + 3)*(4821*q**2 + 4820*q**2 + 124*q**3 - 9639*q**2).\nAnswer: -248*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 - 77. Let m(r) = -2*r**2. Determine m(j(z)).\nAnswer: -242*z**4 - 3388*z**2 - 11858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:03 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9780441 to the nearest integer?\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1292)\/4256 - (-4)\/14 - (-1)\/7.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 912*j - 381 + 326*j + 381 as n*j + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 420889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4928.07 - 4928. Which is the closest to -1\/2? (a) -51 (b) u (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 a when four letters picked without replacement from {a: 2, z: 1, t: 1, r: 1, s: 1, k: 8}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14740918.92ns to weeks.\nAnswer: 0.0000000243732125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2294 divided by 5577?\nAnswer: -2294\/5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11834, 23708, 35690, 47834, 60194, 72824?\nAnswer: 85778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/143 and 113\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97537883873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/14 + (-1)\/2. Suppose h = 2*x - 0*x. Is -9*74*x\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -26*t + 32*t - 6*t**2 + 4*t**3 - 3*t**3 + 2. Determine m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(12\/18 - 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.374586m?\nAnswer: 0.007374586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(14\/(-3) - -4). Is 0 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44509 * -134.\nAnswer: 5964206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*p + p - 7 = 0, 5*s + 5*p + 20 = 0. Let y = 24 - 22. Suppose -2*q - 5*o - 1 = 0, -q + o = 6*o - y. Sort s, 4, q.\nAnswer: q, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00267955 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -4 (b) 8983 (c) 5 (d) -3 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (4 + -1)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 v when three letters picked without replacement from vvinivi.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 8 + 5)*(-4*g - g**4 + 4*g)*(14*g - 31*g - 73*g)*(3 + 2 - 4) + (-12 + 12 + 5*g)*(g**4 + 0*g**4 - 2*g**4).\nAnswer: 895*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -83, -169, -295, -467, -691, -973, -1319?\n\"Answer: -n**3 - 11*n**2 - 12*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 31. Determine r(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10034613 and 42.\nAnswer: 140484582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*o - 303*o + 2*p - 3 = 0, -9*p + 2 = 2*o. Let m(c) = c**2 - 2*c. Let d be m(4). Calculate the greatest common factor of d and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24419 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236.97 + -237. Which is the closest to 1\/2? (a) z (b) 2\/13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*d + 4*u, 167 + 13 = 2*d + 4*u. Let y(v) = -197 + 104 + d - 2*v. What is y(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -486 - -486. Solve b*a + 4*a = l - 16, -3*l - 20 = 5*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-288)\/40)\/((-9)\/15). Suppose -1 = -3*z + 8. Suppose -h = -o + 12, -z*o - o + h = -36. What is the highest common factor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/7, 1\/4, 0 in decreasing order.\nAnswer: 2\/7, 1\/4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 55*a - 22. Let k be y(2). What is the common denominator of 222\/k + 105\/140 and -95\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -626 - -173. Let b = r - -452.8. Put 0.23, 2\/11, b in descending order.\nAnswer: 0.23, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28070 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 129697356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 1.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9176043 less than 9176044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 - 342. Put d, -4\/5, 2, -2, -294 in ascending order.\nAnswer: -294, -2, -4\/5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = -0*g + 3*g, 2*g + 1 = 5*o. Suppose -b = 0, 7*r - g*b - 25 = 2*r. Suppose -32 = -r*a + 38. Calculate the highest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -95*s**2 - 76. Let w(o) = o**2 + 1. Suppose -96091 = -h - 96092. Determine h*c(p) - 76*w(p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1425510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = 0. Suppose d*c - 34 = -2*c + 4*x, 5*x = 5*c - 80. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, n: 2, q: 3, c: 2, w: 3, t: 1}. Give prob of picking 1 c, 1 q, 1 n, and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 - 24200*u**2 + 6232240*u - 391165440 = 0. Calculate u.\nAnswer: -5088, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/7)*m))**41*m**1\/m**8 assuming m is positive.\nAnswer: m**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 1, a: 3, u: 7, g: 2, y: 3}. Give prob of sequence ytg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2233 and 3654.\nAnswer: 40194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -2. Suppose -4*r - 17 = 5*o, 3*r - o = -0*o - 8. Suppose 5*q + 4*w + 33 = 0, 206 - 210 = 2*w. Which is the biggest value? (a) q (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 - (-8 + 14)) + 5 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + 0*b)*(-5*b**2 - 5*b**2 - 23*b**2).\nAnswer: 99*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 799.99 - 821. Which is smaller: n or 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/1050*14)\/(2\/(-8)))\/((-31)\/775)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 808 and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:08 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11*2*(-94)\/(-8) and (-3)\/2*31\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(231\/11)\/210.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) 0 (d) 685\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21978 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 7 = 461*z - 462*z, w - 17 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1885 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*c - 1823 = 0, -12*p + 742 = -10*p - 2*c. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 - 7*t**4 + 3*t**4 + (-5 + 5 + 2*t)*(-3*t**3 + 2*t**3 + 3*t**3) in the form r*t**3 + f*t + s*t**4 + u*t**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 96, 0, -2 in ascending order.\nAnswer: -5, -2, 0, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*v - 8*v + 77454 = 458*v. Let w(f) = f**3 - 9*f**2 + 11*f - 3. What is the least common multiple of w(8) and v?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let n be j(1). Let o = -2842 + 2841.91. Which is the closest to n? (a) o (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22312133311 (base 4) to base 6\nAnswer: 140545421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 13*u**2 - 3*u - 1. What is the remainder when a(-13) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -2*sqrt(70)*3)\/(sqrt(6)\/(sqrt(3) - sqrt(48))))\/(3*5*(sqrt(5) - -2*sqrt(45))).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61.5*-0.003\nAnswer: -0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 3*j + 2*j - 31 - 7.\nAnswer: -j - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731697 divided by -6.\nAnswer: -243899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -2284b?\nAnswer: 22848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 1. Let z(c) be the first derivative of c**3 + c - 111. Determine 3*q(s) - 3*z(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-20)*9\/(1386\/35).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 11*d + 7. What is k(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75325, -75054, -74779, -74500, -74217?\nAnswer: -73930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -658 + 1157. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/358559 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270 + 589. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 28*i = 150. Let t = -46 + i. Solve -d = -2 + t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2313*n = 27940 - 44131 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67447 or -202337\/3?\nAnswer: -202337\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290554*i**5 + 488*i**3 + 394803088*i**2 wrt i?\nAnswer: -17433240*i**2 + 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 242*t + 14107. Give i(43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 1\/(3\/(-195)). Suppose 5*y + 2*w - s = 0, -2*y + 4*y + 3*w - 23 = 0. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 51 = f, -8*u = -4*f - 3*u + 177. Suppose -3*h - 225 = -8*h. Suppose -n + f = -0*n - 4*a, 0 = -n + a + h. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15797 = -3*d + 54656. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -732 in ascending order.\nAnswer: -732, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b**3 + 2*b**2 - 2. Let o(f) = -44*f**3 + 5*f**2 - f - 5. Give 5*k(j) - 2*o(j).\nAnswer: -22*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -4.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k + 5*c + 1616 = 1816, c = -3*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2236, 2243, 2260, 2293, 2348, 2431?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -117 and 0.074.\nAnswer: -116.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/6)\/(-5)*72. Suppose 0 = c - 0*c + 5*u - 34, 0 = 3*c - 3*u - 66. Calculate the highest common divisor of y and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4)**(-2\/15)\/((c\/(c*c\/c**(-3)))\/c)**16 assuming c is positive.\nAnswer: c**(1192\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:50 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 235159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-10))\/((-5)\/25). Let n = -20 + v. Let z = n + -4. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than 10\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3 - 6058*b**2 - 18192*b = 0.\nAnswer: -3, 0, 3032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x - 325 = 72*x + c, 0*x - 8*x - 260 = -4*x + 6*c for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -11. Suppose 2*k - 40 = -l - b, -3*k + 44 = l. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 0.056, -0.4, -793?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.582 days to hours.\nAnswer: 7741.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(19) - sqrt(19)) + 1 + -1*sqrt(304)*5.\nAnswer: -20*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/30 + b**3 - 5*b**2. Differentiate d(a) with respect to a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1472802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let l(y) = -5 - 5*y + 15321*y**2 - 15321*y**2 - 9*y**3. Is 44 a factor of l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -11, 29, 101, 205?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2 = -c, -3*a = 3581*c - 3582*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 670 and 54158110.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 42*l = 540 - 46 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 62*s**2 - s + 3. Let c(y) = y**2. Let p(m) = 3*c(m) - n(m). Find the first derivative of p(j) wrt j.\nAnswer: -118*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/110 + 1319\/5. Suppose -15*u + j = -11*u. What is the lowest common multiple of u and 14?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + 6*-3*sqrt(95))\/sqrt(5).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 193*h**8\/56 + h**4\/6 + 103*h**2 + h + 33. Find the third derivative of f(g) wrt g.\nAnswer: 23160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -4, -9, 1, 79 in descending order.\nAnswer: 79, 1, -3, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12 - 29*z**2 - 12*z**2 + 8*z**2 - z**3 - 10*z**3 + 0 + 23*z. Let v(n) = 7*n**3 + 21*n**2 - 15*n - 8. Let x(o) = 5*j(o) + 8*v(o). Determine x(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 2*o**2 - o - 2. Let d be p(4). Let v = d + -61. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 1:22 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-147))\/(6 - ((-5)\/15 - -7)). Factor 2\/21*d + m - 2\/7*d**2 - 2\/21*d**3.\nAnswer: -2*(d - 1)*(d + 1)*(d + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*d + 1351, -4*p + 13*d + 1091 = 18*d. Let g = p - -81. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13936 and 4184016?\nAnswer: 54392208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from {d: 10, y: 2, e: 3, b: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300703\/(-343200) - (-764)\/(-28650)) + (-20)\/(-22).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9549.15216 + 9549. Round x to three decimal places.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 1489, 3410, 6069, 9466, 13601?\nAnswer: 18474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 2 d when four letters picked without replacement from nidvzvnizngzinzzzivd.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6cbc (base 14) to base 11\nAnswer: -13297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.9 - -48.64. Let o = c - -3.258842. What is o rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - 5) + -2 - (-3 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324037445*c**2 + 3259331*c - 1 wrt c.\nAnswer: -648074890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10584 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 343 + -227. What is the remainder when f is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-15)\/(-44)) - ((-40)\/(-35) - (-1560)\/(-140))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/16))\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2072)\/(-252)*9)\/(16\/((-8)\/2))*4\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 9*m**2 + 13*m - 27. Determine v(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.1 - -72.1. Put -3, -0.1, y, -0.5 in ascending order.\nAnswer: y, -3, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 z when four letters picked without replacement from xtlzztzxtlxl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 + 6*u + 5. Let m be c(-3). Let y = m - -195. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 11*y + 15. Let n = -90 + 100. Let z be x(n). Solve -f = -6*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730788 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23866757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Let o(h) = 4*h. Let j(s) = -4*s + 1. Let u(c) = -2*j(c) - 3*o(c). Let g(i) = i. Give r*g(p) + u(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, 0.3, 34 in ascending order.\nAnswer: -21, -1, 0.3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2184\/6263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2\/3, 2\/17, -0.4, -47\/5, -0.05?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6240000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1186632, 2373264, 3559896, 4746528, 5933160, 7119792?\n\"Answer: 1186632*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*h + 45, h - 65 = -42*w + 39*w. Suppose -w*l + 288 = -11*l. Is l at most 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffgfagaffxffsfafff. Give prob of sequence affa.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4156120.1 and -0.14?\nAnswer: 4156119.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*q + 36, -5*q - 7 = c + 22. Is -4 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*c - 83, -4176*c = -4174*c + 5*h - 49 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 75, 105, 135, 165, 195?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29625 + 29622.75. Which is smaller: b or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1435204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r**(-23)*r)\/r)\/r))\/(r\/(r**(-22)\/r)) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-15)\/(-48)) + -4. Let o(t) = -17778*t**2 + t + 20. Let i be o(b). What is i rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*1\/4*-2. Suppose 2*x = 4, 9*z + x = 68 - 21. Sort 4, z, d in descending order.\nAnswer: z, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 30. Suppose -30 = -5*u - k. Solve -4*x = 2*l + 2*l - 4, 3*x = -2*l + u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 27*l. Let m(q) = -69*q + 35. Calculate m(b(p)).\nAnswer: -69*p**2 + 1863*p + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 49 = 4*x - 22*b + 9*b, 0 = 19*x - 15*x + 5*b - 269 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Is n*((-4460)\/8)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 60, 75, 108, 165, 252, 375?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {x: 2, y: 7, o: 2, g: 7}.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 46691560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-2376) + 2657\/(-110) + (5 - -4)\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/155903 and -39\/1417300.\nAnswer: 15590300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1\/4, -3\/7, -212, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 1:20 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 4. Let s be d(-2). Let b be (-23)\/s - (-5)\/10. Find the first derivative of -9 + b*h**2 - 14*h**2 - 10*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/5302 and (3\/(-21))\/(10\/(-133))*(-1)\/482.\nAnswer: 53020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c - 3. Let k(u) = 21*u + 7. Let j(w) = 3*k(w) + 7*q(w). Let d(y) = -4 + 4 - 5*y + 2*y. Calculate d(j(t)).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 10*g + 15. Calculate r(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 69, 3 in ascending order.\nAnswer: 0, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1518 and 3952146?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 + 43 = -12*v - 51 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13 (b) 0 (c) 12 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*g - 304*g - y = -12, 6 = 5*g - 3*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*n**6 - 2*n**3 + 30*n**2 - 12*n wrt n.\nAnswer: 9720*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 2*z**2 - 4*z - 4. Suppose -2*j - m = -0*m - 11, -2 = j - 2*m. Let o(l) = -4 + 3*l - 6*l + l**2 + 1. Give j*o(i) - 3*c(i).\nAnswer: 3*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2410988*q**2. Let t(h) = -h. Calculate x(t(r)).\nAnswer: 2410988*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11990 - -15220. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*k = 0, -5*i + k + 3*k = -2. Let q be (-2)\/8*2*i. Sort -5, 3, q in descending order.\nAnswer: 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -87.94\nAnswer: 351.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27447918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 48. Let k = 30 - t. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (8 - (3 + -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + r + 1. Let k = 9 + -1. Suppose -4*h = 12 - k. What is y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15620, -31237, -46854, -62471?\nAnswer: -78088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**8\/560 - 5*z**3\/3 + 16*z**2. Let t(i) be the first derivative of f(i). Factor t(l).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 (base 10) in base 6?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q + 200*q - 1124 = -5294 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 68*s - 22*s - 16*s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 602640 and 37665?\nAnswer: 602640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21714 and 5123?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:49 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 219?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8*h**3 + 337 + 19*h**3 - 19*h**2 + 7*h**4 + h**5 - 373 - 60*h = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 + 7*h + 14. Calculate v(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(18)\/sqrt(6) + (sqrt(900)\/sqrt(12))**2).\nAnswer: 25*sqrt(3) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {h: 1, d: 1, z: 1, g: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8624067 is divided by 2441.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 80*d\/3 - 1003\/2.\nAnswer: (d - 177)*(d + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/3 - 16*a**3\/3 + 32*a\/3.\nAnswer: 2*a*(a - 2)**2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-20 - -28)) + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/20)\/(2\/6). Let d = 2 + -1.7. Let w = -0.58 + 0.18. Which is the smallest value? (a) d (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -322*f - 975. What are the prime factors of q(-24)?\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 12. Suppose 3*x + 146 = 5*q + 6*x, 0 = -2*x - 6. Let w = q - 22. Give v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270*j**2 - 947*j**2 - 9737 + 224*j + 9737 wrt j?\nAnswer: -1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4884565 - -7109570. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 91*g**3 + 6*g + 3. Let k be c(-2). Let l = k + 1446. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201706 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 96, 351, 796, 1485?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6044 by -6.\nAnswer: 3022\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -921, -914, -907?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21597 - -23060. What is the lowest common multiple of a and 143?\nAnswer: 19019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 + 531*u + 1215. Give s(78).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 31*p - 55. Let i(u) = -4*u + 7. Let j(w) = b(w) + 8*i(w). Let k(h) = -4*h + 2. Determine 16*j(z) - 5*k(z).\nAnswer: 4*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -28, -2, 4\/7, -1\/22, 2\/7, -74?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - g = -128, 8*g - 9*g = -4*u + 128. Calculate the least common multiple of 24 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - i - 180 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 162 and -0.1.\nAnswer: 161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38387, -76339, -114291, -152243?\n\"Answer: -37952*m - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322 and 3234?\nAnswer: 74382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1351575 and 89\/30.\nAnswer: 2703150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + u + 2. Let m be l(2). Which is the third smallest value? (a) 1 (b) m (c) 2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(300))\/(6*sqrt(6)*-1 + sqrt(6)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121507.4196s in weeks?\nAnswer: 0.200905125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1300, -2603, -3906, -5209, -6512, -7815?\nAnswer: -9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - s)*(-75 + 152 + 218*s**2 - 77).\nAnswer: 218*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9420881*o**2 - 491*o - 394 wrt o?\nAnswer: -18841762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-5 + (-9 - -17)) - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -6*g + n, -n - 15082 = -g - 15105 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -3. Let u = -13 - h. Which is the second smallest value? (a) -1\/7 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27 + 1 - (6 + 1 + -7). Let g(d) = -3 - 51*d + z*d + 25*d. Give g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 331.1369?\nAnswer: 327.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 1 + 22*y + 53*y. Suppose -u + 58 = 57. List the prime factors of l(u).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419400740 by -11.\nAnswer: 38127340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.39 - -2.09. Which is the closest to 2? (a) k (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1929, -1, 1, 9, 1\/6, 5, -1\/2 in descending order.\nAnswer: 9, 5, 1, 1\/6, -1\/2, -1, -1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -14*u + 0*u**2 + 0*u**3 - 1\/6*u**4 + 1. Let y(j) = 2*j**2. Give r(y(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 27473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f**(-5))\/(f**(-3\/2)*f**5) assuming f is positive.\nAnswer: f**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -473, -991, -1545, -2135, -2761, -3423, -4121?\n\"Answer: -18*m**2 - 464*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 33. Suppose -l = -4*k + 17. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 + 200\/32. Suppose -u*g + 156 = 9. Is 3 a factor of (-36)\/g*(-70)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898357 is divided by 219.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*b - 12 = -160*b, 0 = -5*x + 5*b + 19834530. Round x to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10 - u + 4 - 3. Let s be k(-7). Let w be 12\/11*(32 + -33). Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*n + 604*n + 295*n**2 - 310*n - 5 in the form i + f*n**2 + s*n and give f.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 5*y**2 + y. Suppose d = 3*d - 6. Let b(c) = -6*c**2 - 3*c**2 + 5*c**2 + 5*c**2. What is d*b(q) - i(q)?\nAnswer: -2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -443400 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383\/4 - 2321\/28. Let s = -1724\/133 + t. Let m be 2\/(-6) - (6 - 80\/12). What is the smallest value in 1, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101001001001 (base 2) in base 16?\nAnswer: 2a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -97356722036401*k**2 + 39467804*k - 4 = 0.\nAnswer: 2\/9866951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 (base 12) in base 2?\nAnswer: 11111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:58 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 2*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -2 - -8)*(-1)\/(-3). Suppose 0 = -3*y - 6 - 6. Let m = y + 4. Solve m*l + x = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 10*f + 235*f**3 + 17*f.\nAnswer: 235*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.045, -0.3, -3, 3\/26 in ascending order.\nAnswer: -3, -0.3, -0.045, 3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2)\/(4\/(-11)*1936\/(-352) - 4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 7705, 2 in increasing order.\nAnswer: -113, 2, 7705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o. Let j(x) = 2*x**2 - 3*x. Let s(m) = -6*m**2 + 8*m. Suppose 4*h - 9*h = 15. Let l(q) = h*s(q) - 8*j(q). Determine l(a(b)).\nAnswer: 450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44035 is divided by 8337.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 152. What is s(8)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136481.\nAnswer: 136481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 752\/35 + -2186\/105. Determine g so that 2\/3*g - z*g**2 + 4 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**3 + 11. Let w(z) = 7*z**3 - 10. Determine -5*g(v) - 6*w(v).\nAnswer: -2*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -1a2?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d53 (base 15) in base 9?\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29454 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -32190 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19117071.3 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1919*d - 1914*d - 5 = 5*v, v + 4*d - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -208, 56, 320?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d\/((d**(4\/13)\/d)\/d)))*d*d\/(d\/d**(8\/3)))\/((d*d\/d**(1\/13)*d*d*d)\/d**(-7\/2)))**(1\/8))**6 assuming d is positive.\nAnswer: d**(-239\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*i - 906 + 11002 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 391\/92 - 3\/(9\/15).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29514 - -30900. Calculate the lowest common multiple of 66 and z.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1348 - 1362. Suppose 0 = -j - j + 6. Suppose -j*t = -5*t - 4*x - 22, -t + 3*x - 16 = 0. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 791 divided by -113\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 a, and 1 w when four letters picked without replacement from jwawjjyywayyyfn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -9*8\/12. Let v(n) = 7*n - 6. Let z be v(s). Calculate the highest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c6 (base 15) to base 3\nAnswer: 212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(66)*3)\/sqrt(6)*-1.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -2893*c**5\/5 - 5*c**2 + 193*c - 5171. What is the second derivative of u(q) wrt q?\nAnswer: -34716*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-1)*(-3)\/6. Let r = -4 + q. Let g be ((-5)\/2 - r)*4. Is 1 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/702 and -53\/2548668?\nAnswer: 298194156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + h + 8 = 0, -3*a - 5*h - 10 = -h. Let m(f) = -2*f - 4 + 2*f**a - f**2 + 0. Let k be m(4). Solve 2*b - k = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -19*d**3 + 8 + 6*d**3 + 8*d**3. Let w(c) = c**3 - 2. Give -2*u(j) - 9*w(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0296 in -0.2, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4*g - 164*g + 17 + g**2.\nAnswer: g**2 - 160*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-4\/11)*r*r*r**(-2\/13)*r assuming r is positive.\nAnswer: r**(498\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:01 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let k be (3\/4)\/((-1)\/(-4)). Let h = -2.34 - -2.14. What is the smallest value in h, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*h - 14 = -2*h, 0 = 2*u + 4*h - 20. Let t = 0 - u. Is 10 a factor of (t\/9)\/((-4)\/114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12594435 is divided by 111455.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v - 5*i = 0, 0 = -5*v + 5*i. Let u be 6\/(-3) - -3 - -4. Solve u*g + d - 3*d + 14 = v, 5*d - 20 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/14 and 75\/205054.\nAnswer: 1435378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*q**2 - 493*q**2 + 2 - 2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-5)\/15)\/(2\/9)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*f - 154*f - 120*f in the form g + u*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 + x**5\/60 + x**4\/24 - x**3\/6 - 392*x**2. What is c(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -28.885. Let p = x - 46.885. Let a = 53.6 + p. What is a rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 25537\nAnswer: -2553.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/14 and 29\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from fdfdddffdf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 + 5. Let l be d(-5). Let i(b) = 2*b - 6. Let p be i(5). Solve 0 = 2*u - l*s, -p*s = 5*u - 8*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 666, -0.5, -4, -1, 13.1.\nAnswer: -4, -1, -0.5, 13.1, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.66 + -2.54. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4ca98 + -1075?\nAnswer: -50b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.34 + -0.06. Let k = 0.02 + -4.02. Let q = -2.5 - 0.5. What is the third biggest value in k, q, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/32 - ((-6)\/48 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**4\/4 - 7*o**3\/3 - 145*o**2 - 342*o. Differentiate y(r) wrt r.\nAnswer: 18*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 1\/10*v**6 + 0 + 2*v + 0*v**4 + 1\/2*v**2 + 0*v**3 + 0*v**5. What is the derivative of p(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q + 3*q + 8*q - 12. Is k(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let r be b(-8). Let n = -17 - -18. Solve 4*o - i + r = 0, -n = -5*o + 5*i - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 5*y - y**2 + 3*y. Let r(x) be the second derivative of -x**3\/2 - x. Give r(k(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*i + 835*i + 20296 - 11836 = -20676 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25*((-8)\/5 - -2). Is (1\/2)\/(i\/(-540)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 42. Let p be (-651)\/(-9) + s\/6. Let u = p - 68. Let g(y) = -y**3 + 4*y**2 - 5*y + 3. Calculate g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/3)\/((c*c**(10\/9))\/c))\/(c*c**(-8\/9)*c**(1\/21)\/c))**(12\/7) assuming c is positive.\nAnswer: c**(-404\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*y**2*z - 6*y**2 + 148*y*z + 2*z - 2216 wrt z.\nAnswer: 20*y**2 + 148*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 24. Solve 17*g - 14*g - c = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199657747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5*o - 6 - 3*o**2 + 2*o**4 - 2 to w + m*o**3 + r*o**2 + b*o + v*o**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.513106 centuries?\nAnswer: 5415.7272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/12*6 + (-4551)\/381)*(-6)\/(-21).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14732 is divided by 413?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60086856 a multiple of 4776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7149 - -0.9149. What is the fourth smallest value in 1\/2, -3, g, 447, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1312.707 - 1310. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smsssm. Give prob of picking 1 m and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 2*p + 2. Give x(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -195833856 divided by -96\nAnswer: 2039936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.481326um to centimeters.\nAnswer: 0.0004481326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1053*z**2 + 8*z - 54.\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let w = 0.13 + -0.33. Let x = -0.1 - w. Which is the third biggest value? (a) g (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268714895.\nAnswer: 5, 197, 272807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34286 divided by -17143\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 19*g + 6*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*g + 4*o - 137, 0 = -3*g + 4*o + 174. Let s = g - -24. Let r = s + -74. What is the highest common divisor of r and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 646 + -646. Factor 0 + 2\/3*j**4 + r*j**2 + 0*j - 2\/3*j**5 + 0*j**3.\nAnswer: -2*j**4*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4929*l**5 - 303*l + 18?\nAnswer: 98580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + -22. Let i = 207 + a. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204530.\nAnswer: 2, 5, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = -129*m + 106*m. Does m = -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -139, -112, -85, -58, -31?\n\"Answer: 27*z - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4092 greater than -4025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043197666 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/16*(-8)\/2. Let a = v + 17. What is the lowest common multiple of a and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnbt when four letters picked without replacement from {n: 3, b: 13, t: 2, v: 2}.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (-108 + (-22 - -127))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31429*a - 302527 wrt a?\nAnswer: 31429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16\/3)*t**(-1\/5))\/(t**(-2\/7)\/(t**(-3)\/t)) assuming t is positive.\nAnswer: t**(-971\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = -2*b, -3*b + 0*b = -5*z + 14. Solve -1 = z*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and 49411.\nAnswer: 93880.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u - 14. Let h(b) = -3*b - 3. Let z(m) = -11*h(m) + 2*k(m). Let y(g) = -g - 6. Determine 3*y(p) + 4*z(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 13*j - 7. Calculate r(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*t + 25 = -3*d, -t - 2*d = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7585.\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/p)**(6\/5)*p*p**25*p*p**28*p assuming p is positive.\nAnswer: p**(316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*i + 4*w - 30 = -1694*i, -2*i = -5*w + 34 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**3 - 113077492072 + 113077492072.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/41412 and -13\/6090.\nAnswer: 207060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from {l: 2, t: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 16. Let i = c - -14. Suppose -5 = 2*r + 5*p, -p - i = 3*r + 3*p. Let h(g) = g**3 + 4*g**2 - 6*g - 4. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 20*r**3 + 4*r**4 - 9*r**4 + 96 = 0 for r.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 0, -s - 3*s - 3*b + 7 = 0. Suppose s*i + 6 = 26. Let x(w) = -w**2 + 8*w - 6. What is x(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 0*w. Let l(z) be the first derivative of -2 + w*z - 1\/3*z**6 + 0*z**5 + 0*z**3 + 0*z**4 + z**2. Find the second derivative of l(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3*f + 11. Is j(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401710 is divided by 774.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/4283331 and -2\/11532045.\nAnswer: 149916585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**8\/420 + d**5\/20 + 13*d**3\/6 - 5*d**2. Let a(g) be the first derivative of k(g). Find the second derivative of a(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702 divided by -6.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 2 a when four letters picked without replacement from yxxrhuaraxa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208030843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1694539 and 220.\nAnswer: 33890780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {o: 9, e: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 - 124*t**2\/5 + 1462*t\/5 + 1584\/5.\nAnswer: -2*(t - 11)*(t + 1)*(t + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190101866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -2 + sqrt(1573) + sqrt(1573) + sqrt(1573) + ((sqrt(1573) + -2 + sqrt(1573))*4)**2 + -4.\nAnswer: -1375*sqrt(13) + 100727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 980008661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733488994883 - -1.3?\nAnswer: 1733488994884.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 914922 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -4*s. Let k(x) = -8*x + 2. Let j be k(0). Find the third derivative of 8*w**4 + 4*w**4 - 4*w**2 - s*w**2 + j*w**4 wrt w.\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:03 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 24. Let y be k\/(-6)*(-3)\/26. Which is the third biggest value? (a) 2\/3 (b) 1\/6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*k = -21, 3*k = -2*w + 3 - 10. Solve w*o - 9 + 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70025 and 1175?\nAnswer: 3291175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -27. List the prime factors of -1 + (2 + o)\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 7*g - 3. Let o be m(-7). Let k be o\/3*-17 - 3. Calculate the remainder when 3 is divided by (-32)\/(-14) - 4\/k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 210*j**2 - j + 429?\nAnswer: 420*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 72 = 4*m, u + 2*m + 2 = -m. Let r(f) = -f**3 + 12*f**2 + 13*f + 18. Is 18 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14558 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/24 and 32\/(-48)*(-77)\/12848.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7847, 15678, 23509, 31340?\nAnswer: 39171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-4) - -61 - 1. Let z = g - 107. Let r = z + 54. Calculate the smallest common multiple of r and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - sqrt(1512)*-2)\/(sqrt(72)\/(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470*n**5 + 489*n + 4 + 485*n - 973*n + 2851*n**5 wrt n.\nAnswer: 66420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*q - 5*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/9)\/(-2)*3\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49 - 26 - 28*y - 21*y + (2 + 2 - 2)*(3*y + 0*y - 2*y).\nAnswer: -47*y + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 1511, 2189, 2853, 3503?\nAnswer: 4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 633*a**4 - 3*a**2 - 32?\nAnswer: 15192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 505, 102, -573, -1520?\n\"Answer: -136*g**2 + 5*g + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5\/4, 7.5, 0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4879668 is divided by 278.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 5*l**7\/42 + 5*l**6\/6 + l**5\/2 - 10*l**4\/3 + l - 61. Let k(v) = 0. What is v?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 36 - 6 = -r, -5*r + 110 = -5*h. Let u = 50 - r. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/16*5\/30.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/(-6) - (-8 + (-141)\/(-18)). Suppose 3*p - 3*s - 7 - 2 = 0, h*s = -5*p + 35. What is the smallest common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from uupwupppuuppup?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 3*d - 7. Let z be m(5). Find the first derivative of 5*f**4 + 7 - z - 3*f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7452.843 to the nearest integer.\nAnswer: 7453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136 + 116. Let u be 7 + 145\/i + 34\/8. Suppose -u*r + 100 = 2*x, 5*r - 17 = -5*x + 98. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 11. Let x(i) = -9*i + 12. Let p(k) = -4*v(k) - 3*x(k). Let z = -222 + 231. Let c(o) = -o + 2. Calculate z*c(j) - 2*p(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(847) + 1.\nAnswer: -2 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/2 - 5*h**3\/6 + 60*h**2 + 5*h. Let d(q) = 23*q + 9. Determine 6*d(o) + 11*v(o).\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-168)*0 + (-1 - (-1 - 15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5512 - 5512.00002553. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972 = -26*y - 82*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/3 - 3\/3. What are the prime factors of (14\/w)\/((-22)\/231)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29700000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7725200 and 1424.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 64*p**3 + 112*p**2 = 0. Calculate p.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - -1) + (9 - -32 - -1223) is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 431\/3, 5, 4\/3, -62, -1\/10, -6 in descending order.\nAnswer: 431\/3, 5, 4\/3, -1\/10, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csc when three letters picked without replacement from {s: 5, c: 6, h: 2}?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455023123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 115. Let p = 1.7 + 0.3. Let s = 2\/2357 - -2351\/7071. What is the second biggest value in 2\/3, p, s, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50519 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -24*m**3 - 8*m**2 + 32*m + 92. List the prime factors of j(-6).\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13182*f + 27054*f = -1094837 - 4578439 for f.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -32*i + 8. Let s be a(-6). Suppose z = s - 75. Suppose k - z = -4*k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - g = 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13484?\nAnswer: 2, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.6, 46505, -6.\nAnswer: -8.6, -6, 46505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5359\/19 + 282. Let y = 0.544 - 0.024. Let i = y + 4.48. What is the second smallest value in i, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*f - 2*z, -32 = -4*f + 4*z - 0*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3007*m**3 + 7213*m**3 + 3930*m**3.\nAnswer: 8136*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-560)*376*-1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -17*q - 254. Suppose -4*b = -6 + 78. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11\/2 (b) -1\/3 (c) 0.3 (d) -0.87 (e) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1 + o + 3*o + 6*o**2. Let p be b(-1). Let m(d) = -d - 4. Let x be m(-6). Solve -p*n + 0 - 4 = x*s, n - 6 = 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*w + 622173 = 2580*w + 5882*w for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose k + n*c - 24 = 0, k - c + 2*c - 9 = 0. Let g = 28 + -16. Solve k*t + g = -x, 2*x + 0*t + 6 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 9*n**8\/448 + 15*n**7\/56 - 13*n**6\/32 - 19*n**5\/16 + 5*n**4\/4 + 9*n**3\/2 + 2007*n**2 - n + 1. Suppose y(b) = 0. Calculate b.\nAnswer: -9, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 20*u - 46. Let i(m) = 19*m - 48. Let d(s) = 7*a(s) - 6*i(s). What is the hundreds digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 467648 - 131236 - 491996 = 0. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.368 + -5.632. Which is the nearest to -2\/9? (a) s (b) 1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**4 - 141*j**3 + 273*j**2 - 99*j - 54.\nAnswer: 3*(j - 3)**2*(j - 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -814 + 817. Let n be 9\/6*(0 - -2). Solve 5*u + 10 = -3*a + j, -a = u + n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138613979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25986 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 5. Suppose n*b - 6 = 2*b. Factor 1\/5*p**b + 0 + 0*p + 1\/5*p**3.\nAnswer: p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (19 - 11) - (-180)\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 2*x + 4*t - 13, -4*t + 21 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 12 = 2*k, 6*x + 5*k - 36 = -66 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 57, 3, 7 in decreasing order.\nAnswer: 57, 7, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 32894896793.\nAnswer: -32894896793.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -164 (base 7) to base 16\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1966.3 - 1962.3. Suppose -459 + 69 = 5*l. Let m be 8\/l*(-3)\/2. Which is the closest to 1? (a) s (b) 3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 5*t + 11. Let p(d) = d**2 + d. Calculate h(f) + 3*p(f).\nAnswer: 2*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 28*o**2 - 324*o - 157. Is q(64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2 + 1. Let s(w) = 4*w - 5. Let x(q) = -6*q + 8. Let f(v) = 8*s(v) + 5*x(v). Let j be f(c). Solve -7 + 17 = -j*b, -5*b - 27 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153) - sqrt(153))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*y + 27978 = 9996 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320176626 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-71)\/(-75) + -1)\/(10\/25). Which is the third biggest value? (a) r (b) 4 (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -15 - (0 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68)*-3 - sqrt(68)))\/sqrt(4) - (-3 + sqrt(68)\/sqrt(4)))*-2.\nAnswer: -6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 = 12. Find the second derivative of m*s + 15*s - 21*s**3 + 25*s**3 + 17*s**3 wrt s.\nAnswer: 126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51\/16 - -255\/16. Find the common denominator of x and (721\/(-112))\/(15\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -3.359.\nAnswer: -0.47026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/(i**(-4)*i))\/((i*i**(-2))\/(i\/(i*i\/i**(-3)))) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*w - 21*w + 5*w**2 + 17*w**2 wrt w.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 333\/185 - (-4)\/(-5). Sort 8\/3, a, -2 in increasing order.\nAnswer: -2, a, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5014812 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 7*v + 5. Let p be o(7). Let a(s) = 39*s - 4. Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1277*k**2 + 7350 wrt k.\nAnswer: -2554*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*i - 9, 2 - 17 = -5*w. Suppose c + 2 - 4 = i. Solve c*h + 1 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 50*c**2 + 1547*c - 14. What is p(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from azzallclala?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 810, 1069, 1326?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:34 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) - sqrt(176)) - (3 + sqrt(21)\/sqrt(3)).\nAnswer: -4*sqrt(7)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 1918 = 36*f. Suppose f*k = 147*k - 950. Suppose -5*a + 48 + 47 = 0. What is the highest common divisor of a and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33133.6*-0.5.\nAnswer: -16566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729, -693, -673, -675, -705, -769, -873, -1023?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15))**(-18)*(t\/(t**10\/t))\/(t**(5\/6)\/t*t) assuming t is positive.\nAnswer: t**(-193\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-268)\/(-2)*(1 - (-25)\/10).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0. Let d = 4.2 + -4.8. Let v be (3*4\/15)\/(276\/(-460)). Which is the closest to d? (a) v (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 46*x + 2. Let j(d) = -23*d - 1. Let s(l) = -4*h(l) - 9*j(l). Let m be s(1). Suppose -3*g - m = -15*g. Sort -3, 1, g, -1 in decreasing order.\nAnswer: g, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1819713516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.285 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7101092 is divided by 196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 211455732 and 61644?\nAnswer: 2326013052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 - 2\/5. Suppose 5*c + 4*x - 67 = 2*x, 2*c - 3*x = 42. Solve 5*l - k + 7 + 0 = p, -3*l = 3*k + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*k**3 + 4*g**2*k**2 + 44*g**2*k*t + g**2*k - 565*g*k**3*t - 1879*k**3 with respect to t.\nAnswer: 44*g**2*k - 565*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 16 - 4)*(3*z + 0*z - 2*z)*(9 + 20 - 18) in the form k + c*z and give c.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/20 + i**4\/3 + i**3\/3 + i**2\/2 - i. Suppose r - 5 = z - 1, -4*r + z + 19 = 0. Suppose 0 = -2*p - 1 - r. Calculate d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, h: 5, d: 1, x: 5}. What is prob of picking 3 c?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -7 + (-8 - -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 4 (c) 1\/4 (d) 347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-4)\/(-6))\/(-1))\/(22\/(-81015)). Let a = -58825\/24 + v. Calculate the common denominator of a and 5\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -446, -664?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4152\/152437 - -2\/2147. Suppose 431*o - 427*o = 2*a + 18, 37 = 2*o - 5*a. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 10*q - 11. Calculate g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5315248 kilometers?\nAnswer: 531524800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trxicxcb. What is prob of sequence bt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -4.2. Let v = 1.6 + 2. Let l = v - y. What is the second biggest value in l, 0.5, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 33 = 5*x + n - 4*n, -2*n + 13 + 25 = -6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j + 85. Let g(u) = -u - 6. Let n(b) = -85*g(b) - 6*y(b). Suppose 0 = x + x - 3*c - 7, -9*x + 21 = -3*c. Give n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c - 1 + 1)*(5 - 4 + 1) - 2*c + 0*c + 0*c - c + 0 + 0)*(651 - 50 + 494)*(-1 + 5 - 1)*(-c**3 - c**3 + 0*c**3).\nAnswer: -6570*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-57))\/(45*(-47)\/(-8930)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203203 (base 4) to base 9.\nAnswer: 8658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 93608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4, 13*k - 11*k = -z - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 83. Calculate n(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + -7 - 13 - -100 - 15.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(468) + sqrt(468) + sqrt(468)*2 + sqrt(468) + sqrt(468))*-3 + -2)**2 - (-4*(-3*sqrt(468))**2 + (-2 + sqrt(468))*-1)) + -5.\nAnswer: 1302*sqrt(13) + 168509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42697946 take away -677387?\nAnswer: -42020559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1140770.925us?\nAnswer: 0.0000018861953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 + 3*h - 276. Give a(0).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 510660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36\/7 - -34\/7. Which is the nearest to n? (a) 3 (b) 5 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (16 - (32 + 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8923*j**3*o**2 - j**3*o + j**2*o**2 + j**2*o - 62*j**2 + 5*j*o**2 + 4*j - 2*o wrt o?\nAnswer: -17846*j**3 + 2*j**2 + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131767499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (3 - (1 + -4 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020139 to 4 decimal places.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, 3285.\nAnswer: -1, 0, 5, 3285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100172234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 5*r + 216. Let i be (0 + 39375)*r\/(-3). Suppose 4*s + 0*s = -i. Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -615 + 859. Calculate the remainder when x is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 20 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c - 3. Let l be u(2). Calculate the greatest common divisor of 42 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 18224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -33*q**7\/35 - q**6\/60 - q**5\/20 - 29*q**3\/2 + 51*q**2 - 5*q. What is the third derivative of a(y) wrt y?\nAnswer: -4752*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20837264 divided by 452984\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-10 - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-128)\/48)\/((-2)\/3). Solve 3 = -m*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*m - 5*m - 5*v, 3*m - 4*v = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -309.91 - -308. Let b = p + 2.41. Let h = -107\/5 - -21. Sort b, h, -1\/12, 0.1 in ascending order.\nAnswer: h, -1\/12, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2765 and -11055\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -772555*l - 772556. Calculate s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/5 + 2192*a**2\/5 - 878*a + 2196\/5 = 0. What is a?\nAnswer: -1098, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48409 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22620 and 2340?\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -25, 0 = -0*c + 4*c + 5*t - 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 - 132 + 59 + 8)*(2*l + 3*l**2 - 2*l).\nAnswer: -633*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.77 - 1960457424.2.\nAnswer: -1960457426.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 1 + 4.\nAnswer: 5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -h - 108. What is the lowest common multiple of 6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3748122t?\nAnswer: 374.8122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 + 46*t - 16. What is x(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5657?\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3355918 + 18805913. Suppose -p + 4*m - b = 3*m, 3*p - 2*m = -46349990. Round p to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 22. Which is the nearest to -0.1? (a) -3 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/3))**(15\/4)*(r\/(r**32\/r))\/r*r*r\/((r*r\/(r\/r**5))\/r) assuming r is positive.\nAnswer: r**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 - 3*f + 19. Calculate l(-7).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -19*w**2 + 21 + 0*w**3 + 0*w**4 + 0*w**5 + 0*w - 13\/6*w**6. What is the second derivative of g(n) wrt n?\nAnswer: -260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/516 and -79\/3895671.\nAnswer: 15582684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81, -552, -1395, -2610?\n\"Answer: -186*z**2 + 87*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b + 272. What is the third derivative of b*n**2 - 4*n**3 - 17*n**4 + n**3 - 32*n**4 + n**3 - 53*n**2 wrt n?\nAnswer: -1176*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*c - 2*u + 24, 78 = 4*c + 2*u. Let w = -14 + c. Put 0, 6, w in increasing order.\nAnswer: 0, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 3*z**2 + 7*z + 5. Let d = -6 - -6. Suppose d*n + 4*w + 25 = 3*n, 2*w - 19 = -3*n. Calculate the least common multiple of n and i(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7491, -14974, -22457?\n\"Answer: -7483*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1406977471.51076 + -1406954710. Let m = z + -22762. Let k = m + 0.49. Round k to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196088337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792564.\nAnswer: 2, 3, 66047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**3 + 0*x**3 + 5*x**3)*(-1 + 2 + 1)*(5 - 4 + 3)*(1 + 0 + 2) to the form u*x + s*x**2 + i*x**3 + q and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50326*p**2 - 30354?\nAnswer: 100652*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 108, 145, 182?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:24 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -21. Let o = q - -16. Sort 5, o, -0.4 in descending order.\nAnswer: o, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*4\/12 - 0. Suppose j = -g - 5*h + 31, -5*g - 2*h + 89 = h. Let r(d) = 3*d**2 - d - 2. Let i be r(-6). What is the highest common divisor of i and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610240?\nAnswer: 2, 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 116.186 (b) -30 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**4 + 12*o**3 - 12*o**2 - 4*o. Let w(a) = -5*a**4 + 12*a**3 - 11*a**2 - 2*a. Let x(q) = 2*m(q) - 3*w(q). Factor x(f).\nAnswer: f*(f - 1)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21006 (base 10) to base 9\nAnswer: -31730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 1, x: 1, t: 2, b: 2, m: 1, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18907263, -18907267, -18907273, -18907281, -18907291, -18907303?\n\"Answer: -p**2 - p - 18907261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f + 56. Let r be g(-3). Solve 2*b + r = 4*k, -5*b + 24 = k - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49112841 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 + 10*o - 5. Calculate v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82071055 is divided by 467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 5. Let w = i + 9.00000152. What is w rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 9 = -6*z. Let q be 12\/z + (-54)\/(-10). Factor -5*a**5 + 0*a**q + 4*a**2 + 4*a - 11*a**3 + 5*a**5 - 6*a**4 + 9*a**5.\nAnswer: a*(a - 1)**2*(3*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 517 - -962ca?\nAnswer: 96814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -843*h - 232*h + 58*h - 15255 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*d - 54 = 165*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, r: 3}. What is prob of sequence rrs?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4691859+0.45\nAnswer: -4691858.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let v = t - 0.1. Let g = 0 + v. What is the third biggest value in 1\/3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 31*q**2 + 5*q**2 + 28*q**2 - 15*q**2 + 6*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let p = g + 2. Let l = p - -3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149\/204 - -1\/51. Which is the closest to d? (a) 0.2 (b) -1\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 76942268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*h = 4*h + 2, 2*h + 10 = -5*m. Let i be m\/5 - 22\/(-5). What is the highest common divisor of 10 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45.2931 from 49.\nAnswer: 3.7069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -10230?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imf when three letters picked without replacement from iimimfff?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245 - -448. What is the greatest common factor of f and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away -49.74?\nAnswer: 49.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4)*2)\/((-22)\/14168*-138)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35806890, 71613767, 107420644, 143227521, 179034398?\n\"Answer: 35806877*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7\/140*85\/187.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -4*z. Suppose -6*g = -z*g. Suppose 32*f - 30*f - 11942 = g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2)\/4*(-8)\/(-6))\/((-53620)\/176946)?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 59, -2\/7, -0.4, -192\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 9095*k**2\/2 + 24699643*k\/2 + 21027682101\/2.\nAnswer: (k + 2053)**2*(k + 4989)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 911 - 1291. Let j = 393 + h. What is the remainder when 58 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 5.1, -5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*b*u**5 + 7*b*u**3 - b*u**2 - 62 wrt u.\nAnswer: 3180*b*u**2 + 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12935, 12799, 12663, 12527, 12391, 12255?\nAnswer: 12119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/5 + (-10)\/(-50). Put -3, 2\/7, -0.3, o in descending order.\nAnswer: 2\/7, -0.3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - p + 4. Let g(d) = 3*d**2 - d + 7. Let w(y) = -3*g(y) + 5*h(y). Is 2 a factor of w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829 + 592 = -96*g + 77 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 1. Let k(b) = -3*b + 1. Calculate -2*k(h) + w(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 4*d - 6. Let g = 16 + -13. Let o = -2 - g. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (828\/161*(280\/(-6))\/10)\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, 0, -10 in increasing order.\nAnswer: -10, 0, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**6 + 498330*l**5 + 662*l**2 + 1419 wrt l.\nAnswer: 120*l**3 + 29899800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 12 = 4*h - 3*a, 0 = 3*h - 2*a - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from pphhhhhhph.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - ((-6 - -4) + 27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2 - 1\/3*t**3 + 2*t**2 + t. Let s be o(2). Solve s*r + 1 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398604 divided by -4.\nAnswer: 349651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -0*w. Suppose 0 = s - 9 + w. Does 32 divide s*7 - (-1 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 28, -5, -3 in increasing order.\nAnswer: -5, -3, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141189*f - 141387*f + 8979 = -282795*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(325) + (sqrt(65)\/(sqrt(5) + sqrt(10)\/sqrt(2)) - sqrt(13) - sqrt(13)))**2 - 1*(sqrt(13) - (sqrt(156)*-2)\/sqrt(12)).\nAnswer: -31*sqrt(13) + 701\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47.45? (a) 0 (b) 2\/5 (c) -4 (d) 5068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3369 or -3372?\nAnswer: -3369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 28 = -3*b, -3*b - 3*g - 24 = -3. Sort 1\/4, -0.2, 0, b.\nAnswer: b, -0.2, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-22)*(2 - (-24)\/(-14)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(3 - 2)*1. Let w(c) = 36*c + 4. Let u(i) = -35*i - 3. Let q(g) = m*w(g) + 4*u(g). Let l be q(-2). What is the greatest common factor of l and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 10 = -v + 3*a, v + 4*a - 12 = 0. Let p(y) = -y**3 + 3*y + 1. Let w be p(-2). What is b in v*b**2 - w - 16*b + 4 - 5 = 0?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61053 (base 7) in base 8?\nAnswer: 34703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3 - 4*b - 5 - 2 + 4 - 4. Let c = -3 + 1. Let p(i) = 7*i + 7. Let k(r) = -6*r - 6. Let v(o) = -5*k(o) - 4*p(o). Calculate c*d(y) - 5*v(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 22.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*a**3 + 132*a**3 - 3 - 69*a**3 - a - a**2 - 3*a**4 in the form y*a**3 + z*a**2 + h*a**4 + d*a + f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 874 + 56?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkrrrkqk. Give prob of sequence qrkr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2787978602 plus -1?\nAnswer: -2787978603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5667.642 kilograms to grams.\nAnswer: 5667642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 2, -1003, 5, 3, -2 in descending order.\nAnswer: 10, 5, 3, 2, -1, -2, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*v**2 + 351 - 351 to the form j*v**2 + a + b*v and give j.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 109, 267, 499, 811, 1209?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xccxcxxwccwcxccwcxx?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -182611?\nAnswer: 182604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -162, -174, -186, -198?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/120 - f**5\/60 + f**4\/24 - f**3\/6 - 4*f**2. Let k be s(2). Solve 0 = 4*g + v + 4, 2*g - 2*v = k*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 3*g - 8. Let r be y(5). Suppose t = q + 6, -t + 3 = 4*q + r. What is the second derivative of t + 23*s**2 - 9 + 5 - 7*s wrt s?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13237.9m?\nAnswer: 13.2379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992107, 992110, 992115, 992122?\nAnswer: 992131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*j**3 - 523*j**2 wrt j?\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + d**2 - 4 + 1 + (-d - 2*d + 2*d)*(2*d + 0*d - 4*d).\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34925\/(-1000) + 35)\/(-3*4\/(-10)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020002202 + 102100?\nAnswer: -10012200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -7, -0.8, 4.9, 4 in increasing order.\nAnswer: -7, -0.8, 4, 4.9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2011258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 - 2*f - 14. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from mywgyykyyey.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 3983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 (base 10) in base 6?\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20150, 40302, 60454, 80606, 100758?\nAnswer: 120910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3621 > -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5205 is divided by 134.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3131 - -3142. Let i(a) be the third derivative of -a**6\/120 + a**5\/6 + 11*a**4\/24 + 4*a**3\/3 + a**2. Give i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9\/7, -3\/5, -3\/2, -1 in decreasing order.\nAnswer: -3\/5, -1, -9\/7, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 596, 893, 1190, 1487, 1784?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:53 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517\/41090 - -1\/587. Let o(n) be the second derivative of 0 - 2\/21*n**3 + y*n**5 - 2*n + 0*n**2 - 1\/42*n**4. What is l in o(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 7*x**2 - 12*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 14*l - 2*l)*(-17*l - 8*l + 27*l + 91*l**3) to a*l**3 + i*l**2 + t*l**4 + j*l + c and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 398*p - 3811. Determine h(-10).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 4, 7, 308.\nAnswer: -7, 0, 4, 7, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -25. Let x be 35*(-1 + 22 + f). Find the common denominator of (-1)\/(-3) - x\/(-96) and -121\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.034 and 0.640184.\nAnswer: -0.021766256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -2*z**3\/3 + 7*z**2 + 12*z + 45. Let o be j(8). Put 3, -2, -5, o in decreasing order.\nAnswer: 3, -2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 1. Let p be 3*(-2 - 11\/(-3)). Let v(y) be the first derivative of 3\/2*y**2 + 31 + 6*y. Calculate p*r(x) + v(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 273, -709, -1689, -2667?\n\"Answer: y**2 - 985*y + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618012587 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*i - 342. Calculate the highest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101100001 + -101001010?\nAnswer: -1001101010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 8*y + 16*y**2 - 61*y**2 + 39*y**2)*(3*y + y - 7*y) in the form d*y**2 + f*y**3 + m + o*y and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + -1 - sqrt(153)) + -5 + sqrt(153) + 1*sqrt(153)*-4 + 4*((sqrt(153) - (-4 + sqrt(153) + 0)) + sqrt(153))*-1)*-3)**2.\nAnswer: 7128*sqrt(17) + 53928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = t - 3*d, 5*t = 4*d - 32. Let s = 13 + t. Suppose 0 = s*k - 445. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5*k**4\/16 + 10*k**3\/3 - 85*k**2\/8 + 25*k\/2 - 23. What is n in j(n) = 0?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 35*h**2 + 17*h + 1. Let z be ((-272)\/(-24))\/(2\/3). Let b be v(z). Solve -3 = -2*y + b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -51*d**3 + 5*d + 29. Let h(n) = 26*n**3 - 2*n - 15. Let t(l) = 5*h(l) + 2*y(l). What is the first derivative of t(w) wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a154 (base 11) to base 8.\nAnswer: 32262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adydydaaydd. What is prob of picking 3 y and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + y**2 + 0*y**2 - 2*y + 2454 - 58 + 0*y.\nAnswer: y**2 - y + 2396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 5*a**2 + 31*a**2)*(a**2 + 3*a**2 - 3*a**2).\nAnswer: 26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5050 (base 15) to base 6.\nAnswer: 210250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1989 - -11.1989. What is the nearest to -3\/5 in -0.3, t, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-72)*4\/(-14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18714)\/(-27))\/((-70)\/(-315))?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 99 = 13*x. Solve x*h = 12*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31018?\nAnswer: 2, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2081119160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 270491*j - 64221?\nAnswer: 270491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*l - 28, 29*l - 68 = -2*k + 30*l. Calculate the greatest common factor of 26658 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43176 is divided by 6128?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2 + 2 + -1. Suppose y = -5*m - 0. Let g = 14 - m. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -782 divided by -17\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l**2. Let p(c) = -74*c**4 - 4*c**3 - 4*c**2 + 10*c. Let g(d) = p(d) + 4*y(d). Find the second derivative of g(f) wrt f.\nAnswer: -888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2481 + 2491 = -2*w. Sort -3, 0, 1, w in increasing order.\nAnswer: w, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -527877, -527246, -526615, -525984?\n\"Answer: 631*y - 528508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 4. Suppose 0 = 5*j + 38 - 13. Let s be a(j). Solve s + 3 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 12*x**3 + 14 + 6 - x**2 + 4*x**3 - 8*x**3 + 3*x**4 as h*x**4 + m + w*x**2 + a*x**3 + u*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:59 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -79 (c) -52 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 + p - p)*(-2*p + 0*p - p)*(0*p + 2*p - p) as k + j*p + y*p**3 + x*p**2 + m*p**4 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - m - 5 = 0, 4*y + 3*m - 2 = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 23*h**3 - 5 + 2*h**4 + 5 - 4*h**4 in the form x + m*h**2 + n*h**3 + w*h**4 + c*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 101829170?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -0.41. Let k = -5 + -2. Let h = 11 + k. Put q, h, 3 in ascending order.\nAnswer: q, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1094 + -440. Let i(q) = -654 + 2*q + u. Let d(n) be the first derivative of -9*n**2\/2 - 1. Determine i(d(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364378794?\nAnswer: 2, 3, 13, 29, 161087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1264372 and -23\/20.\nAnswer: 6321860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*w - 18, -2*w + 439 = -4*u + 427 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 93 - 103 = 0. Let f = 100 - k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 36. Let u = 3 + z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - 1) + 130 + 13.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, i: 7, r: 7, x: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-10)*p)**(-1\/2)*(p*p\/(p*p*(p*p**(-16\/3))\/p))\/p*p*p\/(p**(2\/13)*p))**(-21\/8) assuming p is positive.\nAnswer: p**(-5285\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15413497?\nAnswer: 11, 37, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1342230 and 950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14*x - 170. Let l be u(-11). Let s(m) = m**2 - 8*m - 4. Let h be s(6). Let d = h - l. Solve d*q = -q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1288?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 333, 331, 329, 327?\n\"Answer: -2*w + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-4))\/((-10)\/((-1440)\/(-54))). Suppose 115 + 13 = g - r, -3*g + r = -380. Suppose -g = -w*u + 3*u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149555.149 rounded to the nearest one hundred?\nAnswer: 1149600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/39, 668, 3.\nAnswer: 1\/39, 1\/4, 3, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 100514 and -0.02.\nAnswer: -2010.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 + 12. Solve -2*a - i = 4*x, -2*x + 2*a = -0 - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -60.86?\nAnswer: -426.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -34*m + 577. Calculate k(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23230240 + 14?\nAnswer: -23230221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4702442 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233868 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 416 + -401. Let v(s) = -s + 34. What is the remainder when v(12) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60712.74l in millilitres?\nAnswer: 60712740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -8. Calculate the remainder when 191 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -115.42, -2.4.\nAnswer: -115.42, -3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 132636 in descending order.\nAnswer: 132636, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 o, and 1 b when four letters picked without replacement from {u: 5, o: 6, b: 2}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 440 - 438.6. What is the fourth biggest value in -4, -6, y, -2, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -59*y + 45 + 196 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3393822571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66384*v**3 + 33186*v**3 + 33136*v**3.\nAnswer: -62*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:06 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 211?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13777 - 13780. Let r = 29 - 20. Let n = r + -14. Sort 4\/5, n, i in ascending order.\nAnswer: n, i, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70054, -72254, -75920, -81052?\nAnswer: -87650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + g**2)*(-65185498*g + 65185498*g - 23210*g**2).\nAnswer: -23210*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -118? (a) -3 (b) 12323 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 656437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(-270)\/(-4) + -2. Suppose h + 2*h - v = 2*f, 3*f - 3 = 0. Suppose 14*a + h = 19*a. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45492034578.389989 + -45492674358. Let x = f - -639779. Let b = x + 0.61. What is b rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1098.935 and 285 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13 = 4*w, -37*w + 18 = -33*w + 2*x. Factor -22\/17*b**3 + 0 + 0*b - 6\/17*b**2 + 8\/17*b**w.\nAnswer: 2*b**2*(b - 3)*(4*b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 2104 = 15*r. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-86)*(0 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 591*u + 3. Let a be t(-3). Find the common denominator of 37\/4 and (-1)\/(-4) - a\/200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 25, 2*u - 54*r = -52*r + 16. Suppose -3*z = 3*d - 1914, -2*d + u*d = z - 644. What are the prime factors of z?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -262 - -274. Let v(j) = 5*j**3 + j + 7*j**3 - 2*j**2 + 12*j**3. Calculate the remainder when v(1) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35259 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13495373785 rounded to the nearest 100000?\nAnswer: -13495400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4\/10 - 74*b**3\/15 + 406*b**2\/5 - 736*b\/5 + 4880. Solve h(i) = 0.\nAnswer: -46, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828407327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.5618438 months?\nAnswer: 0.013015365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 16*x + 218 = 0. List the prime factors of x.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (134 - 134 - 18*k)*(19*k - 19*k - 2*k**3) in the form g*k**2 + y + r*k**4 + l*k + v*k**3 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/316745 and -37\/20.\nAnswer: 1266980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 161*x**2 + 156 + 138*x**2 - 82.\nAnswer: -23*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 - 3265*l**4 + 518055*l**3 + 4903465*l**2 + 4581040*l - 32868300 = 0. What is l?\nAnswer: -6, -5, 2, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(78\/(-27) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0174 + -1.0174. What is the nearest to 2\/5 in y, 2\/5, 2\/157, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let n(t) = t**3 + t**2 - t + 2. Let w be n(o). Suppose w = -q + 6*q - 30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*r + 2733 - 2776, -4*n + 2*r - 38 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 15*u**2 - 15*u + 19. Let z be g(14). Suppose z*n + 47 = -8. Let j = n - -16. Solve -3*o + 4*f - 20 = 0, -13 - 12 = o - j*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 7. Let i = 8 - 18. Let c be m(i). Let a be c - (-1 - 3)\/2. Solve -7*s + 2*s = a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 less than or equal to 429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -2 (c) 1\/7 (d) 0.3 (e) -4 (f) -2317\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 194a (base 15) to base 3\nAnswer: 21111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1433580174, -1433580172, -1433580170?\n\"Answer: 2*c - 1433580176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.32 + 0.92. What is the closest to -5 in -3\/4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2644*f = 2640*f + 28 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:12 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j - 350 = 32*j. Suppose 756 = -61*m + j*m. Calculate the remainder when m is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118764851 plus -5?\nAnswer: 118764846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88733 is divided by 1123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*278366\nAnswer: -556732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244486 is divided by 8187?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -722, -855, -158, 1879?\nAnswer: 5766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120211021112 (base 3) in base 13?\nAnswer: -aba16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1\/12*p**3 - 1\/4*p**2 + 10*p + 1\/24*p**4 - 1\/40*p**5 + 0. Factor g(o).\nAnswer: -(o - 1)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryy when three letters picked without replacement from {r: 1, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.049 from 544338.\nAnswer: 544337.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.3 - -12. Let f = -19984 - -139886\/7. What is the biggest value in 1, o, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1200)\/131200)\/(15\/(-80))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*m - 365. Let h = -335\/2 - m. Find the common denominator of h and 10\/3*2\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 8*g**2 + 6*g - 6. Let p be l(-7). Suppose -73 = -30*u - 115*u + 797. Solve 7*n = u*n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/969526 and -87\/434?\nAnswer: 210387142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344, -307, -260, -203, -136, -59, 28?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -11*q**2\/2 + 247*q - 311. Let s be t(22). Let x(y) = y**2 - 5*y - 1. Calculate x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 6*a**2 - a - 3. Suppose 0 = -3*w + 1 + 5, 0 = z + 2*w - 9. Let s be j(z). Let q = -34 + 102. Calculate the highest common factor of s and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1353800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k + 189 = -89 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*k = -178*k + 1934820. Is k a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*f**2 + 184386 - 485*f**2 - 184386.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 288544404 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19107 + -32107. What is m rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -251*u + 3. Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 906878514 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -80, -2, -1, -0.2 in increasing order.\nAnswer: -80, -2, -1, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + c**2 - c**2 - 2*c**3 to b + u*c + p*c**2 + h*c**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 1, t: 4, k: 1, h: 2, g: 1}. Give prob of picking 1 h, 1 t, and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.71292 less than 259?\nAnswer: 55.28708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2738*x + 76700 + 7615 = -329*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.02 + 8.02. Which is the second biggest value? (a) -1 (b) -6\/5 (c) p (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.5 (c) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 14. Suppose v*q + 4 = 44. What is the least common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 4, s - l - 6 = -0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n + 4. Let b be f(2). Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 64 = 8. Let u = n + 28. Which is the second biggest value? (a) -5 (b) -3\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -105, -233, -429, -711, -1097?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j - 5. Let s(p) = 7*p + 5. Calculate -5*s(z) - 4*u(z).\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 9 = 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86063963 and -0.3.\nAnswer: 86063962.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -9)*26\/(-65). Suppose -i + 5 = -f. What is the remainder when 12 is divided by ((-2 - f) + -4)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 289918 = -5*w, -52*w - 4*t = -50*w - 115962. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 - (75 - 28 - 116)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 10*q**2 - 13*q + 11. Let a be g(8). What is the highest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w + 55. Let y(x) = -1. Suppose 270 = 3*l - 2*l - 5*f, 5*l = f + 1398. Let b = -278 + l. Give b*c(i) + 110*y(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 4. Calculate i(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b + b)*(0 + 2 + 0)*(-2*b - 2 - 2*b + 3*b) + (35*b + 26 - 26)*(5*b + 4*b - 3*b).\nAnswer: 212*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let i = 26705\/6768 - 1\/752. Find the common denominator of i and (-498)\/8*q\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -821, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112111120 + -112001?\nAnswer: 10111222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -229721, -227754, -224475, -219884, -213981?\n\"Answer: 656*j**2 - j - 230376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 77?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -122154.\nAnswer: -5\/122154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -1)\/(9\/102). Suppose 0*r = -3*w + 5*r + s, 4*r + 157 = 5*w. What is the remainder when 86 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 6*f - 6. Let u be t(-5). Let v be u\/8 + 7\/28. Suppose 0*q + 62 = v*y + q, y - 4*q - 31 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -278*c - 33347. Give y(-120).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141200 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33526 is divided by 16751.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*g - 4, 3*h - 4*g + 12 = h. Let -2*b + 2\/3*b**h + 0 = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m + 2. Let f be w(-6). Let n = 49 - f. Suppose 9*t - 12 = 6*t. Solve -i = -0*i - t*s - 13, -4*s + n = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.48435ug to milligrams.\nAnswer: 0.04648435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6496795 and -0.016?\nAnswer: 0.6656795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/11 - 690*k**3\/11 - 74048*k**2\/11 - 1845480*k\/11 + 66788800\/11 = 0 for k.\nAnswer: -130, -104, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40687*l - 47016*l - 189870 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/5)\/(2\/(-4)). Suppose 210000 = -g*p + p. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2771114, 5542224, 8313334, 11084444, 13855554?\nAnswer: 16626664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547201239 to the power of 1\/4, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110219743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 2*j + 41. Calculate h(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10716*o - 7128*o**3 + 7124*o**3 + 44180 + 43*o**2 + 30*o**2 - 10*o**2 + 333*o**2.\nAnswer: -4*(o - 47)**2*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 147.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 946. Let p(o) = o + 58. What is -6*p(g) - 2*r(g)?\nAnswer: 2*g - 2240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22097 is divided by 3230?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 676*h**4 + 12480*h**3 - 11204352*h**2 - 103956480*h + 46905163776.\nAnswer: 4*(h + 96)**2*(13*h - 1128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 75, -2, 5 in increasing order.\nAnswer: -2, -1, 5, 11, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 37600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + -1*sqrt(2) + sqrt(2)) + 2)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 375257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32835654 by 6.\nAnswer: -5472609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-264)\/(-27) + 6\/27. Suppose k*a - 5*a = 210. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 51*s**2 - 84*s - 3. Let c(r) = -14*r**2 + 24*r + 1. What is -18*c(b) - 5*v(b)?\nAnswer: -3*b**2 - 12*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 317884?\nAnswer: -5\/317884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/50434 and 67\/75651?\nAnswer: 151302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-4\/27)*((t**(-3)*t)\/t)**(-27) assuming t is positive.\nAnswer: t**(2191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*s + 227*s**2 + 27*s + 33*s + 2815 + 1267*s**2 + 35*s wrt s.\nAnswer: 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1358\/(-126) + 11 - 4\/24. Which is the fourth smallest value? (a) 5 (b) j (c) 14 (d) -3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372 + 150. Let w = 250.6 + p. Let m = 43 - w. Round m to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 1187, 1805, 2425, 3047, 3671?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + (-868)\/(-21) + 1. Calculate the remainder when 103 is divided by 53\/1 - 252\/i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.97666 from 4068391.\nAnswer: 4068391.97666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(95)*4)\/(sqrt(50)\/(sqrt(10) + (sqrt(1000) - sqrt(10)))))**2 + 4 + 3)*-2.\nAnswer: -243214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5. Let r(v) = v. Calculate 3*r(n) - z(n).\nAnswer: 3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/7)\/l**(1\/8))\/(l**27*l*l)**(-39) assuming l is positive.\nAnswer: l**(63249\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 802.\nAnswer: -19\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/4 - 8*a**3\/3 - 7*a**2\/2 + 2*a + 2. What is the remainder when 4\/14 + (-95)\/(-35) is divided by y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87)\/(-312) - (-44)\/(-286). Sort -0.1, 30, u in decreasing order.\nAnswer: 30, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**13)**(-42) assuming f is positive.\nAnswer: f**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1345*n - 84743. Give z(63).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:01 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*d*h*y**2 - 3*d*h + 56*d*y**3 + 6*d - 5912*h*y**3 + h*y + 2*y**2 + 35 wrt y.\nAnswer: 336*d - 35472*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:51 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-1)*1*(-448)\/(-320). Let n(y) = -d*y + 13*y + 0*y. Let q(i) = 42*i**2. Determine n(q(z)).\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 220*n + 3890. What is c(-20)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wowowwwww. What is prob of sequence ow?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d. Let h(c) = -23*c. Calculate j(h(b)).\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 496. Let z(d) = 587*d + 34. Let x(a) = 69*a + 4. Let b(m) = 17*x(m) - 2*z(m). Give o(b(w)).\nAnswer: w + 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1299 + 1299. What is the second biggest value in 1\/106, -3\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*j)*(-2*j**4 + j**4 + 2*j**4) + (2*j**3 - 4*j**3 + 0*j**3)*(-3*j**2 + 6*j**2 - 2*j**2).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18956 - 1015?\nAnswer: -19971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8 - 4. Let q(r) = -r - 1. Let h(o) = -7*o - 1. Let i(x) = h(x) - 5*q(x). Let u(a) = -6*a + 12. Let y(v) = 8*i(v) - 3*u(v). Determine y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 9*x**2 + 15*x - 2. Let q be v(7). Find the first derivative of -5*l**2 - 27 + 27*l**4 - 7*l**4 + q*l**2 wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(10)*-1))\/((sqrt(144)\/sqrt(3))\/sqrt(8)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171571\/3 or -57191?\nAnswer: -57191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1727 - 1725. Solve 4 = 2*j, -4*j + 16 + d = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(2\/(-6))\/(-1). Suppose 0 = r*q - 6*q. Let h(k) = -2*k + 44. Let c be h(21). Solve -c*j = -q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835310910 rounded to the nearest 100000?\nAnswer: 835300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-56))\/(1710\/(-1368)))\/((-3)\/(-19))\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 20*x - 36. What is q(23)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 7.6. Let a = m - 13. Let z = a + 2. Sort 4\/3, z, -4\/7 in ascending order.\nAnswer: z, -4\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -852*((-185)\/(-148) + (-3)\/4). Let v = -426 - d. Solve 24 = 3*p + 3*x + 6, -3*p + 2*x - 7 = v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5 + 6*g + 5. Let s(k) = 4*k - 4. Let o(z) be the second derivative of -5*z**3\/6 + 3*z**2 + 26*z + 1. Let h(t) = 2*o(t) + 3*s(t). Calculate l(h(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122474 + -27565. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Let d = -201 + 201. Suppose d = p*f + f - 455. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*i**4 + 86062*i**6 - 87655*i**6 + 4*i**2 - 5*i**2 + 126*i**4 - 831 wrt i?\nAnswer: -191160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6951*-0.2\nAnswer: -1390.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 326952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -387 - 51. Calculate the remainder when a is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.9 - 47. What is the nearest to 3 in g, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3 - (-2)\/(-8)*12. Suppose 5*k = 2*s + 3*s + 50, 2*s = w. Let u(m) = 227*m - 24. Is u(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 91, 278, 647, 1258, 2171?\nAnswer: 3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71339128.\nAnswer: 2, 7, 101, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*q**3 + 1953*q + q**4 - 346 - 1951*q + 20*q**3 to c*q + b*q**3 + z*q**2 + s + o*q**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -317, -318, -319?\n\"Answer: -z - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2309415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4\/3, -1\/132269, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4428248 plus 0.2?\nAnswer: -3.2428248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 245.874 months?\nAnswer: 20.4895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2354.2 - 2354. Let x = 8 + -9. Suppose 7*y = 4*y. Which is the closest to y? (a) x (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 6*l**2 - 6*l + 7. Let x(z) = -114*z - 1706. What is the smallest common multiple of t(-5) and x(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.6 + 77. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20065*m - 133138.\nAnswer: -20065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -60*d**2. Let h(i) = -5363*i**2 + 2*i + 5367*i**2 - 2*i. Calculate h(n(o)).\nAnswer: 14400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145935 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31025, 31024, 31023, 31022, 31021, 31020?\n\"Answer: -j + 31026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -16.2. Let m = 2.34 + 1.26. Let o = m - h. Which is the biggest value? (a) o (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 60 = -13*x. Let p be 2844\/x + (-8)\/(-10). Calculate the highest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124995945 to the power of 1\/2, to the nearest integer?\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*t = 706*t - 1214*t - 1150 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 12. Let o be t(6). Let p be 0\/(-1) + (-480)\/o. Let h = -50 + p. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 82. What is the first derivative of 122 - 27*t**3 - 63 - c wrt t?\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26292737, 52585466, 78878195, 105170924?\n\"Answer: 26292729*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 70, 133, 224, 349, 514?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65369668.\nAnswer: 2, 7, 13, 47, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(4 - 3 + 1)*(-13*t - 26*t + 10*t).\nAnswer: -58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11997837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b592 (base 12) in base 15?\nAnswer: 6e2ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 523176 divided by 6\nAnswer: 87196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - r**2 - 3*r**2)*(r + 2*r - 4*r) - 2*r - 6*r**3 + 2*r + (1 + 3 + 0)*(-2 - 2*r**3 + 2) + (4 - 1 - 4)*(3 - 3 - 3*r**3).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3597899*n + 3597898*n - w = 5*w - 47, -7 = -n - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssv when four letters picked without replacement from sssssvssvsssssv.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 0 + 2 + 1. Suppose 0 = 4*f - 199 + 55. Suppose -113*d + 117*d = f. Let g(k) = 17*k - 13. Determine d*q(r) + 2*g(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 68 - 72 = 0. Let l = -14 + p. Let t be (-6)\/4*(l - 129). Round t to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2 = 6*r. Solve -12 = -r*x + 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15 = 349. What is the remainder when r is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5048972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 13*u**2 + 12*u + 3. Let r(c) = c**3 + 12*c**2 + 11*c + 3. Let g(z) = 7*r(z) - 6*t(z). Determine g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/7 (b) -0.4 (c) 12 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0.5, -2\/67 in increasing order.\nAnswer: -40, -2\/67, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from {x: 1, y: 2, i: 2, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 527*h**3 - 577*h**3 - 9 - 12 wrt h?\nAnswer: -150*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10*(-55)\/22. Let s be (2\/(-8) - (-3)\/12)\/f. Which is bigger: 5\/16 or s?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -35. Sort 2, 7, f in increasing order.\nAnswer: f, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**3 + 3*u**3 + 3*u**3)*(0*u**2 + 2*u**2 - 4*u**2) + 8*u**3 + 10*u**5 - 8*u**3 + 31 - 31 + 358*u**5.\nAnswer: 372*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - 6\/(-6)) + 13. Which is the fourth biggest value? (a) o (b) 0.6 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006642025551 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j**3 + 14*j + 3*j**2 + 46*j**3 - 3 - 14*j**3 - 13*j**3 - 45*j**4 in the form g*j**4 + r*j**3 + y + b*j**2 + o*j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.233 times -0.15?\nAnswer: 0.33495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 74*r**2 + r + 1. Suppose 0 = t - 2*t - 1. Calculate the remainder when v(t) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.22 (c) 209 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - 1. Suppose -58 = -3*k + 2*s + d, -5*k = -3*s - 97. Find the second derivative of 17*z**2 - k*z**2 + 2*z**5 - z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 1:36 PM?\nAnswer: 449","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12333140301 + 3?\nAnswer: 12333140304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*q = -131*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000022655359 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/21 - 354\/(-7). Suppose j = 2*h + 4*n, -3*h - 4*n + 91 = -2*n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-6))\/(60\/(-9)). Let y(g) be the second derivative of -2*g + 0 - 1\/24*g**4 - u*g**5 + 1\/12*g**3 + 1\/4*g**2. Solve y(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-5 - -3))*-7. Solve -3*v - 2*o = -3*o - d, 5*v + 5*o + 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2542 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/120 + -4)\/(120\/4640)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1266100 + -21?\nAnswer: -1266121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f + 12*f + 4*f**2 - 17*f - 26*f**2 to the form v*f + k + w*f**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84008232.\nAnswer: 2, 3, 7, 11, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*f + 542*f = -a - 262, 48 = -8*a. Calculate the highest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000059843 - 33.22\nAnswer: 1000059809.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0 + 3\/5*g**5 - 3\/70*g**7 - g**4 + 133*g**2 + 0*g**3 - 5\/112*g**8 + 11\/20*g**6. Let y(n) = 0. What is n?\nAnswer: -2, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2297657 - -4.23. Round d to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998990403 to the power of 1\/2, to the nearest integer?\nAnswer: 31607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k - 2. Suppose -n - 3*b = 12, 0 = -3*n + 2*b - 2 + 10. Suppose 3*d = 4*i - 22, 3*d + n = -4*i - 14. Give w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 70 = 4*g, 4*h - 2*g + 22 = -28. Suppose 6*d - 3*d = -99. Let w = h - d. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209505 (base 14) to base 11\nAnswer: -692499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s + 47560 = 2658 - 38473. What are the prime factors of s?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 63. Let m = -43.3 - k. What is the biggest value in -2.1, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25068 divided by -772\nAnswer: 6267\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4994 and 0.118897?\nAnswer: 0.618297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (14 - 11) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111557 (base 8) to base 7.\nAnswer: -215016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4278*v + 314 - 314 + 880*v + v - 6*v + 4*v + (4*v + 14 - 14)*(-3 + 3 - 2).\nAnswer: -3407*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -24 + -1)\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245417780.\nAnswer: 2, 5, 17, 463, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*o = -98, -5*o = -0*t - 3*t + 52. Let c = 333 + t. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 4, v: 2, i: 2, h: 4}. What is prob of sequence tvq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*y + 16, 5*m - 4*m - y = 0. Suppose 0 = 2*r - m*w - 926, 2*r - 336 - 617 = -5*w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.02 + -2. Let g = 0.66 - 0.34. Let j = z - g. Which is the closest to 3? (a) 4 (b) 2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119645 divided by 28?\nAnswer: 119645\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.28700122 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*g - 293*g - 40. Let z be (-2 - 1) + g\/32*8. Solve -z*h + 16 = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8341 + -8285. Calculate the greatest common factor of p and 1736.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.88235ml?\nAnswer: 0.08488235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15734.7 millilitres in litres?\nAnswer: 15.7347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/5))**(1\/14)*(q**(1\/7))**4)**(-35) assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/7 <= -34\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2748 and 15582.\nAnswer: 7136556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0639722312 to five dps.\nAnswer: 0.06397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022786 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x + 73*x - 3 = 0. Let h(a) be the first derivative of 0*a + 0*a**4 + 2*a**2 + 0*a**x - 4 + 2\/5*a**5. What is the second derivative of h(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**5\/15 + 3*z**4\/8 - 27*z**2\/2 + 20. Let w(f) be the second derivative of v(f). Find the second derivative of w(h) wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*p**4 + 0 + (-2 + 2 - 2*p**4)*(3 + 0 - 4).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 30.\nAnswer: -17\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + c - 11, -2*t = -3*t - 3*c. Suppose t*d = -2*b - 36, -8*b - 15 = -3*b. What is the units digit of d*2\/(4\/(-16)*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from vdttyvtvfvdfvof?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295 - -981. Suppose 689*g - 14466 = s*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 ninth root of 63670003 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b**2 - b - 8. Let q be o(-3). Solve -3*z - q*w + 2 = 0, -3*w + 0*w + 7 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + 5. Let b = 10 - 5. Suppose -k*t - v + 62 = -t, 4*t = b*v + 108. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 4419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(30\/(-675)*-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10 + 20. Let s(x) = 147 - 297 + 7*x**2 + x**r + 147. Let v(t) = 4*t. What is v(s(q))?\nAnswer: 32*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/3 - 36*w**2 + 1198*w\/3 - 364 = 0.\nAnswer: 1, 14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccvctctcvccc. Give prob of picking 2 c and 1 t.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27130 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from hchchhch?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46*-9.923\nAnswer: 456.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60548, -60312, -59668, -58412, -56340?\nAnswer: -53248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(432)*-1)**2*-6 + sqrt(432))*4*5*-1.\nAnswer: -311040 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.3, -0.9, 6.3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13665 (base 9) in base 7?\nAnswer: 36044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -4)*(-1)\/5. What is the closest to 3 in g, 3\/5, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmq when three letters picked without replacement from mmqqqqm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*y**3 - 14*y**3 + 249 - 247 - 16*y**3 + 19*y**2 in the form c + v*y**3 + m*y + h*y**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - z**5 - 4 + (-z**3 + 4*z**3 - 6*z**3)*(5*z + 3*z - 5*z)*(-2*z + 3*z + z).\nAnswer: -19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-1\/30)*(s\/(s*s**(2\/7)*s*s))\/s**2)**17 assuming s is positive.\nAnswer: s**(-7531\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -211*i - 218*i - 10 - 183*i + 10. Let f(k) = -k**2. Give f(q(s)).\nAnswer: -374544*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*(-4 - 530) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 7348*s + 267774. What is x(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(3\/8)*g)\/g)\/((g*g**3\/g)\/g))**(-49))**(-29\/5) assuming g is positive.\nAnswer: g**(4263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 18, r: 1}. What is prob of picking 1 r and 2 m?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/7)\/b)\/b**0)**(-1\/10)*(b**(-2\/7))**(-9\/7)*(b\/b**(-1))\/((b**(1\/6)\/b)\/b) assuming b is positive.\nAnswer: b**(6301\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g**2 + 113*g + 222. Give t(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -3 (c) -0.146 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-252))\/(3\/2)*2.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552240 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 11*n**2 + 11*n - 24. Let f(u) = -u**3 + 6*u**2 - 5*u + 12. Let m(b) = -9*f(b) - 4*p(b). Calculate m(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.5 and -5955922577?\nAnswer: 5955922581.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88073321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 563. Let u(k) = -4*k + 844. Determine -8*p(d) - 5*u(d).\nAnswer: 4*d + 284","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101001212 + 1020?\nAnswer: -101000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 882348 - 46364. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2. Let x(r) = -r**3 - 5*r**2. Suppose 0 = i - 2*c - 0 + 6, -3*i - 5*c = -15. Suppose -u - 7 + 0 = i. Give u*x(g) + 5*l(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1048875 and 374798.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let d = 2.1 + r. Let x = 4.1 - 2.1. Is x <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26411.1? (a) 0.1 (b) 11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5))\/m)**(-12)*(m\/((m\/(m**(2\/5)*m)*m*m)\/m))\/(m\/(m\/((m\/(m*m**(1\/3)))\/m))) assuming m is positive.\nAnswer: m**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 3*s - 0*s - 5*i, -130 = 5*s - 5*i. Let o = 22 + s. What is the units digit of 2 + 4\/o*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-37 - (2 + -24)) + -24)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 + 3*c - 5. Let g be t(2). Which is greater: g or -24\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1\/6, -4, 2\/993, 2 in decreasing order.\nAnswer: 38, 2, 2\/993, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 137*x + 376. Calculate v(-66).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2\/2 + 8*a - 19. Let g be w(13). Suppose 19*c + 62 = g*c. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d + 7. Solve 7*l - 4*l = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from mazmvmaeaavvm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1065, 1259, 1581, 2031?\n\"Answer: 64*g**2 + 2*g + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -15. Calculate the remainder when 40*(6\/4)\/3 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 63.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*a**2 - 4\/5 - 6\/5*a.\nAnswer: -2*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.4593 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 2*y)*(176 - 8 - 494).\nAnswer: -652*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6022 times -26\nAnswer: 156572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 12*y - 19. Let h be m(-2). Let w(r) = 3*r + 2. Let j(c) be the first derivative of c**2\/2 + 1. What is h*w(k) - 2*j(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x\/(x*x**2))\/x)\/x))\/x**(-1\/13))\/(x**(1\/7)*x*x*x**5\/x) assuming x is positive.\nAnswer: x**(-97\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 minus -46.5851243?\nAnswer: -466.4148757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4)\/(112168\/(-52078))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - 7) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59407?\nAnswer: 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r = 17*r. Suppose r = -2*k + 2*j - 8434, 3*j + 0*j = -4*k - 16868. Let t = 6706 + k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153) + sqrt(153) + (2 + sqrt(153))**2 + 2 + (0 + (0 + sqrt(153) - sqrt(153)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 658 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j*k**4 - 63*j*k**3 + j*k + 459*k wrt k.\nAnswer: 60*j*k**2 - 378*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgr when four letters picked without replacement from {d: 7, g: 2, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 - i - 2. Let r be h(-1). Let d(b) = b**3 + 7*b**2 - 3*b + 10. Let o = 286 - 163. Calculate the remainder when o is divided by d(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2365616 micrograms in grams?\nAnswer: 0.0000002365616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x + 1. Let d(n) = -n**3 + 2*n**2 + 4*n + 186. Let j(a) = d(a) - 4*q(a). Let y be j(0). Calculate the highest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13889519*b**4 + 2*b**2 - 48217170 wrt b?\nAnswer: 55558076*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 714932.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -154, -114, -40, 80, 258, 506, 836?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*l + 166, -3*l + 141 = k - 4*k. Let y be -719*(-2 - k\/38). Let g = y - 454. What is the closest to -0.2 in 4, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1033 - -1124) + (-54 - -1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 93.\nAnswer: 44\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c. Let h(m) = 9*m. Calculate h(o(v)).\nAnswer: 99*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670 by -2.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + (1 - 12\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (5 + -1)) + (-9 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 106 = -218. Suppose -3*s + g = -3300. Calculate the remainder when 82 is divided by s\/56 - 4\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 218, -0.098, 0.4, -0.5?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129009*p*x - 41253*p wrt x?\nAnswer: 129009*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 27*f**2 + 6*f - 31. Let i be a(-27). Let v = 198 + i. What is the highest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*t + 7*t = -12020, 4*l - 9616 = t. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**2*j))\/j**(-1\/8)*j\/(j\/(j**(-2)*j*j))*j*j*j*j*j\/(j**6\/j))\/(j**2\/(j*j**(-1\/2))*(j**(6\/5)*j)\/j*j*j**(-4)) assuming j is positive.\nAnswer: j**(-63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 193*p - 1375. Let k be b(7). Let z(h) = -h**2 - 27*h - 77. Calculate z(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9.32. Let r = -6.68 + b. Put -3, -8, -0.2, r in increasing order.\nAnswer: -8, r, -3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + -17 - (469 - 468)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 - 4*l + 1. Let z be s(-3). Is (-1)\/(z\/(-3076)*1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6603.71757 rounded to the nearest ten?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-900)\/135*(-9)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 527.3093489 to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 39*c**3 + 2*c**2 - c. Let u be v(1). What are the prime factors of 60*1\/(25\/u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35296?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - (4 - (4 + -4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 2 + 0*k + 0*k + 33*k**3.\nAnswer: 37*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-7)\/((-14)\/(-3))). Find the second derivative of 7*b**a + 5*b + 0*b**2 + 5*b - b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 644164727 * -4\nAnswer: -2576658908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 73 + (-5 - -7 - (-2 + 4)). Let w = 124 - t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -4*y**4\/3 - 10*y**2 - 26*y. Differentiate s(n) wrt n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 38*r**2 + 40*r + 86. Calculate b(-37).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:06 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 154 = 65*w. Let i(c) = -c + 8. Let p be i(6). Suppose 2 = -2*k - 3*b, 0 = k + 4*k + p*b - 6. Solve -z + 27 = w*z - 3*v, 3*z - k*v - 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/192)\/(2\/(-4)). Let x(m) be the second derivative of -m + 0*m**2 + 1\/20*m**5 + 0*m**3 + 0 + r*m**4. What is the third derivative of x(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9145 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -597*d**2 - 6082*d**3 + 161*d**2 + 3436*d**3 - 4233*d**2 wrt d.\nAnswer: -15876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 2. What is p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 485 + 613 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 4, j: 1, x: 3, b: 4}. Give prob of picking 1 j and 1 o.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323111043023 + 1?\nAnswer: 323111043024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and -23\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/83 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10931848 is divided by 5465923.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 12. What is the units digit of m(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(l - 2*l**3 - l) - 2*l**3 + 11*l**3 - 2*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(800\/56 - 14). Solve r*q + 21 = 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 205?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1170358423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 338679486729 and -0.5.\nAnswer: 338679486728.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -403, -512, -495, -310?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 21\/2*a - 46\/3*a**2 - 29\/3*a**3 + 1\/6*a**5 - 8\/3.\nAnswer: (a - 16)*(a + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-28) + 179\/7. Suppose m = -2*h + 12, 0 = 4*m + 5*h - 0*h - 45. What is the remainder when (-9 - -1)\/(-2) + t is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32 - -363?\nAnswer: 361.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - ((-2)\/1 - -15). Suppose -c + 375 = 2*h, 940 = 5*h - 3*c + 8*c. What is the remainder when h is divided by (-188)\/y*(1 - -2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -311*i**2 - 2*i. Let l(c) = -32906*c. Calculate l(k(r)).\nAnswer: 10233766*r**2 + 65812*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 + 3 + 0 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 89 + 100 - 5*w**3 - 31*w**3.\nAnswer: -36*w**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7940040 and 3176016.\nAnswer: 15880080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14730 times -0.2\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/189 and 103\/10.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -18*b**2 - 12. Let p(x) = -7*x**2 - 5. Let r(u) = 5*a(u) - 12*p(u). Let z(g) = -13*g. What is r(z(y))?\nAnswer: -1014*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 5, h: 2, d: 2}. What is prob of picking 2 d, 1 o, and 1 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 76607*s. Let h(c) = -3*c**2. Determine u(h(y)).\nAnswer: -229821*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from jjkjkjktkkkkkjktjtt.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4987e?\nAnswer: 49882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -530284\/285 - -27166\/15. Do b and -51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9118 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1025, -2050, -3075?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.615, -5, 254.\nAnswer: -5, 0.615, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*h + 33, -h + 3*m - 5 = 8*m. Suppose 77 = h*p - 113. Suppose p - 3 = 2*z + 3*o, 9 = 3*o. Which is smaller: 15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87\/418 - -1\/38. Which is the nearest to -0.4? (a) -0.5 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 355769, 1422347, 3199969, 5688629, 8888321, 12799039, 17420777, 22753529?\n\"Answer: -x**3 + 355528*x**2 + x + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*g - 126. Calculate the greatest common factor of 108 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -434, -436, -438, -440, -442?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 9*u + 9 - 7*u - 2*u**3 + (2 - 3 + 0)*(-2 - 3*u**3 + 2) to the form r*u + h*u**2 + j*u**3 + d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 + 0.52. Let d = g + -0.21. Which is the closest to 0? (a) d (b) 5 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.2553 nanometers to millimeters.\nAnswer: 0.0000142553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - -0.5. Let p = -0.32 + -0.68. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {g: 5, m: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6543758*d. Let o(s) = -s**2. Determine o(b(c)).\nAnswer: -42820768762564*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.85 * 0.04.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffzn. What is prob of picking 1 z and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.68401 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -161 - n**2 - 156 - 157 + 633 - 160. Let o(s) = 3*s**2 + 2*s + 2. Give o(k) - w(k).\nAnswer: 4*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*c = -79*c - 8712. What is the remainder when 9632 is divided by c?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 12194994.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1053*j**5 - 59*j**4 + 2*j**3 + 4483493*j**2?\nAnswer: -63180*j**2 - 1416*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (25 - -47) + -35\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = 27*g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 + 87*x**2 - 13*x - 44. Let h(q) = 3*q**3 + 51*q**2 - 8*q - 26. Let n(r) = -7*b(r) + 12*h(r). Determine n(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*((-2 + k**4 + 2)*(k - k + 2*k) - 3*k**5 + 0*k**5 + 2*k**5).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f - 39*f = -972 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by 16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*q - 16 - 11 + 30 - 25*q + 17*q - 5*q + (-3 - 1 + 5)*(0 + 2*q + 0).\nAnswer: 33*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (38\/(-8) - -5)*-20 + 9. Let v(b) be the third derivative of b**4\/24 + b**3\/2 - b**2. Calculate the lowest common multiple of 6 and v(k).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 876032 and -2.\nAnswer: 876030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1232 - -1232. Is 0.0444 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q**2 + 3*q**2 - 10*q**2 + 1 - 20*q + 9*q**2. Let t be l(10). Let n be ((t\/5)\/(-1))\/(128\/960). What is the third smallest value in -1, n, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-14) + (-14)\/294*6. Let j(b) = -b**3 - 6*b**2 - 6*b - 3. Let m be j(-5). Solve -16 - m = -3*s - 5*f, -s - t = -f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 + (-1560)\/91 + (-2)\/(-14). Solve v = -2*z, 4*z + 2 = -2*b + 5*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 269\/10 (b) 0.3 (c) 3 (d) -2\/7 (e) -2\/11 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10323756*d**2. Let l(c) = -c. What is j(l(p))?\nAnswer: -10323756*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23159\/5 - -4632. Let s(d) be the second derivative of -2\/5*d**6 + 8\/21*d**7 - c*d**5 + 0 + 2*d + 0*d**3 + 0*d**4 + 0*d**2. Factor s(a).\nAnswer: 4*a**3*(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from wwyhhkwwwwwkhwwhw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.196 and -0.47.\nAnswer: -25.94212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.5 (c) -0.1 (d) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 10*o + 9. Calculate x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2928 and 1182912.\nAnswer: 1182912","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1384*f**2 + 1384*f**2 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -7. Let g = x + -17\/2. Factor l**3 + g*l**2 + 1\/4 + l + 1\/4*l**4.\nAnswer: (l + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363264 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115914, 231870, 347824, 463782, 579750, 695734?\n\"Answer: p**3 - 7*p**2 + 115970*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/357 and -35\/34.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495278?\nAnswer: 2, 7, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2424521, 2424523, 2424525, 2424527, 2424529?\n\"Answer: 2*l + 2424519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 3. Suppose 621 = -h + 618. Let g(u) = -5*u - 4. Give h*g(n) + 4*z(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-196)\/12*-3*(-2)\/(-2). Solve 0 = -w - 4*o - 8, 48*o = 3*w + g*o + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)**(-2\/105)*i**6*i*i\/(i*i\/(i**3*i)))**47 assuming i is positive.\nAnswer: i**470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104716, -419280, -943562, -1677568, -2621304?\nAnswer: -3774776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*c - 5*c, -4*c + 10 = 3*t. Is 4 a factor of (t\/(2\/(-7)))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1221?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386346965 or 1?\nAnswer: -386346965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 6\/11 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 17*i**2\/3 - i - 2\/3 = 0. What is i?\nAnswer: -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1. Let c(n) = 374*n**2 - n + 29. Let m(j) = c(j) + 4*i(j). What is the second derivative of m(k) wrt k?\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2\/23 (c) 4 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16806.56 millilitres to litres.\nAnswer: 16.80656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:16 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0\/4)\/(-1). Is (i + -4 + 38)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from mmmffoidfmmiwmdmi?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:25 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:29 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219704 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2 (base 12) in base 10?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (54 + -57)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9\/5 (b) 6 (c) -3 (d) -27\/11 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhnhensnnx. Give prob of sequence hs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + -1 + sqrt(891) - sqrt(891)) + -5)**2*-1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -20*q**2 - q + 1. Let d be k(-2). Let w = -28 + 25. Let y = w - d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.45 (b) 0.4 (c) 0.1 (d) 83 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 80*k - 140. Let p be w(2). Let f(v) be the third derivative of 31*v**4\/6 + 17*v**3\/6 + v**2. Is f(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let z = -0.8 - -1. Let m = z + 3.8. What is the third smallest value in 0, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 34*s = 23*s - 308 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*o + (-2 + 4 + 2)*(0*o + 4*o - 2*o) + 2*o - 4*o + 3*o + 0*o - 4*o + 3*o)*(0 - o + 0).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7130 and 7774552?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40184 and 48.\nAnswer: 241104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23571835?\nAnswer: 5, 7, 127, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(428\/(-72) + 6). Let o(c) = 4*c - 3. Let m be o(2). Suppose -l + f = -m. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 18*x**2 + 56147181 - 6*x**2 - 56147181.\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -43 and -131\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 2488 = 2963 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = -4*r - 8, 0 = 5*w - 3*r - 22. Suppose -x + 0 = -w. What is the third derivative of -4*s**2 - x*s**5 - 7*s**5 + s**2 - 4*s**5 wrt s?\nAnswer: -780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -3\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let a(b) = -6*b - 5. Give a(u) + 4*m(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 f when four letters picked without replacement from mfffififthtzzizfft?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 716314 - 1066238. Let d = k - -595662. Let h = d - 428738. What is h rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**2 - 5 + 7*w**2 - 2 - 44*w**2 + 9*w**2 - 7.\nAnswer: w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8429 + -8371.936. Let x = 57 - d. Let v = x - -0.114. Which is the biggest value? (a) 0.2 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -65 + 28 + 38 - l. Suppose 436 = 7*j + 338. What is the remainder when j is divided by f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -42 + 62*y - 25*y - 6*y + y**2. Let v(o) = o**2 + 46*o - 63. Let n(i) = -8*a(i) + 5*v(i). Factor n(j).\nAnswer: -3*(j - 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8732577 is divided by 207918.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 9*b**2\/4 - 177*b\/2 - 60 = 0.\nAnswer: -2\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -209768 divided by -52442?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35614239900 to the nearest 1000000.\nAnswer: -35614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 9*a + 1. Let g(s) = 9*s**2 - 21*s. What is -4*g(w) - 10*z(w)?\nAnswer: 4*w**2 - 6*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 1959*i**2 + 24184*i + 8586. Calculate f(-967).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84677\/4 + -21169. What is the fourth smallest value in 0, -249, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 4. Let c(u) = -11*u - 17. Let s(a) = 3*a - 29. Let z be s(9). Let b(l) = -l. Let t(r) = z*b(r) - c(r). Determine -9*d(o) - 2*t(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 13*a - 10. Let x be b(-12). Solve -4 = -x*l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 172326*d + 3273833.\nAnswer: (d + 19)*(d + 172307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 10. List the prime factors of t(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*y - 10, -2*z + 2*y - 4 = z. Suppose t - 3*t + 12 = z. What is the third derivative of -2*v**6 - 3*v**2 + 2*v**t + 3*v**6 wrt v?\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/11792388 and 37\/18?\nAnswer: 35377164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.065 - -5.375. Let v = b + -4.5. What is v rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1269988, 5080149, 11430424, 20320819, 31751340, 45721993?\nAnswer: 62232784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5550 + 471?\nAnswer: 6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 104.\nAnswer: 5\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7363414 not equal to -7363430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4278000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 0.025.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -23287\/6, -1, -1412 in ascending order.\nAnswer: -23287\/6, -1412, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142433.\nAnswer: 142433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161 and 0.034?\nAnswer: 5.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7))**(3\/4)*(((m*m**(1\/4))\/m*m)\/m)**(-1\/62) assuming m is positive.\nAnswer: m**(923\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. Let p = x + -12. Suppose 2*w = -0*w + 4. Solve p*o - w*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5282 divided by -16\nAnswer: 2641\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 9*o + 15 + 6 = 0, 4*o = 3*j - 19*j + 133 - 25 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277478065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**0*n**(1\/9) assuming n is positive.\nAnswer: n**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(475) + (-1 + sqrt(475))*5)*-3)**2 + ((sqrt(475) + sqrt(475) + -1*sqrt(475) + 2)**2 - (-1*sqrt(475)*-3)**2).\nAnswer: -67480*sqrt(19) + 3849329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 - 1669*u**3 - 454*u**3 + 364*u**3.\nAnswer: -1787*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*z + 33 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1182, 2756, 4330, 5904, 7478?\n\"Answer: 1574*a - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 = -91*t - 4709 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 162*r + 145. Let u be w(-3). What is u rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 16 + (-3)\/(6\/8). Suppose -l*c + 4*c - 98384 = 0. Let o = -553493\/45 - c. Find the common denominator of 29\/27 and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99\/5 in 3\/4, 1, 2\/7, 0.227, 3?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -3*c, -4*c = z - 4*z + 4. Sort 16, -4, z in increasing order.\nAnswer: -4, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 5*c + (0 + c + 0)*(1 + 4 - 3) + 2*c - 33*c - 8*c)*(-3 + 3 - 2).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 6) to base 13\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -259 + 279. What is the hundreds digit of 3371\/5 + ((-84)\/v - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 14223*h**2 - 113736*h + 227440.\nAnswer: -(h - 14215)*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 190351*u**2 - 3*u + 31 - 5*u + 4*u. Let j be i(8). Let p = 5642481 + j. Round p to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 21*g = 372338 + 53204. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -p + 6, -3*x + 14 = 3*p + 2. Let r be (-1500012)\/p + 3 - -3. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n + 45*n - 74*n**3 - 55*n**3 - 12*n**3.\nAnswer: -141*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5, 4*x + 5*f = 88 - 3. What is the units digit of 9\/(-15)*-173 - (-4)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/3 + 460 + -479. Which is the smallest value? (a) 7\/8 (b) g (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + -1 + 9 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 288 = -2*r. Let m be (-6)\/32*(-32)\/r. Let s = 0.7 - -2.3. Sort 5, s, m in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 54 = 47*h - 49*h, -h - m + 0*m = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 345\/10 - 2\/(-4). Suppose k = 2*f - 25. Let y(n) = n**2 + 16*n - 346. Let o be y(13). Which is greater: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/60 - 5*n**4\/6 + 12*n**3 - 4*n**2 + 26. Let o be v(12). Are -24 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 1 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g + g**2 + (-5 - g + 5)*(-4*g - 3*g + 5*g) - 6*g**2 + 3*g**2 - 7*g**2 + 7*g**2 - 3*g**2 + 11 - 13.\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/((1271\/451)\/((-10)\/(-22))).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*u - 5, 3*k = 4*u - 22 + 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 478715 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksggskukgggggskssk. What is prob of sequence gs?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Suppose i*d - 2 = 8*d. What are the prime factors of -4 - d\/(3\/42)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 4*r + 22. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6154220 by -10.\nAnswer: 615422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/16 + 5*-1. Let k(z) = 2 - 21*z + z**2 + 25*z - 4. What is k(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 + 15*m. Determine p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - 560\/(-25). Let y = m - 3. Solve x - 1 = -4*j, -3*x + 3*j + 7 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 64*v**4 - 6*v**3 + 376*v**2 + 509*v + 192.\nAnswer: (v - 64)*(v - 3)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o + 9 = 63*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402972 divided by 4?\nAnswer: 350743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 - c. Let h be s(2). Let p be h + 2 + 5 + -4 + 0. Suppose 1 = -5*g + 6. Is p <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -87, -203, -359, -549?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6*b + 2637. Let v = 1296 - b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011010 + -10?\nAnswer: 101101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47999?\nAnswer: 7, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*t = -4, -5*y + 5*t = -2 - 3. Suppose 5*x - 2*q + 7*q - 190 = y, 3*x - 5*q - 146 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5000.4 (b) 0 (c) -32 (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -1 - 608\/(-38). Suppose 14 - 2 = 3*z. Let w(a) = 4*a - 5. Let h be w(z). Is h <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 - 0 - (-10 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 - 298*c**3 + 11164*c**2 + 1480*c - 459984 = 0. What is c?\nAnswer: -6, 7, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35478 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 2) + 0 + 204 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*b**5 + 14\/3*b**3 + 2\/3*b**2 + 0 - 2\/3*b**4 - 4*b = 0. Calculate b.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4773 and 115\/1032?\nAnswer: 38184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let q(o) be the first derivative of o**3 + 6. What is i(q(z))?\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -43\/3. Let u = -1\/483 - -7353\/322. Find the common denominator of u and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -304, -671, -1298, -2251, -3596, -5399?\nAnswer: -7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2301915 - 1853041826\/805. Let p be 418\/(-1610) + (-2)\/(-7). Let q = k + p. Is q > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2058615 or 2058534?\nAnswer: 2058534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.000837?\nAnswer: 0.500837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1636912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 44, -252, 4, 40, -1.\nAnswer: -252, -1, 2, 4, 7, 40, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 6*u**2 - 36*u + 3. Let i be l(5). Calculate the highest common factor of 36 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + 1*-1. Let s be (-7 - -7)*2\/6. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.6. Let n = -1.94 - -0.94. What is the biggest value in -2, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*l - 2*l - 1, 0 = -2*r + 3*l - 8. Let w(q) = -q**3 - 7*q**2 - 7. Let j be w(r). Does 14 divide (-30)\/105 - 254\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 2*o - 1. Suppose -3*t - 2*i = 8, 3*t - 13 = 8*t + 3*i. Let v be 2\/1 + t + -1. Give a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 368, 363, 358, 353?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47489 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23980\/374 + -64 - 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6026*a + 6932. Let d(i) = 1204*i + 1387. Let b(z) = 14*d(z) - 3*p(z). Find the first derivative of b(v) wrt v.\nAnswer: -1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 8*o**2 + 2*o - 14. Let y be x(8). Solve y*b - 3*g = -7, 24 + 1 = -4*b - 5*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -34*d**2 - 6*d - 17. Let q(r) = -35*r**2 - 7*r - 17. Let t(z) = 5*q(z) - 6*v(z). Find the second derivative of t(k) wrt k.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 62*a**3 + 20*a**2 - 99*a + 20. Is q(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 270161724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + 16*k - 7. Let d = 107 + -112. What is the remainder when p(d) is divided by (2\/5)\/(1\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94824 divided by 227.\nAnswer: 94824\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/20 + i**4\/24 + 2*i**3\/3 + 3*i**2. Let r(x) be the first derivative of a(x). Let c(p) = -p. Give -11*c(l) + 2*r(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(612) + 0)*-5*-2 + -2).\nAnswer: -300*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14. Suppose -2*q + i + 12 = 0. Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011000010 (base 2) to base 6.\nAnswer: -20430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:12 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**9\/m)*(m*m**(-8))\/m*m**(-7)\/m**(-15))**(1\/10) assuming m is positive.\nAnswer: m**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 83*m - 99*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10176 divided by -4\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-55) - (-23)\/115?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2585658 is divided by 1265?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + (3 - 7) + (27 - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138099 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1523342 (base 6) to base 3\nAnswer: -11111221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28137 by 8.\nAnswer: -28137\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66 and -0.915274815102.\nAnswer: -66.915274815102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14*g - 1. Let v = 27 - 47. Let n be 9*(-2)\/(-3)*30\/v. What are the prime factors of y(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12273\/367598 + 1\/3038. Let z = -512\/847 - t. Sort -3\/5, 0.4, z in decreasing order.\nAnswer: 0.4, z, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*(-5)\/260*-8.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 725*d**2 + 319*d**2 - 5653*d**2 - 7.\nAnswer: -4609*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5224064 and 816?\nAnswer: 266427264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 175*i - 49. Let l be u(15). Find the third derivative of -11*k**3 + l*k**2 - 2482*k**2 - 49*k**3 wrt k.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27593079 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53712 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6247*k*o**2 - 4*k*o - 1245*k - 26*o**2 - o + 4062 wrt o?\nAnswer: -12494*k*o - 4*k - 52*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -767, 6\/11, 3.\nAnswer: -767, -1, 6\/11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fao when three letters picked without replacement from tfowfsafsww.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let o(f) be the second derivative of f**4\/2 - 25*f. Calculate s(o(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 2 + 2 - 0. Suppose w*m = -3*m + 333. Suppose m + 13 = 4*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 382 = -2*d, -5*d = -3*s + 386 - 7. Let m = 194 - s. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*o**2 + 2*o**3 + 380*o**2 - 17 - 127*o**2 - 5*o**4 - 118*o**2 - 28 in the form j*o + u*o**4 + d + m*o**3 + s*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3356501*f + 298834 with respect to f.\nAnswer: 3356501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42549676 divided by 3273052.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -22. Let h(w) = 3*w**2 + 4*w - 14. What is the remainder when h(-6) is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -833 - 2876?\nAnswer: -35a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1930*y**3 - 956*y**3 - 961*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-634410)\/(-53))\/(-95))\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 43. Let q(j) = 13*j**2. Let i(w) = 36*w**2. Let o(u) = -4*i(u) + 11*q(u). Determine s(o(k)).\nAnswer: k**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1672 + 12*t - 14*t + 26*t**2 + 2*t + 5*t - 4*t wrt t?\nAnswer: 52*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -339, -338?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/20 - 17\/(-5). Suppose 5*y - 24 = -3*r, d*y - 8 = 1. Let x(u) = u**r + 6*u - 1 - 4*u**2 - 2*u**2 + 4. Calculate x(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Solve -2*d + x = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197812206 divided by 172611?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/9? (a) 18\/11 (b) -2 (c) -0.07 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129218*d*h + 39824*d wrt h?\nAnswer: 129218*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2079 is divided by 76?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192673798*j**3 - 156864222?\nAnswer: 578021394*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 2.92. Let w = x - -1. Suppose 4*m + m = i + 5, -5*i = 3*m - 3. Which is the second smallest value? (a) -3 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*k**2 + 0)*(k - k - k) - k**3 + k**3 + 3*k**3 + (0*k**3 + 2*k**3 - 4*k**3)*(-4 + 0 + 5).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*u - 14*u + 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b040 + 5?\nAnswer: b045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262775979 to the nearest integer?\nAnswer: 16210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2550)\/(-36125)*(-30)\/(-9).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -5784702?\nAnswer: -150402252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16153 + 58813. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/4 + 3*2. Let k(t) = t**2 + 6. Let c(x) = -3. Determine f*k(r) + 6*c(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1413, -4508, -9641, -16812, -26021, -37268?\n\"Answer: -1019*d**2 - 38*d - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ada - -2ec?\nAnswer: -27dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*2*-1) + sqrt(144)))\/sqrt(12))\/(-5*(sqrt(6) + sqrt(150))*2) + -2)*-3.\nAnswer: -sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 0*c - 2*c + (-1 + 2 - 2)*(38 + 42 + 76)*(-2*c + 2*c + 2*c) to the form t*c + j and give t.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1101*t + 1409 wrt t?\nAnswer: -1101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 7726112677*h - 1 - 7726112677*h.\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 4*w - 44 = 0, -3*g + 4*w = -172. Let v be 1 - (g\/36 - 1). Let n = 0.3 - 0.2. What is the nearest to n in v, 2, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -37069?\nAnswer: -296552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 46*j - 44*j. Let t(v) be the third derivative of 0 - 1\/4*v**3 + 1\/80*v**6 - 1\/16*v**4 - 3*v**2 + 1\/40*v**j + 0*v. Let t(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 99320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 794031509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + 1 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(2) - sqrt(21))*-1)\/(sqrt(42)\/(sqrt(18)\/sqrt(3) + sqrt(6))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (36*(-34)\/12648)\/6\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 11*x**2)*(x**2 - 2*x**2 - x**2)*(-2 + 2*x + 2).\nAnswer: 44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88732 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471672187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15568 by -7784.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 42345616?\nAnswer: -1\/5293202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 43. What is the remainder when 70 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -19*b - 53 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104213240 + -4?\nAnswer: -104213244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -0*j + 4*s - 7, 2*j = -5*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202020100 - -1012?\nAnswer: 2202021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + k**2 - 5*k**2 - 3 + k**2 + 3 + (-k**2 + 2*k**2 - 3*k**2)*(4 - 3 + 0) + (91 + 35 - 3*k - 202)*(-6*k - 38 + 38) as a + p*k + c*k**2 and give p.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g. Let f(i) = -14847*i**2 - 1911*i - 1911. Let r(t) = -8*t**2 - t - 1. Let k(y) = -2*f(y) + 3822*r(y). Calculate w(k(x)).\nAnswer: 3528*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/397 - -1147\/8734. Let d(p) be the first derivative of u*p**4 + 0*p + 2\/33*p**3 - 3 + 6\/55*p**5 + 1\/33*p**6 + 0*p**2. Find m such that d(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 + -5 + 5 + 18 + -15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1*(-7)\/((-35)\/(-15))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d*d**(-2\/37))\/((d\/d**(-2\/5))\/d*d**(1\/13)) assuming d is positive.\nAnswer: d**(-18112\/2405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 + 172222*l**2\/3 - 1225586*l + 402150 = 0.\nAnswer: -28725, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 532666*z**4 + 110*z**2 - 2*z - 16?\nAnswer: 12783984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -0.8. What is s rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -42.7. Let i(z) = 2*z + 1. Let u be i(2). Let d be 1 + -4 + 2 + -1. Which is the biggest value? (a) d (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -817*b + 2. Let y(q) = -105*q. Give k(y(j)).\nAnswer: 85785*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-5) + -7 + (-21)\/45.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 11*y + 25. Let p be g(12). What is p rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*c = 114910, 2*c = -3*d - 55123 + 227492. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5 = -5*c, -82 + 53 = -5*c + 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 - 228*h**3 - 3124*h**2 + 3828*h + 6728 = 0 for h.\nAnswer: -29, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -15. Let z(u) = -3*u**3 + 4*u**2 + 65*u - 19. Let b(p) = -p**3 + 16*p - 3. Let y(f) = -4*b(f) + z(f). Give y(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -45*w**3 + w**2 - w + 1. Give u(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 2815980?\nAnswer: 19711860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s + 56. Determine m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-28)\/(-8) - 2 - (-2 - -2) and 35\/(-1)*2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.1 (c) 0.5 (d) -0.5 (e) 1\/56484 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + -40870.1.\nAnswer: -40869.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 7*q**2 - 5*q. Suppose -27 + 7 = 5*y. Let c be z(y). List the prime factors of c\/10 - 4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h + 17*h - 68*h + 20*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65\/99 - 1\/99. Let l = -0.6 - -1.6. What is the nearest to o in 2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4 + 8. Suppose 316 = c*q - 8. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 38.9. Let x = 101\/280 - 3\/40. Put -1\/2, t, x, 0.2 in increasing order.\nAnswer: -1\/2, t, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 3 - -12 - -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20623\/(-11) - (6 - 256\/44). Let l be 2240\/15*w\/(-2). What is l rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1587*t**3 + 59*t**2 - 224*t + 11. Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 464764 and 16286683.\nAnswer: 16751447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2)\/(0 - 1). Let c = -19 + 21. What is the third derivative of -x**5 - x**2 - x**c + b*x**5 + 0*x**2 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44240077621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:33 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 653610 and 330.\nAnswer: 7189710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxt when three letters picked without replacement from xdxxdxcxxxcdxpdpctx.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -254, 11, 4\/7, 2\/5, 1\/9 in descending order.\nAnswer: 11, 4\/7, 2\/5, 1\/9, -4\/5, -254","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/11, -121, -2154?\nAnswer: -2154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let k = -0.0566 + -0.3434. Which is the nearest to y? (a) k (b) 2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 9. Let t be a(-7). Let q be -3*(8\/(-3) + t). Suppose -30 = -q*c + m, -7 = -c + 2*c + 5*m. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 302011524 + 2.\nAnswer: 302011526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1580\/79*(-15)\/(-5)*(-1)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3141, 6281, 9421, 12561?\nAnswer: 15701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*u**3 + 40*u**3 + 9*u**4)*(6*u - 8*u + 45*u).\nAnswer: 387*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 20*p**2 - 149*p - 11. Let t = -81 + 79. Let d(z) = -4*z**2 + 30*z + 2. Let o(u) = t*j(u) - 11*d(u). What is the second derivative of o(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**4 - 108929*r**3 - 119*r**2 - 903*r wrt r?\nAnswer: 72*r - 653574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 2*f + 2. Let x be g(-2). Let h = x - 0. Suppose 21 = h*v + 9. Solve 0 = -0*y - 2*y - v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - q = -1888, 2*x + 1416 = -3*q + 5190. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*r + 5*z, r + 4*z + 16 = 2*r. Sort 2, r, -11.\nAnswer: -11, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1415443 (base 7) to base 12.\nAnswer: -91604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (4 - -6) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -29*j - 1477. Calculate s(-58).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49794 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637)*3 + -2 + -3)**2.\nAnswer: 420*sqrt(13) + 22957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 24 = -0*u. Solve 0*m + u*m - 21 = -5*n, -2*m + 3*n + 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 43. Give j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 184659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 44 - 24 = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 978302 or 16631112\/17?\nAnswer: 978302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/3 + 1064*y**3\/3 + 47808*y**2 + 152064*y - 4460544 = 0 for y.\nAnswer: -264, -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -632*j**3 - 737*j**3 - 192*j**3 - 4*j**3 + 0*j**3 + 3*j**3 + 3*j + 2*j**3 - 3*j + j**3 + 0*j**3 + j**3 + (5*j**3 - 4*j**3 + 0*j**3)*(-3 + 2 + 2).\nAnswer: -1557*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 2*y)*(2*y**3 + y**3 - 5*y**3) + (-y**3 - 3*y + 3*y)*(0 - y + 0).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693690 a multiple of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -22357390\nAnswer: -1\/22357390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -13, 11, 2, -4 in ascending order.\nAnswer: -13, -5, -4, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/34889 and 77\/1004.\nAnswer: 139556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - (-47 + 23)) + (-9 - 18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 20\/(-5) + (-16)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2376194 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(sqrt(400) + sqrt(16)))\/(3*sqrt(648)*2).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -194.\nAnswer: -5\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1*(-6)\/(-3). Suppose -i - a = -1538, i + i - g*a - 3072 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -556*(1\/(-10))\/(688\/(-1720))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22780 minus -0.071?\nAnswer: 22780.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.01, 18\/257, -1\/2, 111, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 3*n = 34, 2*n = -10. What are the prime factors of (-4 - -2)\/(2\/b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.025 and 0.1.\nAnswer: 0.2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 960\/47, 52, 4 in descending order.\nAnswer: 52, 960\/47, 4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (140980\/(-56))\/(-53)*(-152)\/190?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0 (c) 0.4 (d) 1 (e) -0.23 (f) -4.723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164001913 by 2.\nAnswer: -164001913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42893?\nAnswer: 59, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362051103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 44. Let a be h(-7). Let q(p) = -8*p + 9. Let j be q(-12). What is the first derivative of 8 + j*i - 10*i**a - 105*i wrt i?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 31 = 2*a. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 2ba02?\nAnswer: 2ba04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 173102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, 0 in ascending order.\nAnswer: -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 3*o + 92. What is n(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*c + 4366, 5*c + 2373 = 2*t + 635. Suppose 4*y - t = 454. Suppose -i + y = 3*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*a - 51355 + 9451 = 0 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330 + 3432?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 27 = 3*m + 4*d, 4*m - 5 = 5*d. Suppose s + 136 = -m*c, 2*c = -c - 9. Let t = s - -188. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 866 + 208 - 7*d + 6983. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 3, a: 4, h: 1, t: 2}. What is prob of picking 1 n, 2 c, and 1 h?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137 divided by 45928.\nAnswer: 1137\/45928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**7\/280 - 2*t**4\/3 + 7*t**3\/6 + 24*t. Let x(v) be the second derivative of a(v). Differentiate x(j) with respect to j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/3 (b) 3\/5 (c) 36523\/4 (d) -5 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -2. Let u = 18 - 20. Is m < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13182 and -1.\nAnswer: -13182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.270342 centuries?\nAnswer: 627.0342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 3. Suppose 3*k - 1 + m = 0. Let h = -2 - 1. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/88695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110021102 - -111110110?\nAnswer: 1012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -225? (a) 168 (b) -1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.18253 + 1?\nAnswer: 26.18253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/238?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 4, -2 in decreasing order.\nAnswer: 4, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/3 + 26*x**4 - 493*x**3 - 1558*x**2\/3 = 0. Calculate x.\nAnswer: -1, 0, 38, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10321605 (base 7) in base 14?\nAnswer: -18c6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 + -0.36. Let g = 985411.19999968 - 985411. Let h = p + g. Round h to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*414\/460 + (-398)\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 4*s - 1220. What is the remainder when 618 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -239?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -147*m**3 + 80*m**2 - 16*m. Let k = -5 + 9. Let o(d) = 147*d**3 - 79*d**2 + 17*d. Let n(g) = k*o(g) + 5*q(g). Suppose n(u) = 0. What is u?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (188\/(3 + -1))\/((-8)\/(-4)). Suppose -67 = -5*r - j, -4*r + x = -2*j + 5*j. Solve -3*n - 12 = -5*y, -5*y + 5*n = -r - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1 + 2*y**2 + 1 - 1 + y + 1. Let k(h) = 3*h**2 + 2*h + 2. Determine 3*k(p) - 4*u(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 31*n**4\/8 + n**3 - 101*n**2. What is the first derivative of d(v) wrt v?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*s - 2*s + 2*s)*(4 - 4 + 2) + (2 + 1 - 5)*(-2*s + 4*s - s) to the form p*s + f and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 2. Suppose -5*x - l = -2*x. Put x, -2, 2, 4 in descending order.\nAnswer: 4, 2, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Let o = 148915\/118 + -1262. Let x = o - 233\/354. What is the closest to x in u, 3, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -110*f**5 + 7702*f**4 - 65810*f**3 - 612606*f**2 - 1022400*f + 18792 = 0. Calculate f.\nAnswer: -3, 1\/55, 18, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1199862 + -0.2.\nAnswer: 1199861.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -115*r - 41. List the prime factors of u(-4).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -20. Is (-1)\/(3\/(-1094))*s\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 967365, 1934730, 2902095?\n\"Answer: 967365*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 14*x**3 - 9*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + 92. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -390, -73 in descending order.\nAnswer: 4, -73, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 0 - (760 - 716).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108330 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:40 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613332 (base 9) in base 13?\nAnswer: 537086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 + 2*g**2)*(0 + 0 - 2*g) - g**3 - g**3 + 0*g**3 - 2*g**3 - 3*g + 3*g + (0*g + 2*g - g)*(4 - 4 - 8*g**2) - 5*g**3 + 3*g**3 + 0*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - z + 23 = 34, -5*z - 30 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2388210.8 times 0.06?\nAnswer: -143292.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3836 + -0.3841639. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 45444\/493 + -1560\/17. Let v = 2882 - 20194\/7. Find the common denominator of v and c.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 21090 = 13*g. Is g a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2851287 and 751413.\nAnswer: -2099874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, -0.26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 3*j**2 + 5*j. Let s be b(-4). Let a be s*25*308\/(-6). Round a to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 = -4*p, 6*p - 11*p = n + 5. Let o = 117 - 57. Find d such that 55*d**2 + 10*d - o*d**2 + 15 + n*d = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -8. Let y(n) = 5*n**2 - 10*n + 16. Let a(s) = 1725*s - 3*s**2 - 1 + 1 - 1716*s - 9 - 2. Let q(u) = -3*a(u) - 2*y(u). Determine q(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 6*z)*(0*z**3 - 3*z**3 + 5*z**3) - 2*z**4 + z**4 - 3*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-2)\/6*-9. Let c(i) = -9*i - 8. What is the tens digit of c(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -15445776?\nAnswer: 15445776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 776\/3 - 259. What is the second biggest value in 88, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 2*v**2 + 5 - 4*v**3 + 2*v**3. Let u be o(-5). Let t = 3082\/11 - u. Which is the third biggest value? (a) t (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34287.4 - -34287. Let v = 0.1 + -73.1. What is the nearest to 0.1 in g, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g = 12. Calculate the lowest common multiple of (g\/6)\/((-1)\/(-27)) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/(-1)*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*l**3*s + 38478*l**3 - 741019*l*s**2 + 162 wrt s?\nAnswer: -12*l**3 - 1482038*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-24)*4 + 9\/2. Solve 0 = -u*r + 2*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 0 = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -64 + 1 + -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -0.009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8269169.8 + 936521.\nAnswer: 9205690.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4 - 5*b**2 - 5*b**2 - 4*b + 2 - 12*b**2 + 23*b**2. What is f(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91868, 91855, 91826, 91775, 91696?\nAnswer: 91583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 213322020?\nAnswer: -213322036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2483380, 2483376, 2483372, 2483368, 2483364?\n\"Answer: -4*z + 2483384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.6. Let p = 0.06 - -0.24. Let s = 0.6 - p. Which is the biggest value? (a) o (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 - 5 = 0. Let d be m\/4*(4 + 0). Let y = d - -4. Is y not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -12. Suppose 18*s + 4 = 40. Suppose 0 + 16 = -a - s*d, -3*a - 2*d - 28 = 0. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1315539*q**3 + 28*q**2 - 4*q - 2904 wrt q.\nAnswer: -7893234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, s: 2, x: 4, u: 2, q: 1}. Give prob of picking 1 v, 1 o, and 2 u.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.732383474 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4036\/55 + 4\/(-22). Let a = c - 2941\/30. Calculate the common denominator of a and 80\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + d + 7 = -3, 5*d = -3*i + 6. Suppose 320 = -4*q - f, i*f = -5*q + 4*f - 413. Let r = q + 119. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/109515 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let s(t) = -15*t - 87357. What is s(l(x))?\nAnswer: 45*x**2 - 87357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(8\/5)*m))**(-12)*m\/(m*m**21)*m*m\/((m**9\/m)\/m) assuming m is positive.\nAnswer: m**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54841.33 minutes?\nAnswer: 3290479800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/5 + 121079*z**2\/5 - 1442728*z - 483600 = 0.\nAnswer: -1\/3, 60, 40300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19514.034us to days.\nAnswer: 0.000000225856875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-4)*t*t*t**(-2\/3)\/t*t**(4\/5)*t**(-1\/9) assuming t is positive.\nAnswer: t**(-89\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6461043*-0.1\nAnswer: -646104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.17 + -89.53. Let q = l + 92. Which is the third biggest value? (a) 0.2 (b) 10 (c) 3\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12.3 and 17286 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/17)*g)**(4\/5)*(g*g*g*g**(-3)\/g)**(2\/27) assuming g is positive.\nAnswer: g**(722\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 3. Let r be g(1). Let o be -6 - (1 + (-2 - 0) - r). Put 1, -4, 0, o in ascending order.\nAnswer: -4, o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -1957*v + 1961*v - 6, -3*v - s = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1784 + -1785. Which is smaller: l or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30970632 and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*u + 30. Solve -5*m + 27 = -4*r, -4*m + u = r - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 59?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438.3 + -439. Which is the second biggest value? (a) 0.3 (b) -2\/3 (c) q (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3233880 and 3510.\nAnswer: 9701640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.20466 (b) -0.2 (c) 5\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 140887386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456 divided by -24?\nAnswer: -557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 39*g - 155. Let m be n(4). Solve a - 4*z = 11 + m, -3*a = -5*z - 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.2, -10\/3, 2\/3, -196, 152.\nAnswer: -196, -10\/3, -0.2, 2\/3, 7, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 5) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 21*s - 463. Calculate the remainder when 109 is divided by r(24).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6862 - 6942.39. Let p = 121 - 202. Let o = p - d. Round o to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from szuuzsssssuuszzzzsuz.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1991, -2, 2, -4 in ascending order.\nAnswer: -1991, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -39845, -0.18, -8, 0.1?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 49 = 39 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -17*r**3\/3 + 35*r**2\/2 - r + 3. Differentiate k(a) with respect to a.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9413143 is divided by 282?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(-b**2 - 2*b**2 + b**2) - 3*b**3 + 2*b**3 - b**3 + (-b - b + 3*b)*(0*b**2 - 2*b**2 - 2*b**2).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 31*v + 3*y, -57*y + 10 = -3*v - 56*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-80)\/6)\/(3\/9). Let k = 64 + z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 358 = 306. Suppose -10*p = 16*p - b. Solve -4 - 6 = p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6896578 to 3 dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136 - 623 + 280)*(4*v - 9*v + 12*v + 3) to d*v + x and give x.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1206 and 2101656?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)*4)\/sqrt(2) - (sqrt(2) + 1 + 1))*-2 + -3.\nAnswer: -6*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 6 (c) 4 (d) -0.1 (e) -5 (f) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = -573 + 177 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-8) + (-7)\/28. Suppose -w + 2068 = h*f, -5796 = -2*w + 4*f - 1674. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + 182 + -31 + -20.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f**2 + 7*f. Let l(r) = r**2 - r. Give -3*l(v) - p(v).\nAnswer: 5*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110332 (base 4) to base 10\nAnswer: -1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(147) - (sqrt(147) + 1*(sqrt(147) + 1)).\nAnswer: -7*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 60 - 210 = 0. Suppose 31*x - d*x = 8. Solve 0 = -5*i + 4*t + 12, 3*i + 5*t = x + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16062825*s*v**3 + s*v + 69*v**3 - 479*v + 62 wrt s.\nAnswer: 16062825*v**3 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148644493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 208, 374, 502, 532, 404, 58?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, b: 4, n: 3}. Give prob of sequence nbn.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/810641 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -26*d**7\/7 + 37*d**3\/3 - 20. Find the third derivative of a(j) wrt j.\nAnswer: -3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 454 (base 11) to base 3\nAnswer: 202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -334799 - -1401918. Let g = i - 1067118.9199949. Let d = g - 0.08. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/(-4))\/((-156)\/832) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 10*q**2 + 7. Let w be d(10). Solve -2*h - w = -3*v - 0, -2*v - 6 = -4*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 13*f - 11544. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 18*t**2 - 170*t + 38. Determine o(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/94528 and 67\/108032?\nAnswer: 756224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 11 + -6 + 5 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let a(n) = -n. Let d(m) = -39*m - 1 + 1 + 27*m. What is h*d(t) + 27*a(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 7*n + 2 - 45 + 339.\nAnswer: 5*n + 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1117966, 1117967, 1117966, 1117963, 1117958, 1117951?\n\"Answer: -c**2 + 4*c + 1117963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 2 t when four letters picked without replacement from {w: 3, m: 1, k: 6, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.43891949 to one dp.\nAnswer: -71.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*t**3 - 2\/9*t**4 + 0 - 4\/9*t + 2\/9*t**2 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866619?\nAnswer: 3, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 10) in base 12?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**5 + 38*x**2 + 198*x wrt x?\nAnswer: -60*x**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 723043321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 20*z**3\/3 + 2*z**2 + 5*z - 6. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -8, 18, -566, 3, 7.\nAnswer: -566, -8, -2, 2, 3, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/24129330 and -79\/160862200?\nAnswer: 482586600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034182 to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**3 + 4*q**3 - q**3)*(-7 - 9 + 19) to z*q**3 + b + n*q**2 + p*q and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1016*(-23)\/(-368))\/(89\/(-178)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -26, -50, -86, -134, -194?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*t**3 - 297*t**3 + 6*t**2 - 6*t**2 + t**3 + 2*t**3 - 4*t**3 - 2*t**3 + 1 - 1 + (-t**2 + 4*t**2 - 2*t**2)*(t + 4*t - 4*t).\nAnswer: -236*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + 0 + 2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let w = -0.1 + 12.1. Let r = -11 + w. Which is the closest to 0.2? (a) 2 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -c28b?\nAnswer: -c288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, -19 in decreasing order.\nAnswer: 5, 4, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11*1 + ((-44)\/4 - -8). Solve -3*v - 18 = -0*v + 3*o, -2*o = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7713 - 4684. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069961*-20\nAnswer: -1.39922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 2332 + 939 = -753 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684039.\nAnswer: 7, 113, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -984 - 196. Is u\/(-45) - (-4)\/(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -258962.\nAnswer: -25896.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:01 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 2*q. Suppose 5*n - 14 = 3*i, -5*i - 5 - 6 = 4*n. Let r be j(n). Let w = -6 - -8. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 3*y - 8*u - 626, 4*y = -10*u + 880. Let l(w) = 3*w - 5. Let g be l(5). Calculate the highest common factor of y and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3 - (-2392)\/312.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 38906155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -o + 8, 3*o = 4*z + 68 + 20. Suppose 2*f + o = 72. Is f > 177\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2397536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1523543.6300098 - -1523543. Let p = -0.63 - y. Round p to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 109*c + 10367. What is s(-170)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-4\/5)\/(f*f**5))**(-34))**(10\/9))**(-27\/2) assuming f is positive.\nAnswer: f**(-3468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00183458904 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 74. Suppose 184*x - 191*x = 0. Let r(g) = g**3 + 10. What is the remainder when s is divided by r(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 297 - 280. Let p = d - 12. Solve -p*k = 5*h, -3*h + 2*h - 4*k = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.7. Let b(y) = -5*y**2 + 3*y**2 - 2*y + 0 - 4 + 5*y**2 + y**3. Let u be b(-3). What is the biggest value in -0.4, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2973584 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:31 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -12*o - 23. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85\/3179 - (2\/(-33))\/(-2)*-3\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3224 and 69\/14.\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702*p + 707*p = -35. Suppose 2*y - 3*y = -3. Put p, y, 4, -2 in descending order.\nAnswer: 4, y, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*k + 1. Let a be (-10)\/(3\/24*k). What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 3*l + 25. What is r(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddhdhdhdd. Give prob of sequence hdh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 w, and 1 c when four letters picked without replacement from {p: 1, w: 1, h: 4, b: 2, c: 7}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/16 (b) 4\/3 (c) -0.5 (d) -0.0085 (e) -0.2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 256*n - 278. Give q(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(6\/16)*6\/4. Suppose 0 = 2*r + 5*q - 13, 4*q = r - 0*r. Find the second derivative of 0*f**4 - 6*f + u*f - 4*f**r wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 48260.\nAnswer: 48260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 6*d - 7*d**3 + 77*d**2 + 2*d**3.\nAnswer: -4*d**3 + 77*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = 1440. Suppose 10*j + l = 15*j. Suppose 0*n - j = -4*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19990 divided by -2.\nAnswer: -9995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-5))\/2 + (-1886)\/(-115). Solve -j = n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007127 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*r)*(-77 + 30 + 39)*(5 - 3 + 0).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)\/sqrt(6)*2 - -4*sqrt(7)*3) + 5)*-6)**2.\nAnswer: 5040*sqrt(7) + 50292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-54)*(-2)\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/2157699 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 - 2908*u**3 - 53240*u**2 + 401344*u - 566400 = 0. What is u?\nAnswer: -708, -25, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 73 (c) 2\/7 (d) -66 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10898903 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1666462 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574468 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954513.\nAnswer: 3, 7, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 11, -6, 3.\nAnswer: -136, -6, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2392 - 7162 + 2384 + 2393 + 21*o.\nAnswer: 21*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49003a5 + -18?\nAnswer: 4900389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 4. Let u be d(4). Let 2*k**5 + u*k**3 - k**4 + 2*k**3 + k**4 + 4*k**4 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**3 + u**2 - 1. Let r be g(-1). Let y(i) = -i**3 - 7*i**2 - 2*i + 14. Calculate y(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:52 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ebblrrrrlrbbbrrerbr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31808862?\nAnswer: 2, 3, 23, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f**2 + 8*f + 3*f**2 + 0*f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621972296 divided by 3616118?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -15. Suppose 4*v - 42 = -2*v. Solve 0 = -k*h + v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 + 1197522*w**2 + 119869318692*w + 72675367408920 = 0.\nAnswer: -199282, -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = -4*o + 27*k - 100, -4*o + 112 = 50*k for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + 8\/(-20). Suppose 2*h - 26 - 24 = w. Let l = h + -19. Solve 0 = l*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654.192 seconds in nanoseconds?\nAnswer: 4654192000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 55 = -0*j. Let h = j - -14. Let u be (-2)\/(-7) - (-52)\/14. Which is bigger: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392993 is divided by 519.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 11. Let v = 8.85 + 2.95. Let u = 7.2 + v. Which is the third biggest value? (a) u (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 6*k = 75. Let c = 18 - k. Let r(a) = -a + 1. Calculate r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1320 (base 6) to base 16\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*k + 740*k + 2 = 2*q, -2*q + 4*k = 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d*d\/d**(-2\/17)))*d)\/d*d**(10\/9))**(-1\/2))**(-19))**(2\/35) assuming d is positive.\nAnswer: d**(9386\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 38*k = -11*k - 148. Solve 6*f + 3*y = k*f, 5*f + 19 = 2*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + 33. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 + 0 + (-17)\/(-35)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710781 times 0.1?\nAnswer: 71078.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*g**2*v*w**2 - 211*g**2*v*w - 4*g**2*w**2 + 50*g*v*w - g*w**2 + 5*v*w**2 + w**2 wrt g?\nAnswer: -32*v*w**2 - 422*v*w - 8*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -443?\nAnswer: 14\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + v + 2. Let c(y) = 26*y**2 + 10*y + 25. What is -c(s) + 5*f(s)?\nAnswer: -11*s**2 - 5*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2106 (base 7) to base 13\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1201 - -3229. What is the highest common factor of y and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))**(-31))**43 assuming u is positive.\nAnswer: u**(-1333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58888 is divided by 902?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.532 - -76.632. Let w = 276 - 192. Let m = w - a. Round m to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500012 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 - 1456018*s + 1589991312243 = 0.\nAnswer: 2184027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/7864?\nAnswer: 5\/7864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -4 - (1 - (8 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -0.7. Let j = 30455\/616 + -524\/11. Let s = -10\/7 + j. Which is the nearest to -0.1? (a) y (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/42 and -129\/350.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-21))\/((-6)\/(-4)). Let u = 7665\/2 - 3832. Which is the nearest to 0? (a) 5 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0 - ((-10 - 63) + 17)) + 7 + -2?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (508 - 508 - 48*r**2)*(0*r + 0*r - r).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 11 = -24*f + 27*f + 7, 0 = -5*g + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15629833*j**3 + j - 31586711 wrt j?\nAnswer: -93778998*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 5*g - 319. Suppose 4*l - g = -5*i, i = 2 - 7. Calculate the highest common factor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -79*s + 5831. Give h(75).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9224 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 3*h**3 - 5*h**3 + (-9*h**2 + 28*h**2 - 10*h**2)*(3*h - h - 8*h) to the form j*h + t*h**2 + n + u*h**3 and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010102110112 (base 3) to base 12.\nAnswer: 1110358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**10\/(s*s\/(s\/(s\/(s**(-6)*s)))*s*s**4*s)*(s**(7\/5)*s**(-2\/13)\/s)**(2\/15) assuming s is positive.\nAnswer: s**(-12643\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b**(3\/2))\/((b**(1\/4)*b)\/b**(2\/11))*((b**(-1\/2))**(-3\/14))**(2\/73) assuming b is positive.\nAnswer: b**(-102645\/22484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -2100?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -270388, -136, -2 in ascending order.\nAnswer: -270388, -136, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*t + 4*f + 23, -17 = -5*t + 3*f. Does -0.1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33.51, -1\/2, -0.1?\nAnswer: 33.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 2, -1161, 1, -1, -52 in decreasing order.\nAnswer: 5, 2, 1, -1, -6, -52, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (sqrt(1300) - (3 + -1 + sqrt(1300))) + (sqrt(1300) - -2*sqrt(1300)*1) + -3)**2.\nAnswer: 60*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 3*a**3 - 125 + a**4 - 220*a**2 + 40 + 42 + a**3 in the form p*a**4 + w + o*a**2 + h*a**3 + v*a and give o.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -109 times -1.08364\nAnswer: 118.11676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1514 + -1507. Let q(v) = 3*v - 1 - 7*v + 4. Let s(h) = 13*h - 10. Give c*q(x) + 2*s(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185858091 to the nearest integer?\nAnswer: 13633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/7 + 618*m**4\/7 + 14901*m**3\/7 + 72462*m**2\/7 + 12888*m = 0. Calculate m.\nAnswer: -179, -21, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 3*p**2 - 2*p + (-5*p + 5*p - 2*p)*(2*p + 6*p - 3*p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 771*w + 41155. What is s(64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(((-5371)\/(-262))\/((-7)\/(28\/(-4))))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 88 = -6*q - 4*i, -65 = 4*q + 5*i. Let g = q + 16. Sort g, 1, 2 in increasing order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2 - 4*v + 2. Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5191.863 to zero decimal places.\nAnswer: -5192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 20\/(-8))*-4. Which is the smallest value? (a) h (b) 12 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s - 13 + 14*s + 26*s + 14*s.\nAnswer: 24*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-584*o + 420*o - 2124*o)*(-2*o - o + 2*o) to p*o**2 + c*o + q and give p.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 289212272 divided by 4.\nAnswer: 72303068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4.16 (c) 12 (d) -4 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5918 - 418*n - 5918.\nAnswer: -418*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:18 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21.13 and -1.\nAnswer: -22.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317575 take away -3?\nAnswer: 1317578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*r - 3)*(1185*r**2 + 1042*r**2 + 900*r**2) as q*r**3 + i*r + a + h*r**2 and give q.\nAnswer: 9381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0856239423 to 5 dps.\nAnswer: -0.08562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 6*k - 5*k + 0*k + k - 2*k + (3 - 2*k - 3)*(1 + 4 - 4).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (889\/(-1470) + 4\/7)*-4. Let u = 0.22 - 0.2. Put p, u, -2\/3 in increasing order.\nAnswer: -2\/3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 13*i + 16. Let n be t(-11). Let v = 9 + n. Solve 0 = -0*l - l - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**2 + c**3 - 66*c**2 - 40*c**2.\nAnswer: c**3 - 147*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/5*(98\/(-147))\/(1\/3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*q + 3*g, -2*q + 50 = -0*q + 2*g. Calculate the remainder when (-3195)\/(-36) - (-2)\/(-5 - -13) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqsqq. Give prob of picking 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:50 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/7 and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 8. Let o(t) be the second derivative of -t**3\/6 - t**2\/2 - 14*t. Determine 6*o(u) - w(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + 4*c. Suppose 0 = -15*f - 33*f - 11568. Let l = f + 258. What is the remainder when d(5) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14840 (b) 3 (c) -2\/15 (d) -5 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604928 (base 10) in base 4?\nAnswer: 21323332000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 434*f\/3 - 860\/3.\nAnswer: -2*(f - 215)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92817 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.88 + -0.12. Let l = i + 6. Let r(s) = -s**2 + 8*s - 8. Let j be r(6). Which is the third smallest value? (a) l (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y. Find the second derivative of y*t - 2*t - 5*t**3 + 9*t wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqqjjqqqjjjqqjjqj. Give prob of picking 1 j and 1 q.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 10*j**2 + 7*j - 12. What is t(7)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 3*m + 6*m)*(-234 + 343 - 324) in the form d*m + v and give d.\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**6*v)\/((v\/(v**(1\/8)*v))\/v))\/((v\/(v\/(v**(2\/3)\/v*v)*v))\/v*v\/v**8) assuming v is positive.\nAnswer: v**(131\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 - 1565*s + 69874 = 0.\nAnswer: 46, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415224 and 114290406?\nAnswer: 457161624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*2\/((-24)\/(-249))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:14 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, 1156, 5250, 13374, 26872, 47088, 75366, 113050?\nAnswer: 161484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -648*q - 23307. Calculate f(-36).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24 and 89\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 3. Let y(c) = -c**2 - c. Let j be y(-3). Let t be z(j). Let h be 84\/15 - t\/(-5). Solve -2*x + 4*x - 5*d - h = 0, 0 = -d + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -19 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:25 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -16*h + a + 11188, 3*a - 33534 = -3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 4)*8\/32. Let z be s\/3*(-84)\/(-7). Suppose -2*i = p - 40, 8*i - 3*i - 169 = -z*p. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3251, -6438, -9627, -12818, -16011?\n\"Answer: -o**2 - 3184*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - 2 - (-7 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2495.7 times 0.18\nAnswer: -449.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g + 3*g**2 + 64 - 2*g**2 - 65 as k + w*g + f*g**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147386\/45 >= 69942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 + -8)*1\/(6\/40). Suppose -6*o + o + k = 0. Suppose -16*u + o*u = 844. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1187)\/(-90)*-2 - 6\/(-10). Let j = 226\/9 + i. Which is the biggest value? (a) -4\/9 (b) 4\/7 (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1297075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5241951?\nAnswer: 3, 11, 13, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 91 + 28 + 61 = -u, -2*u = -2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -204. Suppose 31 = 2*y + 5*b, -2*y - y - 3*b = -x. Solve -h - y = 5*i - 2, 0 = -i + 2*h - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480877.\nAnswer: 43, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 82*f + 537. Let s be g(-6). Let y be 21\/12 - (-1)\/4. Put s, y, 0, -3 in descending order.\nAnswer: s, y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 69 = -123. List the prime factors of -140*(-24)\/(-28)*k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {r: 1, m: 5, t: 1, y: 5, f: 4}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**3\/13 - 58*x**2\/13 + 36*x\/13 = 0. What is x?\nAnswer: 0, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -91, -183, -275?\n\"Answer: -92*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 18 = -4*w. What is the remainder when 178 is divided by (-200)\/16*(2 - 44\/w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8146.3 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/52537085 and -97\/105074170?\nAnswer: 105074170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*n - 29*n - 37*n - 69*n + 8 - 34*n in the form s + r*n and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217595.\nAnswer: 3, 5, 81173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13 = 7188. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498390.7g in micrograms?\nAnswer: 498390700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137.3 - 157. What is g rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**4 - 590*r**3 - 17405*r**2 = 0.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32 and 0.1.\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 - 2*f. Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744, -2436, -4632, -6882, -8736, -9744, -9456?\nAnswer: -7422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5864955877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 5 (c) 1939\/5 (d) -1 (e) -39 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 712\/1125, 4, 2\/9, 1 in decreasing order.\nAnswer: 4, 1, 712\/1125, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 351 = -5*g + 2*g - 222 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-14) + 199593\/63 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75357*w**3 + 75376*w**3 + 5*w**2 - 132 - 4*w**2 to j*w**2 + h*w**3 + y + p*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2680 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*g = -49 + 28, -4*r = -5*g + 37 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -46. Let q = -14 + a. Suppose q*r - 27 = -3*c, -4*c - 4*r + 33 = r. What is the remainder when 23 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**2 - 258*u + 48. Let l be p(-26). What is the closest to 0 in -2\/13, l, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35246, -73197, -111148, -149099, -187050, -225001?\nAnswer: -262952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 44 = -3*j + 56, v + 2*j - 48 = 0. Let u = 5615 - 5479. What is the remainder when u is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v - 12. Let b be x(-7). Let r be b\/10 + 62\/2. Suppose 255 = -2*p + 5*p. Calculate the greatest common divisor of r and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 1 = 16, 4*l + 27 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736946063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 3*s - 102)*(-4 + 3 + 0)*(3*s**2 - 3*s**2 - 2*s**2).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = 5*z - 22, 5*z = -4*l + 60. Put l, -5, -1 in ascending order.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/23, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 0*x)*(-2*x**3 + 4*x**3 - x**3)*(9 + 12 - 33).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 18621280*h + 17337603441920 = 0. Calculate h.\nAnswer: 1862128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 191*w - 162. Suppose 33*t = 152 + 79. What is the units digit of q(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168426684 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*q - 7*q + q in the form m*q + i and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -11 + -3 + 18 + 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -9088, 0.2.\nAnswer: -9088, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476.2846 months in years?\nAnswer: 206.35705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*t - 3*m, 6*t = 375*m - 376*m - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 75*n + 256. Let m be x(-7). Calculate the highest common divisor of 144 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 14 (c) 0.5 (d) 1\/4 (e) 2 (f) -3 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -4*y + 5\/12*y**4 + 1\/20*y**5 + 2*y**2 - 1 + 1\/6*y**3. Let o(d) be the first derivative of v(d). Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 10*d**2 + 13*d + 4. Determine y(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -665*3*2\/(-6). Let u = i + -389. Is u a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -4)*(-9 + 2). Let h = 15 - r. Let -h*f**2 - 3*f + f + 30*f**2 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1402*p - 1353*p - 621*p as a + t*p and give t.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j + 26. Let s be o(-4). Let p be (-14*2 - -1)*1. Let l = s - p. What is the lowest common multiple of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/396)\/(39\/429)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (-7 + (-14 - (-47 - -17)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q - 5. Let n be y(8). Let z = n - 19. Is z < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2405, 0, 4, 2 in decreasing order.\nAnswer: 2405, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 6*t + 13*t**3 + 8 - 22*t**3 + 15*t**3 - t. Let b be k(4). Find the common denominator of 65\/2 and ((-190)\/b)\/((-2)\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 10*i - 129. Determine r(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003529477 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.19 - 23. Let o = -0.01 - t. What is the nearest to -2 in -1, o, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.59 and 4.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21205 + -21205.00000031057. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 6. Let z(u) = -4. Let c(t) = p(t) + z(t). Suppose -12*d + 28 + 32 = 0. Give c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:17 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {i: 4, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 838 - 834. Suppose -4*i + c = 0, 0 = -f + 8*i - 3*i + 98. Sort f, -4, -2 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -93, -66, -33, 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 6*c - 4*i + 51 = -4*c, -i = 44*c + 569 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2. Let s(v) = 204*v - 204*v + 3*v**2. What is s(j(w))?\nAnswer: 147*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - 9*a + 17. Let b(q) = q**2 + 2*q - 4. Give -9*b(o) - 2*y(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6730078 is divided by 124631.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {w: 2, z: 11, h: 2}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10077800 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, 0, -4, -3 in descending order.\nAnswer: 0, -3, -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2491\/7 - 355. Let d be 3*1912\/144*(-6)\/(-345). Let x = 3\/115 - d. Which is the closest to z? (a) 0.2 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8352894 and 484?\nAnswer: 183763668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*c - 153*c + 15*c - 176*c - 4*c + 3*c + 2*c + (-40*c + 41*c - 22*c)*(-1 + 0 - 1) as d*c + o and give d.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwki when four letters picked without replacement from immmwmkkmk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 118, 252, 440, 682, 978?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 11\/4 (c) 0.5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhixdhdmxdhdjmxhhh. Give prob of sequence dh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - 1\/((-2)\/18). What is the fourth smallest value in a, 4, 3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 185*q - 48*q - 84*q - 55*q.\nAnswer: -2*q - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 30 - 33. Let v(w) = 6*w**2 - 3*w + 11. Let j be v(m). What is the greatest common factor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9157 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 140 (b) -3 (c) -4\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*g, -5*u + 10*u - 113 = 4*g. Suppose 21 = -18*o + u*o. What is the remainder when 17 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 66 + 14 = 0. Calculate the greatest common factor of i and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -78. Let r be (2\/5)\/(48\/t). Which is the nearest to -1\/2? (a) -2\/15 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/4 + 27*k**2. Let m(o) = 5*o. What is m(n(f))?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = s. Suppose 4*n + 2 = s*n. Solve 4*u - n*u + 3*w = -4, 5*u - 5*w - 40 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3938214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**4 - 2*q**3 + q + 1. Let z(j) = -10*j**4 - 4*j**3 + j + 148. Let v(o) = c(o) - z(o). Find the first derivative of v(p) wrt p.\nAnswer: 44*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -47\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/5)\/(-14*(-21)\/3675*5)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h + 46. Let g = -7899 - -7886. Determine z(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -161. Sort -1, b, 1.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*g = 488*g - 8967. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -14402406?\nAnswer: 5\/14402406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97668762 a multiple of 2771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 v, and 1 j when four letters picked without replacement from vjbvvbvjjjj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 76*r**2 + 4. Let h(a) = 152*a**2 + 9. What is -4*h(z) + 9*s(z)?\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -3.9. Sort 1\/7, v, 2\/5.\nAnswer: 1\/7, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11233 (base 7) to base 15.\nAnswer: cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + 2)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 - 2 = 0. Let a be g\/(9\/6) - -1. Sort a, 0, -4 in decreasing order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13022)\/(-7) - 46\/161?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 1\/14*c**7 + 1\/12*c**5 + 14*c**2 - 5\/336*c**8 + 0*c**4 - 1\/8*c**6 + 0 + 0*c**3. Factor n(d).\nAnswer: -5*d**2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845150837 to the nearest integer?\nAnswer: 53340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224175128 and 1004?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17.16871 hours?\nAnswer: 61807356000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*i = -28*i - 56, -39 = 10*j - 7*j + 5*i for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 345\/(-92)*(-12)\/5. Suppose 2*i - 5 + d = 0. Let u(p) = 2*p**3 + 3*p**2 + p + 5. Let o be u(i). Do o and 1\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -23*m - 4. Calculate the remainder when 52 is divided by i(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18413 divided by -19?\nAnswer: -18413\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**3 - 63*g**2 + 21*g + 90. Let z = 67 - 63. Let w(o) = 23 + 9*o**2 - 3*o - o**3 + 5 - 41. Let u(k) = z*c(k) + 27*w(k). Factor u(b).\nAnswer: -3*(b - 1)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 0.19. What is the second smallest value in s, -2, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 627.9999733 - 628. Round z to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*1\/4*(-6 - -2). Suppose -43 = f*h - 13. Let v be 4\/((4 + h)\/2). Solve 5*d = -p + v + 16, 0 = -5*p - 3*d - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-5))\/(-3)*(-15)\/(-9). Let o(t) = 2*t**2 + 24*t - 21. Let v be o(-13). Solve -v*f - l = 11, l - u = 3*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321.432527 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5997, -1, 0 in decreasing order.\nAnswer: 5997, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 8. Let h be r(-2). Suppose 3 - 15 = h*j. Suppose 0 = -2*g + 6*g. Sort j, g, -4.\nAnswer: -4, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11668*i - 20. Let t be h(15). Suppose 9 = 5*b - 1. Suppose -b*n - t = -3*n. What is n rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.195 and -0.09.\nAnswer: -0.10755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1186 + -1185.8. What is the closest to m in -0.2, -12, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 2*c + 3*c + (-35 + 34 + 50)*(-3*c + 3*c - c) + (0 - 4 + 3)*(-c - c + c).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1153546 or -1153813?\nAnswer: -1153813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 359, 0, 3, -3 in decreasing order.\nAnswer: 359, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5*n**2*n)\/((n*n**0*n)\/n*n**(-5)*n) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d = 13*d - 110 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11917219 to 3 dps.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 4*m + 23. Let i be r(3). Let s(v) = 3*v**2 - 2*v + 1. Give s(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d8a0 - c?\nAnswer: 3d894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -302*u**3 + 3*u**2 + 11*u + 9. Let j(r) = -303*r**3 + 4*r**2 + 13*r + 11. Determine -5*j(n) + 6*w(n).\nAnswer: -297*n**3 - 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401817.\nAnswer: 11, 97, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqyqttimtimtqbmqtttt. Give prob of sequence qb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 469 + 39. What are the prime factors of b?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 1 - (3 + -14 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.97026 micrograms to tonnes.\nAnswer: 0.00000000007797026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 2\/9 (c) 14 (d) -56949\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and -37\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 - (-8)\/(-2)). What is the greatest common factor of 48 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81300 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 2. Let m(d) = -29*d - 47. What is -3*m(w) - 21*u(w)?\nAnswer: 3*w + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432\/(-616) - 50\/275?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 7, i: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215640 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 20. Let r = 14 - z. Which is the closest to r? (a) 0.4 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*a + 4861 + 6897 - 4318 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q = 110*q + 2*d - 10, 0 = 3*d - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}