diff --git "a/data/dm_maths/full_data_1/1038_11255.jsonl" "b/data/dm_maths/full_data_1/1038_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1038_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the difference between -23.11825 and -6.01155?\nAnswer: 17.1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6*o = -4*o - 15, o - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 27*n**3 + 0*n + n.\nAnswer: 25*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a**(5\/2)*a))))\/a**(-17)*(a\/(a*a**(10\/7)))**39)**(-38) assuming a is positive.\nAnswer: a**(10963\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 9*w**2 + 8*w + 7. Let y be x(8). Suppose -38 - y = t. Let p be (-10)\/t - 6484\/18. What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v + 1. Let z be p(-2). Let x = z + 12. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 7*g - 4. Let c be z(7). What are the prime factors of 280\/45 - c\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-2 + 2 + 2*x) + 0*x + 0*x + x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**7\/420 + x**6\/90 - x**5\/60 - x**4\/6 - 8*x**3\/3 + 4*x - 20. Let u(n) be the third derivative of w(n). Factor u(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 4:23 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (378\/72)\/(6\/80). What is the greatest common factor of s and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -114 in descending order.\nAnswer: 5, -12, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*l*q**3*t**2 - 4872*l*q**3 - 416*l*q + 476878*l*t - 2*l + 4 wrt t?\nAnswer: -66*l*q**3*t + 476878*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24333?\nAnswer: 3, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 57*w + 3. Let m be o(1). Let p be m\/35*(-3)\/((-30)\/35). Solve 0 = 9*b - 6*b + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 + 5*m - 6. Suppose -z + 10 = -3*z. Is y(z) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1760020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 72. Suppose -v = 4*i + 140 + n, -5*v = -3*i - 168. Let b = -51 - i. Solve 0*j + 2*j + 10 = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083670 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631.482*-33.\nAnswer: -20838.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 1, y: 1, e: 2, c: 1}. What is prob of sequence cm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 1, c: 3, a: 3, q: 3, n: 2}. Give prob of sequence rqcc.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38789*p - 30*p**2 - 38789*p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4548939 by -1.\nAnswer: -4548939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 19 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5295 and 1?\nAnswer: 5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1, -3 in ascending order.\nAnswer: -32, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**2 + 7*j**2 + j + 2 + 7*j**2 + 0. Let g be l(-1). Sort -5, g, 3 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 63 - 5. Is (-264 + 1)*(k - 18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -39.1, -2, 263?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -224*b + 2437. What is i(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*g + 2745 = 557*g + 712*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 26245803*d**2.\nAnswer: -3*d**2*(d - 8748601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 4, y: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/((-1008)\/960))\/((-4)\/(-14)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -248, -246, -244, -242, -240?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8344.66 + -8618. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 7 = -j, -2*j + 165 = n + 178 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 5*b - b)*(-30 + 8 + 5) + (2 - 5 + 1)*(-2*b + 2*b + b) to n + d*b and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/45 + (-41)\/200. Let c = l + -3\/25. Let h be (2\/(-4))\/(363\/132). Put 1\/5, -2, c, h in decreasing order.\nAnswer: 1\/5, c, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11 and 5\/5 + (-82)\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l\/l**(1\/22))\/l)))\/(l**(-1\/11)*l) assuming l is positive.\nAnswer: l**(-43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 4*(3 + -2). Let w be z\/14 - 36\/77. What is the second smallest value in 3, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 986.93 and 1.7?\nAnswer: 1677.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -17, 0.4, 1, -31, 5824, -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1455072 and 506112?\nAnswer: 11640576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 5*h. Let a be z(0). Solve -19*n + 14*n - 30 = a for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1262*t**2*y**4 - 1505*t**2*y**2 wrt y?\nAnswer: 30288*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*a + 35, 5*u - 3*u = -a + 16. Let y = 5 - u. Let q = -34.7 - -35. Sort q, y, 5.\nAnswer: y, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -3\/4 (c) 1 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3532 is divided by 363?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, z: 1, k: 3, j: 1, b: 6}. What is prob of picking 2 k and 1 t?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 1 (b) -0.4 (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3209515032 to the nearest integer?\nAnswer: 56653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1621331 + 201?\nAnswer: 1621532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 580 and 90?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s**4 - 22 + 9*s**4 + 20 - s**3 - 44*s to u*s + m + y*s**4 + f*s**2 + h*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {l: 2, s: 11, m: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*h + 158 = 0, 138 = 2*o + 2*o - 2*h. Suppose o = 4*q - 287. Is q a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 792732, 792677, 792586, 792459, 792296, 792097?\nAnswer: 791862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2740 divided by -140990.\nAnswer: -274\/14099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69820594829838 - 69820610355513.9999796. Let b = -15525644 - t. Let p = -32 + b. What is p rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 2 + (-78)\/(-2). Suppose -q*v + 0*v = -4*v. Factor v*r - 1\/10*r**3 + 1\/2*r**4 + 0 - 1\/10*r**2 - 3\/10*r**5.\nAnswer: -r**2*(r - 1)**2*(3*r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 170*l - 2259. Determine w(-16).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72878\/27 - 2697. Find the common denominator of -28\/3687 and s.\nAnswer: 33183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -714 - -720. Solve r*t - 10 = 11*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 2. Let t(u) = 2*u + 2. Let x(y) = 2*t(y) + 3*v(y). Let q be x(4). Let b = 261 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*q - 5*s, -2*q + 5*s = 4*s + 19. Let o be (-42)\/q*(-6)\/(-8)*2. Let x be -2 - ((-7)\/1 + -2). Is o at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148 - 53 - 99 - 164 - 379)*(2*a + 0*a - 4*a) to m + q*a and give q.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (8 - 9) + (-6 + 1 + -19 - -14)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 3\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12800779 and 41\/187.\nAnswer: 140808569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 53*f = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1113504m to kilometers.\nAnswer: 0.0001113504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -120 - 113 + 0*t**2 + 33 + t**2. Let u be g(0). Round u to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**6\/9 + 8*d**5\/15 - 19*d**4\/9 + 4*d**3\/3 + 17*d - 2. Determine m, given that b(m) = 0.\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r**(2\/11))\/(r*r*r**(-1)\/r))**(2\/25))**(-32))**(6\/31) assuming r is positive.\nAnswer: r**(-9216\/8525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337188, 674383, 1011578?\nAnswer: 1348773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-4)*(5 + -3). Let u = 12 + s. Let g(t) = 2*t - 2. Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/11 + (-2)\/(-11). What is the second derivative of 6*i + 4*i - l*i - 3*i**4 - 7*i wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i + 475. Give r(-32).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 59590*a**2 + 10217280*a.\nAnswer: 5*a*(a + 174)*(a + 11744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 108 = -4*z - 91, 3*a - z + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (855\/76)\/(-9) + 9\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(((-16)\/24)\/(4\/30))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let d(b) = -1 - 1 + 2*b + 5 + 4*b**2 - a. What is d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 4, v: 2, s: 9}. Give prob of picking 2 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 24*v - 22*v + 26 = 0, 2*v = -2*t + 28. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*i + 262*i - 129*i**2 - 86*i - 88*i wrt i?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147073 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 8. Suppose -3*f = -y*f, 5*f = 5*q. Suppose q = c - 5*c. Solve 0 = 4*r + j + 7, -4*j + 2 = r - c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose -9*f = -0*f - 27. Suppose 3*z = -2*m + 2, 0 = -f*z - 3*m - 0 + 6. Put 5, z, g in decreasing order.\nAnswer: 5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = -2*u, -3 + 1 = -u. Suppose n = -4*d - 3*c + 173 + 293, c + 474 = 4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 + 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 3, 6 in increasing order.\nAnswer: -5, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65938 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 668153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263 + -254. Calculate the greatest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from zlzlzefczlei.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 + 120 + 45)*(-r**2 + 32*r**2 + 5*r**2) to n*r**2 + g + o*r and give n.\nAnswer: 8604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-25\/4)*w)\/(w**(21\/2)\/w) assuming w is positive.\nAnswer: w**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = 0. Suppose z*i = -i. Solve -5*k - 5 = -i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 587658 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380364 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-318)\/(-212)*(-4)\/(-6))\/(1\/(-11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n)\/n**(1\/13) assuming n is positive.\nAnswer: n**(155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1\/8, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 219. Let h = 19 + 60. Let z = h - x. Which is the smallest value? (a) -4 (b) 2 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 9*a**2 + 9*a - 13. Determine k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 - 285. Put 3\/5, s, 0.29 in descending order.\nAnswer: 3\/5, 0.29, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23827336 * -1.1\nAnswer: -26210069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -13.1 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(-24)\/(-12). Which is the nearest to g? (a) 2\/9 (b) 1\/3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 - 21*x - 581. List the prime factors of k(46).\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k - 3*x = 118*k - 24, -4*k - 3*x = -33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:55 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msms. Give prob of sequence ssm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 6*l - 9. Let p be q(-4). Let f be (21\/9)\/(p\/(-21)). Suppose -f + 239 = 5*d. Calculate the remainder when d is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 774 and 38717802?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxjgnjj. Give prob of sequence jnxj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/60 - a**3\/3 - 1061*a**2. Let b(m) = m**3 + m**2 + 2. What is -4*b(x) - 3*t(x)?\nAnswer: 2*x**3 - 4*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39805 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15844.5 * 1166.\nAnswer: -18474687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 4*w - 2. Let f(m) = -m**3 + m**2 + m. Give -a(o) + 3*f(o).\nAnswer: -3*o**3 + 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1715 - 157 = 116*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30270)\/(-2052) + ((-1122)\/(-297))\/17 + -15?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -568 or -575?\nAnswer: -575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxhu when four letters picked without replacement from {h: 4, x: 5, u: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.94 - 0.06. Let x be 6*(2\/1 + 5\/(-10)). Let v be (-5)\/9 + 3\/x. Which is the nearest to g? (a) -0.5 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*m*r + f**2*r**3 - 3*f*m*r**3 + 5*f*m*r**2 - 34*m**2*r**3 + m**2 - 3*m*r wrt r?\nAnswer: 6*f**2 - 18*f*m - 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -251. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 37. Suppose 2*u + 6 = h*u. Let y(b) = b**3 - b**2 - 2*b + 2. Let o be y(u). Which is smaller: o or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -355*c - 4*c**3 + 4*c**2 - c**3 + 351*c - 4 + 12*c**3. Let j = -141 + 126. Let i(m) = 27*m**3 + 15*m**2 - 15*m - 15. Give j*v(n) + 4*i(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/11 (b) -1\/4 (c) 24 (d) 2 (e) 2\/3 (f) 3 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 6*m + 3. Let o(t) = -7*t**2 + 13*t + 7. Suppose 0 = v - 2*v - 4*g - 11, -v - 1 = 2*g. Calculate v*a(c) - 4*o(c).\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42357, 169065, 380127, 675537, 1055289, 1519377, 2067795, 2700537?\nAnswer: 3417597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 100*f**2 - 975*f + 47. What is i(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 39. Let y be -2 + (-2 - -15 - 1). Calculate the highest common factor of o and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11782 + 11896. Solve -6*p + 156 = n for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 123. Let h(u) = -2*u**2. Calculate w(h(y)).\nAnswer: -2*y**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80421.\nAnswer: 3, 11, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001001000 + 10001?\nAnswer: 11010001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, 1, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112)*2*4 + (1*(-2 + sqrt(112)) - sqrt(112)) + 3*(sqrt(112) - (sqrt(112) + sqrt(112) + sqrt(112)*3 + -2 + sqrt(112))))**2.\nAnswer: -56*sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 7*i**5\/12 - 2*i**2. Let o(h) be the third derivative of -h**5\/60 + 1791*h**2. Determine o(m(w)).\nAnswer: -1225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -80.957 minus -16.22?\nAnswer: -64.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n*n**(2\/9)*n**(4\/3)\/(n\/(n\/n**(-1))))\/((n\/(n\/n**0*n))**(4\/15)*(n\/(n*n\/((n\/(n*n**(1\/4)))\/n*n)))**(-24)) assuming n is positive.\nAnswer: n**(-8021\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 - 8577*a**3 - 961229*a**2\/4 - 1536588*a + 1785472 = 0. Calculate a.\nAnswer: -16, -13, 1, 34336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-162)\/21 - (-4)\/(-14). Let a(t) = -3 + 31*t + t**2 + 26*t + 30*t - 80*t - 5. Determine a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24377826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1673553767 + 1673560982.995987. Let a = u - 7216. Round a to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/810 and 14\/2325.\nAnswer: 125550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1036 (b) 1\/2 (c) 2 (d) -0.5 (e) 11 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/9, 5, -1\/3, -2\/7, 210.67, -2, -58?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q**3 + 4*q**2. Let x(u) = -u**3 - u**2. Let r(b) = -3*b + 47. Let d be r(16). Calculate d*o(g) - 4*x(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/((-5)\/(-4155)). Let c = d - 165. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393488 divided by -170?\nAnswer: -1196744\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*y = 0, -67*k + 3*y + 3 = -63*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 - (0 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 7. What is the smallest common multiple of b and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.730539 to 2 dps.\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1366423 + 5?\nAnswer: -1366415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 4*x = 3*b + 6, 2*x = 5*b - 9. Suppose -x*y + 82 = 10. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (46 + -21 + 22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10*c = 165. Let s = 11 + -24. Let w(y) = -y + 6. What is the remainder when w(s) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 988 and 736.\nAnswer: 181792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-35)\/(60\/96*8))\/(-1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 55206*w - 1658880.\nAnswer: 3*(w - 30)*(w + 18432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02960903 plus -6.633?\nAnswer: -6.60339097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5304 less than -0.0353?\nAnswer: 5303.9647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*473\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223869460*s - 94866035 wrt s.\nAnswer: 223869460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201.9878 - 202. Let j = z - -2.0122. Which is the biggest value? (a) 0.4 (b) 0.07 (c) j (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10483342.\nAnswer: 2, 127, 149, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 86. What is v(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 81.194+5604082.68\nAnswer: 5604163.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h**3 + 13*h**2 + 35*h + 22. Let w(a) = 5*a**3 - 4*a**2 - 12*a - 7. Let d(g) = -6*m(g) - 17*w(g). What are the prime factors of d(-10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 5*s - 6*s)*(2 + s**2 - 2)*(-17 + 17 - 2*s) to the form z*s**4 + r*s**2 + h*s + y*s**3 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -497587078, -497587077, -497587076, -497587075, -497587074?\n\"Answer: u - 497587079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 7 = 55885*h - 55887*h, 41 = j + 4*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -45.6307. Let s = i + -0.63. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 3, -42683 in decreasing order.\nAnswer: 3, 3\/4, -42683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**2 - d - d**3)*(0 + 0 - 2)*(320 + 4*d - 320).\nAnswer: 8*d**4 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 10) to base 13.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-20)\/(-9)))\/((-81)\/27).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 - (-19354 + 19339)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 43, -3, 227, -5, 1223 in descending order.\nAnswer: 1223, 227, 43, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2607 + 3071 = 17*z. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4\/9 (b) 3 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:06 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z = -23*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i + 3*i)*(-i - 2*i + 2*i - 2*i + 0 + 0 + (0 - 2 - 1)*(2*i - 4 + 4) + 3*i - 2*i - 3*i)*(0*i - i**3 + 0*i).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23944 or 23947?\nAnswer: 23944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 0.12, 1, 0.1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 490 + -468. Suppose -4*t + 3*x - 14 = 0, -2*x + 14 - 3 = -3*t. Calculate the least common multiple of 6 and ((-6)\/t)\/(r\/55).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45752872.9 to the nearest 100000.\nAnswer: 45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18994393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + 25*d + 47. Determine x(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 266 + 266.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + 45\/(-4). Is (n\/(-33))\/((-2)\/(-258)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 12. Suppose -f + 4*f = -p. What is the remainder when 54 is divided by (-14)\/3*(-5 - f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k = 57*k - 3465. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 23*g**2 + 17*g + 6. What is the hundreds digit of u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8729764 + -2.873. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 7*k**2 + 9*k - 7. Let x be g(4). Solve -t + 2*t + 3*c = 19, 3*t + x = 5*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93954 and 53688?\nAnswer: 375816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 32 = y + 4*y, -15 = -3*r - 3*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5866278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17))**(-44)\/((r\/r**(-6\/19))\/r**6) assuming r is positive.\nAnswer: r**(-159\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-136)\/39 - 0. Let x = -10\/3 + o. Let y = 7 + -6. What is the nearest to y in x, -0.2, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/(((b**1\/b)\/b)\/b))\/b*b))\/(b\/(b**0*b)))\/(b**(-1\/7)\/(b**(1\/7)*b)) assuming b is positive.\nAnswer: b**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 170\/45 + 4\/18. Suppose -u*q = -6*q + 18. Solve 3*o = 6*o + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - l - 4. Suppose 6*q - 15 = 3*q. List the prime factors of z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122111 + 1?\nAnswer: -122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*g + 177*g - 918*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.9 + -97. Let r = -11.2 - f. Let x = r + 8.1000002. Round x to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -4*(sqrt(2) + (-2*sqrt(2) - sqrt(2))) + sqrt(198)\/sqrt(11))*-4*-3 + 1.\nAnswer: 1 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -25*h + 127. Let j be f(-5). Let s be -1 + -76*(-3)\/j. Let c = -0.3 + -4.7. What is the closest to 0.1 in c, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*f = 363*f - 37240. What are the prime factors of f?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdds when four letters picked without replacement from shshhhhssd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.105 + 0.105. Put m, -4, -2\/11 in decreasing order.\nAnswer: m, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 137*q**2 - 3*q + 8. Calculate the remainder when w(2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/4, 1, 5\/7 in descending order.\nAnswer: 1, 5\/7, 1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12150183.\nAnswer: 3, 163, 24847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/39*(-5)\/((-75)\/27)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -202 and -56963.\nAnswer: 11506526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 6. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110100011100010100011 (base 2) to base 16\nAnswer: -3a38a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let q = 7 + -2. Let f(h) = -h**2 - q*h - 8 + 4*h + 6 + h**3. Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/256 and 45\/50704?\nAnswer: 811264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 301 - 6*x**3 - 234 - 65 - 2.\nAnswer: -6*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/1304 (b) 2003 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 - m - 3. Suppose 0 - 12 = -4*o. Let f be g(o). Suppose 0 = f*v - 5*v + 10. Solve -h - 4*b + 16 = h, -v*h = b - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*h = -9*p - 49, -p - 9 = -4*h. Is 13 a factor of 25\/(5 - (-64)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 - 8119*q + 65200. Calculate f(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1677, -3348, -5007, -6648, -8265, -9852?\n\"Answer: u**3 - 1678*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/20 - 15\/(-12) - (-14)\/315.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -5, 204, -3 in decreasing order.\nAnswer: 204, 7, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**5 + 18*c**4 - 2*c**3.\nAnswer: -2*c**3*(c - 1)*(8*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52090 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 3\/2, 41, -2, 0.3?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0*u**3 + 0*u**2 + 0 - 1\/7*u**7 + 0*u**5 + 0*u**6 + 5\/12*u**4 + 3*u. Find the third derivative of a(c) wrt c.\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7*s = 3*s + 24, 0 = 2*s. Are f and 13\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 30. Suppose -5*s = -4*k + 8 + 1, s = 3*k - a. Let z = k + -4. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-27) - 2\/(144\/(-34)). What is the closest to -2\/11 in -1, g, 16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 13. Let c = -4 + i. Suppose 5*o - 4*v = 45, -3*o + 27 = -0*o + c*v. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 459 - 363. What is the smallest common multiple of 18 and g?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -4. Let v = 0 + q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-381)\/(-9) - 22\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 30*q**3 + 0*q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -4*c**2 + 0 + 1\/20*c**5 + 5*c + 1\/8*c**4 - c**3. Let d(i) be the first derivative of b(i). Suppose d(n) = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4600, 9, -2\/11 in decreasing order.\nAnswer: 4600, 9, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2268 divided by 756.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4085)\/(-342))\/(-215))\/(2\/(-63))*-12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 4*h + 1. Let p be s(3). Let j be (-20)\/(-8)*4\/10. Suppose 0 = -g - 5 + j. Are p and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 184 = 5*k. Let l = -37 - k. Let i(r) = r**3 + 7*r**2 - 7*r - 3. Calculate the remainder when i(-7) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 3*z - 4. Let s be u(-3). Suppose -5*b - 3*w + 74 = 10, 0 = 5*b - s*w - 80. Let l(o) = 2*o**2 - b*o + 14*o. Let q(h) = -4*h. What is q(l(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/13 (b) -1\/7 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 53*a**2 + 295*a + 274. What is q(-58)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9653*z - 5123*z - 200 - 4873*z wrt z.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 0*c**3 - c**3 + (-c**2 - 2 + 2)*(21*c - 17*c + 18*c) + (-233 + 2*c**2 + 233)*(4*c + 4*c - 6*c).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 17 (c) -4\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/((-4)\/5520*-2). Suppose -6*k + t = -k. Let o = -781 + k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**4)\/g)\/(g**0\/g))**(-13))**21 assuming g is positive.\nAnswer: g**819","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -69. Suppose 0 = 2*h + 4*i - 2702, u*h + 2*h + i = 5439. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgh when three letters picked without replacement from zzrirahrzhgr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*g = 15, -5*g = 4*c - 0*c + 7. Let z = 24 - 20. Suppose -s + 3*d = -15, -z*d = 4*s - d. Solve c*i = -5*o - 17, 0*o + s = -o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25200 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 31 + 25 = 4*j, 0 = 3*j. Let f = n - -89. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-6)\/(s**(1\/6)*s**(-3)\/s) assuming s is positive.\nAnswer: s**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, -147, -305, -469, -639, -815?\n\"Answer: -3*x**2 - 143*x + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(4\/(-6))\/(-1). Let j be (-2)\/5 - 192\/(-80). Suppose b + 4*b + i = 0, -b + j*i = 0. Sort -5, h, b in descending order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 + 3*q**3 - 10*q + 8*q**2 - 2*q**2 - 16. Let o(t) = 2*t**3 + 12*t**2 - 7*t - 11. Let z(f) = 5*k(f) - 8*o(f). List the prime factors of z(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27335 and 5894.\nAnswer: 23016070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Let f be 3059\/38 - (-1)\/2. Let b be 18\/f*12\/g. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, h: 6, u: 1, q: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -92*o**2 - 2 + 74*o - 62*o - 6. Suppose 0 = 3*v - 5*b - 5 - 4, -17 = -4*v + 5*b. Let r be i(v). Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338363 is divided by 2802.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 2*u - 4, -129*p + 133*p - 32 = 4*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97237044 by -40164.\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2) - 91\/(-49). Let q(h) = -h**3 + 4*h**2 + 5*h - 1. Let x be q(5). Which is the biggest value? (a) x (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 1928813?\nAnswer: -1928807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1780.720107 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by ((-704)\/(-20))\/(124\/310).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -85. Let k(t) be the second derivative of t**5\/10 + 13*t**4\/12 + 5*t**3\/6 + 3*t**2 - 18*t. What is the remainder when k(-6) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26098244 to the power of 1\/2, to the nearest integer?\nAnswer: 5109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o + 113*o - 36*o - 12*o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -72, -104, -150, -216?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1306*a - 3939*a + 1311*a + 6*a**2 + 1322*a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -303 * 927.\nAnswer: -280881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -405 + 772. List the prime factors of d.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22891 and 41620?\nAnswer: 457820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -42328?\nAnswer: 42331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 17. Let h be k(4). Let s be (-4)\/h - (-6 + 8). Which is the closest to 2\/3? (a) -0.4 (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 144, 158, 182, 222?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-155))\/(330\/22165*91).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 12*p**2 - 25*p + 13. Give q(14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 9*y - 10*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 504716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 962775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/17 - 6*g**3\/17 - 2*g**2\/17 + 6*g\/17 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-5 - (4 - 13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 14. Let h be (3\/(-1))\/(6\/u). Solve 2*k + m = 8, -3*m + h*m = -6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9196512 and 121056?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 4*m**4 + 4*m**4 - 2*m**2 + (2*m**3 - 4*m + 4*m)*(-4*m + 2*m + 0*m) + 4*m**3 - 4*m**3 - 5*m**4 + m**4 - 2*m + 2*m.\nAnswer: -9*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.129 - -2.539. Let y = f - -63. Round y to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 37 - 127. Let x = d + -25. Solve 0 = o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*f + 80 = -9*a - 4*f, 32*f = -5*a + 29*f - 28 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.36 - 0.14. Let j be 13\/3 + (-2)\/6. What is the biggest value in 2\/5, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152593148 minus 0.046?\nAnswer: 152593147.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/624)\/((14\/(-90))\/7).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383 + -377. Solve 4*s + 2*o + 4 = 0, -4*s - 3*o + 0*o - v = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2398*t + 7197*t - 2394*t - 2396*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 6*l + 26 + 3*l - 66 + 24.\nAnswer: 7*l - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aghh when four letters picked without replacement from {h: 2, a: 4, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (312 + 317 - 341)*(-13*j**3 + 6*j**3 - 9*j**3).\nAnswer: -4608*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhj when three letters picked without replacement from ejulhueeehqhuu.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714314252 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 7*w - 38. Let z = w - 32. Let v(s) = s**3 - 7*s**2 + 9*s - 7. Give v(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -12, -1, 3, 2, -183 in increasing order.\nAnswer: -183, -12, -7, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61830897 and 705.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + ((sqrt(30)\/sqrt(2)*6)\/(sqrt(20)*-1))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.206 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2437954761 + -2437954759.954998251. Let k = w + -1.045. What is k rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (-27 - -31) + (0 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -89*i + 55*i - 2 + 33*i. Let j(t) = -3*t - 9. Let z(c) = -j(c) + 2*m(c). What is z(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/16 and -99\/808?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(-5740))\/((-18)\/63)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let v be 1315\/(-526)*(2 - 0). Give h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 3*l = -0 + 28, -2*v = -l + 8. Put 1\/5, v, 0.8 in descending order.\nAnswer: 0.8, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/5 (c) -0.5 (d) 77 (e) -1 (f) 5 (g) -5092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38757690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 6*m**2 - m + 12. What is the units digit of i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, -13, -1, 317 in ascending order.\nAnswer: -14, -13, -1, 0, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023148 (base 14) to base 16.\nAnswer: -74318c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24095, 48240, 72383, 96524?\nAnswer: 120663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 12.1 in descending order.\nAnswer: 12.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/10 + (-12)\/30. Let l be (3\/(-3))\/((-2)\/14). Let y = j + l. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1052*a - 510*a + 337*a - 126175 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*j - 14, -2*j + 4*p + 0*p = -20. Suppose j*m + 2*d - 107 = -m, -191 = -5*m + 3*d. Suppose 4*h - 27 - m = 0. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -69, 107 in increasing order.\nAnswer: -69, -5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 51 = 11*d. Let v(c) = 4*c - 60. Let u(j) = -9*j + 119. Let k(x) = d*u(x) - 7*v(x). Let l(f) = 3*f. What is k(l(w))?\nAnswer: -3*w + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-2)*(-9)\/18. Let l be ((-12)\/(-4))\/b - -3. Suppose 0 + 2*s + 6*s + l*s**2 + 5 - 1 = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90, -236, -372, -492, -590, -660, -696, -692?\n\"Answer: d**3 - d**2 - 150*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 - 3*o**4 - 42*o**3 - 69*o**2 - 63*o\/2 = 0. Calculate o.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:15 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8 + 5*o - 6*o + o + 6*o - 109376*o**2. Let l be a(4). What is l rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002571 to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -78342 (base 9) in base 14?\nAnswer: -14d72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/9)*w*w*w**0)\/(w\/((w**0*w)\/w))**(5\/18) assuming w is positive.\nAnswer: w**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 735614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1952640 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 - 1430*q**3*w**3 - 2*q**2*w**3 - 12*q**2*w + 3*q*w wrt q?\nAnswer: 48*q - 8580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - (-2 - (-7 - 10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8142, -2931, 2280?\n\"Answer: 5211*h - 13353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/2 (c) 358 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g. Suppose 3*l - 35 = -5*f, 69*f + 4*l + 21 = 72*f. Let i(o) = 11*o - 1. Determine f*u(c) - 4*i(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 - (-7 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 25722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 542439 = 10*h - 2036313. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315005 is divided by 5498.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = 4*d, -4*o + 8*d + 40 = 3*d. Suppose 39 + o = 3*c. Calculate the remainder when 84 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*r - 5*y, 0 = -196*r + 81*r + 100*r - 4*y + 83 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10391 + -10143. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v - 1680 = -2*v + 61*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -4336430.\nAnswer: -4336429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 81\/77, 5, 3, -46, 0.2 in decreasing order.\nAnswer: 5, 3, 81\/77, 0.2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 30. Solve 26*q - 4 = i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 92*b - 1960. Let f be i(-35). Let j be ((-3)\/2)\/((-12)\/304). Is j greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, j: 1}. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2511709, -2511715, -2511721, -2511727, -2511733, -2511739?\nAnswer: -2511745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16742.666 to the nearest 100.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211755 + -3506239289\/16558. Let h be (368412\/(-112))\/(1\/((-32)\/(-16558))). Let s = h - r. What is the common denominator of 29\/10 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*n - 2*n - 6935, -n - 5560 = -4*p. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/330 and 59\/759?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - (-15 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4861718 or -4861713?\nAnswer: -4861718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**3*t**5 + 4*r**3*t - 10*r*t**6 - 47*r*t**2 wrt t?\nAnswer: -60*r**3*t**2 - 1200*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -193*x + 190*x + 3366. Suppose -8*b - x + 21594 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4*(-4 + 4). Let a = -9 - x. Sort 2, a, -2.\nAnswer: a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 521 - -2?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/20 - q**4\/6 - q**3\/3 - 3*q**2\/2 + q. Let r = -16 - -19. Give d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 20. Let d(o) = -o + 7. Let r(s) = 8*d(s) + 3*u(s). Give r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84970 and 7512652.\nAnswer: 7427682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-3\/10)*x))\/x)**39\/(x\/(x**(-3\/2)*x)*x*x*x**(7\/5)))**(-47) assuming x is positive.\nAnswer: x**(7567\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9879 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: Which is smaller: -1\/232242502 or 0?\nAnswer: -1\/232242502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brgb when four letters picked without replacement from {r: 1, g: 5, b: 3}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, -11, -5, -0.5, -19 in decreasing order.\nAnswer: -0.1, -0.5, -5, -6, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*p - 309*p + l, -3*p = -27*l + 72 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 11) to base 4\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d - 5540. Let k(z) = -3*z - 1847. What is -2*c(p) + 7*k(p)?\nAnswer: p - 1849","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 40, 21, 0, 10 in descending order.\nAnswer: 40, 21, 10, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1\/2*u**2 + 0 + 5\/6*u**3 - 130*u. Calculate q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb32 (base 13) in base 4?\nAnswer: 31313321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -258*(-2 - 8037\/(-4017)). Let h = w + 4\/103. Let p = -119 - -118.5. Which is the nearest to -1\/4? (a) -5 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -743.3 and -193471055.\nAnswer: -193471798.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 4*q + 3*q - q - 7*q + 7. Give n(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1734536047 to four dps.\nAnswer: -0.1735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*n - 204, -2 = 4*k + 10. Let w be (n\/(-28))\/((-3)\/148). Calculate the greatest common factor of w and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**3\/6 + 4*o**2 + 3*o. Let k(p) = -p + 4. What is the lowest common multiple of k(-6) and q(6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 80*h**5 + 252*h**4 + 180*h**3 + 36*h**2 + 28. Let f(i) = 9*i**5 + 28*i**4 + 20*i**3 + 4*i**2 + 3. Let u(t) = 28*f(t) - 3*r(t). Solve u(q) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*o**3 + 3*o - 157?\nAnswer: -111*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let j = -96 - -477\/5. Which is the second biggest value? (a) o (b) 3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 383 + 0\/(6 + -3). Let o = -383 + b. Solve -3*g + 2*j - 10 = o, -4 + 18 = -3*g + 4*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/312 and -7\/2757.\nAnswer: 286728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*c**2*v**3 - 303*c*v**3 wrt c?\nAnswer: -266*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, -112, -0.03, 0.4, -240?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*((-17)\/(-119) + (-25)\/28). Let s(t) = t**3 + 10*t**2 - 24*t + 3. Let b be s(o). Calculate the greatest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/((-20)\/18*(-27)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.1. Suppose -228*g + 865 + 284 = 237. Which is the fourth smallest value? (a) t (b) 0.3 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 64*t\/9 + 136\/9.\nAnswer: -2*(t - 34)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -165250 divided by -21?\nAnswer: 165250\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 + -336. Let t be 10\/(-15)*63\/(-4). Let r = 41\/4 - t. Which is the nearest to g? (a) -0.2 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 + 12*b**3 - b**3 + (4*b**2 + b**2 + 3*b**2)*(-2*b + 0*b + b) to the form p + j*b**2 + c*b + v*b**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 72*z + z**2 - 1 - 72*z. Let u(k) = -k**3 + 8*k**2 + k. Let b(v) = u(v) - 5*w(v). Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/10)\/(4\/(-40)). Let f be s\/12 - 4\/6. Is 1\/4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 divided by 29\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*x + x - 12 = 0, g = 4*x - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/505 and 19\/4293005.\nAnswer: 4293005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -21.2. Let h = j + -0.2. What is the biggest value in -1, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 + 24*n**2 - 21*n**2. Let d(x) = -43*x**2. What is k(d(l))?\nAnswer: -11094*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6791666 from -0.1.\nAnswer: -6791666.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15 + 3*n + 12*n + 4*n - 20. Suppose 3*r - 14 = 13. Calculate the remainder when f(1) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524\/(-22) - -2 - (-5110)\/(-28105)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/12*-1*-5*(-351)\/(-585)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8450, 16893, 25336, 33779?\n\"Answer: 8443*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -25. Suppose -3*v - 26 = -5*j - 2*v, v = -j + 10. Suppose -5*p + j = -2*p. Solve -a = g + 4, 0*a - p*g - 5 = q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -5 (c) -0.5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 796 - 457. Suppose -3*m + 5*q + n + 326 = 0, -2 = -q. Suppose -m - 303 = -6*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:50 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6074475 and 0.1?\nAnswer: -607447.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/72)\/(6\/20)*(-80)\/840?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 13*v + 1590. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 107. Suppose l*c - 11136000 = 11*c. Round c to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(756)*6)\/(sqrt(588)*-2 + sqrt(588)))\/(3*-4*(sqrt(324) + -2*sqrt(324))).\nAnswer: -sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -15\/3713?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 - -3)) + -9 - (87 - 88)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -113. Let n be (-10)\/((-30)\/c) + 25. Is n != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-182)*((-25)\/(-2))\/(-25).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/13 - 1470740*a\/13 + 270384518450\/13 = 0.\nAnswer: 367685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 5*q + 1. Let m(z) = -5*z**2 - 15*z + 2. Let g(r) = 8*k(r) - 3*m(r). Let t be g(4). Solve 2*o - 6 = -2*o - 5*v, 0 = o - v - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 4*o + 7. Calculate the remainder when -1*(0 - 2) + 1 is divided by l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19389 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5218201\/182 - 28672. What is the common denominator of z and (-807)\/(-4304) + (-541)\/624?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 74 = 4*z, 3*f - 59 + 1 = -5*z - 70 - 39 - 43 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 + 176*y + 872. Determine j(-5).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0, 4, 0.4, 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1283 + 485. Let b = d + 875.4. Let t = b - 77. What is the third biggest value in 2, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + c8?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.133 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - 23?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0187 - 3.9813. Let o = 0.2 - -0.3. Which is the second smallest value? (a) 0.1 (b) o (c) t (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/621*(-8 + 5)*-2\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 1295*y**3 + 36810*y**2 - 68400*y = 0.\nAnswer: -285, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*o - 4*d, -o - 991*d = -993*d + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9337057 nanometers in meters?\nAnswer: 0.0000000009337057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/9 + 50*d**2\/9 - 406*d\/9 + 1078\/9 = 0.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 38 = -4*s, 0*x + 5*x - 3*s - 11 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 441124 = -3*j, 91*d - 5*j = 89*d + 88260. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 2*z.\nAnswer: -2*z*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 812*c\/5 - 489.\nAnswer: (c - 815)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -438611381, -438611382, -438611383, -438611384, -438611385, -438611386?\n\"Answer: -o - 438611380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150 - -976960.\nAnswer: 977110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615000 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (247 - 10) + 3\/(-6)*-6. Suppose -5*r - 4*p + 237 = 0, -7*p = 5*r - 2*p - j. Let b = -41 + r. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j**3 - j**2 - j + 1. Let z(a) = -186*a**3 - 748*a**2 + 564*a - 7. Let o(q) = -9*n(q) - z(q). Find the second derivative of o(f) wrt f.\nAnswer: -18*f + 1514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4882957 is divided by 911?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3449908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 169 = -133. Let l(s) = -s**3 - 5*s**2 - 4*s + 2. Let j be l(-4). Determine d so that 2*d - h*d**2 + 5*d**j + 2*d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1997 + -3985\/2. Factor -3\/2*y**3 + 3\/2*y**4 - l*y**2 + 3\/2*y + 3.\nAnswer: 3*(y - 2)*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(2) - (sqrt(320)\/sqrt(10))**2.\nAnswer: -36 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17957 + 2043*p**3 - 36122 + 18165.\nAnswer: 2043*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 2219 - 2201. Solve i = u + 4*k, 4*u - 2*k - 2*k + 16 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 272300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/11)\/m**(-2\/13))\/((m**(-6\/7)\/m*m)\/m**(-3\/2)))**(9\/8) assuming m is positive.\nAnswer: m**(-3897\/16016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 30*k + 1782. Give f(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 0.19, -9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 1969, 6104, 14183, 27526, 47453, 75284, 112339?\nAnswer: 159938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1*sqrt(1008)*3 - 2*-1*sqrt(112))\/(-6*(sqrt(4) + sqrt(64)*4) + 2*sqrt(36) + 2*sqrt(4)*-6).\nAnswer: 2*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25546, 54473, 83402, 112333, 141266?\nAnswer: 170201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 13 - 73. Let k = -15 - -11. Let b = -2 - k. Solve -a = -b*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 328, 657, 986, 1315?\n\"Answer: 329*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1615 and 1614677.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -9) + 6 + -13 + 7. Let x = 16 - 16.1. Which is the closest to j? (a) 4\/3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddgdgggddddd. Give prob of picking 2 g and 2 d.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 66*o = 610*o - 12692 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 - -138. Suppose 6*z = 3*z + 57. Calculate the remainder when (-1)\/(p - (2 - 0))*-31 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 m, and 1 b when four letters picked without replacement from {m: 2, q: 1, b: 2, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-12)*2496\/468.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*t + 5296 + 5887 + 3205 = 0 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmummmmmmm. Give prob of sequence mm.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 215610632.2 rounded to the nearest 100000?\nAnswer: 215600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81654.04 centuries?\nAnswer: 8165404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -409654\nAnswer: 1\/204827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/12 + 1 + 9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**5 - 2*u**4 + 3*u**3 - 4*u + 2. Let p(v) = 6*v - 28*v**5 + 10*v**4 - 11 - 15*v**3 + 16*v + 22*v**5. Let y(t) = -4*p(t) - 22*z(t). Factor y(g).\nAnswer: 2*g**3*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856394269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - j**2 + j - 1. Let d be v(1). Let z be 0\/(28\/((-14)\/d)). Are -2\/113 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2\/6*-3. Let x be (-2)\/10 - 808\/(-40). Let h be 48\/(-10) - x\/(-5). Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 6:30 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25032712.\nAnswer: 2, 3129089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-36) + (-4)\/18. Suppose 10 = 3*s - 2*g + 26, -g + r = 0. Let i(n) = -n**3 + 4*n**2 - 1. Is i(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-194)\/(-873)*3\/(-2))\/((-9)\/(-27))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 9:18 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107\/339 - -2\/113. Which is the nearest to -0.2? (a) 2\/21 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 + 154*d**2 - 1560*d = 0.\nAnswer: 0, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 573*s + 155*s + 252*s + 114*s - 311*s as t*s + f and give t.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3047 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)*r**18 assuming r is positive.\nAnswer: r**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 2*t. Let r be i(-1). Let f = r + -3. What is the biggest value in f, -0.3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p**3 + 17*p**2 + 210*p - 36. Let x(i) = -27*i**3 + 34*i**2 + 419*i - 60. Let y(w) = 5*q(w) - 3*x(w). What is the second derivative of y(u) wrt u?\nAnswer: 96*u - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5 - x + 2 + 1. Let m be v(7). Calculate the smallest common multiple of 22 and (m - -3) + (-4)\/(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255762779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -78. Suppose n*h - 302 = 224. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, -21, 13.1, 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2625714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-10400)\/(-48)*30 - -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 5. Let n be t(7). Let g be (2\/(-7))\/(5 - (-64)\/(-14)). Let y be (-1)\/(-2)*(-4)\/2. What is the closest to y in n, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -9*k**8\/28 + 19*k**4\/12 - k. What is the third derivative of p(u) wrt u?\nAnswer: -2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 2\/9, -38 in descending order.\nAnswer: 2\/9, 2\/15, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 - f**4\/3 + 5*f**3\/6 - f**2\/2 + f. Let a(w) = -w**2 - 8*w - 7. Let b be a(-6). Is j(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308407*z**3 + 616804*z**3 - 308573*z**3.\nAnswer: -176*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21811 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: Suppose 5*g = -5*b + 15, 4*g = 3*b + 10 + 2. Suppose -g*k + 4*i = -3191, -4*i + 328 = 2*k - 1826. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 8*g - 343 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 39. Let v be x(-8). Let s(d) = 8*d**2 + 8*d + 6. What is the units digit of s(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 8. Let m be x(7). Let t be 3 - (-48 + 1)*m. What is the units digit of (-3)\/2 + t\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -294, -514, -822, -1218, -1702, -2274?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6354 + 6358 - 12712 + 1739*c**2 + 501*c**2.\nAnswer: 2240*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**4 - r**3 + 7*r**2 + r. Let f(c) = 765*c**4 + 3*c**3 - 21*c**2 - 3*c + 1955. Let h(s) = f(s) + 3*w(s). Find the first derivative of h(u) wrt u.\nAnswer: 3036*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-2 + 1 + -1 - (10 - 17))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -610920432 and 13164.\nAnswer: -610907268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/903? (a) 2\/3 (b) 1\/6 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8106*o**2 + 2*o + 5196. Let d(y) = -8102*y**2 + 3*y + 5193. Let r(m) = 2*d(m) - 3*v(m). Find the first derivative of r(b) wrt b.\nAnswer: 16228*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2702, -5386, -8056, -10706, -13330?\n\"Answer: p**3 + p**2 - 2694*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 53*z**2. Let c be w(-1). Let n = c + -29. Solve 0 = -2*x + 7*x - 2*f + n, 4*x = 3*f - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, w: 3, x: 3}. Give prob of picking 1 w and 2 i.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - d + 7. Let i be m(0). Let t(w) be the second derivative of w**5\/20 - 2*w**4\/3 + 4*w**3\/3 - 4*w**2 - 34*w. Give t(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - (-192)\/(-56)) + -6 + 3. Which is the nearest to 0.1? (a) 0.04 (b) z (c) -0.3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 35. Suppose -4*i = -4*s + 20, -i - s = s + 8. Let n be i\/d - 84\/(-10). Solve 0*f + n = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 4*r - 104. Let o(v) = -v + 52. Let f be o(0). Let n = r + f. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7924 + 7927. What is the fourth biggest value in b, -0.5, 0.5, -18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 16) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1877102*u + 1871335?\nAnswer: 1877102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**5 - 49*w**3 - 31*w**2 + 2*w + 2. Let q(c) = c**3 + c**2 - c. Let j(x) = -p(x) - 2*q(x). What is the third derivative of j(y) wrt y?\nAnswer: -60*y**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 233 - 232.8. What is the closest to -3\/2 in 3\/4, b, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-2\/19)))\/x)\/(x*x**4*x))\/(((x**5\/x)\/x)\/(x*x**3*x*x))*(x**1\/(x\/(x*x**(-2)\/x)))\/((x**3*x)\/x**(-2\/11)) assuming x is positive.\nAnswer: x**(-2150\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 367421 divided by -4\nAnswer: -367421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 90 - 94 = 0. Solve -4*h + x - 5 = 0, 2*h - 2*x = -5*x + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.22 in 3, 1.2, 12, -0.1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 789199.026.\nAnswer: 789198.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19)\/((-2)\/(4 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let m(l) = l**3 + l**2 + l. Let z(a) = -7*a**2. Let k(t) = 6*t**2. Let i(v) = 5*k(v) + 4*z(v). Let x(y) = q*i(y) - 2*m(y). Solve x(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455\/34 - 27\/2. Which is the second biggest value? (a) n (b) 21\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29 + 32)\/((308\/6)\/(16\/24)). Which is the fourth biggest value? (a) -0.1 (b) 4 (c) f (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20311276?\nAnswer: 2, 5077819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15014 (base 6) in base 4?\nAnswer: -211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i - 345. Suppose 4*h - i - 982 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**3 + 1. Calculate s(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -1\/33240 (c) -0.4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5348 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 + -505. Let t = z + 68. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20 - 9 - (-63)\/(-18). Let x(u) be the first derivative of 0*u - b*u**2 + 5. Let v(f) = -f**2. Calculate v(x(l)).\nAnswer: -225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234.2 - -78. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = 2053*j - 2055*j, -6*u - 29 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -54610, 5, 0 in descending order.\nAnswer: 5, 0, -1, -54610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1684221384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -235914.4101 rounded to the nearest ten?\nAnswer: -235910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, v: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 463*a - 6 - 2 - 2 + 23 - 9 to g*a + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 5*m**2 + 6*m - 6. Let f be l(4). Suppose 2*d + f*d - 20001982 = 2*z, z = 3*d - 15001484. Let j = 13300493 - d. Round j to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16008 + -16000. Sort -17, -0.2, 0, 1, u in decreasing order.\nAnswer: u, 1, 0, -0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.5 + 6.6. Let u = -16.8 - 0.2. Let o = 16.9 + u. Put o, t, -1.4 in ascending order.\nAnswer: -1.4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011100110100 (base 2) in base 10?\nAnswer: -165684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 10) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 146 in -5, 0.7, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23814 divided by -6?\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 15. Let y(b) = -b**2 + 5*b + 2. What is the remainder when 15 is divided by y(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115917 is divided by 35395.\nAnswer: 9732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6984 and 8536?\nAnswer: 76824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451412 divided by -26.\nAnswer: -17362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.092 + 0.1. Let h = o + -0.508. Which is the nearest to -1? (a) 5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -299\/9. Suppose -6*i = -2*i + 12. Let s be (-4)\/i*(-15)\/170. Which is the smallest value? (a) 1\/2 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 1, n: 3, a: 1}. What is prob of picking 1 y and 1 z?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r**(7\/3)*r*r))*r)\/r)\/r)**(-4\/23) assuming r is positive.\nAnswer: r**(-52\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2755 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 6:07 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 7470.\nAnswer: 97110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5))**(-41)\/((m*m**(10\/9))\/(m*m\/m**(-7\/2)*m)) assuming m is positive.\nAnswer: m**(1133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-125400)\/396)\/(-38))\/(1*3\/18)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/15 - 2\/(-1). Let p = -34 + 34.001. Let i = -2.999 - p. Sort r, i, 0.2 in increasing order.\nAnswer: i, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130825 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/(-594))\/(242\/99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmkmsssumsmsmmm?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than -677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92243*q - 1020 = 92192*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * -0.5.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + 4 + 1 + sqrt(72)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 5\/22 (b) -4 (c) -2\/7 (d) 8 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 127 * -351685\nAnswer: -44663995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3 - 7089*u**2 + 6550800*u - 1426882112 = 0.\nAnswer: -7937, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 606251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 3556*d**3 - 3157726*d**2\/3 - 2108708*d\/3 - 351649\/3.\nAnswer: -(d - 593)**2*(3*d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*j**2)*(0 + 1 + 0)*(-55 + 6 - 55) in the form k*j + i*j**2 + w and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*sqrt(320))*-5 + (-2 + -1 + sqrt(320) - (sqrt(320) + 1*sqrt(320) + 0)) + 1)**2.\nAnswer: 512*sqrt(5) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Suppose 0 = 7*v - 17 - 11. Let t(f) = -18*f - v*f - 8*f. Determine i(t(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2144861 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/(-4) - (100\/(-16) - -6). What is the remainder when -4 + 9 - l\/(2 + -3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-8))\/(12\/(-64)*-1). Let f be (6\/x)\/(254\/128 + -2). Suppose 9 = 4*g - 11. Solve 5*k - 40 = 6*l - l, g*l + f = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 2, -4*q - q - 2*i - 2*i = -3*q - 6*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -9, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 331*p**2 - 5*p + 31. Let d(m) = -992*m**2 + 14*m - 93. Let n(l) = -17*b(l) - 6*d(l). Find the second derivative of n(c) wrt c.\nAnswer: 650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1966327 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -1, -18\/5, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 + 27*i + 11. Suppose 10 + 20 = -5*v. Is 2 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -9. Suppose 5*d = -2*j - 279, 5*j - a*d + 121 = -530. What is the common denominator of 18\/(-4)*j\/90 and 33\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 - b**5\/30 - 1325*b**4\/12 - 1787*b**3\/6 + 429*b**2. Find the first derivative of w(v) wrt v.\nAnswer: 3*v**2 - 4*v - 2650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 - 2*x + 6. Suppose -3*k = k + 48. Let a be 5\/30 + (-46)\/k. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475100.5um to centimeters.\nAnswer: 47.51005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:47 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 3 = -34*q - 50 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = -4*g + 2*i - 284, 3*i = -2*g - 68 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 362337804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*v - 2, -4*g = v - 0*v + 21. Let l(b) = -8*b + 1. Let y(f) = f. What is g*y(w) - l(w)?\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 348*x + 2439. Determine j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -778, -710, -642, -574?\n\"Answer: 68*x - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 divided by 9?\nAnswer: -503\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.11 + 39. What is x rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 20*c - 21*c. What is the remainder when c is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-10))\/(2\/10). Let h be (48\/(-18))\/(4\/k). Suppose 4*t = h + 12. Solve 0 = t*s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 484100 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + (1 - 0) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1037123*d**2 + 6222695*d + 7259819.\nAnswer: (d - 1037117)*(d - 7)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -82a871?\nAnswer: -82a86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 13. Let g(o) = -8*o + 27. Let p(b) = 4*g(b) - 9*z(b). Suppose -k - 11 = -q + 3, -20 = 5*k + 5*q. List the prime factors of p(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 18896*n**2 - 2475375*n - 131 = 0.\nAnswer: -1\/18896, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r - 2*r - 6 + r + 0*r. Let j be m(-4). Let x = 25 - j. Solve -x*g = g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let s be 1*-10*(-1)\/(-2). Let o = 1630 - 1629. What is the closest to o in r, s, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 - 1124*v**2 - 78396*v + 79524 = 0.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u + 65. Give c(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3809 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 - 6*r + 7. Determine v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b - 2*y - 30, 5 = y. Suppose 5*a - 289 = 6. Suppose -4*c + b = -a. Calculate the remainder when 49 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -0*q + 5*q. What is the greatest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 451.307m?\nAnswer: 45130.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*a = -190, 0 = 3*m - 6*m + a + 141. Let o = -18 + m. Suppose o = 5*q - 2. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 - 252*m**2 + 5508*m + 405756 = 0. What is m?\nAnswer: -51, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 0 + -10 + 7. Suppose h + 3 = l*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 55*t**2 + 13*t + 2. Let a(x) = -33*x**2 - 9*x - 2. Let m(y) = 8*a(y) + 5*h(y). Let k(l) = -l**2 + 3 - l + 4*l - 4*l**2. Calculate -7*k(s) - 3*m(s).\nAnswer: 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.14, -0.2, 244\/7, 1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7715\/15 + (-2)\/(-3). Let c = 732 - b. Suppose -30519*a = -30542*a + 713. What is the highest common divisor of c and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p + 1095 + 617 = 238 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 14*i - 11. Let x be l(15). Calculate the remainder when 34 is divided by (-9*x)\/(1 + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 34 + 6. Suppose 0 = 5*g - 37 + 12. Suppose g*p + 5 = 0, 68 = 6*x - 2*x - 4*p. Calculate the greatest common divisor of n and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 3*b. Let c(y) = -y**3 - 4*y**2 - 4. Suppose 2*j - 16 = 6*j. Let t be c(j). Sort b, 3, t.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - z + 1 + 3, -5*o + 4*z - 19 = 0. Let r(p) = 15*p**2. Let l(s) = 7*s**2. Let n(y) = o*r(y) + 7*l(y). Let c(b) = 8*b**2. Determine n(c(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, 27, 82, 159, 258?\n\"Answer: 11*n**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 2*w**2 - 4*w + 8.\nAnswer: (w - 2)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)**(-48)*(u*u**(-2\/7))\/((u**(-2\/15)\/u)\/u) assuming u is positive.\nAnswer: u**(-4741\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38825 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86249.87 tonnes to nanograms.\nAnswer: 86249870000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/11 + 128*b**4\/11 + 5286*b**3\/11 + 10044*b**2\/11 = 0. What is b?\nAnswer: -27, -2, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1282*l - 1431*l - 3*x = 632, 36 = -3*l - 2*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01858 plus -1456?\nAnswer: -1455.98142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/10 + n**4\/9 + n**3\/9 + 2*n. Determine i so that x(i) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 48*n - 421. Calculate u(-10).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-100)*10\/(-3). Let a be (-7)\/(-3) + (-3)\/9. Suppose -a*v - 2 = -0*v. Is w > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 10 = 3*q, -2*q - q - 2*v - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69060 is divided by 17250.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x - 40*x = 1053. Solve -60*t - 156*t**2 - 3 + x*t**2 - 9 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 17, -33, -145, 0.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4 + 656*b**3 + 1178*b**2 - 41076*b = 0.\nAnswer: -326, -9, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 100596, 4, -13, -3 in descending order.\nAnswer: 100596, 4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*y + 1 = -286*y. Let x(v) = v. Let d be x(-1). Let c = d + 3. Sort -4, c, y in decreasing order.\nAnswer: c, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (-3 - (-1 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 536244089 + 536244089.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) + (sqrt(968)*2 - sqrt(968)) + 3)**2.\nAnswer: 264*sqrt(2) + 3881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(((6678\/(-168))\/(-53))\/(1\/(-2)*3))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 20090*f\/9 + 40204\/3.\nAnswer: -2*(f - 10051)*(f + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001311101 (base 4) in base 8?\nAnswer: 4016521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m + 75. Suppose 0 = -6*p + 9*p - 72. Let f = 24 - p. What is the units digit of h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/8)\/(p\/((p*p**8)\/p))*(p*p**16*p*p)\/p**(-4\/9) assuming p is positive.\nAnswer: p**(1877\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/5619 and -117\/10?\nAnswer: 56190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1096, 1, -4 in decreasing order.\nAnswer: 1096, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-234)\/(-24). Find the third derivative of -15*g**3 - 103*g**5 - s*g**2 + 101*g**5 - 2*g**2 wrt g.\nAnswer: -120*g**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3516*d + 45808. Determine h(-13).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -192*f. Let i(h) = -4*h. Determine i(b(c)).\nAnswer: 768*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 + 27 = 0. Let l(r) = 8*r**2 + 2 - 4 + 3*r**3 - f*r**2. Let x be l(2). Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:11 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 17796*d**2 + 17859*d**2 + 17788*d**2 + 9 - 53446*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167512351 is divided by 406?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 24. Find the third derivative of -3*v**2 - x + v**2 - v**3 + 6 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.01 (b) 0.3 (c) -1\/52 (d) -605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/(-1) - -5. Let j = s - 2. Suppose -w - 2*w + 4 = b, w - j = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = 2*s. Suppose -s*b - 9 = -19. Find the second derivative of -11*k**2 + 25*k**2 - 11*k**b - 10*k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvvy when four letters picked without replacement from vyyvyv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, q: 2, z: 5, v: 4}. What is prob of sequence qvq?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2066 - 4?\nAnswer: -206a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 z, and 1 n when four letters picked without replacement from {a: 2, n: 1, f: 1, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h - 116 = -6*h. Calculate the remainder when 167 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = l + 1, 3*i = 4*i - l + 3. Let d(a) = a**2. Let y be d(0). Solve y = j + j - i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79776 + -56140. Suppose -45*o = -g - 12679. List the prime factors of o.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 43225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4458\/34 + (-8)\/68. Suppose 0 = -2*z + z + k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.1 + -50.1. Sort q, 2, 1, 0.026 in decreasing order.\nAnswer: 2, 1, 0.026, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 306, 342, 380?\n\"Answer: w**2 + 31*w + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14806, -29629, -44446, -59257, -74062?\n\"Answer: 3*b**2 - 14832*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -49 + 19, -22 = -5*l - 3*p. Let d be 1 - (3 + -2 + -8). Let s = d - 4. Solve 2*y - s*y = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*u + 110*u - 759 = 0. Suppose g - 4*g = 0. Let o be (-34)\/14 + g + 3. Which is the second biggest value? (a) u (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131644502 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k - k)*(-2 + 2 + k**3) + 1 - 1 - k**4 + (2*k**4 + 5*k**4 - 5*k**4)*(1 + 2 - 1).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*-6*(-5*(1 + sqrt(252)) + 2))**2.\nAnswer: -908496 - 25920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37 = -18. Calculate the remainder when (21 - 253\/(-11)) + (-6)\/2 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -145*l**2\/4 + 834775*l\/4 - 28785\/2 = 0.\nAnswer: 2\/29, 5757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 529686 and 446760.\nAnswer: 773341560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1908 = -18*m. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30378 and 153171.\nAnswer: 25426386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**2)\/f))\/(f**(-1\/6)*f))\/((f\/(f*f*(f*f**5)\/f*f))\/f*f*(f*f\/f**(1\/6)*f)\/f) assuming f is positive.\nAnswer: f**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -10 + 37. Let j = -56 - -162. Calculate the remainder when j is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.4 (c) -2\/5 (d) -5 (e) -546702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 35*k**2 - k. Let s(w) = -13*w**2. What is j(s(r))?\nAnswer: 5915*r**4 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11853*d + 418. Is t(2) a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2919769 (base 13) to base 9\nAnswer: 26482157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/17 + 72476*q**3\/17 - 4283046*q**2\/17.\nAnswer: 2*q**2*(q - 59)*(q + 36297)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85114.62 meters to millimeters.\nAnswer: 85114620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 9, z: 2, c: 4}. Give prob of sequence lz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -473, 1\/4, 2.6, -2 in increasing order.\nAnswer: -473, -2, 1\/4, 2\/5, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + ((-5*(sqrt(76) + -1) + (sqrt(76) + 1)*2)**2 + -5)*5).\nAnswer: -2520*sqrt(19) + 21840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 3*w - 5*r, 4 = -5*w - 4*r. Suppose u + w*u = 63. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864291 and 3169067.\nAnswer: 9507201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20498187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2913 - 2941.904. Let j = -29 - m. What is j rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 28\/15, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-9926088\nAnswer: -8933479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 54960.\nAnswer: -1\/54960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13379 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 12*d**2 - 6*d + 19. Let q = 130 - 117. Is 22 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 714 + 7050?\nAnswer: 7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(5*f**2 - f**2 + 2*f**2) + (-5*f + 2*f + 4*f)*(-2*f + 0*f + 4*f) - f**2 + 5*f**2 - 3*f**2 + (-2*f + 0*f + 0*f)*(-5*f - 1 + 1).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 2*j - j + 5*j + 5. Suppose -3*b - 4*m + 20 = 0, -2*m - 4 = b - 6*m. Let v be ((-10)\/b)\/((-2)\/(-4)). Give o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224 - -365\/2. Let v be 0\/(-8 + 4) + -4. What is the common denominator of (-1*(-220)\/(-12))\/v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -211, -218, -229, -244?\n\"Answer: -2*g**2 - g - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 126*i**3 + 5*i**2 + 286*i**3 - i - 3 + 65*i**3. What are the prime factors of g(1)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - 142. Let c = 113 + f. Let s be (-2 - -1) + (2 - c). Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21905 + 21892.993. Let v = t - -12. What is v rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and -9*(-5)\/30*(5 - 3650\/(-6))?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 2143?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -156\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*t - 744, 5*r - 930 = -2*t - 3*t. Let h = 351 - t. Let v be (-178)\/(-12) - ((-3)\/18 + 0). What is the highest common divisor of h and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3 + -7\/12. Let n = -3987 + 3991. What is the biggest value in o, -13\/4, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.8 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 8*i**2 - 11*i + 2. Let h(s) = -s**3 - 6*s**2 - 7*s - 6. Let m be h(-4). Let w be a(m). Let j = w + 299. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, v: 1, n: 2, g: 1, h: 1}. Give prob of sequence nv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z + 18 - 15*z**2 + 3*z**3 + 2*z - 6*z**3 + 2*z**3. Let h be n(-16). Let m be 2\/4*h - 126\/15. Which is smaller: m or -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111000111100100?\nAnswer: -111000111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, -29, 3, 8 in ascending order.\nAnswer: -29, -2, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4370, -8725, -13094, -17483, -21898?\n\"Answer: -t**3 - t**2 - 4345*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 19 = 1. Let o = -2044 - -1984. Which is the smallest value? (a) o (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10283\/(-273) - -132 - 83?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/105 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -296973.\nAnswer: -1\/98991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 24. Suppose -l - j = 3, -4*l - 2*j + o = -3*j. Suppose -w + l = -0*w. Sort -1, 0, w in descending order.\nAnswer: w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/5, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13443764.\nAnswer: 2, 3360941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 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: Suppose -18*p = -789 + 699. Solve -3*x = -5*j - 21 - p, 16 = -4*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:30 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/6 + (-25)\/(-10). Let s be (42\/56)\/(3*a\/84). Let g be 3\/6*-2*-7. Calculate the greatest common divisor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -607, 6.8, 1.1, 0.5 in descending order.\nAnswer: 6.8, 1.1, 1, 0.5, -0.2, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = -5*s, 4*x = -5*s + 2*x + 31. Suppose 3*g + s*l - 2*l = 2259, 4*l + 3747 = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*n - 24 = 0. Is 62*n*(-3)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2 + 6*z**2 - 6*z - z**2 + 3*z + 8*z**3 - 11*z. Let o be b(6). Suppose 5*l - 7711 = -o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34546260 (base 7) to base 13.\nAnswer: -8244a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1164 (b) 2 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000) - (sqrt(4000) + sqrt(4000) + 1*sqrt(4000)*-2 + sqrt(4000)))*3)\/(-5*(sqrt(8) + sqrt(8) + 5*(sqrt(8) + sqrt(8)*1) + sqrt(8))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90545.15 millilitres to litres.\nAnswer: 90.54515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 130 = -2*k. Let b = 46 - k. What is the greatest common factor of 100 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 28 = -5*y, -3*y = b - 5*y - 10. What is the lowest common multiple of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba + -a2?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/24591632 and 27\/12295816.\nAnswer: 24591632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 108\/5*n**3 + 13 + 288\/5*n**2 - 192\/5*n + 21\/10*n**4. Factor o(m).\nAnswer: 6*(m + 4)**2*(7*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -12*h**2 - 76*h + 200 = 0.\nAnswer: -25\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + -4 + 29 + -12 + -32.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 934 + -949.93. Let w = 16 + c. Put w, 2, 3 in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70836 and 88545.\nAnswer: 354180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Let k(a) be the third derivative of a**4\/8 + 5*a**3\/6 + 8*a**2. Let q(s) = -4*s - 7. What is l*q(c) + 7*k(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3647b + 4?\nAnswer: c36480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 + 1 - (940 + -948)) + -62 + -15.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 12930164*z = 0. Calculate z.\nAnswer: -3232541, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3752 = -6*d - 1180. Let q = d + 1207. Suppose -3*t + q = 8*t. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 + 14*k - 203.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -503*n**2*t**2 - n**2*t + 78*n**2 + 2*n + 19*t**2 - 3*t + 431 with respect to t.\nAnswer: -1006*n**2*t - n**2 + 38*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206181 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3180 - 3152. Solve -j = -r + 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 + -210.78. Let t = a - -21. Round t to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -406 + 468. Calculate the remainder when 238 is divided by y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = -i. Let h = -13\/4 - -3\/2. Let t = -6 - -2. Which is the closest to i? (a) h (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3))**(-4\/5))**(6\/7)*((m*m**1)\/(m*m\/(m\/(m*m*m**6*m*m)*m)))**(2\/63) assuming m is positive.\nAnswer: m**(-8\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 7*p**2 - p**2 + (p + 2 - 2)*((4 - 4 + 2*p)*(-1 + 2 - 3) + 0*p + 0*p + p) + 63*p**2 - 148*p + 148*p.\nAnswer: 53*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2884 + 8749\/3. Is 33 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1288 - 906. What are the prime factors of n?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -3, 60, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10721 - 6027. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3376\/20 + (-2)\/(-10). Let o = x - 170. Let z = 1.7 + 0.3. Which is the closest to 0.1? (a) o (b) z (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115923351, -115923346, -115923341?\nAnswer: -115923336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1001635 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72738343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 plus 3265111?\nAnswer: 3265110.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -40*l. Let s(d) be the first derivative of -d**5\/120 - d**3\/3 - 5*d - 205. Let m(a) be the third derivative of s(a). Give v(m(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:53 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1370 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24082.08 millennia in centuries?\nAnswer: 240820.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = f + 5*r, -3*f + 6 = 26*r - 23*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*k + 20 = -11, -137 = -5*z + 2*k. Suppose -2*f + 39 + 27 = -4*q, -5*f + 57 = -4*q. Let d = q + z. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 - 1 = -2*c, -5*c + 5 = -4*v. Suppose -d - 1 = c. Is d*(-78)\/3 - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3 - 5. Let g(k) = 328*k**3 - 180*k**2 - 128*k - 12. Let w(d) = -655*d**3 + 360*d**2 + 256*d + 25. Let s(b) = c*w(b) + 7*g(b). Factor s(h).\nAnswer: -4*(h - 1)*(9*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417250999.\nAnswer: 11, 281, 134989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2022954 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1131022140?\nAnswer: 1131022143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:42 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 27\/4 (b) 1 (c) -3 (d) 86 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194.35 + -2.35. Let x = p - 191.999423. Round x to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q. Let s(j) = -2*j**2 + 3*j. Calculate -o(n) - s(n).\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4774 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3468)\/(-51) - 69)\/(2\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-24))\/5)\/((-162)\/(-2376))*-4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 7, -1\/7, 1\/2, -0.4, 0.092?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11849 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 13*v**2 + 8*v + 9. Let y be r(-11). Let j = y - 167. Suppose 13 + 3 = -2*p. Sort p, j, 0, 5.\nAnswer: p, j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6) + (-8)\/12. Let d(w) = 10*w**2 + w + 1. Let c(p) = 3086*p + 9427. Calculate the remainder when c(-3) is divided by d(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 5 - 2 - 5*p**2 - 4 + 6*p**2 + 2*p to b*p + w + j*p**3 + a*p**2 + s*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20.87 times 143\nAnswer: 2984.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -209, -421, -633, -845, -1057, -1269?\n\"Answer: -212*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075792 - 350418 = 46*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:23 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 + 11*c + 17. Let d be t(-6). Let f(b) = -b**2 + 44*b + 49. What are the prime factors of f(d)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = 3*t - 445. Calculate the remainder when t is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2 + c - 1. Let f(m) = 2*m**3 + 3*m**2 - 2*m - 1. Let i(s) = f(s) + w(s). Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3 = 3*b + 2*q, 3*b = 3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 6*f**2 - 6*f + 6. Let a(n) = 11*n**2 + 0*n + 7*n**3 + 2*n**2 + 13 - 3*n - 10*n. Give -6*a(v) + 13*k(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 139701, 33, -7 in ascending order.\nAnswer: -7, 33, 139701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171799 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/35)\/(((-12)\/15)\/(-1)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382 and 5404727.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 1162 + 5023. Calculate the greatest common factor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8637237 - -8637310.30802. Let y = -0.29952 + d. Let i = y - 73. Round i to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.55 + 12.45. Which is the second smallest value? (a) o (b) -2\/7 (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8693.587 litres to millilitres.\nAnswer: 8693587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268673.8 months in decades?\nAnswer: 18905.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**21\/((c**(-1\/10)*c)\/c*c))\/(((c**(-31)\/c)\/c)\/c**(7\/3)) assuming c is positive.\nAnswer: c**(1663\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + w + 12 = 4*w, 0 = 5*w - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 351*g**5\/20 - g**3\/3 - 61*g**2\/2 + 183*g. Find the second derivative of m(w) wrt w.\nAnswer: 2106*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - b = 10, 3*k - 5*b + 13 + 3 = 0. Calculate the smallest common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 3*l**2 - 42.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 175 - 191. Which is the closest to 0? (a) -1\/4 (b) 2\/7 (c) v (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 53. Suppose r = 13*n - 4*n. Calculate the smallest common multiple of 9 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*w + 634, -5*w = -5*j + 3*j + 266. What is the smallest common multiple of 10 and j?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7814489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2805 is divided by 935.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5 + 45*m**4 + 1164*m**3 - 15120*m**2 - 62208*m + 174960 = 0.\nAnswer: -18, -5, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 6*g - 1. Let m be h(6). Let o(a) = 2*a**2 + a. Let i(k) = k**2 + k. Let s(y) = m*i(y) + o(y). Let b(p) = -7*p. Determine b(s(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/6*(-4452)\/41552*7\/4*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 3 (c) 324.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let w(r) = -173463721*r**2. Determine w(t(b)).\nAnswer: -173463721*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 1 + (2 - (-6 - 0 - -10))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*m - 2*m - 38, -5*m - 113 = -4*l. Let n = 23 + l. Calculate the remainder when n is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*t + 2010 - 512, -2*u - 2*t = -752. Suppose 275 + u = 6*c. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(11) - (2*sqrt(121))\/sqrt(11))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1584))**2 + -3 + 1*(2*sqrt(1584) + sqrt(1584))**2 - (0 + sqrt(1584) + -1 + (-1*sqrt(1584)*-2)**2)) + 3.\nAnswer: -12*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/1317445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Let t = 1 + 0. Let x = z + t. Sort -4, 0.4, x in increasing order.\nAnswer: -4, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k + 7*i - 9*i, 0 = -i. Suppose 5*g - 5*q = 15, -k*q = -5*g - 6*q + 15. Suppose g*s - 7988 = -1622. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, -99, -390, -953, -1878, -3255, -5174?\n\"Answer: -15*w**3 - w**2 - w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 29887 = 1287. What is the greatest common factor of n and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 not equal to 345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 15635 = 58*y - 13655 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*3*(1*-2*sqrt(700) - (1*sqrt(700) + 3))**2.\nAnswer: -75713 - 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219745228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248\/(-52)*11289\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13173854 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/2)\/u))**(-42)\/(u\/(u\/u**(2\/3)))**(-31) assuming u is positive.\nAnswer: u**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6999*d - 2. Let i be f(-2). Round i to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -43 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 11. Let c = 11 - 15. Let o(i) = i - 2. Let p(x) = c*h(x) + 22*o(x). Let b(g) be the second derivative of -g**4\/4 - g. Determine p(b(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -20. Suppose -3*x - 5 + z = 0. Let m = -19 + 31. Calculate the least common multiple of x and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113310132 + -11?\nAnswer: 113310121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - (-39)\/9. Suppose -11 = -h*r + 4. Let y(p) = -p**3 + 10*p**2 + 5*p - 23. Let a be y(10). Calculate the highest common divisor of r and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a factor of 415830636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890692.353 + 1289?\nAnswer: 2891981.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*a - 363*a = 301*a - 1098*a + 372 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*k + 36, 17*k - 6*k - 2*p = -36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*s - 1765 + 1735, -4*s - 40 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let j be d(0). Let a(o) = -6*o**j + 3*o - o**2 - 3 + 4*o + o**3. Let b be a(6). Solve -b*l + l + 6 = x, -5*x + 3 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m + 45. Let w be j(-7). What is the second derivative of -15*k**3 - 30*k + w*k**3 - 14*k - 2*k wrt k?\nAnswer: 390*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**0)))**(-8\/17)\/(m*m**(-2\/9)*m**(1\/12)*m)*((m*m**(-2\/15)\/m*m)\/(m*m**(3\/4)))\/(m**1)**(2\/3) assuming m is positive.\nAnswer: m**(-5939\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79486 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3005, 3005, 2995, 2969, 2921?\n\"Answer: -i**3 + i**2 + 4*i + 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 471101 - 274690. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 11 (c) -14 (d) -0.3162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e09 (base 15) to base 16.\nAnswer: -c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -526\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 890 and 1424.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t. Let r(p) = -1239*p + 84. Suppose 0 = 32*l - 27 + 187. Let w(x) = -73*x + 5. Let b(c) = l*r(c) + 84*w(c). Calculate b(d(y)).\nAnswer: -252*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 14*r**2 + 11. Let k be f(14). Suppose -3 = 2*v + 1. Let g = k - v. What is the remainder when 25 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 11*z - 6. Let n(t) = 8*t**3 - t**2 + t - 1. Calculate the smallest common multiple of c(12) and n(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-40) - (-87)\/5. Let a be 1 - (-134)\/(-1 - 1). Let h = -49 - a. What is the highest common factor of l and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - d**2 + d + 1. Let r be o(-1). Let f = 48 - 51. Sort 4\/3, 2\/5, r, f.\nAnswer: f, 2\/5, 4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2 + 33*b + 1. Let h(c) = -3*c**2 + 16*c. What is -5*h(p) + 2*w(p)?\nAnswer: 3*p**2 - 14*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/216)\/((-3)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(300)*-4)**2*1.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5691, 4575, 1549, -4341, -14049, -28529?\nAnswer: -48735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j + 4. Let p be o(9). Let u = p + -38. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1212.41006 + -0.065.\nAnswer: 1212.34506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(5) + sqrt(3) + 1 + 5)*2)**2.\nAnswer: 96*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1812, 469 in decreasing order.\nAnswer: 1812, 469, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 138. Suppose -8*q + 10 = -b*q. Let l(u) = -25 - u + q*u**2 + 28 - u**2 + 4*u**2 + u**3. Calculate l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:29 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q**2 - 20*q**2 + 77*q**2.\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1 + 0)\/1. Let y be -2 + x\/((-3)\/(-90)). Let l = 40 - y. Calculate the least common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.09406?\nAnswer: -0.10594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(288) + sqrt(288)*2)\/sqrt(3))\/((sqrt(27)\/(sqrt(36)\/sqrt(4)) - sqrt(3)) + -2*sqrt(75)))**2.\nAnswer: 1152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/21 and 3\/3 + ((-5330)\/273)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let v be ((-3)\/(-9))\/(4\/(-24)). Let o be z(v). Is ((-2)\/5)\/(o\/(-1335)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4038421057.\nAnswer: 11, 31, 127, 93251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - (-506)\/(-66).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621732508 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: What is the units digit of 21846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + (0 - -4) + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + 1 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 15. Let p be r(-12). Let d be 6\/4*(-90)\/p. Suppose -j + d*y + 23 = 0, 3*y - 5*y - 11 = -j. Solve -n = j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*k, -2*j = -5*j + 2*k. Which is the nearest to j? (a) 0 (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -21*y**3 + 2*y**2 + y. Let h be a(-1). Let z be -5*(-282)\/30 - -8. List the prime factors of 3180\/z + 4\/h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 14. Let x(d) = -3*d**2 - 10. Suppose 746*l = 742*l + 28. Let i(n) = l*x(n) + 5*f(n). Let o(r) = -5*r**2 + 20*r. Give o(i(m)).\nAnswer: -5*m**4 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003112253 to seven dps.\nAnswer: -0.0003112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.7 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 4468704.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**11\/83160 + p**8\/5040 - p**5\/30 + p**2. Let w(f) be the third derivative of z(f). Find the third derivative of w(u) wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-77) - 97936442\/(-308). Let x = q + -318117. Let a = -281\/2 - x. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + 2*m - 2. Let s = -3 - 0. Let t be s*(-8)\/6*-1. Let z be y(t). What is the highest common factor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 83 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 888574652 to the power of 1\/2, to the nearest integer?\nAnswer: 29809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and -67\/62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28416546 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81331\/680 - 1981\/17. What is the common denominator of 8\/15 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*x**5 - 1 + 24*x**2 + 114*x**5 + 8*x**2 wrt x.\nAnswer: -2100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.403555929 + -0.5.\nAnswer: -1.903555929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 12. Suppose 4*l = d*l + 3*s + 320, -2*s = -l + 323. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 73*f - 101*f. Let b(o) = 26*o - 5. Let s(h) = 13*h - 2. What is f*b(u) - 9*s(u)?\nAnswer: -13*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**2 - 2*m - 4. What is d(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 547344*f**3 + 2189372*f**2 + 2189360*f - 16 = 0?\nAnswer: -2, 1\/136836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 o, and 1 t when four letters picked without replacement from nnnontnoktartktat?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 12 - 6*t**2 + 6*t**2 + 2 - 2*t as p + l*t**2 + h*t + u*t**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 37 (c) -1\/26 (d) 2 (e) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-15)*25\/2. Suppose 2*q + 223 = -2*q + p, q - p + 58 = 0. Calculate the remainder when 15 is divided by (-2)\/h + (-231)\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214239446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let v(r) = -37*r**2. Give v(q(g)).\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-12)\/(-24) + 38\/4 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjwwmfmmmmmwfjwmwmm. Give prob of picking 1 f and 2 j.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -2 - 1) + (-61 - -73).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycycccyc. Give prob of picking 4 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1321285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-168)\/32)\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*r = 72*i + 2577*r - 1172, -5*i + 60 = -5*r for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -66, -101?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8189 is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -0.4, 4, 296, -0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 3976768?\nAnswer: 3976765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/15)\/((-284)\/(-710))*45?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103)\/(-206))\/(-6*(-8)\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**6\/3 + 14*z**5\/5 + 71*z**4\/2 - 66*z**3 - 378*z**2 - 432*z - 184. Find k, given that i(k) = 0.\nAnswer: -6, -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = -7*r, -3*r + 512*o = -617*o + 1130*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 5. Does 10 divide (g\/15)\/((-3)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135\/2 in 2\/11, 5, -2, 0, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4859757 + 5?\nAnswer: -4859752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294369203.703308 + -280148580.70331272. Let a = 14220579 - o. Let d = -44 - a. Round d to 7 decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)\/((l\/(l\/(l\/(l\/l**(-3))))*l)\/l))**(3\/2))**15 assuming l is positive.\nAnswer: l**(855\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 + (-180)\/(-8). Let t = k + -19. Let x(w) = -w**3 + 5*w**2 - 4. List the prime factors of x(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/7))\/(i\/(i**(4\/7)*i)))\/(i**(1\/2)*i\/(i*i**6))*(i*i**(-1\/7)*((i\/((i*i**(-6\/11))\/i))\/i*i)\/i)\/((i*i**1)\/(i**(-1)\/i)) assuming i is positive.\nAnswer: i**(711\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(-1 + -1 + sqrt(468))*-3 + -2)**2 + 2 + -1.\nAnswer: -144*sqrt(13) + 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 3312 - 3312.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/(((-70)\/(-20))\/((-126)\/(-18))). Which is the nearest to s? (a) 0.19 (b) -5 (c) -7\/6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-28.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 4. Let b be o(0). Suppose -9*d = -b*d - 325. Put -1, d, -2 in decreasing order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033 + -99184.6.\nAnswer: -99184.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -101734, -2 in decreasing order.\nAnswer: 1, -2, -101734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = -2*q + 3*h, -q - 5*h - 365 = -37. Let z = -323 - q. Solve -3*i = 3*c + 2*c + 26, 0 = -z*i - 4*c - 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 i, and 1 a when four letters picked without replacement from ipaaapip?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 + 9*r + 7. Let u be m(-8). Let o be (-9 + 9)*(0 - u) - -3. Solve 0 = o*v - 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 s, and 1 h when four letters picked without replacement from ugshftshtuuhhhh.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:19 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose 2*o + 0*o - 46 = -2*k, -o - s*k + 15 = 0. What is the smallest common multiple of 5 - (29\/(-10) + (-24)\/240) and o?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3343, -6679, -10015, -13351?\n\"Answer: -3336*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = -5. Let k(y) be the first derivative of 3*y**2\/2 + 7*y - 2. Let t(b) = 3*b + 6. Let u(a) = -5*k(a) + 6*t(a). Give u(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 1407?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 39*c + 52 - 2 + 3 - 3 + c - 5*c - c + 3*c + (-5 + 6 - 3)*(-4 - 2*c + 4) - 3*c - 6*c + c + 0 + 0 + c to i + t*c and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -805 - -1002?\nAnswer: 5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*g + 194*g - 18444*g**2 - 412*g.\nAnswer: -18444*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b**3 + b**2 - 16*b + 4. Let l be x(4). Suppose 0 = 14*a - 44*a + l. Calculate the remainder when 321 is divided by a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94 - -4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, -45233 in ascending order.\nAnswer: -45233, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:53 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13004, -51511, -115678, -205505, -320992, -462139?\n\"Answer: -12830*k**2 - 17*k - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + -4.2. Let v = 6 + d. Let h = -3 - -8. What is the smallest value in v, 3, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2911 divided by 13\nAnswer: -2911\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1880, 6245, 13520, 23705, 36800, 52805?\nAnswer: 71720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5190 and 1126922.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 30 = -0*t. Let z = t - -17. Suppose -z*i = -12*i + 25. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6575287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 804035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 2, q: 1, m: 2, c: 2}. Give prob of picking 1 a and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/10)\/(r**16*r) assuming r is positive.\nAnswer: r**(-173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169 + 313. Let j be 564\/y - 6\/4. Let f = -13\/12 + j. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 2, z: 1, h: 4, u: 5, a: 4}. What is prob of picking 1 h and 3 r?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78aac9 (base 13) in base 16?\nAnswer: 2b8224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -36334\nAnswer: 3\/36334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*p - 226*p - 46 - 18 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830515 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.7. Let m = 1 + -1\/2. Let c = 989 - 986. What is the nearest to m in -3, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 - 952 = 3*q. Let b = 317 + q. Suppose 14*z - 18*z = b. What is z rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 2*w**2 - 4*w**2 - 1 - 6*w**2 to the form s + o*w + i*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1534*i + 33751. What is h(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 341 - 400. Put -1, q, 3 in decreasing order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1554851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2396, -4873, -7350?\n\"Answer: -2477*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*v + 35. Let d = -10 - v. Suppose -4*x - k = 12 + 15, 5*k + 45 = -d*x. Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*k + 290*k = 577*k - 18469 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7619*v**2 - 7628*v**2 + 15348*v**2.\nAnswer: 101*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 355 - 15 = 0. Sort -5, s, 1.\nAnswer: -5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -588*n**4 - 2*n**2 - 333660*n wrt n?\nAnswer: -7056*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(36)\/(sqrt(1728)*-1) - (sqrt(150)\/sqrt(160))\/(sqrt(5) - 2*sqrt(405)))**2.\nAnswer: 3675\/4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -213, 4, 2 in descending order.\nAnswer: 4, 2, -107, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -666 or -667?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*w - 23*w + 426 - 51*w + 562*w**3 - 21*w wrt w.\nAnswer: 1686*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/136 and -23\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j + j + 0*j. Let f(q) be the second derivative of 0*q**2 + 1\/6*q**4 - 11*q + 0*q**3 + 0. Calculate d(f(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15074851 + -7314855. Suppose 2*j - 3880016 = -4*q, 0*q = 4*j - q - i. Round j to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*i = -494*i + 12. Is (-16)\/48 + 6160\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*d**2 + 0)*(1 - 1 + d**3)*(0 - 4 + 2).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - 10*v - 15. Suppose -22 - 20 = 6*i. Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 1\/4*n**3 + 3\/2*n**2 - 3*n.\nAnswer: -(n - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1902 (b) 12\/7 (c) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-4) + ((-143)\/468 - 44\/99).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(84)*2)\/(sqrt(12) + (sqrt(120) - -1*sqrt(120))\/sqrt(10)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 109. Calculate the highest common divisor of a and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1150 + 1283*q**2 - 362*q**2 - 65*q**2 + 1858*q**2 with respect to q.\nAnswer: 5428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*r + 0)*(0*r + 0*r - r) + 2*r - 81*r**2 - 20 - 62 + 80.\nAnswer: -85*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, -20, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 8*c - 6. Let x be g(-9). Let q(l) be the first derivative of l**4\/2 - l**3 - 5*l**2\/2 + 2*l + 23. List the prime factors of q(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1500*i + 20941. What is m(15)?\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -53*f + 48*f. Let k = f - 179. Let d = -131 - k. Solve -2*j = -d*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -838 + -117432?\nAnswer: -118371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/6 - b + 12. Let l(s) = -3*s - 3. Calculate i(l(z)).\nAnswer: -18*z**2 - 36*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1218*h - 10953. Give m(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 1184 - 1156 = -2*s, 4*i = 4*s - 48 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*h**2 - 268*h**2 + 90*h**2 + 15*h + 89*h**2 to a*h + j + g*h**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274 is divided by 749?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose -5*n - 4 = 1. Let x be (0 - n)\/f - 3. Is x >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 129*h + 176*h**3 + 240*h**3 - 90*h wrt h?\nAnswer: 2496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -10) + (24 - 49 - -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 5*x - 30. Let i(o) = o**2 - 3*o - 16. Let c(w) = -6*a(w) + 11*i(w). Suppose 0 = -40*p + 35 + 45. Give c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20218 (base 11) to base 5\nAnswer: -1421133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -8b2a?\nAnswer: 8b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*l - b, 16 = -2*l + 5*l + 2*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/2*r**4 + 1\/2*r**2 + 0 + 0*r - 3\/2*r**5 - 5\/2*r**3 = 0. Calculate r.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -4. Let h = 9 - k. Let p = -1454 - -1454.1. Which is the nearest to p? (a) 4 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -661 - -569. What is the tens digit of (1229\/4)\/((-23)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21312885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161519 rounded to the nearest ten thousand?\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*n**3 + 16*n**3 - 45*n**3.\nAnswer: 176*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -4*x, 11*m + 52 = 5*x + 8*m. Let f(z) = 9*z**3 + 5*z**2 - 15*z + 7. Let i(b) = -14*b**3 - 8*b**2 + 23*b - 11. What is x*f(h) + 5*i(h)?\nAnswer: 2*h**3 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8130 by 8.\nAnswer: -4065\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -19804 - 23000. What is the highest common factor of o and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p - 2*b + 2, 4*b - 4 = -4*p. Sort p, 4, -1.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 130*t = -135*t + 57, -2*t = 4*b - 34 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 821 - -158. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1014 divided by -338.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2.318?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*v + 14, 3*v - 16 = 2*y - 5. Let k be (y\/(-4))\/(-4*(-4)\/256). Put -10, -3, k in ascending order.\nAnswer: -10, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a day in minutes?\nAnswer: 26400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 4704?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 4, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Suppose -h + 2*z = 4*h, -3*h = -m*z. Let g = h + -5. Sort 2, 5, g in increasing order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 22 + 62 = 0. List the prime factors of (-1745)\/p + 12\/8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*k*v**3 + 3*k*v**2 + 6*k*v + 2*v**4 - 2*v**3 wrt v?\nAnswer: 528*k + 48*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(19))*1.\nAnswer: -4*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {q: 2, n: 10, e: 4, a: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 242\/7623 + (-5121)\/567\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(3\/7)*r*r*r\/(r**(-3\/2)*r)*r)**34)**(2\/17))**(-10) assuming r is positive.\nAnswer: r**(-1660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-5)*(-10)\/3. Let o = 1.42 - 0.42. Let s = 2.99 - -0.01. Which is the nearest to o? (a) 2\/13 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1830 = -9*u + 78*u + 44*u - 995 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (9 + (3 - 0)) - -28\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -359419 less than -359422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*b*s**2 - 71633147*b*s - 2720429*s**2 - 3 wrt s?\nAnswer: 46*b - 5440858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/235 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**3\/3 - 7*d**2\/2 + 6*d + 1. Let r be v(-6). Is 154*-2*(-3)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + 6) - (-2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*m + 12, s = -0*s - 2*m - 4. Let h be 36\/(-15) - s\/10. Is (70 - 3) + 4 + h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-8 - 34) + -18?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -5.9530823.\nAnswer: 1.19061646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*q + 2452, 0 = -0*u + 5*u - q - 3079. Suppose 5*b = -5*z + u, 4*b = z - 56 - 52. Let t = 1447 + z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2. Let j(k) = -1797*k. Determine j(d(q)).\nAnswer: -8985*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 26 - (2 - (-30 - -1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*((-153)\/(-45) + -4). Let f be 12\/54 - (-32)\/(-90). Sort j, -0.5, f, -4 in ascending order.\nAnswer: -4, -0.5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((850\/119)\/(4\/(-7)))\/1*-2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(144\/(-2280))*31\/(2325\/30).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1248*b**3 - 2018*b**2 wrt b?\nAnswer: -7488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26043 is divided by 118.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let i be c(3). Suppose 10*y - 116 = i. Calculate the greatest common divisor of 96 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 2, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.934 - 0.289. Let d = n - 0.645. What is the fourth biggest value in -5, 0.2, 0.5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1237, -2474, -3711, -4948, -6185, -7422?\n\"Answer: -1237*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10250.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 6. Let r be c(-6). Suppose r = 2*l - 0*l. Solve -3 + l = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbyz when four letters picked without replacement from qlblzqzzlbrby.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94970 divided by -18994.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 - f**2 - 4*f. Let z(x) = 18*x**2 - 14*x**2 - 9*x - 7*x**2 + 13*x**3. Suppose o = 47 - 56. Determine o*u(p) + 4*z(p).\nAnswer: -2*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 11*s - 20. Let g be c(7). Suppose 44060 = g*v - 4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*r - 22984 = 307*r. Is 12 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -22. Suppose 2*x - 71 = -i. Let m = -1 + x. What is the lowest common multiple of 20 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131549745 rounded to three dps?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + -15?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:22 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1\/(1\/(-1)). Let a be 8\/6 - 8\/(-3). Let g = a - n. Solve g*q - 16 = 4*y, -2 = 3*y + q + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, -0.21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:24 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*o - 96, 0 = -5*j + 4*j + 5*o + 20. Let v be 11\/(11\/27) - 2\/1. What is the greatest common factor of v and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812073163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 116000 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7369.41 to the nearest 10.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0*t**2 - 7*t**4 + 3*t**2 - 3 - t**3 - 3*t**2 - t + 2*t**2 to the form f*t**3 + a*t**2 + c + w*t + z*t**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 + 227631*v + 29414322 = 0 for v.\nAnswer: -129, 76006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 19.2?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1967 + 1967 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(6721\/(-26))*33\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/(v\/(v\/v**15*v)*v)*v**(9\/5)*v**(-8) assuming v is positive.\nAnswer: v**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**33)\/k*k*k*k\/((k\/(k**(-2\/51)\/k))\/k))**4 assuming k is positive.\nAnswer: k**(7336\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c*c*c\/c**(-7))\/(c**(1\/2))**(1\/19)*(c*c*c\/c**(-5)*c)\/(c\/(c\/((c\/(c\/(c**3\/c)))\/c*c*c)))*c**6*c**(-2\/9) assuming c is positive.\nAnswer: c**(14707\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 3.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 - 7*m**3\/3 + m**2\/2 + 6*m + 11. What is the remainder when 77 is divided by g(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let g(a) = -a**2 + 2*a + 2. Let n be g(2). Let h(y) = 2*y**n - 6*y**2 + y**2. Calculate d(h(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from lrllrroolvrrllz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -5)*10\/2. Solve -t - 3 = -4*z, -t + 5*z - b = -0*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**3 - 33*n + 14*n**3 + 33*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -118*m**3\/3 + 62*m**2 + 2*m + 2. What is the derivative of g(z) wrt z?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -65461*z + 523686. Calculate g(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 2 (c) -25 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(7)*-4)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*f - 3 + 7, -4*f = -2*n - 24. Solve -s - 4*s + 2*z = 11, 4*z = f*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278 - -1264. Suppose 5*w - x = 2203. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let v(p) = -3*p + 2. Let n(l) = 6*l - 5. Let r(a) = 4*n(a) + 10*v(a). Determine r(b(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 15. Suppose c*f = -0*f. Suppose f = -5*p - 75 + 680. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y*y*(y\/(y*y*y**(2\/7)\/y))\/y)\/y))\/((y*y*y**(-3\/4)*y)\/y))\/(y*y*y\/((y\/y**(1\/8)*y)\/y)*y**(2\/57)\/y) assuming y is positive.\nAnswer: y**(2795\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4733*n**2 + 1190*n**2 + 1180*n**2 + 1182*n**2 + 1180*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 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: Is 491 a factor of 378804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 - 2 = 0. Let q(v) be the first derivative of 49*v**3\/3 + v**2\/2 + v + 1. Let g be q(p). Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 22*s + 826. Determine j(-37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226982.1 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232 + 22 + 83)*(-3*j**2 + 2*j**2 - j**2) + 4*j**2 - 3*j**2 + j**2.\nAnswer: -672*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 + -146 + -94 + 164.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9)*-3 - -4. Suppose -k = -q*k. Solve -s - 4 + 8 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/122808 and -71\/3528?\nAnswer: 2578968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010596 to four dps.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 146, 0.5, -5?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-832)\/10400*(-24 + -1). Solve -y*u = g - 2 - 1, 0 = -3*u + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/4 + 7*h. Suppose 47 = -4*z + 5*z + k, 3*z - 5*k = 125. Let u(f) = -36*f + 84*f - z*f. Determine s(u(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 449*y - 3635. Give z(7).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:11 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 - 4*r**2 + 4*r**2)*(-2*r + 2*r - 2*r) + 1 - 18*r + 19*r - 3 + 5*r**3.\nAnswer: -13*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(v**2 + v**2 + 0*v**2) - 1 + 1 + v**2 + 0*v**2 - 5*v**2 + 4*v**2 + 23*v**2 + 22*v**2 + 6*v**2.\nAnswer: 47*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 27*b**2 - 2*b - 50. Let y be z(-27). Solve -13 + 3 = -5*v - 3*w, 5*w + 8 = y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and -32\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.902 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w*w*w\/w**(-1))\/w*w*w)**(-10) assuming w is positive.\nAnswer: w**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and -56\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38021181 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 127 = -23*c + 19*c, -5*v - 185 = -43*c + 37*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22504422 + 344?\nAnswer: 22505210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m + 2*g + 184, -m + 26 = 5*g. Suppose 10*j + 68 = 8. What is the common denominator of (j - -3) + m\/1 and -39\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1620) + sqrt(1620) + sqrt(1620) + 1*sqrt(1620))*-4 - sqrt(1620)))\/(1*sqrt(484)*-5 + sqrt(484) - -3*-2*sqrt(484)).\nAnswer: -306*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7332506?\nAnswer: 2\/3666253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -532.68891 rounded to one dp?\nAnswer: -532.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/56)\/(-9)*(-2)\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2\/2 - 2. Let b = -29 - -30. Let i(n) = -2*n. Determine b*i(s) - 4*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 4095*s\/4 - 1130773\/2.\nAnswer: -(s - 3437)*(s - 658)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/275519 and 55\/9.\nAnswer: 2479671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (21\/(-12))\/(3 - (-99)\/(-27))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 907 - 904. Let s(q) = -p*q - 8*q - 4*q**3 + 1711 + 7*q**2 + 5*q**3 - 1707. Determine s(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4031*h - 261. Let p = -5348 - -5609. Let x(n) = 31*n + 2. Give p*x(w) + 2*j(w).\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:34 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 11*r - 16. Let k be l(-9). Factor 4\/3 + 2*y + 2\/3*y**k.\nAnswer: 2*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-43)\/774)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 5. Let i be (-6)\/n*30\/(-12). Suppose 0*l - 39 = -i*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31393 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 45*y**2 - 130*y + 120.\nAnswer: -5*(y - 4)*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**2 - 24*d**2 + 18*d**2 in the form n + c*d**2 + r*d and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 11*w - 4. Let c be b(-10). Suppose -5*l - 2*z - 29 = -c*z, 5*z - 16 = 4*l. What is the units digit of 9\/(-6) + l\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 + (-1 - (-357)\/170).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/630*20)\/(60\/(-18))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + h + h. Let v(p) = -2*p - 1. Let m(c) = 8. Let u(i) = -m(i) - 8*v(i). Determine u(w(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 17362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**4*l + 915094*c**3*l**3 - 7*c**2*l - 3*c*l**3 - 2*c - 9*l**3 - 233 wrt c.\nAnswer: 144*c*l + 5490564*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 15*v**2 + 2395*v + 7049. What is m(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -27. Let j be -3 - v\/6 - -1. Which is the nearest to j? (a) 1 (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 14) in base 4?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/13)*l**(-23) assuming l is positive.\nAnswer: l**(-300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-25)*j\/(j*j**(-8)*j)*j*(j*j\/j**(-8\/5))**(1\/32) assuming j is positive.\nAnswer: j**(-1351\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23925 = 497*v - 22434 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-24)*h\/(h*h*(h\/h**2*h)\/h))\/((h\/(h**(-18)\/h))\/h**(2\/19)) assuming h is positive.\nAnswer: h**(-834\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 45 = -3*a, 12*a - 30 = 10*a - 3*b. Solve -52 - 68 = a*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-13)\/(-117)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 15*a**2 + 3*a + 3. Let v(y) = -y**3 + 2*y**2 + 1. Give i(t) - 3*v(t).\nAnswer: -t**3 - 21*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 14*n - 15. Let l be m(11). Suppose 5*c - 36 = -3*a + 20, 3*c = -15. What is the greatest common divisor of l and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 720. Let r be (-4)\/(-30) - 32\/l. Suppose 3*t = -12, r = -4*u - 2*t - 5 + 69. What is the remainder when 70 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let t(o) be the second derivative of -3*o**3\/2 - 2*o. What is v(t(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*f + 291*f - 31*f in the form b*f + s and give b.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p - 93. Let x be j(-6). Suppose x*g - 4402 = 674. List the prime factors of g.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i + 11. What is p(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221220 (base 3) to base 5.\nAnswer: -130243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*b + b - 34 = 0, 31 = -o + 4*b. Let c = o - 4. Let x be (1 - (-24)\/c)\/1. What is the second smallest value in -2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83837710, 167675422, 251513134, 335350846, 419188558?\n\"Answer: 83837712*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehhc. Give prob of sequence ce.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-325)\/70)\/(-5))\/((12\/(-16))\/((-204)\/(-136)))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120071083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 0. Suppose 2*n = -2*a + 6, 2*n + 2*n = 2*a - 18. Let f be a*11\/((-110)\/(-84)). What is the highest common divisor of i and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 9, 2*i + s + 14 = -11 + 9 + 2 - 41 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 + 1131*h**4 + 308543*h**3 - 1886463*h**2 + 1590444*h + 3784320 = 0.\nAnswer: -657, -480, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8265*d + 155. Let b be y(-7). Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/6 + a**3\/6 + 3*a**2\/2 + 2*a. Let h be (3\/9)\/((-1)\/15). Let z(y) = -60 - 45 - 52 + 156. Determine h*z(n) - l(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z = -30*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/((w**(-4)*w)\/w))\/w))*w**(1\/2)*(w\/(w**0\/w))**(1\/13))\/(w**(-4)*w**3*((w**(1\/3)\/w)\/w*w)**39) assuming w is positive.\nAnswer: w**(823\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4) - 5691\/14. Let n = o + 3683\/9. Find a, given that -4\/9*a + n*a**2 + 0 + 2\/9*a**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -265*r**3 - 151405*r + 200348550 wrt r?\nAnswer: -795*r**2 - 151405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21065 by 55.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2400)*3)\/(2*(sqrt(12) + sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(12)) + sqrt(12)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24*(-3)\/((-9)\/6). Let u = z + 79. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -9. Suppose -32 = -v - f*y - y, 4*v - 58 = -2*y. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -241, -3, -30.\nAnswer: -241, -30, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1530, 3055, 4580, 6105, 7630, 9155?\n\"Answer: 1525*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - -111000100?\nAnswer: 101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-2 + -2) + 38. Let s = -442\/11 + h. Suppose 0 = -3*o - 2 - 7. Which is the second smallest value? (a) s (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2 + -1) - -4. Suppose c + w = -0*z + z, -10 = -2*z - 2*c. Suppose 2*h + 56 = z*h. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7386211 to the nearest integer?\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.6 in -3, 0.2, -3\/2, -33\/16, 0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42436 divided by -21218.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-10)\/12)*-1. Let u = -2\/20913 - 62729\/104565. Let f = 839\/9 - 93. What is the fourth smallest value in u, f, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 - 3*g + 2*g + 3 + 2. Suppose 9*j = -j - 110. Is f(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((2*sqrt(100))\/sqrt(10)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:44 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, 32, -38210 in decreasing order.\nAnswer: 32, 3, 2, -2, -38210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 1, h: 2}. Give prob of picking 1 u and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 77\/3 of a day?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2088 and 35\/8.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4894*b**3 - 2*b**2 - 16*b**4 - 2*b + 4894*b**3 as k*b + g*b**2 + v + w*b**3 + q*b**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*y = 6, -4*y = -y - 3. Let q = -801.29 - -795.29. Which is the nearest to o? (a) -0.5 (b) -4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v - 31. What is the remainder when m(-10) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o\/(o*o\/o**(3\/8))*o*o)\/o)))\/(o*o\/(o\/(o\/o**2))*o) assuming o is positive.\nAnswer: o**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 744 = -11*z + 600 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -110*w + 9. Let t(b) = 33*b**2 - 32*b**2 - 15*b + 13 - 5. Let l be t(14). Is a(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1657318*l**2*n**3 - 2*l**2*n**2 - 2*l**2*n + 8695791*l*n**3 wrt l.\nAnswer: 3314636*n**3 - 4*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 2*r - 1. Let z be b(-1). Let p be (2\/z)\/(8\/6). Let l = 0.275 + -0.075. What is the nearest to -2\/9 in l, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 6*p. Let l be d(5). Let f(t) = -t + 4. Let q = -489 + 492. What is the remainder when f(l) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 322 - 168*a - 3509*a - 322 - 12*a**2 + 5*a**2.\nAnswer: a**2 - 3677*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-18)*-37*2808\/126984.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 815581\/171421 - 538\/113. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 4*d)*(7*d - d + 3*d) - 3*d**2 + d - d + (4*d**2 + d**2 - 6*d**2)*(-3 + 1 + 4).\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, 0.02, 0.25, -993?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 49 - 138) + -20.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - 4*w, 0 = -57*w + 54*w - 6. Solve 11*h - 4*d = y*h + 21, -20 = -4*h + 4*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 13. Let w be c(-9). Suppose 17*x = 23*x - 18. Solve -x*q + 4*z + 12 = -z, w*q = -z + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -591361*v**5\/90 - 769*v**4\/9 - 4*v**3\/9 + 642*v**2. Factor y(l).\nAnswer: -2*(769*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 6*q**2 - 8*q. Let f(x) = x**2 - x. Let g = -16 - -17. Let u(a) = g*m(a) - 8*f(a). Factor u(v).\nAnswer: -2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-853*q - 126 + 853*q + 3*q**2)*(q**3 + q**3 - 3*q**3).\nAnswer: -3*q**5 + 126*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 14*h**2 - 20*h + 43. Let z be n(13). Let s be (-8)\/(z\/186) - 6. Solve s = 2*u - u - 4*o, 5*o = -25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 30*d + 21. Let v(n) = -58*n - 39. Give 7*c(h) + 4*v(h).\nAnswer: -22*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.111 - 156571.\nAnswer: -156570.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -74*k - 18. Let w(v) = 18*v - 222. Calculate n(w(u)).\nAnswer: -1332*u + 16410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:43 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9014 and 225350?\nAnswer: 225350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - t**3 - t + 3 - 3 + 2*t**2. What is i(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**4\/24 + w**3\/6 - 4*w**2. Give v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7046 by -6.\nAnswer: 3523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + -14 + 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*c + 9 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 320?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Suppose -n*f - 4 = -0*f. Which is bigger: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23294754 and 378.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d*d**(-44\/7))\/(d*(d*d**(-28))\/d*(d*d**(1\/28)*d)\/d) assuming d is positive.\nAnswer: d**(587\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -192*y**2 + 68*y + 14. Let t(l) = -95*l**2 + 34*l + 6. Let h(d) = -3*n(d) + 7*t(d). What is the second derivative of h(i) wrt i?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 85.6 (b) 0.33 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3896.4621 and -0.121?\nAnswer: 3896.3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1 + 2*p + 5*p - p - 3*p - p**3 + 3*p**2. Determine r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**5 - 22*g**4 + g**3 - 54135*g**2.\nAnswer: -600*g**2 - 528*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*x**2 + 5274*x + 35*x**2 + 145*x + 2760*x + 32*x**2 in the form b + d*x**2 + u*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 33 = 2*t + 2*i, t - 4*i = 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6073 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 - 7*t + 6. Let n(w) = 2*w**2 - 6*w + 5. Let o(d) = 6*g(d) - 7*n(d). Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16627 - -16551) + (-5 - (2 + (3 - 2 - 3)))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67602780.\nAnswer: 2, 3, 5, 7, 53653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (12 + -19 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 7*s**2 - 16*s - 42. What is the hundreds digit of u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 = -4*x + 26, -3*x + 10 = 4*u. Solve 5*o - 8 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 16*b - 16*b)*(-3*b**2 + 9*b**2 - b**2) + (-2*b + 4*b + 4*b)*(-b**2 + 4 - 4).\nAnswer: -171*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 600 and 40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1028*f*n*t**3 - 1387*f*n + 1052*f*t**3 + 3*f*t**2 + 3*f*t + f - 97*t**2 wrt n.\nAnswer: -1028*f*t**3 - 1387*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42980 + 35686 - 19028 = 491*v + 6119 for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -1.58. Let x = f + -2. Let d = 0.2 - x. Round d to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 552 + -552.4. What is the closest to 1 in g, -1\/8, -6\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -75 - 225. Let f = p - 218. Let s = 539 + f. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -16*r**3 - 17*r**2\/2 - 36*r. What is the tens digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 20.86, -4, 73, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/20)*r**1)\/(r**(-3\/11)*r\/r**(-2\/33)) assuming r is positive.\nAnswer: r**(41\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93282105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3325665 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74494*g**2 - 2*g**3 - 74494*g**2 + 14*g.\nAnswer: -2*g**3 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345529549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/7 + 7726*z**3\/7 - 238032*z**2\/7 + 1716224*z\/7 + 1961984\/7 = 0.\nAnswer: -1, 16, 3832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -10. Let i(k) = -k**2 + 7*k + 15. Let y be i(9). Does 13 divide 1*24 - y - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 + 5*r - 7. What is q(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v + 1. Give p(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145759 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11057735 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 4 - ((-48)\/(-54) + 1). Let k = b + 7\/18. Factor 0 + k*w**3 + 9\/2*w**2 + 0*w.\nAnswer: 3*w**2*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 + -19)*(-6 + (-77)\/(-14)). Sort -86, w, -3 in ascending order.\nAnswer: -86, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*b - 3 + 3 + (-2 + 2*b + 2)*(1 - 2 + 0))*(142*b - 142*b + 17*b**3) to the form q*b**2 + f*b + d + h*b**3 + s*b**4 and give s.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + 2*d - 2*d)*(757*d + 997 + 753*d - 1505*d)*(0*d - 2*d + 0*d) to the form f + a*d + s*d**2 + b*d**3 + m*d**4 and give b.\nAnswer: 3988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 3*r - 30. Let g(d) = 2*d**2 - 4*d - 30. Let c(w) = 3*a(w) - 2*g(w). Let l be c(-9). Suppose -37 = -2*j + l. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2) - 10)*1. Let t = i - -36. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16140 and 5111.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -456.91 + 461. Let l = -0.09 + p. Which is the closest to -0.1? (a) -4 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 - 997*q - 32938. Give a(-42).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -3*q, q - 2*c + c = 0. Solve -d = d, 8 = q*g - d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 14*w**2 + 10*w - 15. Let b be h(-13). Suppose 20 - 6 = -z. Let i = z + b. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81563?\nAnswer: 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1969*g - 61038. Determine w(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 46. Let b = 21 - k. Let l(u) = u**3 - u**2 + u + 2. Determine l(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, q: 7}. Give prob of picking 4 q.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540*c + 15 - 34 + 19 to o + h*c and give h.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(1072\/80 + 14) + -8 - 112\/14.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + 15)\/((-7)\/(-2)). Solve -9*b + 5*a - 23 = -m*b, 4*a = 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0280823*-3.\nAnswer: -0.0842469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h - 0. Let a = h - 5. Is -2 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:58 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 4*u - 4 - u. Let n(c) = c**3 + 7*c**2 + 4. Let g be n(-3). Suppose 5*w = 5*j + g, 0 = -4*j + w - 3*w - 2. What is q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -11. Let b = -47 + f. Let y be 10\/8*(-48)\/(-30). Sort y, 11, b, -5 in descending order.\nAnswer: 11, y, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 + 4343*g**5\/60 - 4885*g**3\/6 - 6*g**2 - 29*g - 2. Differentiate i(b) with respect to b.\nAnswer: 3*b**2 + 8686*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 5*d = 25, -4*g + 4*d = 20. Suppose -27*l - 160 = -32*l. Suppose -4*k = -g*k - l. Solve -k = 4*h - 4*z, z + 7 + 3 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1056\/(-80) + (-18)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 - 17*p**2 + 11*p**2 + 24*p**5 + (5*p - 5*p - p)*(-4*p**4 + p**4 + p**4) - 2*p**5 - 2*p**5 + 5*p**5 - 2*p**5 + p**5 + 0*p**5.\nAnswer: 26*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583407 divided by 194469.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(2*j - j + j) + 10*j - 2*j + 0*j - 4*j - 4*j + 5*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362013 is divided by 5150.\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180013771 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*3\/(-4). Let d(v) = 4*v + 4. Let z(c) = -11*c - 12. Let y(w) = -8*d(w) - 3*z(w). Let o be y(-5). Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359614*d - 110 = -359624*d. Suppose w - 5 = 6*w. Put d, 2, w in increasing order.\nAnswer: w, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*i**3 - 11346*i**2 + 395778*i**4 + 105*i**3 + 238328 + 226796*i - 395779*i**4.\nAnswer: -(i - 62)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265.430016323 - -265.43. Round r to 7 decimal places.\nAnswer: -0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let d(x) be the second derivative of -4*x**3\/3 + x**2\/2 + 3107*x. Give d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 23, 63, 149, 299?\n\"Answer: 3*k**3 - 4*k**2 + 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3 - 19*r - 22*r**3 + 3*r - 6*r wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - 10\/(-6). Sort 0.1, b, 3.\nAnswer: 0.1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2202021233 + -10?\nAnswer: 2202021223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/66 and -97\/1290.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (34 + -17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*z - 2 = -13, 23 = 4*d - 5*z. Let r be -2 - (3 + -5 - (d + 38)). Let -195*x**3 - 40*x**4 - 5*x**4 - 180*x - r + 7 - 290*x**2 - 7 = 0. Calculate x.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2. Let q(g) = g**2 - 3*g + 3. Let v(f) = -f**2 + 4*f - 4. Let w(b) = -4*q(b) - 3*v(b). Determine w(h(m)).\nAnswer: -121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2345 (b) 1 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -990 + 13847\/14. Calculate the common denominator of k and -45\/1942.\nAnswer: 13594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 243, 439, 781, 1317, 2095, 3163?\nAnswer: 4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*k + 258186, 35*k - 31*k = 4. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g - 9. Let o be u(9). Calculate the highest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:58 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001288015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6968)\/(-3))\/2*(-21)\/(-14). What is the greatest common factor of 134 and p?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016883 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m - 3)*(633 - 42*m - 318 - 312).\nAnswer: 42*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from ymycd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 1. Suppose -2*a - 36 = -3*w, -2*w + 61 - 12 = -3*a. Let u = -17 - a. Determine i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 540. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3770*q**2*x**3 - 2*q - 2572*x**3 wrt q.\nAnswer: -7540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 11:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let k be 3\/a - -2 - 3. Solve -2*b = 5*l - 10, k*l = 2*b - 4*l - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (221 + -219)\/(0 - 9\/6). Put -6091, 5, l in descending order.\nAnswer: 5, l, -6091","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/12, 2, -39, -0.2, 4, -884?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.0206 + 0.0206. Let r = -44.4 - f. Which is the nearest to -1? (a) -2\/3 (b) -4 (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*v**2 - 241*v**2 + 706*v**2 - 238*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 152*v - 163*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.073 (b) -0.98 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4703834 (base 10) to base 11\nAnswer: -2723073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 - 215. Let f = 96.79 + a. Round f to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 653534.76 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 134\/14)\/((-478)\/(-98) - 5).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 78.000001086. Round o to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 20*y - 19*y - 2*y. Let s(o) = -63*o. Give p(s(f)).\nAnswer: 63*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 7 + 6 + 5 + 2. Let x be h(-3). Solve 4*c + x = -2*g, 3*c + 10 = 3*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -5589a9?\nAnswer: 5589a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34124 and 41308.\nAnswer: 784852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Let d = y - 0. Let t = d - -0.2. Put 2, -4\/9, t in descending order.\nAnswer: 2, t, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 454 - 271 = 0. What is k rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 95506 + 104134 = -16*m. What is m rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36.4? (a) 8 (b) 3\/5 (c) -20 (d) 4 (e) 0.3 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 10*a = 6. Let p be (2*-2)\/((-3)\/a). Suppose 3*l - 5 = p*w - 9*w, l = -5*w + 5. What is the third smallest value in l, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 9. Let g be x(6). Suppose g*w = -0*w + 186. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.6 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -1. Suppose 0 = 6*c - q*c + 48. Let b be 4\/c*(15 + -3). Solve 3*j + 13 = m, b = -5*j + m - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*m + 74 = 0, -3*t = -5*m - 2 - 36. Suppose 8*o + 72 = t. Let r(d) = d**3 + 6*d**2 + 10. Determine r(o).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1589510810*g**4 - 189*g**2 - 2*g + 1653101?\nAnswer: -38148259440*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*t**2 - 55.\nAnswer: 132*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -109 - 63 - s**2 - 19*s - 13*s. Let t be c(-25). Solve -5*n + 5*q + 20 = 0, -5*n = -t*n + 3*q + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5823*l = -5892*l + 276 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 30*q = -8. Suppose -5*d = -2*l - 37, q - 31 = -4*d + l. What is the units digit of ((-15)\/2 + d)\/((-1)\/514)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99746579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 605 = -34*c - 79 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20002 (base 3) to base 13\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113499477 a multiple of 2919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = 4*r - 164, -4*j + 319 = 5*r. What is the greatest common divisor of j and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 minus 8.9?\nAnswer: -580.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -12, -3, -993, -10 in decreasing order.\nAnswer: -3, -10, -12, -86, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, 0.04, -5312?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -9.5 (b) 76 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/(-114)*(-5)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - 27*c**2 + 27*c**2 + (-2*c**2 - 4*c**2 + c**2)*(-3*c**2 - c**2 + 2*c**2) + (c**2 - c**2 - 2*c**3)*(-6*c + 3*c + c) + 8 - 8 + 3*c**4.\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191 - -1016. Suppose -f = 10*n - 3355. List the prime factors of n.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 29427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131, -264, -399, -536?\n\"Answer: -m**2 - 130*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkbzsb. Give prob of picking 2 z and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*g = 3*m + 386*g - 1, -5*g = 2*m - 16. Sort 144, m, 0, 2, -3 in increasing order.\nAnswer: -3, 0, 2, m, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3510 - 102413?\nAnswer: -54503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) -0.05 (b) 16 (c) 0 (d) 13 (e) -1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 41 = -5*p, -3*p + 2430*i - 25 = 2432*i for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*b - 34 = -w, w = 3*b - 20. Let o = 15 + w. Find the first derivative of o + f**4 + f**4 + 0 + f**4 wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 62*z**2 - 128*z - 7. Determine s(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 247*q - 229. What is the tens digit of o(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -202996809.1 to the nearest 100000.\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-450)\/(-21))\/((-6)\/(-28)). What is the second derivative of -26*r + 9*r**2 - 49 + d - 52 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 755 (base 14) to base 5\nAnswer: 21242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*k**2 + 324081*k.\nAnswer: 3*k*(10*k + 108027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 100?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let r(s) = -4*s + 17 - 9 + 7*s + s - 11. Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 50. Let l = 53 + n. Let c = l + -38. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4053 plus -4?\nAnswer: -4.4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-3\/14)*x*x\/((x\/x**(2\/47))\/x*x)*x*(x**(-6)*x)\/x**(-22) assuming x is positive.\nAnswer: x**(13047\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 7, u: 1}. What is prob of sequence sm?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -19*l + 144. Let u(i) = -2829*i + 21459. Let m(d) = -2*u(d) + 299*v(d). What is m(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**3 + 32 - 3*v + 39*v**3 - 32.\nAnswer: -9*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((-56)\/(-7))*1\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.221 - 4.459. Let x = 5 + c. Let n = -13 + 8. What is the smallest value in x, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146299.8nm in meters?\nAnswer: 0.0001462998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o - 3*v, o - 38*v = -34*v + 5. Factor 0 + 2\/11*m**2 + 6\/11*m**3 + 2\/11*m**o + 6\/11*m**4 + 0*m.\nAnswer: 2*m**2*(m + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -995 * -3986\nAnswer: 3966070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 - a**3\/6 - 10*a. Let s(g) = -9*g**2 - 8*g. Give -3*s(h) + 24*u(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 4*v**2 + 2*v - 2. List the prime factors of l(3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31)\/(-8) - 7\/(-56). Let c be (22\/r + -4)*(-8)\/(-12). Solve -s + 1 = 5*y, -s + c = -3*y - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76044510497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 12*r - 7. Let s be z(-11). Let w(c) = -c**3 - 5*c**2 + 3. Let j be w(-5). Differentiate -j + m + 9*m + s - m wrt m.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10394 = 17*y + 6*y - 10624 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -3*q - 3*q. Let v be 91\/q*(-5 - -3). Put 0, -5, 4, v in ascending order.\nAnswer: -5, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.9 + 101. Let q = -22.4 - m. What is the third biggest value in 3\/4, -0.28, q, -0.3?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 900 + -509. Suppose -2*w + 0*r = 5*r - y, -5*w - r = -943. Let d = -73 + w. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1420 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114215788.\nAnswer: 2, 547, 52201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*((-10)\/12 - (-1)\/3). Suppose 0 = 2*y - g*t - 286, 4*y - 4*t + 5*t - 545 = 0. Suppose 13*r - 6 = y. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d - 29*d - 11*d**2 + 2*d**2 to the form h*d + v + j*d**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1294\/9 in 0.1, -3\/8, -0.3, 0.7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from iiigximixs?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f32 (base 16) to base 11.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*c - 62675 + 62363 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**2*(((n*n**1\/n)\/n)\/n)\/n*((n\/(n\/n**(-5)))\/n)\/n assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:03 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*3)\/(24\/(-128)). Let y be (b + 7)\/((-3)\/2). Are y and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 + 186*v**3 + 6387*v**2 - 2350016*v + 93555924 = 0.\nAnswer: -114, 73, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -9 + (-11 - (-4 + 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106137961.\nAnswer: 106137961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 148\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 82. Is -3*(-1481)\/m*(2 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4437250*a - 4437250*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*s + 2*t, 3*s - 30*t + 28*t = -9*s - 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127242 or -130097?\nAnswer: -130097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/2 - 2718*y - 1231254 = 0 for y.\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -79465*u**2. Let y(h) = -5*h**2. Determine m(y(d)).\nAnswer: -1986625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 11 = -3*w, -2*c + c = -w + 5. Let i(p) = -p**2 - 5*p + 4. Calculate the remainder when ((-153)\/17)\/((-2)\/w) is divided by i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84036)\/(-2350) + -47 + 3 + 9\/3 + 5\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113090500 at most 113090501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let d = -38 - -126. Let l = d + -90. Put q, l, 0.02 in descending order.\nAnswer: q, 0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r - 3. Suppose -3*i - 4*k - 11 = 4, 0 = -k. Let h = 25 + -17. Let o(x) = 4 + h*x - 8 + 0. Calculate i*a(f) + 4*o(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991792 is divided by 858.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -299834 divided by -197?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3676849, -7353692, -11030533, -14707372, -18384209?\nAnswer: -22061044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -103, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -166, -5, 0.4, 70?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(99))*-1 + 2 + 0)**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 4076\nAnswer: -44836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 - (24 + -32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 0.24. Let r = 5 - 1. Let y be (5\/r)\/(-5)*-1. Is y at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 722\/(-171) + 0 + 4\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 14762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-52))\/(1\/((-24)\/(-9))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 4. Let s be h(3). Let w = -5 + s. Suppose 3*y = 4*z + 17, w = 3*y - y - 2*z. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42280484 divided by -267598?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -3.56 (b) -0.4 (c) 421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, o: 5, t: 6, c: 1, n: 3}. Give prob of sequence nnoo.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 22*z**3 + 0*z**3 - 12.\nAnswer: 22*z**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 - i + 2. Let f = -19 - -26. Suppose -3*c - n - f = 0, 3*c = 2*c + 4*n + 2. What is h(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729 divided by 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 1203, 1087, 925, 717?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/4, 503, 0.2, 50.\nAnswer: -43\/4, 0.2, 50, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60574 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxxxxrxxx. Give prob of picking 2 r.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 23, 1\/44, -4, 16\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 212144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/f)\/(f*f\/f**(-1\/13))*((f*f**(4\/3))\/f)\/(f\/(f**(-3\/4)*f)) assuming f is positive.\nAnswer: f**(-3343\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 256*j**3 - 8895*j**2 + 94716*j - 210924.\nAnswer: -(j - 217)*(j - 18)**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 - 3*m + 4. Determine i(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 7396.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 25*x - x**2 + 1295*x**4 + 6 + 12*x**2 - 1296*x**4 - 10 in the form d*x**4 + y*x**3 + u + z*x**2 + t*x and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svihhi. What is prob of picking 2 i and 1 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61355 and 92891470?\nAnswer: 92891470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*a - 5, 5*g - 5*a = 66 + 39. Suppose g*c - 19*c - 4454 = 0. Let t = -1124 - c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1290950 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182055294?\nAnswer: 2, 3, 10114183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -458*q**2 + 2*q + 67?\nAnswer: -916*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -28) + -3 + 26\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 - 3*z**2 - 4*z - 7. Let m be j(-3). Suppose -347 = -2*k + m. Let i = -126 + k. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(2*w - w - 2*w) - 3*w + 4*w + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 1271889*y - 1271886.\nAnswer: -3*(y - 423962)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412910118 to the nearest integer?\nAnswer: 20320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -91065412*v. Let p(r) = 2*r**2. What is p(d(s))?\nAnswer: 16585818525459488*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 41 - 9 = 0. Let j(p) = 3*p**3 + 8*p**2 - 14*p - 2. What is the hundreds digit of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251228136 by -83742712.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + -6 - 27\/3. Suppose 2*f + s + 1 = y, -4*f + 8*s = 3*s - 5. Solve f*d = 4*d + 8, 0 = -3*t + d - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(((-78)\/(-12))\/13). Let c(n) = -30*n + 2. Determine c(o).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = 15*l - 5*j, 5 + 1 + 6 = -8*j + 6*j + 4 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9ab2c7 (base 15) to base 11\nAnswer: 418a545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*n**2 + n**5 + 8*n**4 - 31*n**2 + 16*n**3 + 58*n**2.\nAnswer: n**3*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2415 - -2414.3. Let n = -6 + 7. Which is the second smallest value? (a) l (b) 0.2 (c) -5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -17. Which is the nearest to z? (a) 5 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3701 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -21) + -6 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*18\/(-15))\/(6814\/(-17035))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**3 - 49*b**2 - 6*b + 9. What is n(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) - (2*-3*sqrt(693) - sqrt(693) - sqrt(693)))\/((3*sqrt(99))\/sqrt(9)))\/(((-2*sqrt(72))\/sqrt(4))\/(sqrt(100)\/sqrt(2))).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -130*i + 7029. Calculate the remainder when 715 is divided by f(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, 1\/6, 0.4, 19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 10, -3*p - 4*k = -0*k + 8. Sort -1, 0.2, p.\nAnswer: -1, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*r = -144*r - 568. Let y(o) be the first derivative of 2*o**2 - 19*o + 5. Determine y(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:50 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/11))\/(w*w**(-15)\/w*w))**40*(w*w**(2\/3)*w**(-2)\/w)\/(w*w**2*w)**(-44) assuming w is positive.\nAnswer: w**(27124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513061?\nAnswer: 23, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/312 - (-3)\/((-39)\/(-28)). Is 1 + a + 278992\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 104 - t**2 + 8*t - 102 - 6*t**2 - t**3. Suppose -5*p - 40 = -0*p. Let i be k(p). Solve i*y - 4 - 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j + 2. Suppose 4*t - m = 109, -3*t - 5*m + 17 + 59 = 0. Let d(h) = -12*h**2 - 27*h - 27. Calculate t*k(p) + 2*d(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-7\/10)*c*c*c\/c**(1\/4))\/((c*c*c**(-5))\/c)**(2\/33) assuming c is positive.\nAnswer: c**(2833\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -781140 divided by 60\nAnswer: -13019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7950 + -7767. Solve 0 = -20*j + p - 143 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*r. Suppose 0 = r*s - 7*s + 36. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263?\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 3:17 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 313262779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/9, -5, 0.05, -22?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c)**2*c*c**6*c*c**5\/c assuming c is positive.\nAnswer: c**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 10. Let o be p(8). Suppose -7*n + 15 = -o*n. Suppose -3*r + 1746 = -n*d, 2*r + 3*r = -5*d + 2860. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69353, -277442, -624259, -1109804, -1734077, -2497078?\nAnswer: -3398807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -3, -8, 49, 2 in increasing order.\nAnswer: -41, -8, -3, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1450253413 - 0?\nAnswer: -1450253413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -5, -167, 274?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 381321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*s**3 + 427936*s**2 - 14*s + 319813?\nAnswer: -426*s + 855872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**16*f)\/(f\/(f\/(f\/(f**(-2\/25)*f*f*f)))))**(2\/125) assuming f is positive.\nAnswer: f**(946\/3125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 412?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0.07, 4\/7 in descending order.\nAnswer: 4\/7, 0.07, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 25 = b - 2, 3*b - k = -43. Let u be (84\/20)\/(3\/b). Let i be (-14)\/(-30)*(-6)\/u. What is the second smallest value in i, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:45 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3761, -3782, -3805, -3830, -3857?\nAnswer: -3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*o - 38. Suppose -o*g + 11*g = -153. Calculate the lowest common multiple of 4 and g*(-6)\/(-9) + -2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 13*o + 6. Let i be t(6). Let d(s) = 0 - 6 + i*s**2 + 6*s + 2*s**2 + 4. What is the remainder when d(-5) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 + 6*(-50)\/(-60) is divided by 9\/15 - 82\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04884 plus 20.1?\nAnswer: 20.05116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -32*m - 1342. Let d be o(-42). Let h = -15 + 19. Solve 18 = 2*w + h*a, -a - 4*a = -d*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3300 + -11032?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - b - 6, 4*m = -0*b + b - 18. Let k be 28\/21*(-18)\/m. Is (92\/k)\/(4\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/15)*w*w*w**10\/w assuming w is positive.\nAnswer: w**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**7\/((a**(-3)*a)\/a**(-3))*((a**0\/a*a)\/(a\/(a\/(a\/(a*a\/(a**(-4)*a))*a))*a))\/(((a*a**4)\/a)\/a*a\/(a**(-1)*a)) assuming a is positive.\nAnswer: a**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (-13 - -40 - -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10891*t**2 + 230*t - 1 + 5441*t**2 + 235*t + 5452*t**2 to k*t**2 + i + n*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1130 + -1135. Sort 13, q, 1 in ascending order.\nAnswer: q, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcw when three letters picked without replacement from fcwfffwfwwfcffcf?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56\/135 - 2\/135. Which is the third biggest value? (a) 3\/4 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**29\/((y**(2\/3)\/y)\/y**(-20)))**(-38) assuming y is positive.\nAnswer: y**(22306\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6725088 is divided by 611348?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(675) + 5)*-5)**2.\nAnswer: 33750*sqrt(3) + 157500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 24. Solve 0 = 3*q - 5*f - 5 + 27, 3*q = 3*f - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 1, p: 3}. What is prob of sequence vv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 12*c + 17. Determine w(16).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Let x be 0 - -5 - (-2 + 3). Suppose -5*z - 2*d + 119 - 107 = 0, 0 = -2*z + 5*d + 28. Solve 4*c - 20 = z*u, -s*u - x*c + 2 = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69724, 139443, 209168, 278905, 348660, 418439?\n\"Answer: z**3 - 3*z**2 + 69721*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -56\/3*y**3 - 48*y + y**4 - 97 + 50*y**2. Factor k(b).\nAnswer: 4*(b - 12)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((2 - -1) + 0). Solve -3*p = -5*i - 5, 6*p - p - 3 = x*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 10 = 14. Let j = 11 + u. Let w = 0 - -8. What is the remainder when w is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/7, 3, 12\/5 in descending order.\nAnswer: 3, 12\/5, 1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -662*k**3 + 662*k**3 + 17*k**5 - k**5 + 2*k**5 + 0*k**5 + (-3*k**3 + 6*k**3 - 2*k**3)*(5*k - 5*k - 2*k**2).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -46*2\/(-22) + (-28)\/154. Calculate the highest common divisor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127765230 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 + 14*w - 7. Give j(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 0) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 41\/20*p**5 - 26*p - 33\/4*p**4 + 0 + p**2 + 0*p**3. What is the second derivative of x(h) wrt h?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8)*-2*28\/(-3). Solve -x = -3*t + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -4 (c) 0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6*r + 8 = -j, 2*r - 8 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3605*d - 2. Let j(f) = -22*f. Calculate c(j(y)).\nAnswer: 79310*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-147 - -175) + 5 + -37\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -200010202022 (base 3) to base 8\nAnswer: -1271245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*h**4\/10 - 18*h**3\/5 + 33*h**2\/10 - 2*h\/5 = 0. Calculate h.\nAnswer: 0, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 33*o**2 + 73*o + 152. Calculate y(-35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18921611 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + ((5 - -17) + -22 - -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 35. Suppose -5*w = -x*w + 12. Let z = 70 - w. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 801*a**2 + 4*a + 806*a**2 + 8 + (-2 - a**2 + 2)*(5 - 2 - 1) - a**2 + 0 + 0 as w*a**2 + t*a + r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*s - n - 7, 4*n = 4*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 0.0282412 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 125*p + 22. Let x(a) = -94*a - 22. Let t(y) = 3*b(y) + 4*x(y). What is t(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19*l + 5. Let b(c) = -10*c + 3. Let n(z) = -9*b(z) + 4*p(z). Differentiate n(w) with respect to w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 10 - -10 - -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 21. Let k be p(-11). Let m(b) = 24*b**3 + 2*b**2 - 3*b + 1. Let j be m(k). What is the highest common divisor of j and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306437 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000179905 to six dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851223 is divided by 69.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10 - 3 + 2*l**2 + 7*l**2 + 5 wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18403.1 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -2723817.\nAnswer: -2723816.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -2, -10, -32, -74, -142?\n\"Answer: -t**3 + 2*t**2 + t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2816.3 to the nearest ten.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 + 4 = 0. Let h be (1 - 6\/4) + l\/(-2). Let d = -1 - -2. Which is the closest to h? (a) 2\/9 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1133229\/38092 + 2\/9523. Let w = m + -30. Which is the closest to 0? (a) 1\/5 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010 - 11100100?\nAnswer: -1001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 3 = 44*d + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 2, z: 2, t: 4, e: 7}. Give prob of picking 1 i, 1 e, and 2 z.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1617002, 3234031, 4851086, 6468167, 8085274, 9702407?\nAnswer: 11319566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8922123 to 3 decimal places.\nAnswer: -10.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -4, 5, 1, 393 in decreasing order.\nAnswer: 393, 5, 1, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/5*(-4)\/(-14). Suppose 5*q + 5*y = 5, 0*y - y = -4*q - 16. Sort 0, q, v.\nAnswer: q, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/11*4\/((-768)\/120)*132\/(-15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -11) + 2 - 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0 + 2*t**2 + 0*t**3 + 0*t + 0*t**4 - 1\/30*t**5. Let z(c) be the third derivative of -5*c**4\/24 + 322*c**2. Give z(i(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-20)*41\/(-164)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.214 - -14.264. Let u = -6.82 + s. Round u to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(2 - -2). Let v be (-1 - 1) + (t - 0). Suppose 2*p + 0*p - 4*q + 6 = 0, -5*p + 4*q + 3 = v. Calculate the least common multiple of 1 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*r**4 + 61*r**3 - 24*r**2 + 49754 wrt r?\nAnswer: -52*r**3 + 183*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 38. Sort -1, 3, h in descending order.\nAnswer: 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) - sqrt(36))\/sqrt(4) - (sqrt(36) - sqrt(36)*-2))*-3)\/(6*(5*sqrt(45)\/sqrt(5))\/sqrt(3)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, -24, -2258, -7158, -15612, -28508, -46734, -71178?\nAnswer: -102728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 + t**2 - 20*t + 105. Determine s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.3, 195, -8, -3.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.26 (b) 0.5 (c) -0.1 (d) -23 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 11*p**4\/32 + 2231*p**3\/16 - 609*p**2\/8 + 51*p + 2. Suppose i(b) = 0. What is b?\nAnswer: -203, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354 + 701. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 + 14 = 0. Which is the biggest value? (a) -0.4 (b) 1\/2 (c) j (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418483005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 13716?\nAnswer: -41148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/3957 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 2*c**2 + c - 2. Let b be q(0). Let n be (((-36)\/15)\/(-3))\/(b\/(-565)). Round n to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 97*y**2 - 50 + 167 - 51.\nAnswer: 97*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-462)\/12))\/((-2)\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 7*c + 2. Let y be k(8). Suppose y + 38 = 8*n. What is the third derivative of 0*r**n + 13*r**6 - 10*r**2 + 24*r**2 wrt r?\nAnswer: 1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222*b**2*q**3 - 297*b**2 + 127083*q**3 wrt b?\nAnswer: 444*b*q**3 - 594*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from {v: 3, q: 5, u: 3, b: 3, l: 2}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)\/s)\/s**17)**(10\/17) assuming s is positive.\nAnswer: s**(-375\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105871*d + 108 = -105853*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76296766 a multiple of 1648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -181. Calculate the common denominator of 61\/9 and 3 - 1 - p\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -16099.\nAnswer: -159\/16099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 233050 and 60593?\nAnswer: 3029650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*g**3 - 2*g**2 - 327*g wrt g.\nAnswer: -1266*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3146 = 3*u - 2*y, 3*y = 15. Suppose -u = 6*j - 5545. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 3096364?\nAnswer: 27867276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:23 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 7. Let c be o(8). Let f be c + -2 + 7 + -9. Let j(w) = -w - 3. Let i be j(f). Solve i = z + 5*a - 20, 0 = -2*z + 3*a - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514 + -6\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.4737 - -30.5196. Let a = c + -106. Round a to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 620*u**2 + 161*u + 2867103?\nAnswer: 1240*u + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 2919013.\nAnswer: 2919013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 60*a - 399. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 378 - 409 - (6 - 5 - -2 - -2)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861 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: Which is bigger: -1179 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*u + 40, 642 = -3*u + 570 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/33, 0.2, -3, -0.03, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-6 - 2*s - 14 + 25).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Suppose 5*w + 519 = -4*g, 0 = -3*w - 2*g - 461 + 150. Let y = w - -105. Solve 5*a - 3 = y*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/3 - 764*w - 1. Let v(r) = 5*r - 3. Let k(l) = -4*l + 2. Let p(x) = -6*k(x) - 4*v(x). Determine b(p(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2334 in -8, -2, 32\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.377602t?\nAnswer: 5377602000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435 - 435. Suppose 3 = -n*k - 3*k, -5*w + k + 46 = 0. Let i be 4*(-3)\/(-6) + 5. Solve -26 = -5*b - z, -i = -4*b + 4*z + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28073631?\nAnswer: 3, 31, 301867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0.1 (c) 1\/127257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28805 and 115220?\nAnswer: 115220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1650, 21, 3, 77 in increasing order.\nAnswer: 3, 21, 77, 1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -23.\nAnswer: -42\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 888492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318190 or -318196?\nAnswer: -318196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367*k**4 + 541 + 10*k - 9*k - 1775 wrt k.\nAnswer: 1468*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let r(z) be the first derivative of -149 + 13*z + 45 + 22*z**2 - 11*z. What is h(r(k))?\nAnswer: -1936*k**2 - 176*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-4))\/(-19*69\/(-3496))*-1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.355 + 0.35500021785. Round z to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*r = -2549 + 2570, 5*a = 3*r + 52. Solve 4*z = -2*c - 6, a*c = -32*z + 37*z + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18394 - -404737\/22. Calculate the common denominator of t and -43\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0806 - 2.9194. Put q, -0.2, -4, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297068 is divided by 99015.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98.85 - 98. Let r = -0.95 + t. Which is the second biggest value? (a) -2\/21 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/2 + 19*x**4\/2 - 394*x**3 - 4712*x**2 + 79456*x - 74360 = 0.\nAnswer: -26, 1, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10550 is divided by 5143.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjunapngggn. Give prob of sequence aj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48206.43+1\nAnswer: 48207.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 42 - 76 + 36. Calculate q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 - 1768*u + 93 + 96 + 93 + 1803*u.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1238 - 8*i - 1238. Let k(p) = 5*p**2. What is n(k(g))?\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -32*y**3 - 20*y**2 - 2. Let o(d) = -5*d**3 + 2*d**2. Give -6*o(i) + x(i).\nAnswer: -2*i**3 - 32*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.91 + 1.09. Let v = -59.1 + r. Let p = 0 + -2. Sort 1\/3, p, v.\nAnswer: p, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.227 - -0.027. Let m = -27 - i. Round m to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/6 + 8*t + 6. Let g(h) = 2*h**2 - 192. Determine g(q(w)).\nAnswer: 2*w**2 - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*u + 14, 3*u + 13*n - 17*n - 22 = 0. Solve 17 + 3 = -3*v - 5*t, 3*v = -u*t - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19702765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183\/20 - 985\/108. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 1331776 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0941, 0.2, 0.04, 17, 0.3.\nAnswer: 0.04, 0.0941, 0.2, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -521*t + 499. Let i be d(-14). Suppose i = 44*o + 1545. Calculate the greatest common factor of o and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2912)\/156)\/(2\/111). Round h to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 - -4 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6411 is divided by 1064.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10100011000 (base 2) to base 7\nAnswer: -3542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 91. What is l(-28)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 2525 + 2528 - 5052.\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351 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: Evaluate (257 - 150) + 48 - 300.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 2. Let v(z) = -4*z**2 + 3. Give r(f) - v(f).\nAnswer: 3*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0668238 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d7 - -56?\nAnswer: 23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-6)*9\/6. What is the third derivative of 27 + 2*y**2 + g*y**3 - 27 - 8*y + 117*y**3 wrt y?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 102. Let q be (((-54)\/36)\/(1 - w))\/(-1). Which is smaller: 0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-2)*(-336)\/(-1428)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/730 and 2 - ((7623\/14)\/(-11) + 6)?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -3, 17, 53, 105, 173, 257?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 352 = -4*g - 5*y, g - 88 = -2*y. Let t = 61 - g. Let i = -10 - t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a**2 - a + 35 + 34 - 69.\nAnswer: -48*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -766944*z**3 + 2*z + 933317?\nAnswer: -4601664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Suppose -v*r + 4*g = -6, -r - 14 = -3*g + 7*g. Let y(f) = -f**3 - 2*f**2 + 3*f - 2. Let s be y(-3). Is s at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820.43661 rounded to zero dps?\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-200)\/120*9\/(-5). Suppose -369*z + 366*z = y. Let k be -2 - (2 - (-88)\/(-30)). Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 23. Let f(w) = -9*w**2 + 15. Let y(z) = -z**3 - 17*z**2 + z + 31. Let d(c) = g*f(c) - 3*y(c). Determine k, given that d(k) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-41)\/(-2) - (-2 - (-30)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:54 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/42*(-5 - -19). Let c(q) be the second derivative of -q**3 - 1\/12*q**k - 2*q**2 + 0 + 4*q. What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135756, -271517, -407280, -543045, -678812, -814581, -950352?\n\"Answer: -w**2 - 135758*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 31. Suppose 184 = 3*i - u. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986 = -2*i - i. Let s = i - 391. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19161 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-8)*(-13048)\/125587?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*p**4*u - p*u - 69*u with respect to p.\nAnswer: -172*p**3*u - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438591196?\nAnswer: 2, 7, 7339751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.09 (b) -1 (c) -48.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 9. Let y(c) be the second derivative of c**3\/6 + c**2 + 13*c. Let o(w) = 2*p(w) + 9*y(w). Let i(n) = 11*n**2. Calculate o(i(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2761000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**3 + 2*t**2 - 1. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5 - 2 + 6 - 3 + 2 + 1 - 2 + (0 - 1 - 2)*(-1 - 1 + 3))*(-2*p**2 + 0*p**2 + 3*p**3 + p**3).\nAnswer: -12*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 210975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/1257 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + k)*(-k**4 - 3*k**2 + 3*k**2) - 162*k**4 + 8*k**2 - 3*k**5 + 162*k**4.\nAnswer: -2*k**5 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 29*v**4 - 61*v**3 + 37950*v**2 wrt v?\nAnswer: 120*v**2 + 696*v - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/(h**(-7)\/h))**6*(h**2\/h)**(-2\/17)*h**(4\/9)\/h**(-2\/23) assuming h is positive.\nAnswer: h**(159811\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6 - 6. Let n be 6\/x*2*2. Suppose 4*g + 3*u = 66, -4*u = 235*g - 233*g - 18. Solve -5*w = g - n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411680.\nAnswer: 2, 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232 - -4?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1329, 1294, 1229, 1128, 985, 794, 549?\n\"Answer: -d**3 - 9*d**2 - d + 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 5. Let u be c(-18). Suppose -2*p - 43 = u. Let m = 76 + p. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 35 = 4*w, 2*w = 19*q - 111 + 178 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 16870*b**2 + 168600*b.\nAnswer: b*(b + 10)*(b + 16860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3220 and 280.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 905428000 to the nearest one million.\nAnswer: 905000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1644c0 (base 13) to base 6\nAnswer: 15500503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 4 = -13*m. Solve -3*f + 1 + m = 4*j, -f = -3*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 205, 15, -1 in increasing order.\nAnswer: -1, 15, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 2. Let c be (2 - (-4)\/(-3))*-3. What is the units digit of v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3115\/3*v + 55\/3*v**3 - 490 - 800\/3*v**2.\nAnswer: 5*(v - 7)**2*(11*v - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -465, -1.8, 1\/11, -2\/5?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5043973379?\nAnswer: 2203, 2289593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16449, 32884, 49293, 65664, 81985?\n\"Answer: -2*r**3 - r**2 + 16452*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19714, -19709, -19704, -19699?\n\"Answer: 5*u - 19719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61283 + 15870. Let c = -45413.200001 - s. Let k = c - -0.2. Round k to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*a**4*u + 2*a**4 - 848698*a**3*f*u - 7*a**2*f*u - 2*a**2 + 61*a*u + f*u + 123*f - 27*u wrt a.\nAnswer: -384*a*u + 48*a - 5092188*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -q + p, 0 = 2*q + 4*p - 4. Solve 2*d + 5*o - 25 = 0, -q*o + 49 = 5*d + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -2*n + n. Suppose -5*p + n = -t, 4*p - 185 + 29 = -t. Let f = 25 - 12. Calculate the remainder when p is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168730 is divided by 20843.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449 - 1457 = -8*f. Let k(c) = -c**2 - 5*c**2 + c - 5*c**2. Determine k(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -1\/9, 0.4, -0.05, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*q**2 - 3*g**2*q + 10476*g**2 + 188*g + 44*q**2 + 2*q wrt g?\nAnswer: 4*q**2 - 6*q + 20952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 47?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 1. Let r(m) = -6*m**2 - m + 1. Let n be r(1). Let a(c) be the second derivative of c**3\/3 + c**2\/2 + 2*c. What is n*a(l) + 5*v(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, u: 7}. Give prob of sequence cuu.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2040)\/223380*-1*(3 - 0)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 - 22*t**2 - 6*t - 9. Let v(z) = 8*z**2 + z + 1. Give g(i) + 6*v(i).\nAnswer: 5*i**3 + 26*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 6)*(-2*h - 3*h + 10*h)*(1 - 1 - 1 + (-5 + 3 + 1)*(-1 + 10 + 16)) as c + v*h and give v.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12055 or -12040?\nAnswer: -12040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 260543702 to the power of 1\/2, to the nearest integer?\nAnswer: 16141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*k - 1\/5*k**3 - 1\/5*k**2 + 0 = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*v + 24, l + 5*v = 4*v - 12. Let s = -6 - l. Find the first derivative of -5*i**3 + i**3 + s + 3 wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2136, 4274, 6412, 8550?\n\"Answer: 2138*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5777268 millennia to months.\nAnswer: 6932.7216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54\/5 (b) -0.0566 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*-3 + (sqrt(11) - (2 + sqrt(1331))**2).\nAnswer: -1338 - 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 4, 3\/7, 0.3, 126, -2\/15, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/33)\/(-1*(-7)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*d**2 + 209*d**2 + 28 - 89*d**2 - 2*d as q*d**2 + g*d + w and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7242*n**4 + n**2 + 2466*n - 2 wrt n.\nAnswer: 173808*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111142, 444556, 1000244, 1778206, 2778442?\nAnswer: 4000952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -62\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or -668\/11?\nAnswer: -668\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/15 (b) -13 (c) 0.4 (d) -5.03 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0431537 rounded to 4 decimal places?\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - g + 972 = g, 5*w = -3*g + 1214. Let n = w - 144. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/17 and 19\/443.\nAnswer: 7531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t - 576. Let j be 2\/(-2 - t\/(-69)). Let f be j\/7 - 1 - 2. Which is bigger: -0.4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 13*r + 7. Suppose 0 = -2*u - 10, 30*u = 3*s + 25*u - 52. What is v(s)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9135 (base 13) to base 4\nAnswer: -10320102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4310 and 33391725?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/7 - (-3030)\/14. What is the greatest common factor of 72 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774410?\nAnswer: 2, 3, 5, 11, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 364*p - 4513. Let k be v(12). Put k, 1, 22, 3 in descending order.\nAnswer: 22, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50\/9 - -16\/3. Let q = 9 + -6. Which is the nearest to -0.2? (a) -5 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52206 divided by 348\nAnswer: 8701\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*f = 0, 4*f + 6 - 3 = 3*a. Solve 0 = -2*m + 5*m + a*u - 29, 2*u = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9963123 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/((v*v*v*v**(-6))\/v))\/v*v**(-1))\/(v*v**(-1\/4))**(-2\/17) assuming v is positive.\nAnswer: v**(173\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/10*(86722\/524 + -138).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 1. Let m be n(-2). Suppose c - m*c = -4. Solve -c*l = 3*l + 2*u - 29, 4*u - 8 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + -3 + (-1*-6*(sqrt(72) + -1 + sqrt(72))*-5)**2.\nAnswer: -21600*sqrt(2) + 260093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3888 + 3890. Put -5, w, -0.4, 31\/2, 0.3 in descending order.\nAnswer: 31\/2, w, 0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -34*s - 200. Calculate l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r**2 + 2*r - 1. Let j(a) = -16*a**2 + 3*a - 1. Calculate -3*g(u) + 2*j(u).\nAnswer: 16*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 69 + 21450515\nAnswer: 21450584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1231\/3 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-226588)\/(-32151))\/(16\/(-168))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2112342441 (base 5) to base 14\nAnswer: 83034c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20673129 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -29) + -38 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36488683 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -16, -18, -22, -28?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4360 is divided by 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -109*s + 2. Let y(w) be the first derivative of -w**2 + 11. Determine j(y(g)).\nAnswer: 218*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 - 3762*n**2 - 71679072*n\/5.\nAnswer: 3*n*(n - 8942)*(n + 2672)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-8) + 2\/(-8). Let p = 4680 - 4683. Which is the closest to p? (a) u (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 24 = -2. Let h = -4 - u. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - l + 28 = 0, -5*z + 51338*l - 24 = 51342*l for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16694?\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/30 - 164\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = 4*o + o + s, -2*o + 425 = s. What is the remainder when o is divided by (-15 - (-444)\/(-84))\/(2\/(-7))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {f: 2, d: 8, r: 5}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 843367\/1012026 + -2\/168671. Let -20\/3*m + 5\/6*m**2 + z*m**3 - 10 = 0. Calculate m.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/((-2)\/10). Let u = -327\/2 + 164. Factor u*g + 1\/2*g**p - 1\/2 - 1\/2*g**3.\nAnswer: -(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, 0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 78?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.796 + 5.1241941?\nAnswer: -26.6718059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let o(i) = 155 + 3*i - 22 - 175. What is o(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -2 - (-10 + -9598) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000098008 rounded to seven dps?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**5*x - 4458*h**5 + 47233*h*x wrt h?\nAnswer: -80*h**3*x - 89160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3*l = -210. Suppose 13 + l = a. Suppose -2*k - 2*n + a = 0, n + 79 = 3*k - 3*n. What is the highest common factor of 75 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 3*z**2 + 5*z**2 + (3 + 0 - 1)*(-4*z**2 - 3*z**2 + z**2).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1967.06 (c) -2\/9 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u. Suppose u*y = y - 2*z, -2*z = -2*y + 4. Find the second derivative of -10*s - 8*s**y + 15*s + 8*s**4 - 14*s**5 wrt s.\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1419776 (base 10) in base 15?\nAnswer: -1d0a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(1539) + (-2*sqrt(1539)*-5)**2 + sqrt(1539) + sqrt(19) + (sqrt(1216) + -1 + sqrt(1216) + sqrt(1216))**2 + -1 + sqrt(171) + sqrt(171) + -1.\nAnswer: -50*sqrt(19) + 164848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 17*u**2 + 11*u + 84. Let v be k(16). Suppose -h = -0*h + 8. Let i be 1*(-3)\/6*h. Solve -2*o + 2*w - 10 = 7*w, -i*o - v*w = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21391187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/112 - 181\/36) + 6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:52 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 17*y**2 - 61*y - 19. Let j be i(-20). Solve -5*b + 4 = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/5)\/(i\/(i\/(i*i**(-3)\/i))*i)*i*i*(i*i*i**5*i)\/i*i*i**(2\/13) assuming i is positive.\nAnswer: i**(829\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-66))\/((-2)\/(-36)). Let l be 4 + ((-588)\/7)\/b. Let h(i) = i**2 + 10*i - 4. What is h(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4\/5)*r*r*r*r**(4\/3)*r)\/(r**(3\/8)\/(r*r*r*r**4*r*r*r)))\/((r**(-4)\/(r**(2\/9)*r))\/(r**(-7)*r*r\/(r**(-7)\/r))) assuming r is positive.\nAnswer: r**(8417\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 25\/6*i**3 + 0 - 30*i**2 - 1\/6*i**4 + 0*i. Let x be h(6). Put -2, 4, x, 5 in ascending order.\nAnswer: -2, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + l - 3*l + 6*l. Let y(i) be the third derivative of i**5\/60 - i**3\/6 - i**2. Let z(m) be the first derivative of y(m). What is z(p(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*c, 3*c + 3*s + 37 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-48) + (-34)\/6. Let w = -239 - -143. Let g be p\/(140\/w) - 3. Which is the smallest value? (a) 0 (b) 32 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247939.1cm in kilometers?\nAnswer: 2.479391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/24 + b**3\/2 - 26*b**2 - 2*b. What is l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -68.7012 (c) -2\/9 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5773 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51984 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 67) + (-5 - -7 - -2) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/12 - (-10 + 130\/13).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*z - 158, 14*s + 5*z = 16*s - 6*s - 193 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*-1*(88\/(-55))\/(-8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 - 86*t**3 - 19*t**2 + 83*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64641 + 107502 = 1851*x for x.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -166401863.\nAnswer: 832009315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1136*b**3 + 4*b**2 - 2208*b**3 + 1138*b**3 - 2 in the form x*b + a + w*b**3 + u*b**2 and give w.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -180907, -361813, -542719, -723625, -904531?\n\"Answer: -180906*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.79?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69 and -15.\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2409763\nAnswer: 3\/2409763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + z = 29, 0 = 3*n - 4*z + 1 - 0. Suppose 4*x = -8, 0*x + 3*x = n*p - 246. Let r = -34 + p. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 4, -5*k - 35 = -5*b. Suppose -5*h + 30 = 2*u, 0*h = 5*h - b*u - 65. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21 - 22)\/(1\/2) - -7. Suppose 3*k + 10604015 = -4*x, a*x + 78*k = 79*k - 13254995. Round x to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39432 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 10 = -o. Let d be -1*o*2\/4. Let c = 0 + 0. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (2 + 9) - -2 - 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*x - 253, 0 = -0*x - x - 2*f + 128. What is the remainder when (x - -1) + -9 + 12 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:42 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y + 2. Let m be 8 - 3\/((-9)\/(-6)). Calculate d(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*k - 196, -4*k + 140 = -51*s + 52*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) 4\/3 (c) -5\/4 (d) -0.35 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132067 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrzz when four letters picked without replacement from {z: 13, r: 3, i: 2}?\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - (1 + 6)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 2. Let m be a(-2). Solve 2*n + m = -0*z + 5*z, -2*z + 20 = -4*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 42. Suppose -7*n = 5*n + 120. What is the remainder when 40 is divided by m(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6778*z**3 - 3*z - 6778*z**3 + 498*z**4 + 260*z**2 + 905*z**4 wrt z?\nAnswer: 33672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/67 equal to 0.279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-18))\/((-1)\/(-2)). Suppose 0 = l - 2 - 0. Sort k, 1\/2, l in decreasing order.\nAnswer: k, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 38*u**2 - 165*u - 77. Determine w(-33).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/45*36\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + w**4 + w**4 + (3*w - 4*w + 2*w)*(w**3 - w**2 + w**2) + (0 + w + 0)*(-w**3 - 2*w + 2*w) + 2549 + 31*w**4 - 2549.\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412984468, 825968934, 1238953400?\nAnswer: 1651937866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6232\/265 + -992\/53. Let l(j) be the first derivative of -2*j**3 + 5\/2*j**6 + 0*j + w*j**5 + 29 + 0*j**2 + 3\/4*j**4. Determine g, given that l(g) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s - 31*s + 97*s - 32*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.04966 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*l + 12 = 0, 2*l + 2 = s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(539))**2 - (sqrt(539) - -2*sqrt(539))**2*1 - (sqrt(66) + (sqrt(66)*-2 + sqrt(66))*4)\/((sqrt(36)\/sqrt(2))\/sqrt(3)).\nAnswer: -4311 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2034, 2126, 2220, 2316, 2414, 2514?\n\"Answer: l**2 + 89*l + 1944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 1878*j**2 + 1887*j + 3762.\nAnswer: -3*(j - 2)*(j + 1)*(j + 627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 52*g**2 + 8*g + 204. Let d be k(-26). Suppose -3*f = 5*t + 2*f + 120, t + 44 = 4*f. Sort 3, d, t, 4 in ascending order.\nAnswer: t, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 23*g**2 - 23*g + 21. Calculate y(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67451 is divided by 6127?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {g: 2, e: 5, h: 1, l: 3, p: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*p**4 + 9*p**4 - 37*p**4 + 3*p**4 + 1 - 1 - p**4 + 0*p**4 + 3*p**4 + (-1 - 1 + 4)*(6*p**4 - 3*p**4 - p**4).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.371 * 30814\nAnswer: 11431.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69700 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 5*a**3\/3 - 110*a. Let d = 37 + -33. Let j(y) = 1 + d - 5 - y. Calculate j(g(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120032120 + 100200?\nAnswer: -113331320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/126)\/((-4)\/216*3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 1 + 9*b**2 - b**3 - 2*b**3 + 3*b**3. Let x be h(9). Is x < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/191900 and -11\/2020.\nAnswer: 191900","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(3) + sqrt(3)*2) - sqrt(1936)*4)\/((2*sqrt(72)*-3)\/sqrt(9)*-5).\nAnswer: -131*sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-77)\/(-35) - (5 - 3). Let a = -3.3 + 8.3. Put a, h, 0.1 in decreasing order.\nAnswer: a, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p + 14\/3*p**2 + 0 + 2\/3*p**3.\nAnswer: 2*p*(p + 3)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 838962 - (4 + (-2 - 5)). Let k = 637936 + r. Let y = -2696901 + k. What is y rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55658?\nAnswer: 2, 17, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 152\/48 - (-2)\/(-12). Let o be -31 + -1*(-8)\/4. Sort y, o, -5 in decreasing order.\nAnswer: y, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 - 5*q - 196. Let x(m) = -22*m**2 + 12*m + 486. Give 12*i(d) + 5*x(d).\nAnswer: -2*d**2 + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 9*u**2 - u + 13. Let t(j) = -j**3 + 5*j**2 - 2*j + 1. Let d be t(4). List the prime factors of x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 374 - -44. Suppose 3161 = 3*v - z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321084689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 964509 and 29653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-108))\/((-14)\/3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.1 (b) 2 (c) 2\/3 (d) -6 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252243254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 3*p + 3. Let b be f(-2). Let t be (21\/(b + -2))\/1. Suppose 2*n + 25 = t*n. Solve 5*a = 3*h + n - 3, -3*a - 10 = h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-86)\/(((-24)\/20)\/(-3)*-5). Suppose -2*v + 22 = -4*b, 2*v + 2*b = 7*b + 24. Let m = j - v. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162) + 3 + 3*sqrt(162)*2)**2 + sqrt(1458) + sqrt(1458)*2 + 0 + 0.\nAnswer: 459*sqrt(2) + 7947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4 = 12*c - 14*c, -c = -f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*r**3 + 140*r**3 + 20*r**4)*(0*r + 0*r - 4*r).\nAnswer: -80*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**7\/840 - b**4\/24 + b**3\/2 + 3*b**2. Let n(y) be the first derivative of j(y). What is the derivative of n(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574017 is divided by 28669?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {y: 8, u: 1, b: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from {h: 5, s: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*s**2 - 32*j*s - 2*j + 227*s**4 - 2*s wrt s.\nAnswer: -2*j + 2724*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24802 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -2 (c) -12740\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8ca - -27?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 5 - 23. Let k be w\/(-9) - 2\/6. Solve k*r = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2686 - 11470243?\nAnswer: -11472929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104 and 1054286?\nAnswer: 1054182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2212348, 4424704, 6637058, 8849410, 11061760, 13274108, 15486454?\nAnswer: 17698798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873*k - 8*k**3 - 3*k**2 - 11*k**3 + 2873*k + 25*k**3.\nAnswer: 6*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*64.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = r - j - 3*j, -29 = -3*r + 5*j. Suppose -c + 48 = -r*a, -3*c + 172 = -0*c + 5*a. Calculate the remainder when c is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 312\/(-91)*268\/(-32604). Let f = x + 1\/209. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9 + r + 2*r + 2 - 7 - 1 - 6. Suppose g + 0 - 5 = 0. Calculate i(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**3 + 0*k**3 + k**3)*(k - 23 - 3 + 0*k) in the form w*k**2 + n + z*k**3 + s*k + q*k**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n**3 - 8*n**3 - 4*n**2 + 4*n**2 - 52*n**3.\nAnswer: -106*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*v - 8. Suppose 10 + v = 3*j. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**29)**(-38)*(l**(-1))**(1\/6) assuming l is positive.\nAnswer: l**(-6613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*w - 923 + 923.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363 by 2257.\nAnswer: -363\/2257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.298? (a) 4 (b) -4 (c) 0.24 (d) -0.09 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - x**3 - 3*x**2 - x**3 + x**3 - 3*x**3 + (3*x**2 + 4*x**2 - 6*x**2)*(-x + 4*x - 4*x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/43)\/(w*w\/w**(-20)) assuming w is positive.\nAnswer: w**(-947\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 - -9.9. Which is the fourth biggest value? (a) -2 (b) i (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-7 + 2)) + 120 + (201 - 220)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 64)*(56\/12)\/(-2). Find the common denominator of -5\/107 and (-7)\/(q\/(-14)) - (-130)\/48.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 313.9 + -315.9. Put f, 1\/2, 0, 9\/5 in decreasing order.\nAnswer: 9\/5, 1\/2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53158 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 410399304 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12122*c**4 + 11883 wrt c.\nAnswer: -48488*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - i + 359 = 0, -7 = 3*i + 8. Let s be 1 + 280\/u + -4. Which is the biggest value? (a) -5\/2 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -202210022?\nAnswer: 202210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r + 4*r - 128710 - 177530. What is the least common multiple of 10 and r?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 121 = 13*i. Let x be (-1)\/((6 + i)\/(-5)). What is the closest to x in 5\/2, 6\/13, 3\/5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h. Suppose -4*a - 10 = a - 5*w, -3*w = 5*a - 22. Let d(g) = -21*g**2 + 10*g**2 + 9*g**a. Calculate j(d(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -45*g - 98*g + 223554. What is the remainder when g is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 25 = 5*w. Let y = 0.1 + -0.4. Let j = 429.8 + -430. Which is the nearest to j? (a) w (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - (-1 - -8). Let n = -5 - l. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllqllllqqlllllqlll. What is prob of picking 1 l and 1 q?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 - 33*m - 281. Calculate c(0).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 4*r**3\/3 + 2*r**2 + 8*r + 8. Let u(k) = 5*k**2 + 5*k + 9. Let d(v) = -6*g(v) + 5*u(v). Calculate d(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 * 67646\nAnswer: 5073.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20442303 (base 5) to base 14.\nAnswer: -46758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k. Let l(b) = -b**3 - 28*b**2 - 27*b - 3. Suppose 4*x = -3*p - 73, 3*x = 4*p - p + 87. Let h be l(p). Determine t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6 - 1)*-2. Suppose p + p - w = -17, 3*p = h*w - 43. What is the common denominator of (11\/3)\/(32\/p) and -65\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4075161.\nAnswer: 3, 1358387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237976 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1098)\/770 - 1533\/(-1095)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + -2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwjxvvf. Give prob of picking 1 w, 1 v, and 2 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -406*k + 1610 - 807 - 803 to the form x + w*k and give w.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 2. Find the third derivative of -7*u**p - 3*u**6 + 6*u**6 + 6*u**2 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398878550 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 - 26526334.\nAnswer: -26526284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/11))**(-8)*(n**26\/n)**(2\/9) assuming n is positive.\nAnswer: n**(118\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from {b: 7, m: 3, n: 4, z: 2, h: 1, l: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 1:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1044708)\/(-441) - (-52)\/(-4). Let q = -920 - -3275. Let i = q - d. Find the common denominator of 43\/36 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**9\/10080 + h**8\/1120 - h**7\/336 + h**6\/240 + h**4\/12 + h. Let y(r) be the third derivative of c(r). Factor y(a).\nAnswer: -3*a*(a - 2)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4 - (1 - (6 - 5)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.053 - 0.047. Put -5, i, 1, 17\/4 in descending order.\nAnswer: 17\/4, 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 + -93.043. Let t = w + -13.557. What is t rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*k**4 + 53*k**4 - 268 - 11*k + 266 + 46*k**4 - 18*k**2 as n*k + g*k**4 + z + b*k**2 + r*k**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -64, -44, -28, -16, -8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.942946 decades in years?\nAnswer: 9.42946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 1. Let z be x(3). Suppose 40*w - 57*w = 17. Let o = w - z. Solve -3*p - o = 0, 3 = -4*u + 3*p - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1422569063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b**5 + 3*b + (-10*b - 7*b + b**4 + 5*b)*(-10*b - b - 11*b).\nAnswer: -21*b**5 + 264*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-484))\/(4*(-4)\/(-32))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*w + h, -2*h = 2*w + 3*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436299 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svzqvvqzmjzqjm. Give prob of sequence qvjs.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:45 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 166 = 6*y + 6*d, 3*y - d - 44 = -31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x + 75 = 5*q, 2*q = 2*x + 32. Let j(o) = -o**2 + 10*o + 13. Determine j(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11773025?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w = 2211. Let k be w\/(-2) + 3\/(-6). Let i = 9961\/27 + k. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 + 2*w + 6. Determine n(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7447 and 144122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 770 = -3*c + 771, 3*c + 19 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2. Let u(k) be the first derivative of k**4\/24 + 87*k**2\/2 - 72. Let y(x) be the second derivative of u(x). Give y(w(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -15*i + 8 - 200 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842 at least as big as 24203\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-546)\/(-18) + 5)*3\/(-1). Let l = 110 + u. Solve -z = l, 2*r + r = -2*z - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let v = 122\/63 - 20\/9. Let o = 1 - 5. What is the closest to u in o, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -4*k - k. Suppose k = 5*c + 16. Let w be 0*-3*1\/(-6). Solve -15 + c = o - z, w = o + 2*z - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) + (sqrt(68) - sqrt(68)*2) + 5)**2*-1*4.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3*t**2 + 23*t - 23*t) + (-11*t - 7*t - 5*t + (t - 6*t + 3*t)*(5 + 0 - 4) + 2*t - 2*t - 2*t - 1 + 1 + t)*(-2*t - t + 5*t).\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*f**2 - 251*f - 13878 wrt f?\nAnswer: -20*f - 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 195 and 196 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 93 = -3*m - 15*w + 20, 230*m = -3*w - 4845 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 4. Determine y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2163576576 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 6. Let z be 10\/21 - 2\/h. Factor 2\/7*n**5 + 0 + 2\/7*n + 12\/7*n**3 + z*n**4 + 8\/7*n**2.\nAnswer: 2*n*(n + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let f = z - -14. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9896123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g - 8 = -4*l, 0 = -l - g + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21133, -41364, -61591, -81814, -102033?\n\"Answer: 2*j**2 - 20237*j - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.001608 + 0.00131999. What is o rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 334*u**2 - 109*u + 123709 wrt u.\nAnswer: 668*u - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -44. Let x be 2*(-4)\/16 + n\/8. What is the third smallest value in 1, 0.2, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 453 - 450. Solve -b*u = -2*u - 4*j + 19, 5*u + j = -11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.1. Let k = 12.5 + -14. Let q = v - k. What is the second biggest value in 4, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -83*o**7\/7 - o**3\/6 + 131*o**2\/2 + o - 40. Find the second derivative of l(r) wrt r.\nAnswer: -9960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v + 0*v)*(-1 + 1 + v**2) + v**4 + 2*v**4 + v**4 - 3*v**4 + 0*v + 0*v + 2*v**4 + 0*v**3 + 0*v**3 + (2*v**2 + 3*v**2 - 4*v**2)*(0 + v**2 + 0).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -49*d + 8686. Is r(0) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1*((-2)\/2 - 2). Let i = -12 - s. Put -5, i, 3 in descending order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-640)\/50)\/(-16)*(-50)\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:53 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17114 * 0.0215\nAnswer: 367.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 135?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 2*n - 1. Let l be x(-2). Let u(f) be the first derivative of -1\/3*f**l + 0*f**2 + f - 1. Differentiate u(d) with respect to d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 160\/(-5) + (-4 - 1 - -2). Let w = i + 37. Let n be (-15)\/(-10) - 3\/w. Solve z + 17 = -5*g - n*z, 0 = -4*g - z - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*m - 22 = 0, 0*c + 2*m = 4*c. Suppose 0 = 2*d - 0*d + c, 29 = 4*u - d. Solve -3*k - 1 = -u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 3*v - 64554*v**3 - 136*v**4 + 64554*v**3 + (-v**2 + 2*v**2 + 0*v**2)*(-v**2 + 2*v**2 - 4*v**2).\nAnswer: -139*v**4 + 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/28 and -119\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (2 - 1 - -15). Suppose k - 5 = 5*z, 0 = -5*k + w + 11. Let j be 20\/24 - (z + 1). Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4305247 and 1672448?\nAnswer: 6533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*z**2 - 31*z**3 - 51*z**2.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 5. Let w(z) = z + 5. Let m(k) = -3*k + 3. Let g be m(2). Let r(f) = g*w(f) - 2*s(f). What is r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 7. Let l be w(8). Let t be 2 + -1 + (-1)\/l. Let n = 2 - t. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -655 + 751. Calculate the greatest common divisor of 84 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9115\/63 - 1297\/9. Which is bigger: i or -139.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1425017\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124\/(-840) - (-8)\/(-20). Let v = -1\/21 - u. Factor -1\/4*t**3 + 1\/4*t**2 + 0 + v*t.\nAnswer: -t*(t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 8*j - 1. Let b(g) = -5*g**2 + 29*g - 10. Give b(r) + 3*c(r).\nAnswer: -2*r**2 + 5*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6345\/375 - 17)\/(-4 - 88\/(-20)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 14. Let s be y(6). Solve -4*b = s*a, 0 = 2*b + 3*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36591, 145459, 326903, 580923, 907519, 1306691?\n\"Answer: 36288*n**2 + 4*n + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4 (c) 128224.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - k = 26, 0 = -b - 2*k + 4 - 1. Suppose -10*u = -b*u - 2045. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.4 - 32.4. Which is the second biggest value? (a) v (b) 1\/2 (c) 1\/80 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276.999631 - -277. What is g rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692369579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = -3*b. Let x be 0 - 0*b\/16. Suppose x = i - 2, -t + 15 = 4*i - 0*i. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6*u - 158 = 3*x, 5*u = 3*x - 772. Let y = u + 149. Let b(l) = l**2 + 3*l - 3. Calculate b(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 72. Find the second derivative of -8*n - 13*n**3 - 37*n - 17*n + r*n wrt n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 50. Solve k*s - 57*s - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(5616) + sqrt(5616)*-2) + sqrt(5616))\/(sqrt(192) - sqrt(192)*-1))**2*-1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2654 + -2650. Solve -5*t = -5*b + 10*b - 20, -g = -b - 3*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109\/16 - -1019\/240. What is the common denominator of y and (-15)\/3 - 13300\/(-800)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -2)\/(4\/(-8)). Let h(o) = -9 + 6 - i*o - 3. Suppose 6*w - 7*w - 4 = 0. Calculate h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 24*p**2 + 5. Let s(k) = -k**2 - 1. Calculate f(w) + 5*s(w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 40\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**2 + 2*b - 1. Suppose -27 = -g - 5*v, 4*g = 6*g - 3*v + 11. Suppose 4*x - f = -20, 0*x + g*x + 20 = 3*f. Give r(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 591760*o**5 + 577968*o.\nAnswer: 11835200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-65)\/(-3)*(2 - -1). Suppose -k = -2*w + g, 2*w = 4*w - 2*k - 70. Suppose -w = 2*b - 7*b. Solve -4*y = -m + 14, -3*y + 3*m = -0*y + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54423150203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*1)\/(7\/(-14)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.065555 and -0.02365?\nAnswer: 0.00155037575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -160080 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 90 - 2278*o**3 + 2280*o**3.\nAnswer: 2*o**3 + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-10093.\nAnswer: 60558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwkwwuwuw. Give prob of sequence uwk.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*b**4 + 6*b + 5*b - 10*b + (-b + 4*b + 2*b)*(-28*b**3 - 7*b**3 + 0*b**3).\nAnswer: -152*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(68).\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + 2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 23*j = -12*g + 468, 2*j - 5*j = 18. Suppose -c + 0*c = 0. Solve c = -g*w + 35*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101174 + 0.0849448.\nAnswer: -101173.9150552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 13*x - 4. Give l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**28*f*f*f)**(3\/14) assuming f is positive.\nAnswer: f**(93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1921, 4178, 7939, 13204?\n\"Answer: 752*q**2 + q + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.66 - -0.06. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49805650?\nAnswer: 2, 5, 19, 103, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 319 + 161. Calculate the common denominator of 143\/42 and ((-58)\/p)\/(-12*9\/(-216)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 7 + 1\/3*h**3 - 2*h + 0*h**2 + 1\/4*h**4. Let n(p) = 0 - 2*p**3 + 0*p**3 - 2*p**2 + 5. What is -7*b(a) - 3*n(a)?\nAnswer: -a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -923.77 - -920. Let r = 0.77 + n. Let o = -57 + 396\/7. Which is the closest to 2\/5? (a) o (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 18680*l + 671185. Give j(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Let o be (3 - (-22)\/(-10))\/((-4)\/(-10)). Let t be 2\/o*1\/(-1). Give j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**2 - 3*y + 3. Suppose 0 = -0*j - j - 3. Calculate the least common multiple of r(1) and (j + -1)\/(0 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 1. Let s be t(-13). Let d = s + 71. Is d\/20*(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:56 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3364536 and 2016?\nAnswer: 40374432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 0, -19, -52?\n\"Answer: -7*c**2 + 16*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10456 - 7025. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3548963 or -3549132?\nAnswer: -3548963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1201210101003?\nAnswer: 1201210101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 2*a = 134, -3*i + 5*a + 205 = 0. Suppose -6314*l + 63 = -6293*l. Let b(j) = 129 - 64 - l*j - i. Let o(g) = -25*g. Give b(o(y)).\nAnswer: 75*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (620\/(-40))\/31*6. Let c be ((-1)\/(-2))\/((-1)\/8). Put 17, c, p in decreasing order.\nAnswer: 17, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Suppose -2*h = -3 + 7, -h = n*y - 18. Suppose 2*l = 0, 2 = 2*x + 5*l - y. What is the smallest common multiple of x and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*7.910529\nAnswer: -23.731587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.62*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5724635 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 329361628813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g. Suppose 20 = -3*h + 4*h + 5*m, g = 2*m - 6. Suppose -2*r + h = 1. Solve -4 = 2*k - r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1046\/703 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 + 0.68?\nAnswer: -368.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 + 9 = 2*a, -2*a - 5*w - 7 = 0. Find the second derivative of -10*s**a + 10*s**4 + 3*s + s**5 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 3. Let o(m) = -1. Suppose -8 = 2*l - 3*l. Suppose -5*t = 2*w + 10, l = -4*t - 3*w + 6*w. Give t*o(y) - g(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 43*d**2 + 69*d + 21. What is the tens digit of t(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-400)\/490) + 6. Let w = -2 + 2.1. Which is the nearest to w? (a) 0.1 (b) 7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 233, 984, 2235, 3986, 6237, 8988?\n\"Answer: 250*z**2 + z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 58896*o + 1000076.\nAnswer: 4*(o + 17)*(o + 14707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 82*d - 82*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3\/2, 1, -171?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 669, 806, 1025, 1326?\n\"Answer: 41*c**2 + 14*c + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1359, -5328, -11817, -20820, -32331, -46344, -62853?\n\"Answer: u**3 - 1266*u**2 - 178*u + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x + 14. Let f(w) = 16*w + 12. Give -6*f(i) + 5*m(i).\nAnswer: -21*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8163360*0.3\nAnswer: -2449008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 78*p**4\/7 + 1053*p**3\/7 - 354*p**2 + 1884*p\/7 - 360\/7 = 0. What is p?\nAnswer: -10, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 4, 1, 3 in increasing order.\nAnswer: -12, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:03 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-32)\/(-40))\/((-26)\/(-10))\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29 - (-1)\/1*-4. Let v = g + -23. Is (-1 + v)*(-2 - -73) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50f0b6 (base 16) in base 11?\nAnswer: 2aa3395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + a = 5, -3*p = p - 3*a - 23. Let z be 10 - (-4)\/(0 + p). Solve -b = 3*h + z, 2*b - 15 = 5*b + 2*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2 (c) 34 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4110 divided by -42?\nAnswer: 685\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g\/(g*g*g*g**3\/g)*g\/g**(-11)*g**(-2\/9))**(-32\/9) assuming g is positive.\nAnswer: g**(-2432\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(2\/3))\/u)\/u**(-8)*u**(-6\/5)*u**(-1\/11)\/u)**(-3\/10))**(-40) assuming u is positive.\nAnswer: u**(3328\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 57 = -3*u, -5*u - 2*h + 92 + 22 = 0. What is the remainder when 93 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Which is the third biggest value? (a) 2\/5 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.913954 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -8*b - 20*b + 44928. Calculate the greatest common factor of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693\/55*(-115)\/(-161)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1062*o + 21 - 848*o - 22 to the form d*o + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/628184 and 103\/65858.\nAnswer: 8166392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058959058 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from {x: 4, j: 5, t: 4, k: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8987139 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 745 = 6*x + 3*b, -x + 750 = -2*b. List the prime factors of x.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5*w - 4. Let t be l(-6). Let x = t - -1. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 - 7*j + 3*j + 2*j**2 + 2*j**2 to a + b*j + s*j**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/2 + (-3)\/(-6). Suppose 0 = -2*z - 3*m + 57, 4*z - 8*z = u*m - 111. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 20 - 153 = -53 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38071 (base 11) to base 16\nAnswer: d579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -153.4. Let f = n + 159. Let t = -0.1 + -0.5. Put t, f, 3 in ascending order.\nAnswer: t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*g**2 + 133*g**2 + 4*g + 3*g**4 - 3*g + 3*g to the form h*g**4 + x*g + z*g**3 + t + q*g**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-376) + (-343)\/(-329)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 47*l - 41. Calculate c(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.414833 rounded to 2 decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137536786 to the power of 1\/2, to the nearest integer?\nAnswer: 11728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530994336 to the nearest integer?\nAnswer: 23043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -197, -667, -1585, -3101?\n\"Answer: -25*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 0. Solve p + p = i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37598243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -286.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 plus -951444250.65?\nAnswer: -951444250.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**2\/2 - l - 1103. Let f(u) = 7*u + 3. What is -f(i) + 6*v(i)?\nAnswer: -i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60\/152872547 or -1?\nAnswer: -60\/152872547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:29 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.931147 litres to millilitres.\nAnswer: 1931.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 6*u)*(-4 + 3 - 2).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 95, 1\/2, 0.9, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.079 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 214916 divided by -2?\nAnswer: -107458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -6*h, -3*l - h + 26218 = 0. Suppose -l = -9*s + 3079. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.159 less than 2182?\nAnswer: 2187.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 614547, 613746, 612947, 612150?\n\"Answer: f**2 - 804*f + 615350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*g - 38 = 3*h, 5*h = 5*g + 170. Let y = 47 - h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.75 + 1.01. What is b rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 143*z**2 - 65*z - 584. What is the thousands digit of t(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*s = 2, 0 = -s - 3*s - 8. Let o(v) = 225*v**2 - 63*v + 1. Let x(l) = -225*l**2 + 64*l. Let m(h) = k*o(h) + 3*x(h). Suppose m(a) = 0. Calculate a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62901 divided by -3?\nAnswer: -20967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137573\/12 - 11474. Let q(z) = z**3 - 13*z**2 - 17*z - 31. Let x be q(13). Calculate the common denominator of i and 6\/2 + (x\/8 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-63.435391.\nAnswer: 63.435391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63658944 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15130600?\nAnswer: 2, 5, 75653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 5*k - 2*k + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 844 = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u + 233 + 159 + 1386 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 85.6. What is m rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 8*y + 4. Differentiate -8 - 8*i - y + 5*i wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154015, 6, 1\/4 in decreasing order.\nAnswer: 154015, 6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -55?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/2*51\/(-34) + 6. Solve s = 28*t - 41*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16489 - 16033. What is the highest common factor of 627 and c?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 1\/2*j**2 + 0 + 1\/3*j**3 + 65\/12*j**4 + 8*j. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 3 (c) -0.1274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(1 + 1 - 1)*(1 + 2 - 4).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - ((2 + (-21 + 5 - -9) - -14) + 0)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 15*g + 18. Let l be j(16). Let p(f) be the first derivative of f - 1\/3*f**3 + 1\/4*f**4 + l - 1\/2*f**2. Solve p(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqfviq. What is prob of picking 1 q and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 + 221. Suppose 5*h + j = 3*x, 44*h - 5*x + 19 = 48*h. Is -1\/91 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94360 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*n + 6. Find the third derivative of -b**2 + 17*b**5 - 17*b**5 + 3*b**6 - n*b**2 wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 1, x: 2, f: 8, k: 7}. Give prob of picking 2 x.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 divided by 4?\nAnswer: 609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119674 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 436303.2 litres?\nAnswer: 436303200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2899620 and 6524145.\nAnswer: 26096580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82480983 divided by 6.\nAnswer: 27493661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*x - 4 = 0, -5*g + 5*x - 5 = -0*x. Find the second derivative of 26*i - 3*i**g - 12*i - 13*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4448.244ug?\nAnswer: 0.004448244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38618118 + 38618119.02000061. Let n = f + -1.02. Round n to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 13*i + 45. Calculate h(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23798.2715 rounded to the nearest 100?\nAnswer: -23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304*u**2 - 140*u**2 + 126*u - 124*u to the form x + t*u**2 + o*u and give t.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a**2 - 4*a - 3. Let h be u(-2). Let t be (3\/h)\/(1\/21). What is the greatest common divisor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1640, -2665, -3760, -4961, -6304, -7825, -9560?\n\"Answer: -6*r**3 + r**2 - 986*r - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/2*97\/679.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130.07 rounded to the nearest 10?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 28*b**2 + 316*b - 315. Let a be x(-13). Solve -358*h = -a*h + 49 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 4. Let z be a(6). Suppose 2*t = -5*g - z*t + 26, 2*g + 5*t - 24 = 0. Suppose -39 - 39 = -g*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28666 * 0.1\nAnswer: -2866.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00265393034 rounded to five dps?\nAnswer: -0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 - 13 - 8 + 23 as h + w*f + o*f**2 + v*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen tenths of a millimeter?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 1868 = -13*y. Let p = 4101 + y. Suppose 7*z + 0*z - p = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 1. Let t(p) = p**3 + 3*p**2 + p + 2. Let w be t(-3). Let z(i) = -7*i**2 + i - 5. Let b = -580 + 586. What is b*h(s) + w*z(s)?\nAnswer: s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/14 (b) 3\/2 (c) -4 (d) 0.5 (e) -93 (f) 3 (g) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = g - 14, 2*p = -5*g + 72. Suppose -f = f - g. Calculate the least common multiple of 13 and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55463 + 0*d - 61187 - 2*d + 108780 - 2*d.\nAnswer: -4*d - 7870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 452 + 723. Suppose -559 = -2*r + j. Suppose 4*h - r = 5*g, -426 = -2*h + 2*g + 2*g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -2*m, 63*t + 36 = 66*t + 4*m. Sort 323, -2, t in decreasing order.\nAnswer: 323, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43171 is divided by 537.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913314 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - m = 2*j + 50, -14 = -2*j - 5*m. Suppose 5*w - j*w + 483 = 0. Calculate the remainder when 270 is divided by w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 421\/4. Factor 1\/4*b**4 - r*b + 1\/4 + 1\/2*b**3 - 1\/4*b**5 - 1\/2*b**2.\nAnswer: -(b - 1)**3*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5109*d**3*h**3*o + d**2*o + d*o - 5*h**3 - 4*h wrt d?\nAnswer: 30654*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*a + 749 = -346 + 399 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150800 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27540603.79 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -307*n - 26836. Give x(-84).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13128*g**3 - 13156*g**3 + 26210*g**3.\nAnswer: -74*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9 (base 11) in base 2?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-5\/3)*(r*r**(5\/4))\/(r*r**(-6)*r*r))\/(r\/(r\/(r*((r\/r**8)\/r)\/r))*r*r**(-2)*r*(r**3*r)\/r*r*r**(-4)) assuming r is positive.\nAnswer: r**(179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1338400 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -8*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 11*o + 6*o**2)*(-3 + 6 - 1 + (-7 + 1 - 3)*(3 + 1 - 3)) - 6*o**2 - 9*o + 9*o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 60*c**2 + 205*c - 210.\nAnswer: 5*(c - 7)*(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-90)*-5 - 6\/47 and -10\/9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -4*n**6\/45 - n**5\/30 + 4*n**3 - 38. Let i(k) be the third derivative of q(k). Find the second derivative of i(g) wrt g.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*c + 5*n, 4*c = -105*n + 104*n - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -8. Let g(s) = 2*s**2 + 3*s + 1. Is g(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*u - 2*u - 30, 66 = 4*u - 2*t. Let x = u + -11. What is the biggest value in x, 0.1, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1930549*t**3 + 527683*t**2?\nAnswer: -11583294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104014455 and 2790?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {x: 11, r: 6, i: 2}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*f = -5344 - 4428, 14 = 2*f. What is the highest common factor of 369 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8615, 34495, 77635, 138035, 215695?\n\"Answer: 8630*y**2 - 10*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/15*(-1)\/4*2262\/261?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*w + w + 2*w)*(1 + 3 - 3) + 3*w - 15 + 15 + (3*w - 3*w + 2*w)*(1 - 2 + 3) + 4*w + 0*w - 3*w)*(-w + w + w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Calculate the common denominator of (-5 - -84)*2\/k and 1\/(-5) + 1724\/(-80).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396718 divided by -34.\nAnswer: -198359\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 4. Calculate t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + -2)) + -3 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -62.6 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/67, -10, -2, 13\/5, 4, -2\/13?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5892.799s in nanoseconds?\nAnswer: 5892799000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 - 1. Let l(g) = 15*g**3 + 20*g**2 + 5*g + 20. Let p(x) = 20*b(x) + l(x). What is the second derivative of p(j) wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -2. Let m(f) = 5*f - 1. Let w be m(x). Suppose j + w*j + 5 = 5*u, -13 = j + 3*u. Let r(b) = b**3 + 4*b**2 + b + 2. Determine r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 7*v**2 - 5*v**2 + 14*v + 2 - 2*v**4 - 16*v + 4*v**4 as q*v**3 + m*v + h*v**2 + z + c*v**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-5))\/(4\/(-10)). Let f(c) = 1 + 5*c**2 - 5 + 6 + 0 - c**o. Let w be (((-5632)\/(-66))\/(-32))\/(2\/(-3)). Give f(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 + 152*u**2 - 3680*u + 28800 = 0. Calculate u.\nAnswer: 20, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 7*k + 2. Let h be v(-7). Solve o = f - 4, -h*o - 5*f + 23 = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.016313 - 0.09.\nAnswer: -0.073687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 22*n**2 + 514*n - 11312. Give c(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 369.864 - 369. Let u = 2.136 + j. Which is the second biggest value? (a) 4\/7 (b) u (c) -3 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 151*b**2 + 2668*b - 626. What is u(-167)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 - 28*l + 8. Let n be i(10). Let h = n - -377. Let d(c) = -c**2 - c - 1. Let m(o) = 8*o**2 + 3*o + 3. Give h*d(t) + m(t).\nAnswer: 3*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 199 + -159 + -15 + -64.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 + 4*b**2 + 9*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 - -0.23. Is n bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 264 = 3*v. Calculate the common denominator of ((-52)\/10)\/(-2)*48\/(-96) and 2\/(-6) - (-196)\/v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24648972?\nAnswer: 2, 3, 439, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 - 109. Let d = a - -219. Solve -b - 5*y - 2 = -d*y, -19 = 4*b - 3*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i + 68*i = 2*r + 6, -5*r = -3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59110.26 years to months.\nAnswer: 709323.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6326 - 0.6326. Let w = -38 - -38.01. Let s be (30\/4)\/((-3)\/(-1)). Which is the closest to m? (a) w (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/((6\/(-14))\/(282\/987)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503630.863 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(385\/(-10) + -1) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c + 45 = 0. Let j = c + 89. Let m = 24 - 8. What is the greatest common factor of m and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:44 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5*4\/40*-4)\/(5\/40525)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2))**(-2\/51))**(-28)*(d**1\/d**(-8))**36 assuming d is positive.\nAnswer: d**(5480\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401081 is divided by 354?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:02 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6\/63)\/((-11)\/33)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 2718?\nAnswer: 19026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllljjjjjuwjjjjnl. What is prob of picking 1 w and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.7 + 0.7. Let q(w) = -w + 2. Let x be q(0). Suppose -3*t + 17 - x = -3*h, -t + 13 = -5*h. Which is the smallest value? (a) h (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/4)\/((-1)\/2). Suppose 222 = 80*i - 6*i. What is the greatest common divisor of g and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9070, -9075, -9080, -9085?\n\"Answer: -5*a - 9065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (9 - (-48 + 60 - ((5 - 22) + 0))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110202012021001 (base 3) to base 15.\nAnswer: 8dc527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153604042*g**3 - 8799*g**2 + 237*g wrt g.\nAnswer: 921624252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.305 and 0.089?\nAnswer: 2.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10696 = 722*d - 1104*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 4, 89, 1, -146?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -266*v + 101353. Give x(381).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**5 - 1376*x**4 + 3253*x**3 - 2683*x**2 + 935*x - 117 = 0 for x.\nAnswer: -117, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13993*f. Let k(n) = 143*n + 31*n + 34*n - 210*n. Calculate k(u(i)).\nAnswer: 27986*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -6\/1241, 0, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 3021780*o - 3021776.\nAnswer: -4*(o - 755444)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 + 9*j - 17. Give z(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129968.\nAnswer: 2, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 392753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z + 95. Let l be c(24). Let q be (-42)\/7 - -5 - (-1 - l). Let u(j) = j + 8. Let s be u(-6). Sort 3, s, q in descending order.\nAnswer: 3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 + 9*d - 10. Let y be g(-9). Suppose -i - 2*t = i - 226, 0 = -5*i - 3*t + y. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2151 and 286358567?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(115\/3) + 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 4 = 0. Suppose -3*g - d + 66 = -4*d, -m*g - d = -56. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/21 + 3*(-4)\/6. What is the nearest to 2 in 5, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 13\/3101 (c) 1.2 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 17*c**2 + 11*c - 80. Let q be r(-16). Solve -4*n + 0*p - p + 22 = 0, -2*n + p + 8 = q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -188, -147, -98, -41, 24?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 36*i**3 - 23*i**3 + 0 + 16*i**3 in the form j + s*i**2 + m*i + t*i**3 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -14\/3077, -0.2, 0.3, 2, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -10. Suppose -m - 96 = -3*o, -2*o - r*o = m - 121. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23599 + 23598. Which is the nearest to p? (a) -3\/7 (b) 1\/3 (c) -2\/3 (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, -0.1, 2\/11, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7911 and 879.\nAnswer: 7911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4397666.\nAnswer: -2\/2198833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-646)\/3553)\/(1 + (-15)\/12).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/56*4)\/(30\/35*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -300)\/(4 - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 669 and 149187?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**2 - 3696*b - 2. Determine y(462).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 2*r)*(r**3 + r**3 + 0*r**3) + 2*r**4 + r**2 - r**2 + (-r + 0*r + 2*r)*(3*r**3 - 11*r**3 - 30*r**3) + 0 + 2*r**4 + 0.\nAnswer: -30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000859731127 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 32, 28, 22, 14?\n\"Answer: -b**2 + b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 15 = 9*t - 3*k, 3*t = -0*k - k + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 12:35 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7847 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1468\nAnswer: -2936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\/10*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10538*f**5 - 15693*f?\nAnswer: 210760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 149?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12 + (-5)\/(-3). Let y(i) = 4*i**2 - 1. Calculate the lowest common multiple of 5 and y(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 - -323. Let t(q) = 2*q - 28. What is t(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 70. Sort u, 7, -1, 5 in descending order.\nAnswer: 7, 5, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.703 - -3.581. What is s rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 354*n - 354*n + 8*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4. Let p(r) = -1. Let m(f) = a(f) + 3*p(f). Let x(h) = -h**2 - 6*h - 4. Let z(o) = -15*m(o) + 3*x(o). Find g, given that z(g) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10313614 divided by -10313614.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*c. Suppose c = -4*w, 3*i = 6*i - 4*w - 432. What is i rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 4, -1 in decreasing order.\nAnswer: 4, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 4. Suppose 5*c + 3*q + 0*q - 25 = 0, 4*c - 18 = -f*q. Solve -k - c = 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*g + 145 = 1176*g, -4*s + 116 = 4*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -550.\nAnswer: 12\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(68) + -3)*2*5 - (0 + sqrt(68) + sqrt(68) + -1 + 3)))**2 + -4.\nAnswer: -4096*sqrt(17) + 21500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -6\/41 (c) 0 (d) 0.5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*w = 10, 2*c = -3*w + 6*w + 25. Let p(x) = x**3 - 5*x**2 - 2. Let b be p(c). Put b, -5, 3 in descending order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/(-81))\/((-2138)\/28863).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 61638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -75300000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/3)\/y))**(-6)*y**(2\/19)\/(y**(-5)*y) assuming y is positive.\nAnswer: y**(-226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 21. Suppose v = 3*j - f - 119, -j + 5*f - 13 = -62. Let t = j - 10. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*a - 74, -11*a + 3*m - 26 = -13*a. Suppose -2*y + 464 = -y. What is the highest common divisor of y and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from szzszzssmszzm.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 4*z - 9. Let p be d(2). Let u(c) = 2*c**3 + c**2 - 1. Let v be u(-1). What is the closest to 0.1 in 5, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 497379 = -2346327. Let m = d + 121414337\/394. What is the common denominator of -44\/3 and m?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -696 + 1445\/2. Let b be -2 - 0 - (-2)\/(-1). Find the common denominator of f and (-6)\/b*89\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuyzzucuzyyuyauy. Give prob of picking 1 c and 1 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m - 141*m + 3 - 228*m - 5.\nAnswer: -333*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 46*a**2 + 3*a + 3. Let b(g) = 197*g - 30*g + 1748*g**2 + 33 - 20*g + 82 - 32*g. Give -3*b(o) + 115*v(o).\nAnswer: 46*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 + 198*j**2 - 523*j - 166. Give d(-52).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.12 - -2.12. Let k = -0.01 - -4.01. Which is the nearest to z? (a) k (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3405\/4 + 858. Suppose 0 = -3*o - p - 38, 5*o - 2*p = -0*p - 56. What is the common denominator of i and -3 - 285\/o - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7228, -11423, -15618, -19813, -24008?\nAnswer: -28203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 221. What is the greatest common divisor of 3240 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -27 (c) 26 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(78) - sqrt(78)*1)*-5 + -5*(-1*sqrt(78) - sqrt(78)))\/((1*sqrt(24))\/sqrt(4)*-5).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*m - 20 = 0, 0 = 18*c - 20*c - m + 4. Solve -j + 5*j - 5*y = 0, 4*j + c*y = 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 != -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3849272 plus 4?\nAnswer: -3849268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12 - -3) + (-3476)\/237)*-33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186.6834341 rounded to the nearest 10?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8183 and 19537?\nAnswer: 22838753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17010 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 994.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15669, -62661, -140981, -250629, -391605?\nAnswer: -563909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**4 + 161*j**2 - 1026?\nAnswer: -4*j**3 + 322*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352906 and 1004.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 13*y - 250 = -289, 2*h + y = -3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**4 - 6*u**3 - 2*u**2 + 6*u. Let x(d) = 14*d**4 + 17*d**3 + 5*d**2 - 17*d. Let a(o) = -6*x(o) - 17*y(o). Find the third derivative of a(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55178 - 185839 = -2907*g + 273412 for g.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + h - 4*h + 3*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 7*z - 2*z = -13080 + 13049, 6*z + 42 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + l. Let w(m) = -3*m + 15. Let u be w(6). Let y be (90\/27)\/((-1)\/3). Let t = 12 + y. Let f(c) = -2*c**3 + c**2. Give t*f(g) + u*o(g).\nAnswer: 2*g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076366727 rounded to five decimal places?\nAnswer: 0.00764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -27*b - 20*b + 65*b - 2 - 2 - 22*b + 5*b**2. Give l(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*g = 242*g + 242 + 27915 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.17 + 21. What is the closest to f in -0.3, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 + 15*k - 90. Let d be u(-10). What is the highest common divisor of 80 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173449 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*(y\/y**(1\/5))\/y))**(-5\/3)\/(((y\/y**(-4))\/y)\/y*y**(-2)\/y*y)*(y\/(y*y\/(y*y**2*y*y))*y)**(2\/31)*y**3*((y*y**3*y)\/y)\/y assuming y is positive.\nAnswer: y**(103\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 + 6*t + 5. Let a be b(-6). Suppose 0 = x - a*c - 207, 4*x - 5*c - 581 = x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, s: 1}. Give prob of sequence vu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190633.14 milliseconds in hours?\nAnswer: 0.05295365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3\/3 - 96154*d**2\/5 + 9614*d\/5 + 57692\/15 = 0.\nAnswer: -2\/5, 1\/2, 14423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40723 = 3637*f - 148793 + 4149 - 168854 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let u(d) be the second derivative of d**5\/120 - d**3\/2 + d. Let k(n) be the second derivative of u(n). Give v(k(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32336 + -3a94?\nAnswer: 29352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -68, -106?\n\"Answer: -38*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 27 = -2*f - 0*f, -3*q + 5*f = 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3\/5 - 74*t**2\/5 + 106*t + 602\/5 = 0.\nAnswer: -43, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 7\/2*l**2 + 82*l - 2*l**4 + 0*l**3 + 140. What is the derivative of h(q) wrt q?\nAnswer: -24*q**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5386445 - 14*l**2 + 5386445 + 18*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -12\/5*v**3 + 0*v**2 - 6\/5*v**4 + 0*v - 4\/25*v**5 - 10. Factor s(c).\nAnswer: -4*c**2*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -37*s + 37*s - 96, -s + 2*s - 2*d = 3*s - 40 - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-160))\/((-3)\/(45\/4)). Put s, -2, -0.04 in decreasing order.\nAnswer: s, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*o + 16*o - 19*o)*(2 - 5 - 2).\nAnswer: -485*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + sqrt(19))*6)**2 + -3 + (sqrt(19) + 0 + sqrt(931) - (sqrt(19) + sqrt(2736)*2)).\nAnswer: -17*sqrt(19) + 17097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 28*i**2\/3 - 281*i\/3 - 84.\nAnswer: (i - 36)*(i + 1)*(i + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 9*t + 2. Calculate s(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 5677433?\nAnswer: 5677437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 163 + 440. Suppose b = x + 2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54190\/9 + -6021. What is the second biggest value in -2.6, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2039 divide 785022806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -30, 2, 98, 282, 578?\n\"Answer: 4*m**3 - 4*m**2 - 24*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 95 + 129. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 5*y**7\/42 - 6*y**6 - 49*y**5 - 905*y**4\/6 - 475*y**3\/2 - 205*y**2 + 791*y. Factor r(o).\nAnswer: 5*(o - 41)*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (17 - (-130)\/(-8)). Put -79, c, -5 in ascending order.\nAnswer: -79, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -29*a**3 - 3*a**2 - 2*a + 2. Let y be n(-2). Let o = y - 110. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10a + 26?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 8. Let h be u(-4). Suppose -t - 3*q + 13 = 4*t, -q - h = 0. Which is the fourth biggest value? (a) t (b) -3 (c) 0.09 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254206.\nAnswer: 2, 151, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 25. Let w be (-3959)\/428 + ((-92)\/(-112) - (-5)\/((-70)\/(-6))). Sort z, -3, -1, w in ascending order.\nAnswer: w, z, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + 39*z - 14. Let w be l(6). Suppose 0 = -59*q + 61*q - w. Solve 2*o = -q*n, -2*o = 2*o - 5*n + 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -669*j - 97. Let f(a) = 237*a + 32. Calculate 17*f(l) + 6*r(l).\nAnswer: 15*l - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9923 is divided by 3303?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7955, -31835, -71635, -127355?\n\"Answer: -7960*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -2441?\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 96033026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*f - 62, 5*b - 5*f = -0*b + 280. What is the tens digit of b\/(-38)*428\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413490 and 19140?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41769608104 minus -4.84?\nAnswer: -41769608099.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/226 and 29\/112322.\nAnswer: 112322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 1. Suppose -2*h - 15 = -21. Suppose 3*f = -5*v + 7 - 37, 2*f + 3*v + 19 = 0. Let s(u) = -9*u - 3. Determine f*m(d) + h*s(d).\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17413 + 17412.9. What is the nearest to f in -2\/3, -0.1, 3.6, -0.09?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/180 - l**5\/90 - l**4\/18 + 3*l**2. Solve q(d) = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 5, -2, 16 in descending order.\nAnswer: 47, 16, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60394, 120784, 181152, 241498, 301822?\nAnswer: 362124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 324\/49 and -31.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let m = 1 + h. Let o(i) = 6*i**2 - i - 1. Calculate the remainder when 11 is divided by o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**2\/2 + 2*l + 1. What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265018942?\nAnswer: 2, 132509471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 462 = 422 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*m + 15 = -j, 2*m - j = -13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -16. List the prime factors of (t + 6)*9\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, z: 2}. What is prob of picking 4 j?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -8, 0.31 in ascending order.\nAnswer: -8, 0.31, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnknnxbkxnkxnkxxnxxx. What is prob of picking 2 k?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5557, -5560, -5563, -5566, -5569?\nAnswer: -5572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274912410.\nAnswer: 2, 3, 5, 9163747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7202 is divided by 2397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 8. Let r(t) be the first derivative of 4*t**3 + 1314. Give r(v(z)).\nAnswer: 48*z**4 + 384*z**2 + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33834, 33835, 33836, 33837, 33838, 33839?\nAnswer: 33840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 29 - u**2 + 24 as k*u**2 + m + s*u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -233. Let p = d + 119.999878. What is p rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 9*i + b = -5, 4*i - 15 = 3*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -60, 43, 258, 621, 1168?\nAnswer: 1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 11*v**2 + 14*v - 18. Give z(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 708789533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2067)\/39 + 48)\/((-8)\/40)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 107*b + 4. Let a(p) = 106*p + 3. What is 3*a(o) - 2*v(o)?\nAnswer: 104*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18136916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let o = -40132 + 40132.08. Which is the smallest value? (a) 3 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(24\/(-128)). Let g(f) = -19*f + p*f + 7*f. List the prime factors of g(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b - 1718 = -407. What is the remainder when 99 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from tvuhfhtkkvhtvkh?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 161, -4059, -0.1?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -18*g + 29*g. Suppose 19*v = -t + 14*v + 3, g*t + 1 = -3*v. Let h be (-2 + 2 - 1) + 4. Put 1, -5, t, h in increasing order.\nAnswer: -5, t, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) -82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -9. Let v(i) = 2*i**2. Let f be v(w). Solve -15 = -3*l - 2*l, -f*l = -z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 - 16*m - 16. Let f be p(-4). List the prime factors of (f\/(-24))\/(2\/(-867)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (5 + -2 + 8 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8014, 2, 9, 1.\nAnswer: 1, 2, 9, 8014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-10)*(-2 - 0). Is (1 + c)*(-379)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476854 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 11248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 89. Let u = -5.1 - -0.1. Which is the nearest to -0.1? (a) 12 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-3))\/(225\/(-270)). Which is the closest to 0? (a) -3\/7 (b) l (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 304500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6951*n - 6673*n + 11157*n to r + z*n and give z.\nAnswer: -2467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 5, -2\/31, -1, 4\/3.\nAnswer: -1, -2\/31, 1.3, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9252)\/66 + (-2)\/(-11). Let c be 2420766\/x - 12\/(-30). Let p = c - -17299. Calculate the common denominator of 37\/16 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382779 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let t(x) = 3*x + 1. Let s be t(f). Let z(k) = k**2 - 3*k - 3. Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 49*h + 198. Let j be k(38). Is 8 a factor of (-6)\/3 - j - -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16812 divided by 2802\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 1)*(-10)\/4. Suppose o*v = 2*v. What is the nearest to -1 in 2\/3, v, 3\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.456 - 1.4. Let j = y + -0.12. Round j to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*q - 12, -4*o - 11 = 3*q + 1. Let y(g) be the first derivative of 0*g - 2\/51*g**3 + 8 + o*g**2. Solve y(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1229*k + 22326. What is y(18)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - 11 - 174 - (-5 + 6 + (6 - 11)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 7) to base 8.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 144\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -11, 89472 in descending order.\nAnswer: 89472, -11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n + 2. Let p be i(3). Suppose -2*x - p*x = -796. Suppose s + x = 5*l - 0*s, -4*l - 2*s = -148. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 2. Let o be l(2). Let z(q) = -q + 2. Let h be z(2). Suppose o*s + h*s = -4. Let n(c) = 2*c**3 - 2*c**2 - 2*c - 1. Give n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 198\/49427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/5 - 18*r**4\/5 + 38*r**3\/5 - 6*r**2\/5 - 8*r + 24\/5 = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33036360.032233 + -31.032233. Let q = 33036404.999814 - p. Let j = -76 + q. Round j to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2297691997 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209422*u**3 + 245999 wrt u.\nAnswer: 628266*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v. Let m(q) = v*q + q + 0*q + q. Let u(h) = -3*h + 6 - 6. What is m(u(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/29, -15, 6555.\nAnswer: -15, -2\/29, 1, 6555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 2363*a**5\/20 - a**4\/12 - 115*a**2 + 3*a + 112. Find the third derivative of k(l) wrt l.\nAnswer: 14178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 16) to base 7\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 1132872*b + 4531485\/4.\nAnswer: 3*(b - 1510495)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1.82549.\nAnswer: 4.82549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -223*s - 1748. Let c be m(-8). Solve 0 = 36*f - 42*f + c for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:20 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 1 = 5*y, 354086*v - 354090*v + 2 = y + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7)*1 - sqrt(448)*-1)**2 + (sqrt(112) + sqrt(112) + (sqrt(112) + sqrt(112) + sqrt(112) + -1 + 0 + sqrt(112) - sqrt(112)))**2.\nAnswer: -4*sqrt(7) + 3372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 10 - 20. Let s(h) = -3*h**2 - 2. Let k(v) be the third derivative of v**5\/60 + v**3\/6 + v**2. Give r*k(w) - s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/70 - n**6\/15 - 19*n**5\/20 - 3*n**4\/4 - 468*n**2. Factor q(t).\nAnswer: t*(t - 6)*(t + 3)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*p - 8043 = -36*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*y + 3)*(y - 2 + 2) + (y**2 + 4*y**2 - 4*y**2)*(2 + 0 - 1) - y**2 + y**2 + y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 500*h**2*k*q - h**2*k*r + 2*h**2*q*r + 2*h*k*q*r - 9*h*r - 12*k*q*r - 2*k*q - 2*q wrt h?\nAnswer: 1000*k*q - 2*k*r + 4*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14402*n**2*q**2 - 8*n**2 + 6*n*q - q**2 - 6*q wrt q.\nAnswer: -28804*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:55 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*u - 16 = 135*u. Solve 5 = 4*z - g, 0 = -z - g + u*g + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -45. Let v be y\/(-4)*(14 - 1)*106. Suppose 6*t - v - 103 = 0. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 36 + 4. Let q = 8 + f. Suppose 0 = 3*r - 6, q*v = 2*v - 5*r. Solve v*g + 22 = 3*a, 3*g = -5 - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 31, 4 in increasing order.\nAnswer: 2, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 8*l + 71*l - 20*l - 24*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 111 = s. Let k = -7604 - -46291\/6. Let n = s + k. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -10001000?\nAnswer: -1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45172 = 1035*v - 53*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -945423*i*l**4 - i*l**2 + 1030*i*l + 4*i + 10 wrt l.\nAnswer: -22690152*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 390 - 202 = 2*f + 165, 25 = -5*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3)*c)\/(c*c**(-2\/5)\/c*c*c)*(c**1)**(5\/3))\/((c*c*c\/(c\/c**2))**(-6\/13)*c**(3\/2)*c**(3\/2)*c) assuming c is positive.\nAnswer: c**(-82\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y - 39 = -39*y. Suppose -98 = o - 6*o - 4*b, -y = -o - 3*b. Calculate the highest common factor of o and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 + i. Let j(k) be the first derivative of 3*k**4\/4 - 7*k**3\/3 + 7*k**2\/2 - 2*k + 4. Let v(f) = j(f) - 4*q(f). What is v(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 2*i + 2*i + i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 144557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680297*m**2 + 680297*m**2 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56, 55, 54, 53, 52?\n\"Answer: -d + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3671179808.\nAnswer: 2, 114724369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 787330 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -4.7. Let s = -10 + j. Let y = -0.02 + -0.98. What is the closest to 0.2 in 3\/8, y, s?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.543*94.\nAnswer: -51.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z - 5*z - 3*z - 3 + 5*z. Give i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11360 and 23\/31240?\nAnswer: 124960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g + 24*g - 324 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*k - 5*g - 400, 3*g = k - 107. What are the prime factors of (-19)\/38 - k\/(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s**3 + 30*s**3 - 10*s**3 - 9*s**3 + 469 to the form q*s + p + f*s**2 + o*s**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 848 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.004 rounded to 1 dp?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29573080 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1894 + -2218.321206?\nAnswer: -2218.131806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let d be z(0). Let f(p) be the second derivative of d + 2*p - p**2 + 1\/3*p**3. Differentiate f(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(12\/5)\/3. Calculate the highest common factor of 132 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16550*b**2 + 29*b - 25. Is 31 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 d when three letters picked without replacement from jjjddjj?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242500563 - -2?\nAnswer: 242500565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671055089*l**4 - 2*l**2 + 3650058*l - 9.\nAnswer: 16105322136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - 0.67. Let d = h - -0.7. Which is the third biggest value? (a) 0.5 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 50407431?\nAnswer: 50407450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 18 + 6)*(-11 + 10 + 1 - 137*o).\nAnswer: 2329*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:45 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -2\/5 (c) 2\/13 (d) 0 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 45*a + 16244 = 0. What are the prime factors of a?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(18)*-2 + sqrt(18)))**2 + (sqrt(8)*-2)**2 + sqrt(50) + 0.\nAnswer: 5*sqrt(2) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -974 - -1445. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 136 + 128. Suppose 4*c + 17 = g. Let f = 6 - 3. Solve f*y = -5*j - 35, 3 = 4*y - c*j + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162885 divided by -4\nAnswer: -162885\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*s - 42113*b**4 - 281*b**2 + b*s + 298*b wrt b.\nAnswer: -72*b*s - 1010712*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrid when four letters picked without replacement from ffdyffrwffffifiwif.\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b - 20. Let i(k) = 2*k - 15. Let p be i(b). Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l + 7. Let c be b(-5). Let x = c + 1. Is ((-80)\/24)\/(x\/12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q - 11 - 29*q + 14*q. Determine k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/112 - w**7\/35 + w**6\/40 + 16*w**2. Let q(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 41591.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.950577 rounded to one decimal place?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15531 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 + ((-4820)\/45)\/(-4). Suppose -7 + r = 10*j. Suppose 2*c - 34 = j*a, 0 = 2*c + 6*a - 2*a - 40. What is the least common multiple of 2 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -60*z + 2025. Solve 12 = l - 3*i, l - 50*i - 20 = -z*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d3 - 2a77b?\nAnswer: -2a970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63038809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 53 - 116 = -49. What is the greatest common factor of 1974 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-14) - (-1590)\/35 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 886, 1785, 2686, 3589, 4494?\nAnswer: 5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -2793, 4 in decreasing order.\nAnswer: 4, 2, 1, -2793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(5 - -1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose -6*p + 120 = -r*p. Calculate the highest common factor of p and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*s - 2265 = 297*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 3*v**2 - 12*v - 5. Let m(y) = -y**3 - y**2 - y. Let q(n) = -l(n) + 4*m(n). Let d be q(-8). Suppose 24 + 21 = d*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -138. Calculate the remainder when v + 431\/6 + (-2)\/(-12) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**4 - 11*t**3 - 3*t**2 + 16*t + 5. Let v(r) = r**4 - 5*r**3 - r**2 + 8*r + 3. Let b(c) = -3*i(c) + 5*v(c). Factor b(z).\nAnswer: -4*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -15. Let w = p + -28.3. Let z(l) = l**2 - 6*l + 1. Let f be z(6). What is the closest to f in 5, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(8\/13)*d\/d**(-1\/4)*d\/((d\/(d\/(d**(-2\/9)*d))*d)\/d) assuming d is positive.\nAnswer: d**(545\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - (-461)\/(-114). Let z = -961\/684 - v. Let u = -14807 - -237009\/16. Calculate the common denominator of u and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -251*i + 253*i + 2. Let h(k) = 22*k. Let n(g) = 4*g. Let f(s) = i*h(s) - 2*n(s). Let b(y) = 5*y. Determine b(f(a)).\nAnswer: -150*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 1461?\nAnswer: -1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -1 - (-3 + -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 6*i + 3*i, -5*p - 5 = 2*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04302 and -6157.\nAnswer: -6156.95698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 316.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 936 * 0.8\nAnswer: 748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11871243*m*r**2 + 710879*m + r**2 + 32*r wrt r.\nAnswer: -23742486*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53135 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.5, -0.4, 0.\nAnswer: -8, -0.5, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Suppose -2*z - 3*z + 80 = 0. What is the lowest common multiple of (19 - -1 - k) + 1 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-26)\/(-40)*-5)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxvi when four letters picked without replacement from xixivxxivg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/2 - 5389*y**3\/2 - 273105*y**2\/2 - 4632959*y\/2 - 13112797 = 0. What is y?\nAnswer: -5338, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1713*d**4 - 17112*d**3 + 42645*d**2 + 450*d = 0. Calculate d.\nAnswer: -6\/571, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let i be (k - 2) + 100\/36. Which is the second biggest value? (a) -2\/3 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36463 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: Put 5, 0.02, -2.18, 4 in decreasing order.\nAnswer: 5, 4, 0.02, -2.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 20*z**2 + z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7.6. Let v = -34 - 49. Let p = 82 + v. Sort p, -5\/2, 0.1, f in descending order.\nAnswer: 0.1, f, p, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 7*u + 23. Let f be k(10). Let z = f - 35. Let c be 2\/((4\/z)\/((-24)\/(-36))). What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84474431 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15444 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 93319\nAnswer: 93319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lddlldllllllldlldlll. Give prob of picking 1 d and 3 l.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-12)*(26\/(-20) + 1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127056 a multiple of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 78. Let l be y(-25). Let m be 18\/(-42)*l\/(-9)*8. Sort -1, m, 0 in descending order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-8)\/(-576)*840\/6090?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 6 + -5)*6630\/390?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 35698405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*w. Let k(c) be the first derivative of 0 - 1 - 2 + 2*c**2 + w + 2*c. Find the first derivative of k(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22198 and -9419?\nAnswer: -209082962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 191444110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 250, 422, 594, 766, 938?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4061b98 (base 12) to base 9\nAnswer: 24638328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3 - 10*h**5 + 8*h**5 - 23*h**2 - h**5 wrt h?\nAnswer: -180*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -332, -498, -664, -830?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 650486.1 litres in millilitres?\nAnswer: 650486100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58987.\nAnswer: 61, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11038*k + 88311. Give x(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 106*k**2 - 2476*k + 25. Calculate s(23).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0.091, -1, 1?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -29123 + 5923. Which is smaller: 931 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/20*(11 + 891\/(-77)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t = 12*t - 200 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-6)\/4*(-3)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 234.79.\nAnswer: -54.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9298, -9653, -9994, -10321?\n\"Answer: 7*u**2 - 376*u - 8929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, 1 x, and 1 l when four letters picked without replacement from gxxbbbbbxxbgugl.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.056 times 33\nAnswer: 67.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) -1 (c) -113 (d) 0.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -477679\nAnswer: 6\/477679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2741281, 5482565, 8223849?\n\"Answer: 2741284*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -3\/8 (c) -0.02 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 831 - 831. Suppose n = 6*b - 2*b + 2*x - 564, -4*b + 576 = 5*x. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77518 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1025, 0 in decreasing order.\nAnswer: 0, -4, -1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*(-640)\/(-560) - (-8)\/(-14))\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3 - 2130*g**2 + 1490625*g - 341293500 = 0.\nAnswer: 540, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**7\/70 - l**6\/18 + 8*l**5\/45 + 10*l**4\/9 + 8*l**3\/9 + 3*l**2. Let z(o) = 0. What is o?\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 164.\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 24140*n + 168934. Calculate t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 113*a - 37*a - 15213590 + 15213590.\nAnswer: -166*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.11 (b) -2\/3 (c) 0.3 (d) -7866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*k**2*s + c**2*s*y**2 - 9*c**2*s + 3*c*k**2*s*y**2 - 2*c*k**2*y - 2*c*k**2 - 3*c*s*y**2 + 2*c wrt c?\nAnswer: 2*k**2*s + 2*s*y**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*h + 3474, -3*h - 1162 = -r - 6*h. Calculate the remainder when r is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 5. Let h be (-2)\/3*(0 + 6). Let i be d(h). Let p be 2 - -3*3\/i. Is p > -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 0.2, -3 in ascending order.\nAnswer: -34, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113875, 114496, 115115, 115732?\nAnswer: 116347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.073838*4.\nAnswer: 0.295352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 28*w = 0. Suppose 5*j + 5*b = -25, 3*j + b + 1 + 4 = w. Let x = 7 - 7. Solve j = -x*m + m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 3*r**2 - 10*r. Suppose o - 4*p = 13, -3*o + 8*o = -4*p - 31. Let j(x) = 5*x**3 - 7*x**2 - 20*x. Determine o*j(g) + 7*a(g).\nAnswer: -g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-4)*k)\/k))**21*k*k**22*k*k*k**(2\/19)*k*k*k assuming k is positive.\nAnswer: k**(2529\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151828*f + 300191*f - 127677*f to the form l*f + o and give l.\nAnswer: 20686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 322876.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (3*sqrt(45))\/sqrt(9)))**2.\nAnswer: -288*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 14*c - 504 + 234 + 270.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 7, m: 4}. Give prob of picking 1 t and 2 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535813 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 0*h + h)*(0 - 4 - 2)*(-2*h + h + 0*h) to the form n*h**2 + c + l*h and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -1*sqrt(1331) - (-1*sqrt(1331) + -4)))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1324 - 6954. Let t = -82663\/10 - r. Find the common denominator of -23\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84116293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(2*m**4 + 16*m**2 - 16*m**2) + (4 - 46 - 34)*(-3*m**4 + 0*m**4 + 0*m**4) to f*m**2 + x*m + a*m**4 + t + h*m**3 and give a.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 502*p + 612*p - 1373*p in the form x*p + a and give x.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 351697330208 and -44.\nAnswer: 351697330164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34649963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849811086, -849811089, -849811092?\nAnswer: -849811095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84, -43, 56, 237, 524, 941, 1512, 2261?\n\"Answer: 4*d**3 + 5*d**2 - 2*d - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000088164 to 7 dps.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 23*f - 5. Let l be y(-8). Suppose -3*n + 1005 = 4*m, -l*m - 2*n + 1149 - 395 = 0. Calculate the highest common divisor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002483 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(18\/7))**(-20)\/(y\/(y*y**(-19))*y)**2)**(-16\/7) assuming y is positive.\nAnswer: y**(10240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5088 or -5415?\nAnswer: -5415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4\/3 - 5211*r**3 + 58411943*r**2\/3 + 7072073175*r + 7052597316 = 0.\nAnswer: -332, -1, 7983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3788 by -6.\nAnswer: -1894\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drrd when four letters picked without replacement from {k: 4, u: 1, r: 6, e: 3, d: 2}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149713 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/3 - 3*n. Let l(j) = -65*j. Calculate r(l(y)).\nAnswer: 16900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -i*w + 9 = 3. What is the least common multiple of (4\/(-3))\/(2\/(-9)) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 5:25 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0)\/((-6)\/9). Solve -h*i - 10 = i - 2*d, 5*i - 3*d = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4579 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 8*t = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 86 - 40 = -23*u. Solve 9*v - u*v = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3202332031 (base 4) in base 14?\nAnswer: 1a2b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -24303?\nAnswer: 24305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 2*y + 403*y**2 + 199*y**3 - 403*y**2 + (-y**2 + 2 - 2)*(y + 0 + 0).\nAnswer: 198*y**3 + 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -5, 0, 5 in descending order.\nAnswer: 5, 0.9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 45*z - 406 + 21 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 210031?\nAnswer: 210033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -26.35212311687.\nAnswer: -26.35212311687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c**5 - 33*c**4 - 2034*c**3 + 5460*c**2 - 2856*c - 576 = 0.\nAnswer: -8, -2\/13, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 5*k - 5. Let i(s) = s**2 - 10*s - 9. Let n(a) = 175*a + 1053. Let p be n(-6). Give p*i(f) - 5*g(f).\nAnswer: -2*f**2 - 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = 12. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2115)\/400 - (12 - 18) and -37\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360*b**2 + 5*b.\nAnswer: -5*b*(72*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 103 = k, 5*s + 5*k = 2*k + 127. What is the remainder when 178 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 29 = -2*b + o, 4*b - 8 = -4*o. Suppose -4*d + 54 = b*j, 2*d - d = -j + 15. Calculate the highest common factor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54626*a*f**2*g**2 - 152*a*f**2 + 4*f**2*g - 20*f*g - 2*g wrt g?\nAnswer: -109252*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {g: 2, b: 1, c: 1, s: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.2063?\nAnswer: -0.7937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284145 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16451d + -5?\nAnswer: -164524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*x - 192. Suppose -n - 2*n = -x. Suppose 4*d - 6*d + n = 0. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -5 + (-3 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231514?\nAnswer: 2, 3, 123973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -69, -106, -143, -180?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 2*r**4 + 4*r**3 + (-2*r - 6*r + 0*r)*(-2 + 2 + r**3) to the form v*r**2 + i*r**4 + u*r + y*r**3 + z and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**3 - 18*s + 753. Let j(u) = 2*u**3 - 3*u - 2. What is -6*j(g) + n(g)?\nAnswer: -3*g**3 + 765","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 126?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 3. Let o(z) be the second derivative of 5*z**3\/6 - 7*z**2\/2 - 3*z. Let m = 3 - 17. Let f be ((-18)\/27)\/(2\/18). What is f*o(n) + m*x(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -5 - 3 - 1. Let i(k) = -5*k. Let d be i(0). Find n, given that d + 1\/2*n**3 + 9\/2*n + y*n**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 9:49 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 3.1, 3, 0.3, 18 in ascending order.\nAnswer: -1\/9, 0.3, 3, 3.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -89?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750665.4 rounded to the nearest ten thousand?\nAnswer: -2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -15\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -9*u + 7*u. Let k = u + 22. List the prime factors of 12\/2 - 30\/k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (-1 - 0) + 27 + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 10\/23 (c) 33 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5132364*m**3 - 23107406.\nAnswer: 15397092*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 417227 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 8146.\nAnswer: 5\/8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21241.\nAnswer: 11, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 59*m + 1 - 3*m - 10*m. Let w be (8\/5)\/((-10)\/(-25)). Is k(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 + 6 = 0. Solve -v*t - 2*t + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 171651720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65139 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**4\/12 - 11*z**3\/6 - 2*z**2 - 51. Suppose 3 = 5*k - 7. Let u be j(k). Sort -0.1, u, -1 in descending order.\nAnswer: -0.1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Which is the third smallest value? (a) u (b) 4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 24 = q, 4*q - 26 - 5 = -3*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*m - 9 + 2, 2*y + 3*m = 1. Suppose -6*d + 2*i = -y*d - 74, 4*i + 28 = 2*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (0 - -3)) + 1. Suppose j = 2*r + r + 960. What is r rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1\/2)\/(18\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 10. Let h = 9 + -4. Let t = -40 + 41. Which is the third smallest value? (a) t (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/4 - 6295*g**2\/4 + 6292*g - 6291 = 0. What is g?\nAnswer: 2, 6291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5188.7*-269\nAnswer: 1395760.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-21)*(-13)\/13. Which is the nearest to 5\/4? (a) -1 (b) 3\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/54 and 52\/141?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40900, -41329, -41780, -42265, -42796, -43385, -44044?\n\"Answer: -2*n**3 + n**2 - 418*n - 40481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((561\/(-119))\/(-33)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q - 48 = -101*q. Suppose -23 = -3*u + 2*z - 0, -3*u + q = 5*z. What is the third derivative of -36*y**5 + u*y**2 - 130*y**3 + 130*y**3 wrt y?\nAnswer: -2160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.4, -4.3, -2\/881, -3, 2.\nAnswer: -4.3, -3, -1\/2, -2\/881, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3 - 6) + 40 + -27 + -9 - -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*h + 29, -142*h + 141*h + 6 = 3*z for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 2*b, r = 5*r - 2*b. Let j be (8\/(-14) + 0)*(-1953)\/744. What is the closest to r in j, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 26*h = -290, 81*r - 166*r + 5*h + 9 = -84*r - 35 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 49 + 1. Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.264 - -2\nAnswer: 0.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 0.0428 (d) 160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253108\/36 - (-10)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24027 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 182320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/5228248 and -67\/201280.\nAnswer: 209129920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -2\/3, 1, -1\/4, 116, 0 in ascending order.\nAnswer: -2\/3, -1\/4, 0, 0.1, 1, 2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -3.91. Let l = -0.305 + -0.095. Let b = 0.39 + -0.09. What is the closest to 2\/3 in d, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69042 - 8124 = -54*r. List the prime factors of r.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 71655552?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3768, -7513, -11244, -14955, -18640, -22293, -25908, -29479?\n\"Answer: t**3 + t**2 - 3755*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28\/(-126) + (-773591)\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -105*w - 4. Let u(m) = 2*m + 1. Calculate f(r) + 2*u(r).\nAnswer: -101*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17232103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h + 12. Let k(f) = -8*f - 12. Calculate -3*g(w) - 2*k(w).\nAnswer: -11*w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 40*y**2 + 0*y - 141 + 247 + 2*y - 104. Determine q(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 25*n**2 - 27*n + 28. Let v be a(26). Let p be (-1)\/(-6) - (v + (-11)\/6). Sort -0.7, 5, 4, p in descending order.\nAnswer: 5, 4, p, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 0 - 177*l**2 + 0 - 1 to the form o*l + v*l**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*i + 75, -5*a - 5*i = -9*i + 30. What are the prime factors of 2\/(a\/55)*-3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12157946, 24315859, 36473772?\nAnswer: 48631685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1840840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 183016, 5, 2 in ascending order.\nAnswer: 2, 5, 183016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13)*f**(-1) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 5 = 0. Suppose -n*x - 41 = -256. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 7*c - 5, c + 1 = 392*t - 390*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.8 - 37. Let l = p + 3.200066. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -152247 (b) -548 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -545 + 547. What is the third derivative of -1061*s**6 - 13*s**2 + 874*s**6 - 98*s**k wrt s?\nAnswer: -22440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aooooaooowoooow. Give prob of sequence wo.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11879161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (34090*z + z**2 - 33983*z - 2*z**2)*(-7*z - 2*z**2 + 7*z) as r*z**4 + x*z**2 + s + w*z**3 + v*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -6, -4, 1, 0.39, 5, 6 in increasing order.\nAnswer: -6, -4, -0.04, 0.39, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 2.001 (c) -304\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 457765.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3123\/11 - 4518959\/15917. Let v = -686 + 685. Is t equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22680629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*z + 75, -3 = -3*z - 0. Does 4 divide 74*u\/36 - (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*n**2 + 144 - 1477 - 1017*n - 152 - 3*n**3 - 144*n**2.\nAnswer: -3*(n + 3)**2*(n + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15180357 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*a + 7, -4*a = -4*k - 0*a + 28. Suppose m = 3*p - 79, -p + m + 12 = -15. Suppose -3*f + k = -p. What is the least common multiple of 8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.065 - -11.065. Let f = -0.06 + 1.96. Let v = f + -2. What is the closest to v in u, -1, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t - 9*t - 6*t**2 - 13*t - 35*t**2 + 11*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 5.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1906 - 6104 + 1694*o - 1247 - 821*o + 3188*o wrt o.\nAnswer: 4061","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 1, s: 3, o: 11, g: 1}. Give prob of picking 3 o.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28770 + -28770. Sort -5\/6, g, -177 in ascending order.\nAnswer: -177, -5\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = 7*y - 17*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -12. Let n = 28 - k. Suppose 2*d = n*d - 60. Calculate the least common multiple of 22 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/(p*p**(-1\/9))*p*p)*p*p*p*p\/p**(-1\/6)*p)**(-7\/8) assuming p is positive.\nAnswer: p**(-259\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**2 + 4145242*v - 24871884.\nAnswer: 2*(v - 6)*(6*v + 2072657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/112 and 27\/1354.\nAnswer: 75824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:18 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1068, 1055, 1044, 1035, 1028, 1023?\n\"Answer: z**2 - 16*z + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -10, 4, 1, -539, -4 in decreasing order.\nAnswer: 5, 4, 1, -0.1, -4, -10, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.5 + 98.49517. Let q = l - 2.02417. Let i = q + 0.029. Which is the closest to 1? (a) -2\/9 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 13*b**2 - 29*b + 12. Let t be i(-10). Suppose 2154 + 2757 = 4*w + 5*l, -3666 = -3*w + t*l. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*u + u = -40, -5*v + 48 = -2*u. What is the third derivative of -v*t**2 + 14*t**3 - 3*t**2 + t**3 wrt t?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623*w + 633*w - 37480 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + 35\/(6 + -1))\/(9\/(-48)). Calculate the highest common factor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 1, c: 2, v: 1}. Give prob of sequence ncn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tozuuva. What is prob of picking 1 o and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c - 17*c + (-c - 2 + 2)*(1 + 2 - 2) + 3*c - 28 + 28 - 6*c + 46 - 46.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/10133270 and 33\/14186578.\nAnswer: 70932890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200603?\nAnswer: 13, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s + 4*s - 3*s - 1)*(-s**4 + 0*s**4 - 3*s**4 + 5*s**4 - 21*s**4 + 5*s**4 + (-s**3 + 2*s**3 + s**3)*(-3*s + 5*s + 0*s) - s**4 + 2*s**4 + 3*s**4).\nAnswer: -84*s**5 + 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 5926\nAnswer: -41\/5926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11058459011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**2 - 5*j + 1. Let r be q(1). Suppose 12 = -r*t + 9*t. What is the smallest common multiple of t and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.045 or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 3\/4, -4\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78100 rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-65)\/35 - -2)\/(38\/7). Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:09 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + t**2 - t**5 + (4*t - 4*t - 6*t)*(t + t**4 - t).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29179337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 84447 divided by -3\nAnswer: -28149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-12)*(45\/6)\/(-15)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -32. Are n and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - 2015\/186) + 5.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*c + 44, 2*j - 5*c = -2*c + 27. Let i(k) = k**3 - 5*k**2 - 8*k + 8. Let f be i(j). Let t be (-2)\/f - 3\/6. Is t <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421098 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 45, 32.21 in descending order.\nAnswer: 45, 32.21, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-3 - -8))\/(1 + 7\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -53, -60, -67, -74?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 687 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -11)\/9*(-1)\/2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**6\/60 - u**5\/30 + u**4\/6 + 3*u**2 - 8. Let b(y) be the second derivative of g(y). Factor b(o).\nAnswer: -2*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 2*b**2 + 11*b + 11*b + 9*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 20 = 6*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(-8) + 5\/(-20). Let l = 2 - k. Let q = l + -6. Is 3\/5 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -27 - (-47 + 92)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.4. Suppose 0 = 4*f + 12, 3*i + 3*f + 5 = -1. Let m be i*2 + 48\/(-23). What is the nearest to -1\/4 in b, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0860835ml to litres.\nAnswer: 0.0000860835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -2*7\/(-10). Let l = -1160 + 1162. Factor u + 2\/5*y**l + 4\/5*y.\nAnswer: 2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/17)*b*b**(2\/15)\/b)\/(b**(8\/7)\/(b\/(b*b**(-2\/21)\/b*b))))**(-2\/51) assuming b is positive.\nAnswer: b**(316\/10115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 2546055?\nAnswer: 2546100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**7\/d)\/d**9)\/(d\/((d**0*d)\/d))**(-11\/3))**33 assuming d is positive.\nAnswer: d**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/6 - (0 + 357). List the prime factors of g\/(-24) + 2\/8.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - 34\/(-6). Let h = s - 4. Let v be h + 20\/(-6) - -1. Which is the smallest value? (a) 5 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -6\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7406 divided by 129.\nAnswer: -7406\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h. Let i(q) = -1483799*q**2. Give i(g(j)).\nAnswer: -72706151*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77746 is divided by 38741?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 1\/2, -6, 3, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.7208 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 400*u**4 - 784*u**3 + 8*u**2 + 788*u + 392 = 0.\nAnswer: -98, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 3*g**2 - 4*g - 9. Suppose -15 = -4*r - 27. Let j be i(r). Does 4 divide 15 + (-2 - j\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 17*q - 17. Let l be p(-18). Let h(w) = 4*w - 1 - w + l. Let y(f) = -7*f. What is h(y(z))?\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 493? (a) -3 (b) 1 (c) 0 (d) -1\/318 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*k**3 - k**4 - 45*k**2 - 140*k - 134*k + 274*k.\nAnswer: -k**2*(k - 45)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 6:49 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6467 is divided by 612.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 - 2563*b**2*n**3 + 1351*b*n**3 + b - 1 wrt b?\nAnswer: 24*b**2 - 5126*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca31 (base 14) to base 10.\nAnswer: -34931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1. Let p(j) = -j + 12. Calculate l(m) + p(m).\nAnswer: -m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -487 * 6.3.\nAnswer: -3068.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 330 + -325. Solve -3*m - p*l - 15 = -2*m, -4*m + 16 = l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.61 - 4.61. Let v = 0.067 + 34.933. Let w = 32 - v. Which is the second biggest value? (a) t (b) w (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 + (-314 - -316)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(2*((-32)\/4)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k + 156. Calculate the least common multiple of 2 and k.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 + 3 - (-2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002802 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j + h, 5*h = j - 2*j - 9. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*x**2 + 31*x**2 - 11*x**3 - 29*x**2 - 20*x**3 wrt x.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-259)\/(-74)*(-9)\/266. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.128.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 3, j: 1, e: 6}. Give prob of sequence nqn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*m + 60, 0 = -y + m + 275 - 290 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79560.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z - 2. Determine o(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*c - 510*c - 154*c - 69*c in the form j + k*c and give k.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 126. Give n(0).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 9, t: 4}. Give prob of sequence tthj.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 1. Let z be j(-1). Let i(y) = y**3 - 4*y**2 - 4*y - 2. Let s be i(5). Solve -2 - z = s*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**3 + 81*i**2 - 8*i + 2. Let n(g) = -38*g**3 - 322*g**2 + 36*g - 9. Let q(l) = -9*d(l) - 2*n(l). Suppose q(j) = 0. Calculate j.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f - f + 0*f. Let m(c) be the third derivative of -11*c**5\/60 + 387*c**2. Determine j(m(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 643913 and 40673?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4518*w - 346*w**3 - 4503*w - 33 - 8854*w**3 wrt w?\nAnswer: -55200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let a(h) be the second derivative of -h**6\/72 + h**3\/2 + 2*h. Let x(p) be the second derivative of a(p). Calculate x(m(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 79*g + 2545. Calculate the remainder when 485 is divided by c(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:20 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-2)\/(-2))\/((-3)\/12). Let u be 32\/14 - y - (-2)\/(-7). What is the highest common factor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + -2*(sqrt(15) - (sqrt(1215) + -6*sqrt(1215)))\/(-3*-4*sqrt(3)))**2 + -3).\nAnswer: -5254\/3 + 92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-11\/4)\/w)\/w)\/w)\/w*w)\/w*w**20\/w*w assuming w is positive.\nAnswer: w**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -320\/7. Let l = 11\/3 - 74\/21. Which is the nearest to -0.2? (a) -1 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 8*f - 8. Let u(c) = c**2 + 7*c - 7. Let p(g) = -5*l(g) + 6*u(g). Let j be p(-2). Let r = 11 + -10.8. What is the nearest to -0.1 in 0.3, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 15. Let s = -25185 - -25187. Put x, s, 1\/2 in ascending order.\nAnswer: 1\/2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z + 4. Let s be x(-5). Suppose 5*k = 3*n - 5*n - 31, s*k + 17 = n. Let q(w) = -w**2 - 4*w - 4. Give q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*w + p - 9, -5 = -2*w - p. Let s = 3 + -1. Solve -w*f = -s*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + n**2 + 4*n + 3. Let s(w) = w**2 + 11*w + 18. Let k be s(-11). Let h be 3 - (-60)\/k*3\/(-2). Determine t(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4257008 and -4257008 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.73803 hours to seconds.\nAnswer: 6256.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14448 and 9?\nAnswer: 43344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - z**2 + 2*z - z**2 - 2*z - 2*z**2 + 2 - 2 + (z + z - z)*(-4 + 4 - 2*z) - 2*z**2 - z**2 + 0*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -25*n - 23*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 8*p. Suppose 2*j - 24 = 8*j. Let r(v) = -1. Let l(b) = j*r(b) - d(b). Let z be l(-6). Let k(q) = q**3 + 9*q**2 + 7*q - 5. Give k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.51 and 2.\nAnswer: 1.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5281416 divided by 4.\nAnswer: 1320354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 + 2*g - 3. Let v be j(-3). Let s be 4\/16*(-2 + 6). Sort s, 11, v in decreasing order.\nAnswer: 11, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 3*b - 6. Calculate w(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 45 = 4*u. Let v = u - 5. Let p(z) = -14*z**3 + 23*z**3 + 2*z + 3*z - 7*z**3 - v. Let c(h) = -2*h**3 - 6*h + 5. Give -4*c(n) - 5*p(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.29 - 0.71. Which is the nearest to 0? (a) 1 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 736478256 + 1.9?\nAnswer: 736478257.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1256383 and -1343.\nAnswer: -1257726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 4*n**4 + 4*n**4 + (3*n**3 - 7*n**3 + 3*n**3)*(-n + 0*n - n) + n**4 + 0 + 0.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 21*y - 3. Let d = 11046 - 11048. Let w(p) = 4*p**2 + 20*p - 2. What is d*o(u) + 3*w(u)?\nAnswer: 2*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -2\/17, 4, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14\/t)**(-3\/25) assuming t is positive.\nAnswer: t**(-39\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44862.77 centuries in decades?\nAnswer: 448627.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -193 divided by 21\nAnswer: -193\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.002? (a) 0.02 (b) 2 (c) 1\/3 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, 2\/161, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 0, -6*p + 2*p = -5*c + 3. Suppose p*u - 78 = 39. Suppose -3*r = 4*r + 14. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2258 + -5.2258. What is the fourth smallest value in -0.5, z, -3, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129314081.\nAnswer: 13, 9947237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)*x**(-2\/5))\/(x*x*x**(-1\/2))**(2\/37))\/((x**1)**(-30)*((x*x*x**(1\/3)\/x)\/x)**(-15)) assuming x is positive.\nAnswer: x**(5831\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m - 61. What is s(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 10*b - 9. Let t be i(-9). Suppose t*p + 204 = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/33*(-594)\/162. Which is the second smallest value? (a) -5 (b) -0.3 (c) r (d) 23\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2108208304225 + 84*h**2 + 2108208304225.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:44 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1130\/7 - -161. Let b = -53\/56 - -11\/8. Let l = -273.76 + 273.66. Put 1\/6, b, m, l in increasing order.\nAnswer: m, l, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10.4. Let l = 4\/147 + -110\/441. What is the second biggest value in -0.5, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 67 = 5*u - 226, 2*f - 217 = u. Calculate the highest common factor of 1802 and f.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(3*(-8)\/(-108))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/312 and -85\/8397552.\nAnswer: 109168176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 619578, -4, 1 in increasing order.\nAnswer: -4, 1, 619578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004651179 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence affq when four letters picked without replacement from {y: 4, p: 2, a: 1, q: 1, w: 1, f: 6}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5644 divided by -166.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897643316 less than 0.00398?\nAnswer: 1897643316.00398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 7)\/(12\/(2 + 10)). Suppose -16*g + 63 = -r*g. Calculate the remainder when 9 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b + 2*b - 2*b + 2*b + 16. Let c be k(2). Let 0 + 2\/3*v**c + 0*v - 4\/3*v**2 - 2\/3*v**3 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = 2*k - 1, -6934*k + 6930*k - 5*b = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/5 (b) 0.0068 (c) 1\/3 (d) 5 (e) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*t - 7*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -32186 + 7730. Let y be (37684\/(-6))\/(4\/s). Let u be (y + 0 - -1)\/1. What is u rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38404, -38406, -38410, -38416?\n\"Answer: -g**2 + g - 38404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273363 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 98*q - 284. Calculate the remainder when 483 is divided by z(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**2 - 11*x**2 + 3 + 3*x**2 as g*x + c + t*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 217 - 193*p + 391 + 194*p.\nAnswer: p - 25","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -120. Let c = 23 - z. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-1 - 0) - -1. Suppose -2*t + l*u - 3*u + 17 = 0, 0 = 4*t + 2*u - 22. Let z(c) = 2*c - 10. Determine z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117275402*y**4 + 14164481*y**2 wrt y.\nAnswer: 2814609648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-7))\/((-60)\/(-336)*-4)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z - 3. Suppose 5 = -2*g - 7. Determine q(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3 + (-16)\/5). Solve -q = -4*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*n + 717*n - 1424*n + 160 = 0 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 6. What is the second biggest value in -0.4, l, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 2, c: 1}. What is prob of picking 2 g and 1 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4831156 divided by 1861.\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4310 + 4291.036. Let i = 0.036 - q. Let l = i - 18.7. What is the nearest to 4 in -3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**20*f)**(-3\/22)\/(f\/(f**(2\/57)*f)*f)**41)**(-19) assuming f is positive.\nAnswer: f**(53201\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 10, s: 2, v: 5}. Give prob of sequence siv.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 12. Calculate y(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*12\/(-56). Which is the closest to -2.2? (a) -4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/14*36\/114?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 63*s**2 - 572*s + 30. Give t(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17329 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 g when three letters picked without replacement from {z: 2, g: 2, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/8 + 2*v**3\/3 + 23*v**2. Give r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30a (base 12) in base 3?\nAnswer: 121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 6*u - 4. Let h be l(7). Suppose 0*o = -h*o + 3*n + 27, 3 = -3*o - 3*n. Suppose 4*g = o + 36. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-87 + 8 - 18 - -5) + -12?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -822225 rounded to the nearest 10000?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*n - 5*t, 5*t - 5 = 5. Let i = n + 13. Suppose -x + 3*c = -i, x + 3*c = 1 - 0. Solve 5*j + m - x = 5*m, 0 = -5*j - m - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37683 - -833\nAnswer: -36850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -531 by 3.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/60 - 790*l**4\/3 + 4992800*l**3\/3 + 737*l**2 - 1. Solve g(m) = 0.\nAnswer: 3160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 348362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 480, 482, 494, 522, 572?\n\"Answer: o**3 - o**2 - 2*o + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -209.6956 - -0.0956. Let r = a + 5.6. Let x = r - -204.00000109. What is x rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u**2 + 3*u - 10. Let n be f(5). Which is the nearest to -2? (a) 0.4 (b) 0.6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7244244 and 4788.\nAnswer: 7244244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*o = -4*o + 2670096. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -337, -662, -1083, -1588, -2165, -2802?\n\"Answer: 2*m**3 - 66*m**2 - 33*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300 - -358. What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-63))\/((4\/26)\/((-2358)\/5109))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -2. Let z = -1.53 + 0.03. Let x = z - -1.4. Which is the third biggest value? (a) s (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 3090*f**2 - 6195*f - 3100.\nAnswer: 5*(f - 620)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 173891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*p = -y + 10, -4*y - 5*p + 10 = 0. Suppose -2*o + 5*i + 0*i + 9 = y, 13 = 5*o - 3*i. Solve 5*t + 2 = -0*t - 2*m, o*t = -3*m - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474981958 and 7418?\nAnswer: 7418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = 5*d, 39*d - h + 6 = 43*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/6)*r)**(4\/9)*(r*r**(2\/13))\/(r*r\/r**(-1)*r))**(-3\/4) assuming r is positive.\nAnswer: r**(713\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39001, 70803, 102619, 134455, 166317, 198211?\nAnswer: 230143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/50 - 2*g**4\/15 - 4*g**3\/15 + 22*g. Solve q(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22657 + 7565 = 4500*b - 4157*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/516033 and 20\/57337.\nAnswer: 516033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -3, 8, 17, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 72. Let g(t) = 3441*t. Give g(k(n)).\nAnswer: -13764*n + 247752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9\/60*4)\/((-22)\/220)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-19172)\/(-312))\/((-1)\/((-76)\/6178)). Let c = 3\/6178 + d. Let b = 1\/13 + c. Is b bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 27 + 1. Suppose 0 = 5*d - 5*q - 65, 5*d - 103 = -5*q - i. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5760 - -8445. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**3 - 6 - 137 + 143.\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206112 is divided by 228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -375 and -0.4?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2057) - (sqrt(2057) + 0)) + 4) + 4)**2 - (-2 + (sqrt(272)*1 - sqrt(272))**2 + 2)*-5.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 8. Let h(j) = -7*j**2 - 3*j**2 + g*j**2 - 12*j**2. Let z(l) = -13*l**2. Give z(h(w)).\nAnswer: -1053*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -79*k**3 + 10*k**2 + 60*k - 30. Let h(p) = 80*p**3 - 12*p**2 - 57*p + 36. Determine -5*h(u) - 6*x(u).\nAnswer: 74*u**3 - 75*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*l + l + 4 = 0, -d + 3 = -3*l. Suppose 3*m + 3*c = -13 + 1, 5*m + 3*c + 18 = d. Is ((-14)\/m)\/(24\/828) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32312 - -1?\nAnswer: -32311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 88*h - 110*h - 8 + 52*h - 8.\nAnswer: -146*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -50*h - 62. Let m(l) = -32. Let f(s) = -2*m(s) + w(s). Calculate f(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022301 rounded to 7 dps?\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10455.\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2969 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 839350.954.\nAnswer: 839282.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031 + 2?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.9 + 9.9. Which is the closest to 1? (a) x (b) -5 (c) -11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 89, 150, 235, 344, 477, 634?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-22 + -6 - -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*o - 11 = 8*q, q - 2*o + 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6727860988 to the nearest integer?\nAnswer: 82024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10379 and 1067.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 - 74*y**2\/3 - 196*y\/3 + 272\/3.\nAnswer: -2*(y - 1)*(y + 4)*(y + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 8*o**2 - 6*o - 11. Give a(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*1416\/(-80)*(-30515)\/12206?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/7 + 1132*d**4\/7 - 27790*d**3 + 11718608*d**2\/7 - 21410208*d + 60592896 = 0. What is d?\nAnswer: 4, 12, 119, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2. Let m(x) be the third derivative of -x**5\/10 - 19*x**2. What is m(j(c))?\nAnswer: -216*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 2*z + 1. Let n be d(-1). Suppose 2*s = -5*p - 9 + 36, 5*s = n. Solve -p*t + 4*t = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 55 - 10*i + 26*i - 7*i. Let w be g(-4). Solve w*h = 20*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, t: 6}. Give prob of picking 3 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22*g - 16. Calculate u(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 14}. What is prob of picking 1 x and 2 a?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47132 and 4?\nAnswer: 47132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 61*v**2 + 58*v - 247. Calculate w(-62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m - 19*m - 389*m.\nAnswer: -343*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 4 + 5)*(2*i - 2*i - i)*(5 - 4 - 2) - 4 + 4 + 2*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 147539 = -20*z + 21049. What is the greatest common factor of z and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9 - 48\/(-18). Solve -5*k + 9 + 1 = -i*x, -4 = 4*x - 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7624*m + 13. Let g(t) = 88*t. Give q(g(b)).\nAnswer: -670912*b + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 0.055624\nAnswer: -0.00111248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 51\/7, -279\/2, 2\/157 in decreasing order.\nAnswer: 51\/7, 0.11, 2\/157, -279\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 + 2*k**2 + 17*k**3 + 3*k + 10*k**3 - 28*k**3. Let p be s(3). Let x = -5 + 4. Sort p, x, -0.1 in ascending order.\nAnswer: x, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317403648 a multiple of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1564.06107 - -0.06107. Which is the smallest value? (a) l (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.5, -0.23, -1462976?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(14\/4)\/1. Let c(y) = 6*y - 3. Is c(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5957*s + 35744. Calculate w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (24024\/891 - 22)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.087 (c) -1\/5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -156\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -61. Suppose -4*i = -4*t - 116, -52 - 58 = -4*i + 2*t. What is the greatest common divisor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147214729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418249.\nAnswer: 13, 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-76))\/((-1620)\/(-30780)).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1403104342?\nAnswer: 1403104342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 18. Let j(f) = -f + 12. Let a(n) = -7*j(n) - 5*m(n). Suppose -3*p = -2*i + 8, -i - 4 = i. Give a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**5 - 29268*j**4 + 1561448*j**3 - 7309488*j**2 + 11437472*j - 5660160 = 0.\nAnswer: -7370, 1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 171*u**2 + 10*u + 45. Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2261*t - 134051 = 119181 for t.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 76, 105, 128, 145?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33203223 (base 6) in base 9?\nAnswer: 1777306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*f - 42 = 0, 5*f + 15 = -0*f. Let s = -2 + 5. Suppose -5*p = s*x - m, 5*p = p - 5*x + 20. Is -1\/4 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/45))**(2\/21))**(-10) assuming z is positive.\nAnswer: z**(8\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 12. Let w(g) = 2*g**3 - 2*g**3 + 4*g**l - 3*g**3. Is 17 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, u: 6}. Give prob of picking 3 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208660687.\nAnswer: 61, 3420667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31368095.\nAnswer: 5, 11, 570329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-2)\/(-3) + 56\/(-84). Solve 3*m + 2*d - 12 = 0, o*d = 3*m + 3*d + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5071 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*f - 108, y - f = -6*f + 30. Suppose -s + 5*s = y. Solve i = 3, -s*h - 5*i + 19 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426711 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000129742689 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 913 + -73039\/80. Let j(z) be the third derivative of 1\/8*z**3 + 0*z + 1\/16*z**4 + 21*z**2 + p*z**5 + 0. Factor j(q).\nAnswer: 3*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 + 3*z**3 + z**3 as l*z + v*z**2 + m*z**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 - (1089 - 1161)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.64566 days to nanoseconds.\nAnswer: 746985024000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3069631, 3069634, 3069637, 3069640, 3069643, 3069646?\n\"Answer: 3*s + 3069628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49818207239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 17*q + 5. Let y(s) = -11*s + 19 - 3*s**2 - 23 - 6*s. Let f(i) = 4*g(i) + 3*y(i). List the prime factors of f(12).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from aehehmhhqeahqh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537568741 to the power of 1\/4, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/15 and 91\/505098.\nAnswer: 2525490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 1\/9 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 k when three letters picked without replacement from kdnklndkdzznnzzkdlzh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v + 4. Let r(k) = 1. Let b(z) = p(z) - 5*r(z). Let j(y) = -5*y - 1. What is -5*b(q) + 4*j(q)?\nAnswer: 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -37*p + 782. Determine x(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let f(z) = 9*z**2 - 6*z. Let h(b) = -b. Let o(g) = -f(g) + 6*h(g). Calculate o(r(k)).\nAnswer: -81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110\/68943 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 193. Let i(n) = 2*n + 2. Calculate i(k) - l(k).\nAnswer: -3*k + 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -r, 0*n - n + 5*r = 23. What is the tens digit of 2\/3 - n\/((-36)\/(-976))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 19*n**2 - 11*n - 7. Give b(8).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20070, -19592, -19112, -18630, -18146?\n\"Answer: m**2 + 475*m - 20546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*t**2 + 231*t**2 - 470*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 5, 3, 140\/27, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**22)\/o)**(1\/68) assuming o is positive.\nAnswer: o**(23\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 - v**4 + 2*v**4)*(2 - 1 - 2)*(2*v - 1 + 1 + 2).\nAnswer: -2*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q + 29 - 205 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + k)*(2*k + 3 - 3) - 2*k + 2*k + k**2 + (-253 + 10*k + 253)*(0*k - 5*k + 3*k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20602, 82385, 185354, 329509, 514850?\n\"Answer: 20593*m**2 + 4*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**2 - 5*t - 5. Let o(w) = 2*w**2 - 2. What is -c(b) + 2*o(b)?\nAnswer: 15*b**2 + 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 48 = -3*r - 3*g, -4*g = r - 16. Solve -w - 3*w + r = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/c**22)**32 assuming c is positive.\nAnswer: c**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-338)\/(-52) + (-2 - 2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 6\/5 (b) 2\/5 (c) 0.1 (d) -347\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8857286 and -4.\nAnswer: -3.5429144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -2333?\nAnswer: -232d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:04 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5803, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q**2 + 17*q - 22. Let t(w) = -17*w**2 - 18*w + 24. Let n(i) = -6*s(i) - 5*t(i). Calculate n(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 3*y - 3. Suppose 0 = -3*v + 264 - 255. Let t(o) = 20*o**2 - 14*o - 14. Give v*t(k) - 14*n(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 216 + 2367?\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 30267*b - 11*b**2 + 27 - 7*b**2 - 2*b**4 + 14 - 30265*b in the form a*b**4 + v*b**2 + i*b + d + q*b**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - 4*n**4 + (0*n**3 + 0*n**3 + n**4)*(199 + 1 - 39).\nAnswer: 157*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144196 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2. Let k(q) be the second derivative of 55*q**3\/6 - 138*q + 2. Calculate k(r(b)).\nAnswer: -220*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**4\/4 - m**3\/3 + 28*m + 3. Let o = 48 - 48. Give j(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38247 and 9281272.\nAnswer: 27843816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 30 = 3*g. Let c be (-16)\/g - (-2)\/(-6). Let o = c + 22. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 120, 231, 342, 453?\n\"Answer: 111*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2077*v**2\/2 + 5416*v + 4417. Find the first derivative of o(y) wrt y.\nAnswer: 2077","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/25))\/(a**(-29)\/a))\/((a*a**(-1\/3))\/a)**(-11))**(-2\/5) assuming a is positive.\nAnswer: a**(-4094\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*k*r**4 + k*r + 123*r**5 + 1564 wrt r?\nAnswer: 1284*k*r**2 + 2460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 2*w**2 - 3*w + 3. Let g be f(3). Suppose -7 - 11 = -g*s. Suppose -s - 26 = -4*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 69*o - 28. Let n be f(-14). Let k = 1185 - n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) -4 (b) 0.4 (c) -2\/11 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2242072 and 9.\nAnswer: -20178648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3564990 (base 10) to base 2.\nAnswer: 1101100110010110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuokufifviooikuuk. Give prob of sequence vfkk.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65661 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1331 + -1335. Let w = -5 + 2. Sort u, w, -5, 0.5 in decreasing order.\nAnswer: 0.5, w, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 29*j**3 + 341*j**2\/4 + 113*j\/2.\nAnswer: j*(j + 1)*(j + 2)*(j + 113)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37 + (2 - (3 + -7) - 2). Suppose u - 34 - l = 0. Calculate the highest common divisor of u and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/12)\/(((-28)\/288)\/7). Calculate the greatest common divisor of 240 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6657*h**4 - 2*h**3 - 2*h + 4043.\nAnswer: 79884*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.54, 957, 0.054 in decreasing order.\nAnswer: 957, 0.54, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/((v\/(v*v**30))\/v) assuming v is positive.\nAnswer: v**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.65 + 42.65. What is the fourth smallest value in a, 2, -1, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 670*v**2 + 4108*v + 35240. Calculate n(-676).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 71, 21, -31?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -2bd7ca?\nAnswer: 2bd7cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90812 and 964100?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k - 1. Let s be q(-1). Suppose 16 = 6*r - s*r. Let o be (-5)\/20 + 10\/8. Solve -3 = -r*x + o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + o**2 + 21*o - 21*o + (-1 - 3 + 2)*(o**4 + o**2 - o**2) - 17*o**3 - 233*o**4 + 26*o**3 - 10*o**3.\nAnswer: -237*o**4 - o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564 - -1263. List the prime factors of g.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-4*(sqrt(245) - sqrt(5))).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen sixteenths of a hour?\nAnswer: 3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1439*u**2 + 967*u**2 + 460*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03359 + -0.033587946. What is a rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 333, 11 in descending order.\nAnswer: 333, 11, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12242, 2, -1, 33 in descending order.\nAnswer: 33, 2, -1, -12242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 154906 (base 10) to base 9\nAnswer: 255437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + h - 6*h + 30 = 0, -2*j + h = -6. Suppose -2 = k - j. Suppose -k*b = -0*b - 154. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0017 from 1912036.\nAnswer: 1912036.0017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*sqrt(405)\/(1*sqrt(9)) - -1*(sqrt(2880)*1)**2).\nAnswer: -18*sqrt(5) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-14)*-2)\/((44\/231)\/((-300)\/(-90)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (164 - 172) - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -24)\/(4260\/(-17040))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b, 0 = w + 2*b - 0*b - 610. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/((-1)\/5). Let g = -9 + z. Is (-77)\/g + 8\/(-32) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:51 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(147) + 1 + sqrt(18)\/sqrt(54) + 4)**2 + (sqrt(30) + sqrt(750) + -3*sqrt(750) + sqrt(750))\/(sqrt(10) - 1*sqrt(160)).\nAnswer: 104*sqrt(3) + 631\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 72*j = -69*j + 21, 0 = -4*f + 2*j + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 168 = -19*j. Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.2687 rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1869 + -15207\/8. Let q = f + 32. Let x be 0\/(0\/1 + -1). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 - 13*d**2 - 18*d + 31. Let q(x) = -44*x**3 + 116*x**2 + 159*x - 276. Let a(z) = 6*q(z) + 53*w(z). What is a(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 - 2925*z**2 - 70960*z + 2438460 = 0. Calculate z.\nAnswer: -558, -46, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 27 = 3*v + 2*k, 2*k = -v + 9. What is the remainder when 12 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10011 is divided by 237.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbaaaba. What is prob of picking 4 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - 0) + (0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2 - z - 3. Determine t(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-71 + 8 - 30)*(5 + 0*r - 2*r - 3) in the form g + v*r and give g.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.11 from 18.24056839.\nAnswer: 17.13056839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 2*m = -151 + 25 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25*1.2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/170912 and 65\/8?\nAnswer: 170912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -5*i**3 + 54 - 9\/4*i**2 - 9\/5*i**5 + 0*i - 1\/4*i**6 - 9\/2*i**4. Factor p(b).\nAnswer: -3*b*(b + 1)**3*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 7 (c) -0.5 (d) 10\/83 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w + 6. Let b(i) be the first derivative of 5*i**2\/2 + 24*i + 7. Let l be b(-6). Let n be q(l). What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -12. Let n be (q\/15)\/(18\/(-135)). Put -2, n, -7, 2 in decreasing order.\nAnswer: n, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b - 45. Let z be p(-4). Let j(o) = -21*o + 87. Is 12 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 42 = -38. Let t be 2\/o + (-87)\/15. Let c(h) = h**3 + 9*h**2 - 18. Does 14 divide c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16502*g + 197968. Determine d(-12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062148 (base 9) in base 13?\nAnswer: 1706c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 + 3*o**2 - 4*o + 5. Let x(d) = -3*d**3 - d**2 + 2*d - 2. Calculate -2*f(j) - 5*x(j).\nAnswer: j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 33 = -3*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 62. Solve 0 = -0*s - m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -49. What is the lowest common multiple of h and (-38 - (-25200)\/665) + (-3120)\/(-38)?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + r = 2*r + 28, -4 = -2*r. Let j(d) = 5*d**2 + 66*d + 320. Let q be j(-5). What is the highest common divisor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122837 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2621 or -0.13?\nAnswer: -2621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397 - (0\/(-2))\/4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -420, -426, -434, -444?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242.43 + -4.\nAnswer: -246.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -22\/1134249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022892078 rounded to seven dps?\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/8 + v**3\/2 + 146*v**2. Let y be (-42)\/8 + 2\/8. What is q(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 32. Let c be h(-12). Suppose n = 3*r + 2*n + 53, c*r = -n - 72. What is the remainder when r*(3 + -4)\/1 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 19.95. Do f and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 2*q - 30, -2*q = 3*g + 2*q - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 40. Suppose -18*n + 167 = 41. Let d be x(n). List the prime factors of ((-186)\/(-9))\/(d + (-10)\/6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721008 (base 12) in base 13?\nAnswer: 22c1ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - -10) + 18\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170575 and 35?\nAnswer: 1194025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 48*a**3 + 183*a**2 + 228*a = 0.\nAnswer: -19, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/7220 and -63\/4712?\nAnswer: 447640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 109*z**2 + 3*z + 7. Let r(x) = 321*x**2 + 8*x + 19. Give 11*p(o) - 4*r(o).\nAnswer: -85*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 303509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1005 - -43.5995. Let g = t + -41. Let b = g + -2.70000048. Round b to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 0, 3*c - u - 15 = 0. Suppose -4*k + 6 + 7 = -3*g, -46 = -3*k - c*g. Solve -4*i = -k*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.54861g to tonnes.\nAnswer: 0.00007954861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:14 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7166 - 107434\/15. Calculate the common denominator of 91\/40 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 14633?\nAnswer: 14623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 759, 2498, 5877, 11442, 19739?\nAnswer: 31314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r**2 - 15*r - 43. Let m be g(13). Let u = m + -1395. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2980.57 millennia?\nAnswer: 298057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15344 + -15?\nAnswer: 15325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 707, -3\/10, -12, -0.2?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q**2 + 4*q - 3*q - 9*q - 5*q as k + t*q + p*q**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 + b**2\/2 + 12*b. Let y(a) = -14*a**3 + 12. Give -12*f(j) + y(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*p - 17 = 0, -k + 5*k - 22 = p. Solve k*v - 116 = -22*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 2*w**5 + 0*w**5 + 1 - 3*w**5 - 1 + (0 - 2 - 1)*(26*w + 18*w - 10*w)*(7 + 5*w**4 - 7).\nAnswer: -511*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.77 bigger than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-1)\/(-10)*-2. Calculate the remainder when (m - (2 + -2))*-36 is divided by 1 + 1 - (-11 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 70, 39 in increasing order.\nAnswer: -5, -1, 39, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w + 290. Suppose 2*c - 2*r = -w, -4*c + 2*r - 108 = -0*r. What is the common denominator of (-2)\/((-30)\/c) - 4 and 3\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2. Let y(w) = -1032379*w. Give s(y(q)).\nAnswer: 3197419198923*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 3. Let k be w(1). Suppose 15 = k*v + 3*v. Suppose 0 = -h + 4 + v. Calculate the highest common divisor of 77 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*w - 180*w + 2 - 4.\nAnswer: -1016*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 1. Let m be 6\/((-72)\/60)*(-2)\/5. Let j(q) = q - 1. Suppose 1 = 4*s - s - 2*u, u + 2 = 0. Let v(f) = m*j(f) + s*d(f). Give v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207475 is divided by 14728?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:07 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 22 = 2*r. Let d = -6 - r. Calculate the highest common factor of 176 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 39. Does 13 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -149. Let p = 48.00000312 - x. What is p rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297018\/1160 + -256 - (-518)\/40?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-133)\/38*20\/(-14). Let n be (6\/j - 1) + (-2407)\/3735. Which is smaller: n or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.475 - -0.422. Let m = 11.7 - 11.803. Let l = a - m. What is l rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 40*g - 24. Let z(u) = -8*u + 5. Suppose -4*p + 91 = 14*i - 13*i, 52 = 3*p + 4*i. Give p*z(l) + 5*y(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 77*y - 164*y + 85*y.\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/7*3\/((-30)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -9 - (-20 + -3 + 17 + -2 + 70)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/5 + 3*y**4\/2 - 4*y**3 + 4*y**2 - 2*y + 353. Factor d(f).\nAnswer: -2*(f - 2)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 20*c + 95 = 0. Calculate the remainder when 56 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 4*p - 8. Let d be s(-8). Calculate the highest common factor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 48*n - 66*n)*(2 + 12 - 6)*(-1 + 1 - 2).\nAnswer: 1888*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001110111111001 (base 2) to base 11.\nAnswer: -95272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-357*b + 421*b + 1 - 4)*(0*b - 2*b + 4*b).\nAnswer: 128*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5843 - -6370. Calculate the remainder when g is divided by 263.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/732 and -115\/1098.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 - -3. Let z = 0.2 + w. Which is the biggest value? (a) -2\/11 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 9. Let t be j(3). Suppose -10*q + t = -6*q. Find the second derivative of 9*p**2 - 4*p**q + p - 9*p**2 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2874?\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (17 - 8) + -62 + 31?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19466 - -155997\/8. Let m = -34 + s. What is the biggest value in m, -1, -3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15524263 and -4.\nAnswer: -62097052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19847657?\nAnswer: 31, 640247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7402 - 9*v**3 - 7402 + 55*v - 55*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-15)\/((-210)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572820133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/20)\/(5 + 135\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5.4, -3285.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -5*r**7\/42 - 5*r**4\/8 + 4*r**2. Find the second derivative of b(w) wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*a - 1, a - 3*c - 19 = -0. What is the biggest value in -129, a, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*u - 4 = 0, 59*a - 64*a + 2*u - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6285 - 6284.187. Which is greater: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 6 (b) 4\/27 (c) 2\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2473254977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -36901.\nAnswer: -4\/36901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1719 and 39728?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383 plus 165645884?\nAnswer: 165647267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 3*m**2 + 12*m + 11. Give q(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1 + 1)\/(4\/(-1)))\/2. Solve v + 1 = -t*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -360751651?\nAnswer: 360751646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/735 and 83\/132?\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 87*b**2\/2 + 396*b - 1080.\nAnswer: 3*(b - 12)**2*(b - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 5*z = 7*x + 2, -4*x + 2*z = 44 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43020950 and 0.115.\nAnswer: 43020950.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 - 501435*s + 120171600 = 0. What is s?\nAnswer: 240, 166905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:11 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2a1 (base 11) to base 12\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -60, 5, -5 in ascending order.\nAnswer: -60, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 13 = 15*x. What is the closest to -1\/4 in x, 98, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -8. Let n = 1\/23 - -20\/69. Which is the smallest value? (a) n (b) -9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.586329ms to hours.\nAnswer: 0.0000059962025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*-152*(-205)\/62320\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4464237 is divided by 2231933?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1548 by 3.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 5*m - 5*m + (0*m - 3*m + 2*m)*(-6*m + 3*m + 4*m) - 6 + 3 + 2 - m**2 - 2*m + 2*m - 2*m**2 to o*m + w*m**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2296\/(-1680) - (-4)\/(-30))*-2. Solve -o*n = -6, -b - 10 = -3*n - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 438*p + 6*p**2 + 2*p**2 + 0*p**2.\nAnswer: p**2 - 438*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398785 is divided by 279756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016742113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -112011100122 (base 3) to base 4\nAnswer: -1010003102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832302?\nAnswer: 2, 11, 17, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -17, -16, -15, -14?\n\"Answer: b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*d**2*s*y**2 - d**2*s*y + 9*d**2*w*y + d**2*y**2 - 6*d*s*y + 21724*s*w*y**2 - 13*s - 3*y**2 wrt w.\nAnswer: 9*d**2*y + 21724*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*c - 3*z, -6*c - 5*z - 12 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3677 - -983?\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1276*g**5 - 7*g**4 - 4936*g**2 + 2*g + 3?\nAnswer: 76560*g**2 - 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 39*n = -8. What is the lowest common multiple of 10 and 61 + (-63)\/(n + -5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9827, 0, -795 in descending order.\nAnswer: 9827, 0, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/3, 3, 1\/24, 0.4, 2\/15 in ascending order.\nAnswer: 1\/24, 2\/15, 1\/4, 0.4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28767.\nAnswer: 3, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 27010 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 5)*(3*p**2 + 0*p**2 - 4*p**2) + 5*p**2 - 4*p**2 - 2*p**2 - 8*p**2 - 7 + 7)*(-4 + 1 - 1)*(2*p - 5*p + p).\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from nmmxmmxjujux?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046469847 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + 0.07. Let i = 0.086 - -0.084. Let r = i - -4.83. What is the second biggest value in -0.5, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*h - 8, 20 = -5*n - 5*h - 5. Let k = 8 + n. Suppose k*u + 32 = 3*m, -4*u + 2*m - 4*m - 8 = 0. Which is the biggest value? (a) u (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f - 2*f + 6*f)*(-3 + 6 - 1).\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**0*u)*(u*u**(1\/3))\/u*u)\/((u*u**(-2\/5))\/((u**(-2\/5)*u)\/u)) assuming u is positive.\nAnswer: u**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 2*b - 4. Let y be z(2). Find the first derivative of -7*x**4 - 1 + 0 - 4 - 3*x**y wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 9:02 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/4, 2\/9, 22.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (105 + -45) - (0 + -22)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -0.069 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 20 - 35)*(76*v**2 + 23*v**3 - 76*v**2).\nAnswer: -1633*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10*2\/4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-3 - (-22 + 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*1 + 2464\/(4\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 + 8 = 0. Suppose 25 = 5*j + 3*o + 2*o, -2*o = -2. Let l = j + n. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = 5*f, -2 = 30*f - 13*f - 15*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2775925237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -556 (base 9) to base 3\nAnswer: -121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*(-8)\/32*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1315\/9 or 3501?\nAnswer: 3501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65490, -52820, -40150, -27480, -14810, -2140?\n\"Answer: 12670*q - 78160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*u + 3*t, 77*u + 5*t - 29 = 80*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Let l = 3.6 + -3.9. What is the nearest to l in r, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + n**5 + 4*n**5 + (-6*n**4 + 3*n**4 + 2*n**4)*(3 - n - 3) - n**2 + n**5 + n**2.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 - 1108366?\nAnswer: -1108439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172054030 by 31.\nAnswer: -5550130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**3 - 543273*o**2 + 6920199*o wrt o.\nAnswer: 24*o - 1086546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399.828 microseconds in seconds?\nAnswer: 0.008399828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2. Let a(h) = -11*h**2 + 13*h - 2. Give a(y(z)).\nAnswer: -99*z**4 + 39*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 4 = 31*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -263, -250, -237, -224, -211, -198?\n\"Answer: 13*m - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4865 + -4363. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0917 + 67.9917. Let x = t + -76. Let q = x + 8. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 + 106 + y**2 - 106. Let o(c) = c**3 - 4*c**2. What is -3*j(t) + 2*o(t)?\nAnswer: 2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -72, l = -1118027*m + 1118024*m + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2675 and 1070.\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 9*z = -3*n + 87, -18*z = -17*z + 7*n - 190 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17295, -17228, -17099, -16896, -16607, -16220, -15723?\n\"Answer: 2*i**3 + 19*i**2 - 4*i - 17312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/4 - 2) + (-42)\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, 16944, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-126) + 2 + -3 + 0.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6222 and -25\/43534297?\nAnswer: 261205782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.93 - 0.20884?\nAnswer: -8.13884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 156 = -3*u, -5*b + 8*b + 246 = 5*u. What is the remainder when 3212 is divided by u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 67084.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)\/q**(-5)*q**(-10)\/(q*q**12*q) assuming q is positive.\nAnswer: q**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16652, 67169, 151548, 269789, 421892, 607857?\nAnswer: 827684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1561810 - 5752066 - 7862769 = -225*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.85, -2, 0.1, 1062\/23 in decreasing order.\nAnswer: 1062\/23, 18, 0.85, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/6 + (-7 - (-1 - 4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/82 and -57\/10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/(a\/(a*a**2)*a*a*a)*(a*a\/(a**(-1\/2)*a)*a)**(8\/13))**(-1\/9))**(-36) assuming a is positive.\nAnswer: a**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 881, -3, -5, 1 in descending order.\nAnswer: 881, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*c - 291*c + 92*c + 37442 = -59*c for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -6. Let s = 16 - 23. Let d = s + 4. Put d, 5, t in decreasing order.\nAnswer: 5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 8*a**2 - 22*a + 22. Let h be r(10). Suppose -2*q + 6*q - d - 272 = 0, h*q - 136 = -d. Does 32 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - (-192)\/(-20))*(-10)\/(-4). Let i(m) = 38*m**3 + 3*m**2 - 7*m + 5. Is i(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 5*q + 6. Let i be t(4). Let a(h) be the first derivative of -h**2\/2 + 35*h + 8. Calculate the remainder when 50 is divided by a(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-350)\/11431 - (-4)\/46. Let u = y - -43\/497. What is the nearest to -3 in 2, u, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 5*y**2 - 7*y**2 in the form n*y**2 + v + o*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 - 42 - 170*p**2 - 451*p**2)*(0*p - p**2 + 0*p) in the form w + s*p + q*p**2 + m*p**3 + h*p**4 and give h.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u + 83*u**4 - u - 68*u**4 wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 13*h**2 - 198*h - 11. Determine m(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 14, c: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639669559 to the nearest integer?\nAnswer: 25292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4603.67*-3.\nAnswer: -13811.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 7. Calculate the remainder when 13 is divided by a(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 35*g - 36*g + 9, -8*c = -4*g + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 149*k - 15046. Determine r(101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-21) + (-16)\/28. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:00 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/5*(0 - 5). Let o = -21 + i. Let y = o - -942\/5. Which is the smallest value? (a) y (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2382 + -2341. Which is the closest to -2? (a) 5 (b) g (c) -3\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612056 (base 8) to base 2\nAnswer: -11110001010000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3074?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31260 - -31358. Solve -21*i + 140 = j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3\/4 + 180795*q**2\/4 + 4795533*q\/2 - 7600068 = 0. Calculate q.\nAnswer: -56, 3, 60318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a**2 + 95*a - 7. Let d(r) = -7*r**2 - 48*r + 4. What is -7*d(b) - 4*o(b)?\nAnswer: b**2 - 44*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 254a173 + 4?\nAnswer: 254a177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 34. Is 36 a factor of a(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*s - 24*s. Which is the smallest value? (a) s (b) -4\/19 (c) 1\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - -62)*(-3 + -3 + 7) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = -4. Suppose 0 = -z + t - 2, 3*z + 0*z = t + c. What is the greatest common divisor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**8\/20160 + o**7\/1008 + o**6\/720 + o**5\/20 - 2*o**2. Let f(y) be the third derivative of x(y). Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-90))\/(2\/(-24)). What is the closest to 1 in w, -0.3, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508185\/26 or 19547?\nAnswer: 508185\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -113*t - 782. Let z be r(-7). Suppose 12 = -2*v - 2. Let k = 17 + v. Do k and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6794*d + 20377*d + 388*d**3 - 6788*d - 6793*d + 62*d**3 as u + t*d**2 + f*d**3 + q*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 16. Let z be t(-45). What is z rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -14 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7447 or 33?\nAnswer: -1.7447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 10 - -46 - 2) + -6\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*y**3 - 2 + 25*y**3 + 49*y**3 + 2*y + 3*y - 8*y wrt y.\nAnswer: 354*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r - 2. Let d be j(-3). Suppose -3*y = -d*y. Which is the second biggest value? (a) y (b) 1\/6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*w - 7808 = 0, -6049 = -4*s - 2*w + 4343. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(-5 + 5)\/(-5) - 36.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 = v - 10, -2*v + 64 = 4*n. Suppose -16*d = -v*d + 420. Calculate the greatest common factor of 28 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 + 4*p. Suppose -v + 4*v = 9. What is r(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + -5 - (3 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 123 = 331. Let u(m) = m - 6. Let h be u(d). Solve 0*a + h*a = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 1. Let v be (5 - 5) + n\/(-1). Let p = -7 + v. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 2*n. Let y = -1 + 0.6. Let j be 4\/12 - (-3)\/(-15). Which is the nearest to j? (a) 4 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.0636974 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**2 - g - 1063 + 1098 + g**3 - 11*g - 2*g. Determine l(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, -2, 600\/7, 4, -0.5 in ascending order.\nAnswer: -5, -2, -0.5, 0.07, 4, 600\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + 2.9. Let q = -0.2 + m. Let n = q - -1.01. What is n rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.243 and -8374315.68.\nAnswer: -8374315.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123\/205)\/((-351)\/(-270)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/(o*o**11)*o\/(o*o**(-7\/8)\/o)*o*o**1*o)**(35\/4) assuming o is positive.\nAnswer: o**(-1435\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226375 (base 8) to base 7.\nAnswer: -440434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 - -4. Let l(f) = -f**2 - f + 5. Suppose 3*g = 4*g - 2*g. Let y be l(g). What is the closest to 1 in z, y, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*o, 12*o = -i + 13*o. Solve -5*c + j - i = 12, 4*j + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1072732*k**3*w - 2*k**2*w + 203*k**2 - 43*w wrt k.\nAnswer: 6436392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1041085 + 8.8958425. Let o = -10.8 + 1.8. Let s = o + g. What is s rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and -91\/20266.\nAnswer: 81064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/210 and -91\/72?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 82804, -0.5, -5, 0.4?\nAnswer: 82804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 8*h - 1 = -3*w, -2*w = -5*h - 29. Let i = 10\/3 - 124\/39. Let s = -0.9 - 0.1. Which is the third smallest value? (a) s (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 36 + 15*t**3 - 38 - t**2 + (t + 4*t - 4*t)*(1 - 4 + 0)*(-2*t - 8*t**2 + 2*t).\nAnswer: 35*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 4 (c) 1\/35 (d) 1 (e) -198 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffzp when four letters picked without replacement from {f: 2, p: 5, z: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19.4. Which is the nearest to 2\/3? (a) 0.3 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -4 + sqrt(147)*-2)*-5.\nAnswer: 20 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*n + 188 = 0, -4*a = -a - 2*n - 282. Put a, 5, -3 in descending order.\nAnswer: a, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355959 is divided by 1740.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -501, -750, -997, -1242?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64795752107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3904816, -7809618, -11714420, -15619228, -19524048, -23428886, -27333748?\n\"Answer: -v**3 + 6*v**2 - 3904813*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2977 divided by -2\nAnswer: -2977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3248*r**4 - 16216*r**2 - 444572937?\nAnswer: -12992*r**3 - 32432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/(-2))\/((-14)\/28). What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901500269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*b**3*d**3*u - b**3*d*u + b*d**3*u + 6*b*d**2 + 8*d**2 + u wrt d?\nAnswer: -162*b**3*u + 6*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**6\/72 + 7*t**5\/24 - 5*t**4\/4 + 83*t**3\/3 - 125*t. Let l(j) be the second derivative of w(j). Factor l(i).\nAnswer: -5*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4883\/10 + 497. What is the common denominator of b and -31\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 9*g**2 - 2*g + 2. Let v(y) = -12*y**3 - 46*y**2 - 11*y + 11. Give 11*j(w) - 2*v(w).\nAnswer: -9*w**3 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -72. Let m = -18 - y. Sort m, -4, -5.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1992 + -1387. Let s be 16\/(5 - 1) + -4. Suppose 5*x + s*x - u = 2*g, -605 = -5*x - 4*g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367630417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 0 - 15*b**3 - 20*b**3 + 15 + 5*b**3.\nAnswer: -30*b**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15446 divided by 2\nAnswer: 7723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + 86. Suppose -86*z = -87*z. Suppose 5*d - t - 12 = z. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24906 rounded to the nearest one hundred?\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3 - 20240*g**2 + 838245*g = 0?\nAnswer: -4089, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -6 + (-8 - (-11 - 4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(242) - sqrt(242)*-2) - 2*sqrt(242)*-1)**2 + ((-3 + (-1 + sqrt(242))*-1)*2)**2.\nAnswer: 176*sqrt(2) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/30)\/(2\/(-5)). Suppose 0 = -5*g - c + 741, -j*c - 85 = 3*g - 520. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 1)*(40 + 49 - 81)*(-4*t + 0*t + 0*t).\nAnswer: 192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 2*w)*(4*w - 5*w - w) + (64*w + 100*w + 50*w)*(2*w + 2 - 2) + (3*w + 5 - 5)*(-2 + w + 2).\nAnswer: 427*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99\/184 - -21\/23. Is -1\/4 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4 - 11. Suppose -2*k - l*x = 1, 0 = -5*k - 4*x + x + 45. Let m be (-6)\/(-21) - k\/(-7). What is the greatest common factor of m and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (8 - (68 - 96))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1383 - -1693. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12467, 24196, 35187, 45440, 54955, 63732?\nAnswer: 71771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*m + 3*i**2*k**3*m - 72*i**2*k**2*m + 3*i*k**3 + 4*k*m - 54*k wrt i?\nAnswer: -6*i*m + 6*k**3*m - 144*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890 divided by 2800?\nAnswer: -27\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41781 and 762?\nAnswer: 10612374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1177.9453 - 0.0547. Let b = -1169.91 - s. Let z = -8 + b. Does z = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334950 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = 19, -5*v - 1603 = -3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -5. Let v(u) = -u + 8. Let l be v(c). Let w be ((-3)\/l)\/(2\/(-4)). Solve 3*b + a = 4*b - 2, 0 = -w*b + 2*a + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 y when four letters picked without replacement from ygaiyyyaaiiygsaaiii.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 11. Let h(k) = 2*k - 10. Let b(z) = 5*h(z) - 4*y(z). Calculate the remainder when b(4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 24\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, 0.069, 3\/2, -2\/3, -0.17, 1920?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 49812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(4\/(-150)) + 0\/15. Let m = -11 - k. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + 2\/6. Let g = 0.0092 + -0.0092. What is the nearest to 0 in u, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 4*d**2 - 2*d. Give o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4257*j + 2694740. Calculate v(-633).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1)\/h))**15*(h\/h**2)\/h**2)\/(((h*(h\/(h\/(h*h\/h**(-4))))\/h)\/h**(-5\/4))\/((h**7\/h)\/((h*h\/h**(5\/3))\/h))) assuming h is positive.\nAnswer: h**(497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/7488 and -17\/128.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1694907.\nAnswer: 338981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + 3*i. Let j(k) = 5 + 0*k**3 - 10*k - 4*k**3 + 8*k**2 + 3*k**i + 3*k. What is the tens digit of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3 - (-26 - -31) - (-1 + 7). Let j(z) = -3*z**2 - 7*z. Let n(d) = -4*d**2 - 10*d. What is h*n(y) + 7*j(y)?\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9462 - -9462. Let b(r) = r**3 + 4*r**2 - r + 13. Calculate b(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/30? (a) 2\/13 (b) -0.039 (c) -11 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -r - 3*q + 33 = 0, -4*q = -d*r - 0*q + 138. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 22*l - 1. Let s be ((-1)\/3)\/(4\/(-12)). Let a be i(s). Let n = 48 - a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4406294*n. Let a(f) = -24*f - 1. Calculate o(a(p)).\nAnswer: 105751056*p + 4406294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121 (base 3) to base 4.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 1932*s\/5 - 466578\/5.\nAnswer: -2*(s + 483)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2 + 3\/1). Suppose -4*k - 7 + 27 = v. Suppose -k*t + 3 = 13. Which is the closest to 0.3? (a) -0.2 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180163 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbvlllvpllhtbbpvbhv. What is prob of picking 1 p, 1 l, and 1 b?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/10)\/((-4)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 18 = 8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and -0.33487.\nAnswer: -9.37636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5 = -4*q, 3*q - 65 = 5*d - 73 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 112 (b) -2 (c) 1 (d) -0.1 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96293 divided by 147.\nAnswer: 96293\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.7 + -27.913. Let q = 0.21300133 + f. What is q rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16 + 49 = 0. Suppose 15 = -l - 2. Let h = l + u. Let z(a) = 5*a**2 - 6*a + 1. Let r(c) = -11*c**2 + 13*c - 2. Give h*r(t) - 13*z(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60\/3*(21\/(-105))\/(1\/(-10))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.024, -13998, 15\/8, -4, -0.4 in increasing order.\nAnswer: -13998, -4, -0.4, -0.024, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 803368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/240 - 7*n**4\/32 - 5*n**3\/6 + 30*n**2 + 52*n - 2. Let q(k) be the first derivative of h(k). What is g in q(g) = 0?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 215953727?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2130242.\nAnswer: 2, 19, 61, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1169 divided by 407\nAnswer: -1169\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x. Let t(m) be the first derivative of m**4\/6 + 4*m**2 + 4. Let n(r) be the second derivative of t(r). Calculate n(b(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 - -1) + (-300)\/119)\/7. Let k = w - -3\/17. Calculate the common denominator of k and 81\/56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 26. What is the remainder when -414*(4\/3)\/s is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 566*v**2. Let r(p) = -10*p**2. Calculate r(t(u)).\nAnswer: -3203560*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 + 3*x + 2. Let r be 1 + -3 + 2 + -3. Let f be b(r). Let o(g) = 2*g**2 + g - 1. What is the units digit of o(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 4. Let y be v(-1). Let h = 6\/35 - 19\/70. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**0)\/x)**21*x**16\/x*x**19\/x assuming x is positive.\nAnswer: x**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.94 + -0.06. Let s = -19.1 - a. What is the biggest value in -0.4, -8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/83454 and -157\/14136?\nAnswer: 196617624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 9*m - 16. Let j be o(6). Let z(r) = 29*r - 61*r + 37*r - 135*r**j + 30. Let k be z(-14). What is k rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/31535 and 67\/10292282.\nAnswer: 874843970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4852 (base 9) to base 6.\nAnswer: 24415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 - ((-13 - -13) + -558). Let s = g + -558. Let f(w) = -w + 2. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405972413?\nAnswer: 7, 11, 5272369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/14 - 4*o**3\/3 + 9*o. What is the second derivative of m(f) wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -172214*k - 201. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 31, 84, 179, 328, 543?\n\"Answer: 2*q**3 + 3*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28\/5 (b) 4 (c) -1\/6 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380.99839 - 381. Round q to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -256 - -256. Suppose -18*c - 6*c + 72 = m. Solve 5*x + 11 = d, 2 = -2*x + d - c*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 3*y**2 + 56 + 4*y**2 - 54 + 3*y**2.\nAnswer: 10*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9843*d + 9838*d + 27 = -3*l, -2*l - 4*d + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395 + 706 - 311 - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3712379711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 56 + (28 - 40).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1010 + -713. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46304 (base 7) to base 15\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -70. Solve -4*v + 6*v + m = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*u = -402 - 356 + 5180 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111202210 - -2001?\nAnswer: -1111200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 127. Suppose 28610 = 10*j - 5*j - 5*h, 2*j + h - 11447 = y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/9*(3 + -6). Let b(m) = 4*m**3 - 5*m**2 - 2*m. Let n(x) = -6*x**3 + 7*x**2 + 3*x. Determine w*n(g) + 7*b(g).\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**8*s)\/(s\/((s**(-1\/7)*s)\/s)) assuming s is positive.\nAnswer: s**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s + 3. Let t(l) = -4*l. Let v be t(-4). Suppose 0 = -3*n - 1 + v. Suppose -2*g + g - 2 = -n*q, 2*g = 3*q - 4. Calculate d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27.568 at most as big as 0.009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 15, 103, 295, 627?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, n: 3, x: 3, z: 1, v: 2, k: 3}. Give prob of sequence vtzv.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5992206 and 6127?\nAnswer: 5992206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:41 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7317 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/9)*(o**1\/o*o)\/o)**(-2\/29)\/((o**(2\/7)\/o)\/(o*o\/(((o\/o**(-6))\/o*o)\/o*o)*o*o)*(o*o**(-1\/2))**16) assuming o is positive.\nAnswer: o**(-19030\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 3. Let m = 375\/4 + -92. Put a, m, 0.2 in descending order.\nAnswer: m, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -242 + -2?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 - 60 = 45*l. Solve -2*m + b - 5 = 7, m - l*b = -11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -95. Let p be ((-3)\/(-9))\/((-5)\/(-60)). Suppose -p*y = -v + 17, 0*v - 7 = -v - y. Solve m = -5*j + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5267*u**3*v - 1244*u**3 + 13002*u**2*v - 47111*u wrt v.\nAnswer: -5267*u**3 + 13002*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44536591*s**3 - 24240644*s**2?\nAnswer: 267219546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 889*d - 2 - 892*d + 2. Let s(y) = -22*y. Determine g(s(m)).\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734349066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 450 + -2707\/6. Let c(m) = -3*m**2 - 5*m + 61. Let d be c(-13). Let f = d + 380. Which is bigger: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327160765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 39977300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 3, c: 2, v: 1}. What is prob of sequence cs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2. Let u(f) = -f - 3175 + 3175. Calculate -m(j) + 2*u(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 0 + -3 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -341, -795, -1447, -2303, -3369, -4651?\n\"Answer: -y**3 - 90*y**2 + 15*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042259 is divided by 23161?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -126.6157?\nAnswer: -37.98471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d**2. Let a be v(-5). Suppose a = 4*l + 4*w - 28, -2*w + 6*w = -2*l + 22. Suppose -154*z + 156*z = 34. Solve z - 5 = -l*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 189, 263, 373, 525, 725, 979, 1293?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 267*t - 1268. Calculate g(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 430\/(-30) + (-1)\/(-3). Let b be (1\/(t\/(-35)))\/(2\/12). Let u = b + 49. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 13*x + 0*x + 8*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9*w + 22. Let u be q(11). Let c be (-6)\/(-21) - 38\/(-14). Solve u = 6*h - c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 34, 4, 2, 5 in ascending order.\nAnswer: -5, 0, 2, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -3, 32, 1, 28, 5 in increasing order.\nAnswer: -64, -3, 1, 5, 28, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1741, 1739, 1743, 1759, 1793, 1851, 1939, 2063?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*i = 5*m - 25, 4*m = 2*i + 18. Find f such that 3*f - f**3 - 4*f + 0*f**m - 3*f**2 - f = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 41 + 184 = -2*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 816966956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342131 - 20?\nAnswer: -342201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 594 - 44?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -35, -36, -37?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 188959 divided by -2?\nAnswer: -188959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 122330 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: Calculate the smallest common multiple of 37491 and 15333819.\nAnswer: 15333819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*j - 2. What is the closest to -1 in j, 2\/15, 2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 1.6. Let s = -1 - f. Is s less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h + 23*h + 5*h)*(-2 - 3 + 4)*(-h + h - 2*h**2).\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 2*t**3 + t**3)*(6*t + 0*t + 2*t) + (t**3 + t**3 + 0*t**3)*(0 + 0 + t) + t**4 + 0*t**4 + t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -30. Let f be -7 - (h - 1) - -12. Let y(q) = -f*q - q**3 + 4*q + 4*q - 6*q**2 + 0*q. Give y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 2*g**2 - 8*g + 18. Give c(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21606, 172919, 583632, 1383447, 2702066, 4669191, 7414524, 11067767?\n\"Answer: 21617*a**3 - 2*a**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 8 + (-70)\/14. Solve 5*h - 6 = 3*h + r, -x*h - 5*r = 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1573668\/35 + -44959. Let d = 22\/7 - w. Which is the nearest to -1? (a) d (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 1. Let m = 48 + -42. What is the least common multiple of s(-1) and 3\/m*(8 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88644476 a multiple of 3703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgfadrrlraarrarr. What is prob of sequence gr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -315, -115, 171, 585, 1169, 1965?\n\"Answer: 7*c**3 + c**2 + 148*c - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.06 (b) -0.1 (c) 6458\/473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74320 (base 8) in base 3?\nAnswer: 1120102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptl when three letters picked without replacement from ltppp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(6)\/(sqrt(48)*1).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 3*d + 3. Let j(g) = -g - 1. Let z(f) = -3*j(f) - w(f). Let i be ((-8)\/(-10))\/(6\/15). Let k(a) = -4*a + i*a + 5*a - a. Determine z(k(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (4 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7782 + 902 + 7730 - 3137 - 64)*(-19 + 19 + 7*c**3) to the form q*c**2 + f*c**3 + l*c + d and give f.\nAnswer: 92491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3009 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8847095.8 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 10. Let h be s(10). Suppose h = r - 5, -2*r = -5*v + 355 + 165. Suppose -5*j = -q + v, 3*q + 2*j = -83 + 452. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*h + 40 = 0, -2*l - 2*l - 36 = -2*h. Let a be l*(0 + (-135)\/12). What is the units digit of a\/2 - 2\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-18))\/((-1)\/9). Let k = i + 10. Suppose 0*z + 195 = 5*z. What is the highest common divisor of z and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229823 and 3179.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22273 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7562443nm to meters.\nAnswer: 0.0000000007562443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 27*j**2 + 9*j**2 - 295 + 146.\nAnswer: 36*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(33\/15 - 3). Suppose 7 - 71 = -o*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 12*c**2 - 14*c - 9. Suppose -6 = h + 5. Let g be x(h). Solve 3*r = 5*i - 29, -r - g = -3*i + 3*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -55901, -111854, -167807, -223760, -279713?\n\"Answer: -55953*d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 96221*-6.3\nAnswer: -606192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 171*w + 2. Let q be a(3). Let f = 1422 - q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 127 = -3*k, -6*k + 2*k + 2*a + 140 = 0. Suppose -k*j + 26*j = -3927. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100267217 to the power of 1\/2, to the nearest integer?\nAnswer: 10013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99303961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 21 = -10*x. Sort x, -7, -1 in increasing order.\nAnswer: -7, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12480713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, s: 1, k: 6, m: 3}. Give prob of picking 1 j, 1 k, and 2 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/637 and 67\/56056.\nAnswer: 56056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(69 - c + 64 - 121)*(68 - 68 - 12*c)*(-2*c**3 + 0*c**3 + 4*c**3).\nAnswer: -48*c**5 + 576*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 + 20*j**2 - 51*j - 4?\nAnswer: 12*j + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 12 - 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 530*t + 2646. What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 - h**4\/12 - h**3\/3 - 52*h. What is l in n(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 19. Suppose -i*d - 10 = -q + 17, 4*q - 134 = -d. What is the third derivative of -1 + 1 - 45*r**2 + q*r**2 + 22*r**3 wrt r?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3254175\/7 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 7*x + 4. Let t be l(13). Let r = t + 249. Solve 0 = -2*u - 6, r*q - 2*u = 4*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33998 divided by 5578?\nAnswer: -16999\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4)\/(1 - 0). Suppose -c - 2*o + 16 = f, -5*o + 6*o = c - 7. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7838, -62474, -210702, -499322, -975134, -1684938, -2675534, -3993722?\nAnswer: -5686302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/8)\/(l*l\/l**4))\/(l**(2\/7))**24*((l*l**(-3\/5)*l)\/l**5)\/((l\/l**6*l)\/(l**(-2\/11)\/l)) assuming l is positive.\nAnswer: l**(-16983\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 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: Is 109609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/18 and -55\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 499 = -3*x, 3*x - x = 6. Let c = -124 + u. Solve c = -2*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n - 3. Let f(o) = o - 1. Let z(d) = 3*f(d) - h(d). Give z(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*p + 745 = -133*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69887?\nAnswer: 17, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 16*a - 90. Solve g - 16 = -4*u, -3*u - 2*g = 3*g + a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((210\/4)\/(-7))\/((-99)\/11)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -9*b**2\/2 + 2*b - 4. Let a be v(-2). What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058348 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*k + 50, -4*k + 3*k = 2*m + 10. Let j be (-6502)\/k + -2 + 4\/(-20). Suppose 0 = -5*h - j + 3803. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Let r = -148.5 - 12.5. Let n = -157 - r. Sort -0.8, n, i in decreasing order.\nAnswer: i, n, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 26*q - 47. Let r be m(-9). Which is smaller: r or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -55174*d - 386243. Give q(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*f - 856*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.22 + -951.22. Let q = -938.31 - z. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*1\/(30\/(-25))*(-5144)\/(-9645).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*5 - sqrt(119))*-6)\/(3*sqrt(7)*-2*1).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9107.1 + 9107. Let x = -0.26 - 0.07. Let v = 0.03 + x. Sort v, 0, t, -1\/5.\nAnswer: v, -1\/5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 9*i**2 - 11*i + 13. Let b(g) = -22*g - 34. Let n be b(-2). What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) 1 (b) -2\/5 (c) -16 (d) 2\/5 (e) 308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11218773 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 40 - 11 - 3 - 2*f. Let l be t(12). Suppose 7*a = l*a + 20. What is the greatest common divisor of a and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 166*p**2 + 161*p - 252. Determine c(-82).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47209\/52 - 908. Let g(y) = -8*y + 520. Let l be g(65). Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000593514 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + p - 1. Let y be -1*((-12)\/(-4) + 2). Let t(w) = 7*w**2 + w - 2. What is y*n(b) + 3*t(b)?\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 6*w**2 + 8*w. Let d be v(6). Calculate the greatest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*z + 230*z - 182*z to the form f*z + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:06 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -0.1 (c) -2\/3 (d) -2 (e) -0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*h = -40, 0 = -s - 0*h + 3*h + 18. Solve 5*q = j + 12, 0 = -s*j + q + 5 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = -44*w + 5826665. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 841 - 3539. Let r be d\/(-190) - (-8)\/10. Solve r*z - 4 = 16*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -51*o + 1. Suppose 2*l - r = 4*l + 11, 0 = l + r + 8. Let b be c(l). Let w = 23 - 9. Calculate the greatest common divisor of b and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-660)\/84 + 9)\/(2\/3*-3). Which is the third smallest value? (a) x (b) 9.3 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26847 to 3 decimal places.\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**12\/u))\/((u**(-9\/4)*u)\/u*u))\/(u*(u\/((u*u\/u**(-3)*u)\/u))\/u)**(8\/13) assuming u is positive.\nAnswer: u**(-327\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = -17. Let r(o) = o**2 - 5*o. Let v be r(3). Let u = v - -11. Calculate the highest common factor of g and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.0337 - -2521698.\nAnswer: 2521702.0337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-476)*(36\/180)\/(8\/(-20))\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 - 3 = k, 0 = 4*k - y - 26. Let m be -2 - (k\/2 + -1). What is the second biggest value in 0.1, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24745 + 24736. Put 4, w, 1, -2, -10 in ascending order.\nAnswer: -10, w, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 437, 638, 819, 974, 1097, 1182?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (89\/47 + -2)*(-267)\/445. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f8fe7 (base 16) to base 2\nAnswer: -11111000111111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x - 7. What is the least common multiple of (2 - -3) + ((-70)\/15 - -4)*-6 and m(7)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042630153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77939177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m**2 + 516*m + 532. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17138 - 1?\nAnswer: 17137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.1. Let l = 0.03 + -0.23. Sort 4, n, l in ascending order.\nAnswer: n, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = -2*g, 0 = -2*g - 2*g + 20. Let p(j) = j**3. Let l(o) be the second derivative of o**5\/20 + o**4\/12 - 5*o. Calculate q*p(u) + 2*l(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3993600 to the nearest 10000.\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let r(h) be the first derivative of 0*h + 1 - 5\/3*h**3 + 0*h**2. Calculate w(r(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/7 (b) 1 (c) -1\/57925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u)*(-1 + 0 - 4)*(78 + 14*u - 78).\nAnswer: 70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 661.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -44*r - 67. Let b be g(-5). Let z = 155 - b. Factor -4\/5*l**z - 2\/5 + l + 1\/5*l**3.\nAnswer: (l - 2)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70477 and 3164909.\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 6. Let b be t(-7). Suppose -5*w + 2 = -4*o, -2*o = -0*w + 2*w - b. Suppose 1 = x - w. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n - 3. Let p be v(5). Let r = 16 - p. Let l = r + -30. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1027 and -562831162865?\nAnswer: 562831163892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c = 0, 4*j + 4*c + 2 - 6 = 0. Suppose 0 = -3*b + 6, -l + b - j = -0*b. Solve l = 3*y + y - 2*d + 12, 4*y + 36 = -4*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -267 - 23*d + 284 + 8*d. Let c(n) = 31*n - 33. Let j(b) = 2*c(b) + 5*y(b). Differentiate j(m) wrt m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 804 - 19?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (476\/(-2380))\/((-14)\/(-50))*(-12)\/(-10)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + v - 14, -325*g + 327*g - 32*v + 34*v - 28 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*d + 965*d + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 8:25 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*k, x + 0 - 8 = 3*k. Find the common denominator of -29\/5 and k - (178\/(-12) + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 4 + -124 + 137 - (1 + 22) - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -32856*d + 16495*d - 12 + 16529*d as m + w*d and give w.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5141*n**2 + 583*n - 583. Let y(m) = -53*m**2 - 6*m + 6. Let f(p) = 6*d(p) + 583*y(p). Let h(t) = -t**2. Give f(h(o)).\nAnswer: -53*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -25. Let n be 16\/m + (7 - 8). Solve -5*q = 3*z + 17, -5*q - n = -3*z + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -7.\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6254712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 14. Let w(v) = v - 5. Suppose 78*l - 81*l = 15, 0 = -f + l - 3. Calculate f*w(h) - 3*z(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*k + 2 + (7 - 4 - 2)*(-k + 0 + 0) + 4*k + 2*k - 4*k - 1 + 1 - k + 37*k - 12 + 12 + (0 - 1 + 2)*(2*k + k - 2*k) as v + y*k and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6770202.42 rounded to the nearest 100?\nAnswer: -6770200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*8*(-6)\/(-228)*6\/(-336)*-4?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*t + 27 = 18, 19 = 3*p + 4*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 200863571 to the power of 1\/2, to the nearest integer?\nAnswer: 14173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3440579ml?\nAnswer: 0.0003440579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13160.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 3*w - 116964 = -7*w. Is w a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11788960 rounded to the nearest ten thousand?\nAnswer: -11790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44163 and 160305381?\nAnswer: 6309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:22 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 65. Let d = z + 52. Let k = d + -5. Sort 0.1, -6, k, 3 in increasing order.\nAnswer: -6, 0.1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 285*k + 5795. Calculate z(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h + 0 + 0*h**3 + 25*h**2 - 1\/15*h**5 + 0*h**4. Let j(l) = 8*l. Give j(k(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-3 - -4)*-1). Let 0*g**2 + 10 - 7*g**2 - 2*g**2 + 4*g**x - 5*g = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1827 by -63.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 3, g: 1}. What is prob of picking 1 t and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffr. What is prob of sequence rf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 38*o**3\/3 - 799532*o**2 + 2272318*o\/3 + 42080 = 0.\nAnswer: -1\/19, 1, 63120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g - 12*g = 66*g - 453. Put -31, -28, 1, g in increasing order.\nAnswer: -31, -28, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 13. Put 5, l, 4 in ascending order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from wwxwwwwxwwwxwyyyywy.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 64. Suppose 38*z - 8750 = n*z. What is z rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 3*m)*(5*m + 1 - 1)*(-7*m - 3*m + 19*m).\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 14, -8, 799 in increasing order.\nAnswer: -8, 1, 2, 14, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19219*i**3 - i**2 - 9*i - 4. Suppose -3*o = 21 - 9. Let f be b(o). What is f rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-143600)\/(-6))\/(-8)*(-118 - 2). What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qczqszzqqzqzqqqqzszq.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -1941*(-9)\/27 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8481 - -8470. Which is smaller: 0.074 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -29, -0.4, -3\/7, -0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2) - -2) + 1\/2. Suppose 4*u - 14 = 3*z + i, z = -1. Solve 4*c = q + 23, -c = -0*c + u*q + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/6735*(-132)\/110. Are k and -0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 81 = -3*r, 32 = -5*y + 5*r + 172. Let z(p) = -2*p**3 - 3*p**2 - 12*p - 27. Let g be z(-3). Is g less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 332, 712, 1236, 1904, 2716, 3672?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 2*m - 5*m - 4*j, 5*m - j - 115 = 0. What is the highest common divisor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120738722 and 16289.\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -4 (c) 2\/15 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16016698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2376228*u + 34*u**2 - 1188104*u - 1188124*u.\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 8 = -8*c. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2639, 2598, 2487, 2270, 1911, 1374, 623?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 94 - 154. Let q(c) = c + 19. Let k be q(17). Let l = f + k. Calculate the remainder when 5 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - s + 2, 2*t - 2*s = -2. Suppose -j - 16 = -3*f, -2 = -2*f - j + 2. Let z(u) = -4*u - 3*u + f*u + 4*u + 1 - t*u**2. Determine z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -38*b**2 + 10*b - 21. Let d be t(2). Let x = 165 + d. Calculate the remainder when 81 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/3 + 102*x. Let m(u) = -5*u + 3. Give j(m(v)).\nAnswer: -10*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - 4 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1937076)\/67060 + 28 + 1.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1948.\nAnswer: -584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 - 4*s. Determine n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**3 + 3*o**2 + 2*o + 9. Let c = 103 - 107. Let f(q) = -q**3 - q**2 - q. Let x(u) = c*f(u) - y(u). List the prime factors of x(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -30, -1\/10, 5, -350, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8042*r + 19791*r - 4409*r + 4101*r.\nAnswer: 27525*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.13 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/((sqrt(9) - (sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(324)))))*1) + -2 + sqrt(13) + sqrt(468)*-3 + sqrt(13))**2.\nAnswer: 194*sqrt(13)\/3 + 122461\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 5. Let a be z(-1). Let h be (-381)\/(-30)*a*5. Suppose b + 3*m - h - 16 = 0, -b + 113 = -3*m. What is b rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*x + 139*x - 34707*x**2.\nAnswer: -34707*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57586 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54344 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 17 - 7. What is the remainder when 35 is divided by (33\/w - -1)*-1*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 66, 4, -3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 853971\/19998110 + -12\/31345. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g. Suppose -15 = 5*y, 4*j - y = 2*y + 45. Let v(z) = 4*z + 19*z - j*z - 6*z**2 + z. Calculate 15*c(k) + 2*v(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 65*u**3\/3 - u**2\/2 - 9*u - 19. What is the tens digit of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let a be 2\/(-7) - (-16)\/56. Let c be 3 + (a - (h + 2)). Solve c*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 8*s + 4. Let u be h(-6). Let t = u - 7. Suppose -t = -2*b - 7. Let c(k) = -10*k**2 + k. What is c(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 400365.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1816*s - 1810*s + 3631*s + 4*w = 167, s - 10*w + 377 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20860 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**3 - 5*h**2 + 3*h. Let b(v) be the first derivative of 11*v**4\/4 + 3*v**3 - 5*v**2\/2 - 20. Calculate 3*b(w) + 5*y(w).\nAnswer: 3*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 3*c**3 - 46 + 24.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.4, -0.6, -0.145?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**7*j*j**(-4))\/(j*(j*j\/j**(3\/5))\/j*j*j**(7\/5)) assuming j is positive.\nAnswer: j**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 593817 - 593817 - 9199*f in the form s + o*f and give o.\nAnswer: -9199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11830.15 years?\nAnswer: 141961.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129698*z**5 - 4*z**4 + 4*z**2 + 901*z + 5.\nAnswer: 7781880*z**2 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltitlittlttltltt. Give prob of picking 1 t, 1 l, and 1 i.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 12*m**2 - 49*m - 3. Let z be s(6). Let w be (-1)\/((z\/(-45))\/9). Is w smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8656561579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94433918*i**6*p - 11014*i**2 + 3350*i*p wrt i.\nAnswer: 11332070160*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6706*(-3)\/((-18)\/(-3)). Let a = -66963\/20 + s. Calculate the common denominator of 55\/14 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(60)\/sqrt(6)) - (sqrt(60) + sqrt(15))\/sqrt(5).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let i be w(-7). Let o be ((-6)\/6)\/(2\/i). Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - -1) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 33. Is 39 a factor of q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -217, 2, 1, -1 in increasing order.\nAnswer: -217, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*w + 80, -4280*y + 4276*y - 3*w = -46. Let p(i) be the second derivative of 0 + 1\/2*i**2 - i + i**3. Calculate p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 11*h**2 + 2*h + 1. Let s be z(-11). What is the units digit of (-142)\/(-3) - 14\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66618, 66625, 66632, 66639, 66646, 66653?\nAnswer: 66660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -512, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 8*z - 201 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 9630*a**2 + 38455*a - 28830 = 0.\nAnswer: 1, 3, 1922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**2 - 8. Let n = -13358 + 13366. Let t(z) = -1. Determine n*t(u) - b(u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6203 + 17?\nAnswer: 621a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 8*r + 0*r to j*r + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-564)\/705 - (-6)\/5. Let f(x) = -2*x - 2. Let r be f(-3). Which is the fourth smallest value? (a) g (b) r (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.261 - 0.361. Let y = z + -19.9. Which is the third biggest value? (a) -1\/6 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let q = l + -3. Let k = 20 + -18. Solve -h - 5*z + 18 = q, -k*h - 10 = h - z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -587*h**5 + 22*h**4 - 32*h**3 + 5*h**2 + 6129*h + 60?\nAnswer: -35220*h**2 + 528*h - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/25? (a) -3 (b) -1\/2 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 - (3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.28243 (c) 3\/4 (d) 2\/5 (e) 0.9 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k**3 + 8*k**3 + 11*k**3 + 15*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -214692, -1, -2\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 31 = -3*h, 15 + 182 = 5*s + h. Let b be ((-14)\/(-8))\/(10\/s). Suppose 2*p - 4*z - 13 = b, 0 = -5*z. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387.469 - -388. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let z(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 10*o + 21. Let c(m) = -2*s(m) - z(m). Calculate c(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-14)\/10 - (-23 - (-572)\/26).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*h + 3*x = 14, h + 3*x = 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.3219309 to 1 decimal place.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 - n - 1. Determine z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 2248*s + 82219. What is a(36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)\/d*d**(5\/3))\/((d\/(d**8*d*d))\/(d*d\/(d\/(d\/(d\/(d*d*d\/(d*d*d\/d**(-2\/7)))*d*d)))*d))*(d**4\/d**(-2\/19))\/(d**5\/(d**(3\/5)\/d)) assuming d is positive.\nAnswer: d**(5466\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 14 = -2*m + o, -2*o + 8 = 0. Let c be 7 - 8*30\/40. Let n be 4 + c + 7*12\/42. What is the second smallest value in -1\/2, m, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00911 and 17158.\nAnswer: 156.30938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let y = -11.2 + 0.8. Let u = 10.3 + y. What is the closest to 3 in n, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 4 + -21 - -109 - 26?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:58 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37991\/570 - -131\/114. Let f = 68 - u. What is the smallest value in 4, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 2*f + 2. Suppose 7*x = 2 - 2. Suppose x = 2*t - 0 - 4. Determine r(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/30084 and -35\/736?\nAnswer: 240672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -50 (c) -0.3 (d) 23 (e) 3 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-4))\/3 - (-1152)\/256\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 2) + 3 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 13*b + 8*b = -13, 0 = -5*p - 3*b + 27. What is the smallest common multiple of 2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-30)*(-85)\/68\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 3*y**3 + y**3)*(2*y - y + 0*y) + 76*y**2 - 76*y**2 - 16*y**4.\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 2. Let l be 6\/10*5*1. Suppose -l*u + 1 = 7. What are the prime factors of r(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b**2 + 36*b - 1. Let o(c) = 3*c**2 - 7*c. Let u(z) = -11*o(z) - 2*q(z). Let p(r) = 2*r**2 - 2*r + 2. Let f be p(2). Give u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3\/(((-378)\/66264)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*m - 199*m + 130*m + 66*m.\nAnswer: 127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/3)*h*h*h\/(h\/h**(-2\/25))*h*h*h**(-3\/4)\/h*h**(-2\/5)*h*h*h assuming h is positive.\nAnswer: h**(1031\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let w(x) = -395 - x + 395. Calculate n(w(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1331.99309 - -1332. Round v to four decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189151460 to the nearest integer?\nAnswer: 13753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 17*g**2 - 19*g - 56. Let d be c(-16). Let b be d\/(-10) - (-1236)\/(-270) - -4. What is the nearest to -1 in b, 0.2, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 72*i**2 - 11*i - 922. Determine z(-72).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:47 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmrfffrmrrfrrrmffr. What is prob of picking 2 f?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 621315943 to the nearest integer?\nAnswer: 24926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 1 - 1 + (-p + 3*p - p)*(4211*p**3 + 138*p**3 + 4239*p**3)*(-1 + 4 - 4) to the form s + d*p**3 + g*p**4 + v*p**2 + h*p and give g.\nAnswer: -8587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15672261.\nAnswer: 3, 11, 474917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**7\/1260 + x**6\/120 - x**5\/30 + 3*x**4\/8 + 22*x**2. Let a(y) be the second derivative of p(y). Let a(w) = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -18.2\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23026660?\nAnswer: 2, 5, 1151333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6176 and 106505120.\nAnswer: 106505120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16*x + 258 = -12*x, -c - 2*x + 252 = 0. What is the first derivative of -c - 112 - 201 + 342 + 255*t wrt t?\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2232484 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -64 (b) 21\/5 (c) 63 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (5 - 7)) + (3 - (-6 + -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 2*c)*(2*c - 3 + 3) - 7*c**2 - c + 0*c**2 - c + (-221 + 377 - 227)*(-2*c**2 + 5*c**2 - 5*c**2).\nAnswer: 137*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 136620*m**3 - 1552410156*m**2 - 68504546880*m - 754278083328.\nAnswer: -3*(m - 22792)**2*(m + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f - 187. Let o be a(-16). Let q(s) be the first derivative of 1\/3*s**2 + s**3 + 0*s + 1\/4*s**4 - 4\/15*s**5 - o. Factor q(k).\nAnswer: -k*(k - 2)*(k + 1)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180736 is divided by 16373.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.39 + 0.89. Let m(l) = 2*l + 4. Let b be m(-3). What is the closest to -1 in a, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/106 + 113\/742. Let w = 0.89 - 0.8. Let l = 0.19 - w. What is the smallest value in l, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136973 divided by 13\nAnswer: -1136973\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 + 2*w**2 - w. Let b(x) = -6*x - 53. Let t = 136 + -145. Let m be b(t). Give s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7145\/(-140) - ((-3)\/(-42))\/(24 + -26).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iro when three letters picked without replacement from {i: 1, r: 1, m: 1, o: 1, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-65766\nAnswer: -13153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*((5*(-1 + sqrt(2))*-4 + 1)**2 + 3*(1 + sqrt(200))**2*2).\nAnswer: -29364 + 8640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 3*i**2 - 4*i + 2. Let z be a(-4). Suppose -10*c**z - 1 + 5*c - c**3 + 3*c**2 + 3*c**3 + c**3 = 0. Calculate c.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*m - 8, 3*m + 36 = 4*q - 0*m. Solve 3*o - 13 = -w, 2*w + o - q*o = -18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -980, -986, -1006, -1046, -1112, -1210, -1346, -1526?\n\"Answer: -r**3 - r**2 + 4*r - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21049)\/(-1157695))\/(1\/6).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362 and 135950005?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-1305)\/5))\/((-32)\/(-96)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 20*s - 27. Determine r(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/2 + 15\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -12, -5, 510, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 17*q + 8. Find the first derivative of w**2 - 15 + 1 + 0*w**q wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2828 + -2558. What is the remainder when c is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + (12\/9)\/(56\/126). Solve 25 = 42*t - p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312\/72*(1 - -446) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190944 and 3060.\nAnswer: 954720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.2595329 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*u = -s + 386, -257 = -2*s - 3*u. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29484*m - 24724.\nAnswer: 29484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/28 - -3) + (-1)\/(-7). Solve -3*n**s + 368*n + 648 + 100*n + 100*n**2 + 7*n**3 - 20*n**2 = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9*(-3)\/(-180)*(-24)\/27 and -53\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 45393728\nAnswer: 45393728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 44*a - 6*a)*(13 - 24 + 29 + (3 - 2 - 2)*(0 - 4 + 5) - 4 + 3 + 3 + 2 - 2 + 1 + 1 + 1 - 4 + 3 + 2 - 2).\nAnswer: -1113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6301, 6300, 6299, 6298, 6297?\nAnswer: 6296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229660 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m*n*o + 8*m*n + 1042017*m*o*q - 2*m*o - m*q - 3*m + 3*n*o + n*q - 2*o - 543 wrt q.\nAnswer: 1042017*m*o - m + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014195 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -25*s**4\/12 - s**3\/6 + 73*s**2\/2 - 2*s - 12. Find the first derivative of z(p) wrt p.\nAnswer: -50*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -0.2 (c) -5\/3 (d) -1\/8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -109*d + 436. Let c be p(4). What is the nearest to 1 in -2\/9, c, -20\/9, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*l + 733 = 3*l + 767, -4*f - 4*l = 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 10 = 0. What is the smallest common multiple of 9\/(-2 - 14\/(-4)) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 6) to base 5\nAnswer: -3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -638 - -639. Solve 2*l + k = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 353*j*q*y - 2*j*q + j*y**3 + 12*j*y**2 - 2*q - 130 with respect to y.\nAnswer: 353*j*q + 3*j*y**2 + 24*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*a - 24, -m - 457 = -3*a - 442 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/218 and -45\/16.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.053 + -0.253. Put -0.5, b, 0.1, -3 in descending order.\nAnswer: 0.1, b, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.255 - -457298.\nAnswer: 457297.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196880?\nAnswer: 2, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h**2 + h)*(-3 - 5*h + 1 + 4*h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.6613t in kilograms?\nAnswer: 197661.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629948689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641769241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 - 2*j - 3. Let z(n) = n**2 + 5*n + 1. Let r be z(-4). Let m = r + -2. What is the units digit of l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i - 5. Factor -m**3 - m + 2 + 4*m**2 + m - i*m.\nAnswer: -(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8135335 + -3?\nAnswer: -8135338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-45)\/10)*(34\/3 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 82*o**2 - 153*o - 249. Is k(-81) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 41*p = 44*p - 4, -5*w = 5*p - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-40)*-62 + (-1962)\/327 - (-181)\/(-30).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 7. Let d = 4 + g. Suppose d*u - 4 = -2*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.33? (a) -4 (b) 0.4 (c) 5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 13}. What is prob of picking 3 i?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlibziivvzib. What is prob of picking 1 l, 1 z, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-12 - (-21 + 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 2952.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.193126 rounded to two decimal places?\nAnswer: -27.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a + 114*a + 87 = 4527 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-6)\/(-9)*(-4)\/(96\/(-36))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 15. Factor i**3 - 19*i**2 - 4 + 4*i + 23*i**2 - 5*i**l.\nAnswer: -4*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o - 6*o. Which is the nearest to 1? (a) 5 (b) o (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.053 + -5.1. Let l = 21.8 - 21.75325. Let y = l + u. What is y rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8298?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 797 times -24982\nAnswer: -19910654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/15 (b) -21 (c) 3\/4 (d) 4\/109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 4*w**2 - 2*w. Suppose 0 = v - 0 - 2. Let c be j(v). Let m = 6 + c. Solve 0 = -0*h + m*h + 3*f + 7, 5*f = 5*h + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 10*d**2 + 8*d + 5. What is z(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 3*y = -20, -3*z + 15 = -2*y. Solve 5*g + 3*h = 5*h + 10, -z = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149978 divided by -14?\nAnswer: -74989\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 549980.94, 1 in ascending order.\nAnswer: -0.1, 1, 3, 549980.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14208 + 30070 = -298*q + 665 + 5767 for q.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 664305157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**10)**11 assuming k is positive.\nAnswer: k**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -156, -320, -496, -690, -908, -1156, -1440, -1766?\n\"Answer: -f**3 - 157*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 438 (b) 4 (c) 1349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(34) + sqrt(2176))\/sqrt(2) + sqrt(612) + 0.\nAnswer: 3 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1190 + 4*n**3 + 1392 + 1174 - 3756.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 21252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -11, -3*i - 86 = -o. Factor 196*m**3 - 101*m**3 - o*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4745974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 - 2*y - 4. Let o(u) = u**2 - 7*u + 3. Let c be o(6). What is the remainder when d(c) is divided by ((3 - 1) + 3)\/(10\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeepppepe. What is prob of picking 1 p and 2 e?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/3 - 388*f**3\/3 - 13306*f**2\/3 - 48632*f\/3 - 15704 = 0.\nAnswer: -151, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748 = 4*z - 3*n + 786, z - 5*n + 18 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 3. Let p(n) = 25*n - 3 - 26*n + 5. Suppose -2*y + v + 16 = 6*v, -y - 5*v + 13 = 0. Let g(s) = y*f(s) - 4*p(s). Calculate g(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*a - 1 = 0, -n = -3*a - 2*a + 3. Put n, 4, 3, 5 in increasing order.\nAnswer: n, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.2. Let o = 273094.9 + -273094. What is the smallest value in 2, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11311 - 3123101?\nAnswer: -3201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 281247523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/c*c**(-2\/7)\/c*c**1*c\/(c*c**0)*c assuming c is positive.\nAnswer: c**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -36. What is the first derivative of -237*x**4 - 3 + 227*x**d - 19 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*i - 5741 = -481 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4. Suppose 4*t = 2*i - 29 + 7, -t = -i + 5. Let v(k) = -k - 1. Determine t*v(w) - n(w).\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 152*b + 2888. Let c(g) = -4*g**2 - 228*g + 4332. Let k(v) = -5*c(v) + 7*r(v). Factor k(t).\nAnswer: -(t - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 - 2*m**2 + 13*m - 2. Let x = 116101 - 116108. Calculate o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/49 in 15\/73, 0.3, -44?\nAnswer: 15\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -d, -d + 4*y = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4055 - 22065?\nAnswer: -15010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 20*k - 14 + 156.\nAnswer: k + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 71 - 17. Let z(b) = -b**2 + 24*b - 125. Let s be z(w). Let v(p) = -p**3 + 10*p**2 - 2*p + 13. Determine v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 + 3*l - 2. Suppose -p - 2*n + 5 = -4*p, -4*p - n = -41. Let c(u) = -4 - 3*u**2 - 2*u + 6*u**2 + 5. What is p*c(g) + 4*s(g)?\nAnswer: g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 33*k + 29 = 5*j, k - 40 = -6*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 16 = -3*y + 2*m, 0 = -3*m - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqdqqqhhbbhq. What is prob of picking 2 h and 1 d?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1461 (b) 0.2 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/13)*t*t)\/t)\/t)\/t*t**(-31) assuming t is positive.\nAnswer: t**(-414\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/3 - 10*y**2\/3 - 4*y = 0. Calculate y.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -37*j**6\/24 - 59*j**3\/6 - 52*j**2. Differentiate u(b) wrt b.\nAnswer: -555*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1115385435 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-3 + 2)\/(-4)). Suppose 3*r + w = 8*r. Suppose 4*t - 48 = -0*t + r*x, 2*x = 4*t - 46. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510519 by -170173.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1221 and 507606?\nAnswer: 18781422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 - 14*f**3 - 106712*f**2 - 12719490*f + 39119175 = 0. Calculate f.\nAnswer: -185, 3, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1031*d**3 - 5*d**2 + 25*d - 81. What is the ten thousands digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1221020?\nAnswer: -1221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 586502581 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19))**(-13)\/(c\/c**35*(c\/(c\/(c\/(c\/(c**(-4\/3)\/c*c)))*c))\/c) assuming c is positive.\nAnswer: c**(2050\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -i. Sort i, -2, 0.\nAnswer: -2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-1)\/4). Let y be ((-56)\/(-420))\/(w\/10). Find z such that y*z**3 + 2*z**2 - 4\/3 - 2\/3*z**4 - 2\/3*z = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by (-4380)\/(-110) + (8\/(-22))\/(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + g**2 - 4*g + 7. Does 80 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -4*p - 6*k + 512, -1 = -k. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 21. Let s be 4\/(-16) - (-75)\/m. Let a = s + 3. Solve -3*f - 12 = -4*h + a, -3*h + f + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18269200 rounded to the nearest one hundred thousand?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 7220*c + 2124150. Let l(p) = -2*p**2 - 10822*p - 3186225. Let m(d) = -7*j(d) - 5*l(d). Factor m(n).\nAnswer: 3*(n + 595)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1828, -1803, -1732, -1591, -1356, -1003, -508?\n\"Answer: 4*b**3 - b**2 - 1831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/22035702 and 91\/1380.\nAnswer: 220357020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 82*g**2 - 15*g - 25. Is d(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.57. Let p = s + -0.3. Let w = -16 + 49\/3. What is the closest to w in 2\/15, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*x = 64, 5*q - x - 50 = 2. Let n = q - 6. Let k be n + -5 + 2\/(-6). What is the nearest to 2\/3 in 1\/5, 2, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 595 - 7*t**2 - 600 + 1195.\nAnswer: -7*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 18*n - 32. Let m be o(16). Sort -61, m, -3.\nAnswer: -61, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 70*v**2 - v - 3. Let s(m) = -m**2 - 6*m + 6. Let y be s(-6). Suppose -15 = y*b - b. Let k be j(b). Round k to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = -6. Suppose 5*u = -h + 68, -3*u - k*h + 14 = -31. What is the second derivative of 12*g - u*g - g**2 + g**2 + 3*g**2 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7605916.\nAnswer: 2, 23, 47, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68) + ((-3*sqrt(68) + sqrt(68))*-2)**2).\nAnswer: -2176 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.5 + 866.\nAnswer: 859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3878)\/(-42) + 2\/3. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2))\/(sqrt(5) + 4*3*sqrt(5)).\nAnswer: 2*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1364)\/(-2244) - 3\/(-51). What is the closest to n in -4, -2\/11, 0.3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3657 and 41817.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-2\/5))\/t))\/t**(-2))**(-1\/2)\/(t**9*t**(9\/4))**(-5\/11) assuming t is positive.\nAnswer: t**(751\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 17. Let k(s) = s**3 - 56*s**2 + 110*s - 107. Let w be k(54). Put w, -1, -5, t in increasing order.\nAnswer: -5, -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -240, -289, -338, -387?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4195)\/(-20) - 6 - 2)\/(3\/(-18)). Which is smaller: p or -1212?\nAnswer: -1212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 - 444613472*d\/5 + 24710142435486848\/5 = 0. Calculate d.\nAnswer: 111153368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6\/7, -3, 0.5, -26?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 0 + 3)\/1. Let p(w) = 11100000*w. Let n be p(o). What is n rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 28. Let m(y) = 677*y**2 - y - 2. Let x be m(z). Let v = 1239 - x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (0 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -12022221110221?\nAnswer: 12022221111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -11. Let z(u) = -19*u - 1 - u**2 + 4 + v*u. What is the tens digit of z(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*y = -21, 2*x + 4*y = -2*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-14 - (0 + -3)) + 0 + -26)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5771*n**3 - 4974*n**3 - 5593*n**3 + 5996*n**3.\nAnswer: -10342*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16 - 22958*o**2 + 2*o + 22957*o**2 + 9*o. Calculate g(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1362612, -10900842, -36790314, -87206646, -170325456, -294322362?\n\"Answer: -1362603*w**3 - 3*w**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 172.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*b + r - 289 - 89, 5*b - 7*b - r + 0*r + 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16363*p + 2. Let i(m) = 9351*m + 1. Calculate -16*i(b) + 9*v(b).\nAnswer: -2349*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2305676 is divided by 768522.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 + 6*q + 3. Let z(j) = -7*j**2 + 5*j + 3. Let w(n) = 3*g(n) - 4*z(n). Let c(r) = 3*r**2 - r - 1. Calculate -5*c(v) + 2*w(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/20 + p**3 - 33*p**2\/10 + 512*p. Factor b(h).\nAnswer: 3*(h - 1)*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/50 + o**4\/30 + 8*o**3\/5 + 36*o**2\/5 + 35*o + 6. What is u in l(u) = 0?\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*r + 27*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 22558426.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(15\/6) - (-1 + -42). Let k = m + -38. Let n(p) = p + 2. Let l be n(0). Solve -2*g + k*g = -l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 - 2*q**3 + (8*q**2 - 10*q**2 + q**2)*(2*q + 0*q + 0*q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -17*t + 4. Is l(-10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526400*k**2 + 484946*k**2 + 41459*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0965*0.0547.\nAnswer: 0.27877855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2867*w**4\/4 + 1517*w - 984. Find the first derivative of r(d) wrt d.\nAnswer: 8601*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97373.0000067169 + 97373. Round i to seven decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + 0 + (-2238 - -47). Let o = l - -3379. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 183*d\/2 + 11163\/4.\nAnswer: 3*(d + 61)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-c + 4*c - c) - 4*c + 3*c - c + 2*c - 2 + 2)*(-10*c**3 + 5*c**3 - 4*c**3).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/120 - g**5\/12 + g**4\/4 + 4*g**3\/3 + 4*g**2. Let n be p(-6). Factor n*d - 2*d**3 + 1 - 10*d - 1 - 4*d**2.\nAnswer: -2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -56*b + 3390. Give c(76).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4))*w)\/w**(-1)*(w*w**2)\/(w\/(w**(-3)\/w)))\/(((w\/w**(-1))\/w**(-2\/5))\/(w\/w**(-2\/5))**(-1\/12)) assuming w is positive.\nAnswer: w**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 864*n**2 + 885*n + 5202.\nAnswer: -3*(n - 3)*(n + 2)*(n + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-140)*-5*(-4)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -171. Is (f\/(-16))\/(2\/50264) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120121 + 102?\nAnswer: 121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:50 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.333 + 2.333. What is the nearest to z in 5, -0.3, 0.38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 616256057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/6*(-14)\/49. Which is smaller: c or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45936\/53 or 133?\nAnswer: 45936\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, 16, -0.1 in descending order.\nAnswer: 16, 3, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -178.\nAnswer: 8\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145561 * 0.3.\nAnswer: -43668.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*a + 20, 0 = 5*t + 74*a - 70*a - 44 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*c**2*q*v**3 + 5*c**2*v - 307*c*q*v**3 - 5*q*v**2 - 12*q*v wrt v?\nAnswer: 120*c**2*q - 1842*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -2 = s - y. Let b(n) = -2*n**s + 3*n**2 + 0*n**2. Let h(g) = -g**2. What is h(b(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69818128 to the nearest integer?\nAnswer: 8356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdoadadhdoaeoodlld. What is prob of sequence odh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6014874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 32*j**2 - 54*j + 184. Let g be h(-30). Calculate the highest common factor of 452 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = d, 5*h + d + d - 15 = 0. Let u = 7 - h. Suppose -43 = -u*q - 33. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0161 and -97.2?\nAnswer: -1.56492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-31)\/(-3) - (-16)\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let q(p) = 2*p + 10. Give 10*h(u) - q(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 1423286?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.4552, 5?\nAnswer: -0.4552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 4. Let t = 0.26 - -0.04. Let z = -0.8 + t. What is the nearest to 0 in 1, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2011, 6\/53, -0.2.\nAnswer: -2011, -0.2, 6\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 10 + (-2 + 0 + 0)*(5 + 0 - 4) + 0 + 5 - 3 + 3 - 1 + 0)*(-3*x - 3 + 3) to the form d + s*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 4\/7 (b) 2\/7 (c) -3\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 10*g + 1. Let f be i(-10). Let k(d) = d**2 - 86*d - 1013. Let w be k(-12). Let a = f - w. List the prime factors of a.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1 - (40 - 51)) + -9 + 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = v, d - 3*v = -0*d - 14. List the prime factors of 1136\/44 - d\/11.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -68 (c) 1\/7 (d) 2\/13 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145914 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (10 - (-420)\/(-9))*48\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147014 (base 9) to base 14\nAnswer: 24d3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvtuvuzzzz. Give prob of sequence utzv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -5. Let p = 7 - -57. Let h = -43 + p. Calculate the remainder when h is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 12*m - 75. Calculate the remainder when 184 is divided by u(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0392 + 0.04. Round y to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*k - 511, -3*d - 792 = k - 2305. What is the smallest common multiple of d and 4?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 21*a - 6*a)*(-6 - 4*a + 6).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27411551719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9321 in -2\/11, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnmnmnmnm. What is prob of picking 3 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19069*z**4 - 30*z**3 - 123*z + 1898 wrt z?\nAnswer: 228828*z**2 - 180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4 + 1*(-2 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 7\/(-9) + 48\/27. Suppose -3*l + j*l = -2*l. Put l, 1, 16 in descending order.\nAnswer: 16, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 28*d - 8*z - 46567 = 0, 0 = 4*d - 5*z - 37248. What is the highest common divisor of d and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s - 3*s + 9*s)*(4*s + 3 - 3).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o + 92*o - 33*o - 29*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 16) to base 15\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1715597863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20165 and 140600?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 4. Let s be 14\/3 - g\/6. Let u = -7 - -7.3. What is the second biggest value in s, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*m**2 - 6 + 19 - 15.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1760792 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 4*o**2 + o + 2. Let c = 0 - -2. Let t be p(c). Suppose -t*i = -2*i - 80. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 19.9. Let b = 0.9 - d. Let n = -0.8 + -0.2. Are n and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16581.39 to the nearest 100.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*z = -100, -z = -2*f - 2*z + 50. Suppose -3 - f = -4*s. Suppose 5*c = 5*c - 5*c. Solve 2*o + 4*m - 5 = s, -o - m + 1 = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2857, 2856, 2855, 2854?\nAnswer: 2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -204, -205, -208, -213, -220?\n\"Answer: -z**2 + 2*z - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 4}. Give prob of picking 1 b and 2 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000010 - -100100001111100001?\nAnswer: 100011110111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 13 = 133. What is the units digit of ((-24)\/(-10))\/(6\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*y**2 + 802*y**2 + 792*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.4, -1, 0.5, 126397, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4 - 213*y**3 + 1605*y**2 + 13725*y = 0.\nAnswer: -5, 0, 15, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58876132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 31. Suppose -y - 4*q = -48, -48*q - 35 = -53*q. Determine i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 9. Let q be t(-7). Suppose 3*u = q*u + 5*f + 14, -u + 2 = f. What is the second derivative of -2*n + n + 7*n + 4*n**4 - 2*n**u wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 i when three letters picked without replacement from {i: 3, k: 3, j: 2, f: 1, u: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -29. Let p = z - -68. Let k = -5 - -7. Solve -4*x = 3*v + 14, 2*x + k = -v - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c - 27. Let h(o) = 3*o. Calculate h(s(d)).\nAnswer: -21*d - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 3 - 3)*(-4494 + 520 - 4213) to i*a + v and give i.\nAnswer: 8187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + b = -1 - 6, 0 = 2*b - 6. Solve -3*u + 5*t = r, -4*u - 10 = -3*t - 2*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113603.\nAnswer: 7, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.7109 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(76) + 0 + sqrt(76) + sqrt(76) + -2 + 1 + ((6*(sqrt(19) + 3))**2 - (sqrt(475)*-1)**2)).\nAnswer: 1596 + 666*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-74 - -29 - -42))*(-1)\/27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 3*s, 5*j - 6 = 2*s + 2*j. Let z be (-6 + 84)*1\/s. Suppose -2*d - 195 = -7*d. Calculate the greatest common divisor of z and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:23 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from yyuyplypt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 2*a - r, -4*a - 6 = -5*r. What is the least common multiple of 4\/8*-1*-2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -0.1, -0.2, 0.04583 in decreasing order.\nAnswer: 0.04583, -0.1, -0.2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22663541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p + 3. Let n be k(3). Is n >= -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Suppose -2*g = -5*p + 75, -2*g + 48 = 3*p + m. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 1195, 1190?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230 divided by 84859?\nAnswer: -7230\/84859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1054215 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(245) + 3 - -5*(-2 + sqrt(5))))**2.\nAnswer: -1512*sqrt(5) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2271, 4540, 6809, 9078, 11347, 13616?\n\"Answer: 2269*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.546 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*q**2 - 46*q**5 - 47*q**5 + 119*q**5 wrt q?\nAnswer: 1560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7296\/(-10728) + 3\/(54\/12)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 8*g + 2*o = -7, 0 = 4*g + o - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j - 545. Let h(k) = -9*k + 272. Let l(s) = 13*h(s) + 6*t(s). Does 19 divide l(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + m**3 + m**2 - 170*m. Let u(q) = 2*q**3 - 11*q**2 - 13*q - 4. Calculate 13*a(c) + 6*u(c).\nAnswer: -c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 + 3*o + 1. Let b be z(-3). Suppose 5*n - 11 + b = 0. Suppose 6 = -2*r, -35*t + 40*t - 32 = 4*r. Solve n*p - t = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14287171 or -14287170?\nAnswer: -14287171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12*b - 1. Suppose 2*y = -3*y + 5. Suppose 3*v + y = 2*v. What is the smallest common multiple of 2 and g(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*x + 72, -j - 5*x + 7*x + 48 = 0. Let d be j\/168 - 271\/(-4). What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*4 - (-180)\/50. Let w be 58\/12 + (0 + 2 - 6). What is the nearest to t in -13, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/120 + 3101*d**5\/30 - d**4\/24 + 13789*d**3\/6 - 12273*d**2. Find the first derivative of v(p) wrt p.\nAnswer: -3*p**2 + 12404*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 24*b - 4. What is the hundreds digit of k(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + -2 + -1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -4, 2.2, 2\/5, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-4) + ((-135)\/(-12))\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1886, 1506, -0.5, 2\/7 in descending order.\nAnswer: 1506, 2\/7, -0.5, -1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6*x = 140. Which is greater: x or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + (sqrt(468) - (2 + sqrt(468))))*2.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 14 - 34. Let w(l) = -3*l + 5. Let i be w(v). Suppose d = 2*d - i. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8170601 is divided by 92844?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0 + 0)*(-2*y - 2 + 2) + 2*y**2 - 5*y**2 + 2*y**2 - 5*y**2 + 3*y**2 + 0*y**2 + (-5*y**2 + 2*y**2 + y**2)*(-1 - 2 + 1) + 10*y**2 - 5*y**2 - 3*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*1\/(-15))\/((-10)\/630*3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 3637*a - 3625*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2*b + 6*b + 5*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1bb39 (base 12) to base 8\nAnswer: 120635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:35 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -896473*h**4 + 1 + h + 5*h**3 + 896479*h**4 - 3*h**3 in the form g*h + x*h**4 + q + n*h**2 + t*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, -473, -0.3, -1\/2, 7.7, -4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 24*t**4 + 2668*t**3 + 5668*t**2 - 16*t - 1744 = 0.\nAnswer: -109, -2, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5834004 divided by 11.\nAnswer: -530364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 92. Let a = -12 - d. Suppose 64 = y + 5*f, -4*y + a*f = -y - 132. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*l + 8, 3*l - 9 = -2*j - j. Suppose 5*f - l*f = 75. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-6)\/16*44. Let b = p + 57. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18. Suppose l = 5*v - 2*d, 10 = -2*v - 3*v + 4*d. Let a be 11\/3 - 1\/(-3). Solve -v*j + a*j + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029898901 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(7) - sqrt(21)\/sqrt(3)) + sqrt(70)\/sqrt(90) + sqrt(7))*-3*6.\nAnswer: -24*sqrt(7) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*t + 41041*a**2*t + a**2 - 4*a*t - 2*a + 10376*t wrt a.\nAnswer: 36*a**2*t + 82082*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131667 + -91476. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114611881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 3. Suppose 3*w + 2 = -q. Let o be (w - 0) + (-4)\/8. Which is the second biggest value? (a) o (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29769\/2920 - -3\/584. Suppose 6*a - 6 = 4*a. Suppose -s - 52 = -a*s. Find the common denominator of s and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 4554\nAnswer: -31878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133\/2 + -65. Sort -0.5, l, -0.1 in increasing order.\nAnswer: -0.5, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 80*f + 111956. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203090*d**3 + 228952*d**2 wrt d.\nAnswer: 1218540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43084.38ug to grams.\nAnswer: 0.04308438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k - 2. Let a(y) = 5*y - 3. Let v(s) = -2*a(s) + 3*i(s). Let f(h) be the third derivative of -2*h**5\/15 + 40*h**2 - 2. Determine v(f(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -2*g**7\/21 - 2*g**6\/5 + 2*g**5\/5 + 4*g**4 + 16*g**3\/3 - 275*g. Determine k, given that r(k) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-1)*((-129690)\/1800 + 72)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259437\/22 + -11794. Calculate the common denominator of 53\/4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1809 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (9 + -4 + 4 + 1)) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04120236 and -5.\nAnswer: -4.95879764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21376.792 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 39*c - 41*c = 75, h + 5*c - 42 = 0. Suppose 129451 = 24*s - h*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 5571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u*u\/(u\/(u\/(u*(u\/(u*u**(-3\/8))*u)\/u*u)))*u**7\/u**1)\/((u**(1\/3))**14*u**3*u\/u**4) assuming u is positive.\nAnswer: u**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 11. Let r(f) = 4*f + 11. Let j(w) = -3*l(w) + 2*r(w). Let c(y) = -2*y**2 + y + 6. Determine -5*c(d) - 3*j(d).\nAnswer: d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/7 - 1032\/(-42). Suppose 4*s = -c + k, -c + 27 = 2*s + 5. Let q = c + -6. Is q < 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/3 + 269657*c = 0. What is c?\nAnswer: -808971, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**3 - 4*a**3 - 1 + 1.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754, -3022, -6802, -12094, -18898, -27214, -37042?\nAnswer: -48382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*x - 58, 5*q + 3*x = 6*x + 86. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/2, -1\/4, -13, 3.6, -35 in ascending order.\nAnswer: -35, -13, -1\/2, -1\/4, 0, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k**4\/13 - 356910*k**3\/13 - 22147848*k**2\/13 + 4038680*k\/13 = 0. What is k?\nAnswer: -62, 0, 2\/11, 16285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - 8*m**2 + 65. Let g(b) = -3*b**3 - 3*b**2 + 29. Let q(p) = 4*d(p) - 9*g(p). Determine q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51 and -24318?\nAnswer: 24369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000467306 rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p - 3*p)*(-18*p + 11 - 11).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17802?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290 + -286. Which is the smallest value? (a) r (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghg when three letters picked without replacement from {g: 9, k: 5, h: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6020, 12194, 18320, 24398, 30428, 36410?\n\"Answer: -24*z**2 + 6246*z - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/(-2 + 58\/28). Suppose 24*o - 31*o + h = 0. What is the greatest common divisor of o and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0770779 litres?\nAnswer: 77.0779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25470 and -40.\nAnswer: -1018800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 5*n - 4*n)*(5 + 5 - 4)*(-7 + 0 + 5) in the form i + u*n and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76146691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 43. Solve 4*z - 32 = -4*w, 4*z - 2*w - n = -4*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 - u. Let l(k) = -31*k**2. Determine t(l(d)).\nAnswer: 961*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27 + 3)\/(-6) - -436. Find the common denominator of (0 + 148\/(-6))*(-15)\/c and 137\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2357064 (base 8) to base 11.\nAnswer: -401977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-42) - (-70)\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8898 and 253063569?\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, -2\/3, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 - 20*q + 3. Let n be g(-7). Let x be n\/14*-7 - -1*2. Solve x*m - 5*j + 16 + 5 = 0, 5*j - 20 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 254*d**3 + 178*d**3 - 219*d**3 - 4*d to v*d**3 + n*d**2 + t + h*d and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:50 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20741427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from bhcgh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -369\/22 - -33\/2. Which is the nearest to j? (a) 3\/4 (b) 6.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*v**2 + 47*v**2 - 106*v**2)*(5*v**2 - 3*v**2 - 3*v**2).\nAnswer: 214*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 2:49 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1110101110100111010?\nAnswer: 1110101110100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1) - (-20)\/((-126620)\/(-6409)). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 1524978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2810022 (base 10) to base 2\nAnswer: 1010101110000010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*t = -9, s - 23 = 4*t - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/((h*h**(-8))\/h))**(-8))**(2\/131))**(-5\/7))**(-2\/11) assuming h is positive.\nAnswer: h**(-1440\/10087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + -31. Let m = j - -88. Let v = 0.02043 - -0.17957. Is v not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 33 - 11 = 5*q, c = -4*q + 5. Let a = 2 - -24. Suppose i + 0 - 7 = -y, 4*y - a = -3*i. Solve -i*b = -q + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/10 + 38\/((-3800)\/60). Solve -3*d = -l*y + 5 + 9, -2*y - 1 = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + v - 20 = -4*g, -4*g = -v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -587, -2929, -7931, -16493, -29515?\nAnswer: -47897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-25 - -2)) + (-2 - (5 - 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -757, -631, -503, -373, -241, -107?\n\"Answer: z**2 + 123*z - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 6664483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 41*z**2 + 5*z - 86. Let t(y) = 14*y**2 + 2*y - 29. Let m(d) = 6*b(d) - 17*t(d). What is the units digit of m(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -34, -41?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 995500939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/8*(-233)\/((-19572)\/(-72))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35)\/((-2)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30907543493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 51 + 13)*(2*i**4 + i**4 + 0*i**4) + 2*i**4 + 16*i**3 - 16*i**3 as z*i + d + j*i**2 + r*i**4 + h*i**3 and give r.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*a + 35870, -2*a = -13*v + 9*v + 35868. What are the prime factors of v?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-18))\/((-6)\/8). Suppose 4*o - 2*t - 410 = 0, -z*t + 290 = 3*o - 0*t. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(224*t + 78*t + 58*t).\nAnswer: 1440*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 - -6713 - 8\/((-8)\/(-7)). Calculate the greatest common factor of l and 414.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from czzzzccucuuzzuczz?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 63*l**3 + 2*l + 4*l - 1 - l - l**2 + 62*l**3 to the form b + h*l**2 + i*l**3 + q*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10923*j**2 + 997 wrt j?\nAnswer: 21846*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -22402043?\nAnswer: -22402033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 182901*u**2 + 2787639864*u + 2787822768.\nAnswer: 3*(u - 30484)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7)*-4 - 51\/357. Suppose 2*k + 1616 = 5*k + r, 4*k - 5*r - 2142 = 0. What is the third derivative of 12*q**2 - k*q**5 + 532*q**5 + c - 1 wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m - 12. Let l(f) = -31*f - 23. Let j(o) = -2*l(o) + 5*r(o). What is the units digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19721 = -39*g + 3*b + 19673, -2*g + 4*b + 136 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -51785843?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -73. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.2 + -33. Let d = 4.2 - l. Sort -29, 0.3, d, -4.\nAnswer: -29, -4, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 3*o**4 - 4*o**4 + (-o**3 - 1 + 1)*(0*o + o - 2*o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 18184?\nAnswer: 18182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3074997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 8*y + 2*y + 14 = -2*k, 0 = 138*k + 2*y + 418 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2674 is divided by 524?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3451359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)\/(sqrt(7)*2))**2 + (sqrt(26)\/sqrt(2) + sqrt(13))*3)*2.\nAnswer: 13\/2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 156.\nAnswer: 156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 35477.313.\nAnswer: 35476.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(405) + 1)*4*-5 + 2)**2.\nAnswer: 28080*sqrt(5) + 168084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16960 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1969 or -1968?\nAnswer: -1968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/4 - 369*o**4\/4 + 849*o**3\/2 + 2121*o**2 + 378*o - 2832 = 0. What is o?\nAnswer: -2, 1, 8, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let c be n(-4). Suppose 2*g - 6*g = -3*u - 9, 4*u + g - 7 = 0. Suppose -2*j - 3*j + 4*a = -10, 5*a = 0. Solve -j - u = -c*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12d + -2a?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 2*u. Let m be (-2)\/4*(-4)\/u. Let j = -0.06 - 0.44. Which is the second smallest value? (a) j (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380396*n**2*q + 717*n*q - 8*n - 2*q - 3 wrt n?\nAnswer: -760792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.951 - -23. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432135532 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 105 - 200 - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011000010110000010100 + -100100?\nAnswer: -1100011000010110000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/500 and 1\/40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26885, -26887, -26889, -26891, -26893?\n\"Answer: -2*q - 26883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 6*z. Let v(f) = -6*f. Determine v(t(o)).\nAnswer: -30*o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -45. Let v be (1\/(n + 0))\/(2\/(-6)). Suppose -z = t - 52, -z + 50 = v*t - t. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159, -812, -1519, -2274, -3071, -3904, -4767?\n\"Answer: g**3 - 33*g**2 - 561*g + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1271 + 1258 - (-63 + -1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*y + 2152, -30*y + 27*y = h - 1294. What is the highest common factor of 1232 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 4813680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/3 + 4*a**3\/3 - 2*a**2 - 16*a\/3 - 8\/3 = 0. Calculate a.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 325*t - 827. What are the prime factors of i(8)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2\/41, 7 in ascending order.\nAnswer: -4, 2\/41, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*(z**0\/z)\/z))**(-15)\/(z**(1\/3)\/z*z**7)*(((z**3*z)\/z)**(8\/7))**(-26) assuming z is positive.\nAnswer: z**(-2950\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 137142.8384.\nAnswer: 137146.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.54057 meters to nanometers.\nAnswer: 47540570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*j = -15, 3*j = 11*i - 15*i - 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/4 - 8*v. Let z(a) = -11*a + 10. Let m(d) = 4*d - 4. Let f(r) = 5*m(r) + 2*z(r). Determine h(f(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - (49 - 59 - -45)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**8)\/u*u)**35\/((u*u**(-7)*u)\/u*u**(1\/7)) assuming u is positive.\nAnswer: u**(2246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*o + 13*o - 44 = 48, 15 = -5*k + o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.93 + 37.930002872. What is s rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - ((sqrt(117))**2 + sqrt(13))) - 2*sqrt(13)*1.\nAnswer: -2*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/((l**(2\/9)\/l)\/l)))\/l**(-12))\/((l*l\/(l*l**1\/l*l))\/(l\/(l\/(l\/((l\/(l\/(l*l**(1\/3))))\/l*l))*l))) assuming l is positive.\nAnswer: l**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 258305628.19 rounded to the nearest 100000?\nAnswer: 258300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/(-140))\/((-15)\/(-6)))\/((-21)\/42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 9*l**2 - 5*l. Let w(t) = t**3 - 2*t**2 + t. Suppose 64*j - 71*j - 14 = 0. Calculate j*v(c) - 9*w(c).\nAnswer: -3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 830391 (b) -1\/3 (c) 2\/13 (d) 3\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0393129216 to five dps.\nAnswer: -0.03931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2518117 or -2518118?\nAnswer: -2518118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 at most 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from {h: 6, q: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a**2 + a**2)*(0 + 4 - 5) + 4*a**2 + 0*a**2 + a**2 + (2*a - a - 2*a)*(-2*a + a + 0*a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:25 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 11 - (-3 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -77 - (2 + 2 + -5 - (401 + -387))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/26)\/((-139)\/(-1807)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + w**2 - 7*w**2 as i*w + n*w**2 + k and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -k - 8, 8*k - 3*k = 5*u + 35. Suppose -v - 3*l + 13 = 0, 2*v + 1 + 3 = k*l. Solve b + 3*b = v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-32))\/(666\/(-296)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:06 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y - t, 2*y - 2*t - 25 = 3*t. Let z(g) be the second derivative of -1\/48*g**4 + 1\/6*g**3 - 4*g + 0*g**2 + y. Factor z(s).\nAnswer: -s*(s - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - l**2 + 5)*(4 - 4 + 2)*(-2 - 1 - 1).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/8 + 31*o**4\/4 + 1119*o**3\/8 + 4313*o**2\/4 + 3736*o + 4788 = 0 for o.\nAnswer: -38, -9, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -801\/8?\nAnswer: -801\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 3 (d) -5\/6 (e) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6209 = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + 2*b**2. Determine s(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 10*c**2 + 0*c**2 + (c**2 + c**2 - 3*c**2)*(2 - 6 + 8) to r*c**2 + g + a*c and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3298 + 0.4.\nAnswer: 3298.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/6, 5, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4440*s**3 - 18365*s wrt s?\nAnswer: 26640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/4 + 12\/8. Let k be (-2)\/(-3)*6\/w. Which is the smallest value? (a) k (b) 2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 + w**2 + 34*w - 69. Give h(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 5*x + 10. Let u = -29 + 26. Let p be k(u). Suppose -1 + 24*v**3 + 6*v**p + 33*v**2 - 10*v**5 + 1 - 25*v**2 = 0. Calculate v.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -626648 times 0.06?\nAnswer: -37598.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -1000100?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, -11, -6, 0.5, 17\/2, 12 in decreasing order.\nAnswer: 12, 17\/2, 17\/3, 0.5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 99*x**3 + 3978*x**2 + 18204*x - 51480 = 0.\nAnswer: -55, -6, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 h when four letters picked without replacement from hhaaahhmhhaahaahham.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t - 12 + 12 - t. Let p(c) = 3*c**2 + 6*c. Let i(g) = 6*g**2 + 11*g. Let o(w) = -6*i(w) + 11*p(w). Calculate z(o(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 61*r + 9. Let j(y) = 4*y + 1. Calculate d(i) - 7*j(i).\nAnswer: 33*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (565 + -546 + -37 + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -52674299.\nAnswer: -52674299, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 1 - (-7)\/(28\/76) is divided by (132\/(-77))\/(4\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + 10020.02.\nAnswer: 10007.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-6 + (sqrt(95) + sqrt(95) + sqrt(95) + -1*sqrt(95))*-3 + sqrt(95))\/(sqrt(605) + 2*(sqrt(605) - ((sqrt(605)*-2 - sqrt(605)) + sqrt(605)))).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1179 - 1177. Solve -j*l - f = -6*l - 8, 3*f + 10 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 183.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 28. Suppose -3*m = 2*c + 3*c - 164, 2*m - z*c = 141. Let x be 112\/m + 4\/18. Solve x*y = y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142718883?\nAnswer: 1142718883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:23 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40153798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5\/9 + 62*q**4\/9 - 46*q**3\/9 - 212*q**2\/9 + 64*q\/3 = 0. What is q?\nAnswer: -16, -2, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224*k**2 - 1884*k + 1884*k)*(-4*k + 4*k - k**3) + 1 - 2*k**5 - 1.\nAnswer: -226*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*m - 26 = 2*x, x - 7 = m. Suppose -x = -3*p + 21. Calculate the highest common divisor of 88 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000116631 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 183. Factor -8*i**4 + 2*i**3 - 8*i**4 - m*i**4 + 2*i**5 + 19*i**4.\nAnswer: 2*i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130b9 (base 12) to base 14.\nAnswer: -96d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1184126 divided by 164\nAnswer: -592063\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2 - 10\/(-6))*1. Suppose 4*h - h = 24. Suppose 2*o - h = -2. Calculate the highest common divisor of o and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -664, -745, -824, -901, -976, -1049?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/2 + 2)*-4. Suppose 0 = -2*h + o, h = 5*n - 30 - 24. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/956 and -56\/253.\nAnswer: 241868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 z, and 1 c when four letters picked without replacement from zczcdlcdlpzdzpddzp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Let b(h) = j*h - 5*h + 4*h + 0 - 1. Let w(t) = 2*t - 1. What is 4*b(k) - 3*w(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 + 4*u + 3. Let l be r(-2). Suppose -1 = 8*x - l*x. Which is the second biggest value? (a) -5 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -25*o**3\/2 - 21*o**2\/2 + 251*o. Differentiate v(z) wrt z.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000100178361 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {f: 1, e: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(468))*3 + 0 - (sqrt(13) + 0 + sqrt(13) - sqrt(13))*1*6)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8140\/(-30))\/((-2)\/9). What are the prime factors of (7 - (9 + -3))*f?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11990*w - 759*w + 1430*w.\nAnswer: -11319*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 8*a - 6. Calculate o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 363. Solve -2 = -2*a - 5*u - 23, 0 = -z*a - 2*u - 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(119) + (sqrt(119) - 1*sqrt(119))))\/((sqrt(7) - sqrt(7)*-2)*-4 + sqrt(7) - sqrt(7)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/27 and -31\/2190.\nAnswer: 19710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + -3 + (sqrt(2736) + (sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + 1)) + 1)))*-2 + -1))**2.\nAnswer: 96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - a - 4 = -0*r, a = -5*r - 10. Sort r, 3, 169 in descending order.\nAnswer: 169, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.12005 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 6. Let z be s(-4). Suppose 3*i + 20 = 5*g, 2*g - g - 27 = -4*i. Suppose 0 = -2*o + 3*p, z*o - 19 + g = -3*p. Solve -2 - 1 = o*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/4825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(11340\/(-9) - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182812 and 49672.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s - 48. Suppose h + 137 = -5*u, -5*h - 64 = -0*u + 2*u. Let a = s + u. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 16. What is u(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w, 2*n = 4*w + 2547 + 407. Is 1478 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, z: 3, i: 3, q: 3, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 41*t + 279 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d. Suppose -4*v + 19 = 4*h - 25, -4*v + 2*h + 38 = 0. Let b be (8\/6)\/(v\/(-45)). Let t(k) = k + 0*k + 0*k. Calculate b*j(s) + 51*t(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686b9 (base 12) to base 16.\nAnswer: 21fed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -20. Let m be 1 - (-1695)\/5*i. Suppose 2*c + 3*c = m. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -1 + (16 - (2 - -8)). Which is the nearest to -3\/19? (a) d (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glgx when four letters picked without replacement from xhhgxghlgxhxhxghxggg?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 2*j**3 - 3*j**3 + 3*j + (6*j - 2*j - 2*j)*(-2*j**2 - j**2 + 2*j**2) - 37*j + 37*j - 3*j**3 - 5.\nAnswer: -6*j**3 + 3*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 1564 = 3*v + 4*w, -3*w - 1043 = -2*v. Let r = v + -508. Solve -9*q = -6*q + r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 22*q**2. Let p(j) be the first derivative of -9*j**2 - 179. Give p(l(f)).\nAnswer: -396*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) 3\/7 (c) -5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -570*l + 8. Let j be n(-19). Suppose -11*b - i = -6*b - 27095, 0 = 2*b - i - j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 + 146 + 11 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = g + 4*g - 18, 4*q - 30 = g. Let o = 21 + q. What is the remainder when 110 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002414 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 562721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 175, 314, 455, 598?\n\"Answer: p**2 + 136*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 437396028 a multiple of 5518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 32234*b**3 - 16124*b**3 + 748 - 16109*b**3 in the form y*b + c*b**3 + g + a*b**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 * 0.03.\nAnswer: 3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 + 16)*(-s**5 - 4*s**5 - s**5).\nAnswer: -144*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 40) + (-70 - -84) + 0 + -19?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o**2 - 3*o)*(-2*o**2 + 2*o**2 - 2*o**2) + o**4 - 4*o + 2*o + 4*o.\nAnswer: -3*o**4 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4802 by -2.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3468860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4*t**2 - 41*i**4*t - 57*i**3*t**2 - 2*i**2*t**2 + 13*i**2*t - 5705*i*t wrt i?\nAnswer: 48*i*t**2 - 984*i*t - 342*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:38 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000044533 to 7 decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6665.6 and 0.1.\nAnswer: -666.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 9. Suppose 0 = 3*b + 6, 2*n + k*b + 4 = -b. Solve 3*d + n = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(1\/17)))*x**(1\/4))\/(x*x**(-16)*x**8\/x) assuming x is positive.\nAnswer: x**(633\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.54 - -15. Let n = s + 0.57. Put -8, 0.3, n in decreasing order.\nAnswer: 0.3, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a factor of 490782386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-3*(5 + -2*sqrt(147)) + 4*-4*(sqrt(147) - (sqrt(147) + 1))) + 1)*2)**2.\nAnswer: 4032*sqrt(3) + 190576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*m - 4*m + m)*(3 + 6 + 2).\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*c + 2924 + 3307. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -13\/5, -5, 7.8, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-63))\/((200\/(-48))\/(-25)). What is the third smallest value in 4\/5, -15, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970 is divided by 355?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193 or 35920?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbxj when four letters picked without replacement from {x: 3, j: 4, p: 1, b: 2, k: 7}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109500.2 rounded to the nearest 10000?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-336)*7*40\/(-6). Put x, 0, 1, -1 in increasing order.\nAnswer: -1, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 10. Let f be (19 + -11)*(-2)\/4. What is x(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67647.54mg in grams?\nAnswer: 67.64754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 646 - 286. Suppose 2*f + a = 7*f. 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: Is 2703 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3520400 - -1145?\nAnswer: -3515211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11046 is divided by 3682.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1753*f + 255948. Determine w(-146).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*-1)\/sqrt(2) - 4*sqrt(28).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -141. Which is the closest to 0.03? (a) z (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.2, -12\/19, -1, -10, 4 in decreasing order.\nAnswer: 4, 1\/6, -0.2, -12\/19, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26097 and 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.977 in 4, 161, 32\/7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/21 and -67\/46.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1323*d - 1. Let a(j) = 2*j**2 - 28*j. What is a(m(v))?\nAnswer: 3500658*v**2 + 42336*v + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 10*h**2 - 7*h - 8. Let u be s(9). Suppose 0*w - u = -w. Calculate the lowest common multiple of 1 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 1. What is n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 5*w. Let r(f) = 3*f**2 - 7*f. Let h be (0 - 4\/(-8)) + (-28)\/(-8). Let m(x) = x**2 - 7*x + 5. Let k be m(h). What is k*u(a) + 5*r(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 25.247+49.007935\nAnswer: 74.254935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-50)*12\/21.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/288 and -55\/5976.\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n - 1. List the prime factors of j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 6*s + 3. Suppose l - 2*n + 46 = 5*l, -n + 37 = 3*l. Suppose 5*v - l = 1. Let o be v\/(-2)*(-30)\/(-9). What is x(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 1\/8, 6\/31, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*a = -11 + 31. Let h(i) = -2*i + 27. Let w(c) = c - 14. Determine a*h(k) + 5*w(k).\nAnswer: k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5236 = -434. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23194 - -2296132\/99. Find the common denominator of 29\/126 and h.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12916 is divided by 2583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 5*t - 4. Let a be x(-3). Let f be a\/8 + (-10)\/8. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -339?\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -93\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 5\/16*f**4 + 17\/8*f**3 + 9\/4*f**2 - 10*f + 0. Factor b(u).\nAnswer: 3*(u + 3)*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15835a (base 12) to base 10.\nAnswer: 366838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 3*h**2 - 1. Calculate x(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0, 7, -4, 10 in decreasing order.\nAnswer: 37, 10, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 2, a: 1, n: 1, h: 4}. What is prob of sequence ywya?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3696414510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2232\/186*(-2)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3822 by -3.\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -800120085*x**3 + x**2 + 38*x + 1921979 wrt x.\nAnswer: -4800720510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2726, -2612, -2462, -2270, -2030, -1736, -1382?\n\"Answer: n**3 + 12*n**2 + 71*n - 2810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102174269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - 1408*l**2 + 476*l - 3208. Calculate q(469).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 536*p + 4821. Calculate l(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 40377253?\nAnswer: -40377251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (4 + sqrt(252) + 0)) + -3)**2 - ((sqrt(7) - -4*sqrt(21)\/sqrt(3))**2 - (-1 + sqrt(7) + 1)**2)*-3.\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/7 + 219228*f\/7 = 0. Calculate f.\nAnswer: 0, 73076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + (-238)\/(-35))*3\/(-15). Let n(z) = z**3 + 10*z**2 + 10*z + 9. Let j be -2 + (-1 - 4 - 2). Let a be n(j). Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187471115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2441699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (490*a + 1082 - 1082)*(-5 + 5 + a**2) + 0*a**3 - 3*a**3 + a**3 + (4 + 2*a - 4)*(-3*a**2 + 3*a**2 + 2*a**2).\nAnswer: 492*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-20)*-172 - (-4)\/10) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*((c*c**4)\/c)\/c)**(4\/13))**(-2\/9))**(-14) assuming c is positive.\nAnswer: c**(448\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(840\/(-16))*(-27)\/(-2)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/2)\/(2\/(-3)). Suppose 0 = k*x + 4*a - 634, -a - 944 - 105 = -5*x. Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (3 - 4) - 4) + 17 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + h + 6, 3*h - 2 = -x. Let z = -5 + x. Suppose z = -g + 6*g - 20. Solve 5*i - g*y = y + 30, y = -3*i + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 220*m**2 + 6663*m - 178. What is h(-27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 123*s - 19558. Determine j(159).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-38)*(198\/65 - 12\/(-78))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/542, 39, 2, -5, 4?\nAnswer: -1\/542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1162\/5 - 1118\/5. Calculate the common denominator of o and ((-3)\/9)\/((-2)\/(-46)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-16 - -3 - -4) + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 2*c**2 + 2*c. Let v be m(3). Suppose -5*i = -v - 105. Let t = 40 - i. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -776 - -346. Let u be h\/(-550) + (-2)\/(-5). Is u equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2464579061?\nAnswer: 7, 73, 479, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*t + 369.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 34 = o + 2*i, 244*i - 3032 + 692 = -146*i for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 307575, 307315, 307055, 306795?\n\"Answer: -260*t + 307835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f**2 - f**3 - 13\/4*f**4 + 13 + 0*f. Find the third derivative of u(x) wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.87486 - 1647?\nAnswer: -1645.12514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6402, 6398, 6392, 6384?\n\"Answer: -x**2 - x + 6404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(t - 5*t + 6*t) - 3*t - 3*t + 4*t + (-8 + 24 - 7)*(6*t + 29 - 29) to i*t + q and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.200112. Round b to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30197.99985063 + 30198. What is n rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -846134?\nAnswer: 15\/846134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9722366 litres in millilitres?\nAnswer: 972.2366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 18. What is the nearest to -1\/4 in 4\/7, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30281 is divided by 268.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13439, -13442, -13447, -13454, -13463, -13474, -13487?\n\"Answer: -d**2 - 13438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let v be 4 - (-1 - (-3 - 62\/(-1))). Suppose b = 5 + v. Let a(r) = 66 - 14*r + b - 135. Calculate t(a(l)).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -35. Let i be ((-6)\/4)\/(-2 - 15\/p). Suppose 3*h + 2*z = 9, -i*z = -h + 7 + 7. Solve h*w - 9 = 3*x, 0*x - 12 = 5*w + 4*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1016*b**5 - 18*b - 6 wrt b.\nAnswer: -20320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -6)*18\/(-5). Let y be (o\/12)\/((-3)\/(-4)). Let z(v) = -55001*v + 2. Let n be z(y). What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35259116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6526572209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 0)*(-3 - -4). Let i(u) = 6 - 6 - 6 + u**2 - u. Let x be i(5). What is the highest common divisor of h and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*h**2 - 2*a**3*h*w + 3*a**2*h*w**2 - 6*a**2 - 6*a*w**2 - h**3*w**2 - 4372*h**3*w - 7*h*w**2 - 3*w**2 wrt h?\nAnswer: 10*a**3 - 6*h*w**2 - 26232*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 27*s - 18. Let r be b(-28). Calculate the highest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azeqamlm. What is prob of picking 1 q, 1 a, and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-6) + 9)\/(3\/(-1))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + 1 + (0 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + -1167 + 2\/(-2). Let a = y - -721. Let i = a - -773. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 5. Let p be z(3). Suppose 6 = -3*y + d, -y = -4*d - d - 12. Is 37 a factor of y\/p*592\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 12:25 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120 - 120 - 12*l)*(-4 + 3 + 0)*(0 + 0 + l)*(31 + 8 - 16) to r + g*l**2 + i*l and give g.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 - 1. Let i be 40\/(-36) + 1 - (-2)\/18. Let t = i + 4. Let u(a) = a**3 + 1. Determine t*u(d) + r(d).\nAnswer: -2*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -19 + (-4)\/(4\/(-2)). Suppose 3*x = 49 - 100. Let t = x - b. Solve 7*m - 3*m + 16 = t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-227649\nAnswer: -682947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*c**5 + 99*c**3 - 205*c**2 + 5*c - 2.\nAnswer: 4920*c**2 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 2 - 27*w - 29*w**2 + 7*w + 11*w.\nAnswer: -29*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + -6 + (-4 - 2 - -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210154560 and 24?\nAnswer: 210154560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-17 + 17 + (-2 - -3) - -26)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8316275?\nAnswer: 5, 11, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079 divided by -33?\nAnswer: 1079\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538*c**5 + 632*c**2 wrt c?\nAnswer: 32280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*-2)\/(sqrt(56)\/(sqrt(42)\/sqrt(6)) + sqrt(8)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-156))\/((1325\/1400)\/(-53))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2, 20183 = 4*s + 4*j - 59809. What is s rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, b: 3, s: 5, c: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 20768492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93696 - 4684873\/50. Calculate the common denominator of 2\/3 + 143\/15 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkqzzkkq. Give prob of sequence zqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j**3 + 7*j**2 - 80*j**3 - 234*j**3 - 6*j**2 - 466*j**3.\nAnswer: -834*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3119 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132118 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -905\/7. Factor 2\/7*l**3 - d - 2\/7*l + 2\/7*l**2.\nAnswer: 2*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -32*u + 792. Calculate d(25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -50, -89, -132, -173, -206?\n\"Answer: c**3 - 11*c**2 - 3*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 889791 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08149 take away -4451.1?\nAnswer: 4452.18149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(30)\/sqrt(3)))\/sqrt(11)*-3)**2*-2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 95121*l - 856332 = 0.\nAnswer: -9, 31716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130424168756 plus 9?\nAnswer: -130424168747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1773 * -260.\nAnswer: -460980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -24*r**5 - 454*r**4 + 1648*r**3 + 362*r**2 - 1716*r = 0.\nAnswer: -22, -1, 0, 13\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 81686396*k**2 - 163372780*k - 81686388 = 0.\nAnswer: -20421597, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)\/j**2)**(-50)\/((j**(2\/3)*j*j**1)\/(j*j\/(j\/(j*j\/((j\/j**5)\/j)*j))*(j**(-1\/8)\/j)\/j)) assuming j is positive.\nAnswer: j**(15701\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1384, -2709, -4024, -5323, -6600?\nAnswer: -7849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1275\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 216\/15*-5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 23. Which is the closest to k? (a) -8 (b) -0.3 (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.2, 74\/2451 in descending order.\nAnswer: 0.6, 0.2, 74\/2451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cdd34f (base 16) to base 2.\nAnswer: -110011011101001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/158, -3, 304?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:59 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -0.045, 0 in ascending order.\nAnswer: -5, -0.3, -0.045, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6718*t - 13440*t + 6717*t + 17555*t**3 - 17551*t**3.\nAnswer: 4*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -2\/9 (c) -1 (d) -4 (e) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a - 102 = 198. Put 15, 3, a, 4 in decreasing order.\nAnswer: 15, 4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26*(-52)\/(-9464))\/2\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/9 + ((-80)\/240)\/(3\/2). Sort 5, 2, -4, 1, h in increasing order.\nAnswer: -4, h, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -2251 in decreasing order.\nAnswer: 0, -30, -2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, 400958 in decreasing order.\nAnswer: 400958, 24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384\/59 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/322615 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:53 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -16. Let n(c) be the third derivative of -25*c**4\/24 + c**3\/6 - 80*c**2 - 2*c. What is the units digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 3*n + 1. Let v be g(4). Let a be 8\/(-12) - ((-60)\/9)\/v. Solve -4\/9 - 2\/9*b**2 - a*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*k**2 + 10*k**3 + 3 - k + 210*k**2 + 0*k in the form p + u*k + o*k**2 + x*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.1. Let q be (6 + (-20)\/3)*18. Let r = -10 - q. Which is the nearest to -0.2? (a) -0.2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let w(q) = 3*q + 15 - 28 + 17. Determine 4*k(y) + w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t + 336 = 3*k, -7 = -5*t + 2*t + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 53452 = -r, 13*z - 12*z + 160326 = 3*r. Is r a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 1\/4 (b) 2 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c98e + -2?\nAnswer: -c991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 420 + -405. Suppose 24*t = q*t + 108. Let a(k) = k**2 - 4*k - 1. Let i be a(5). Solve 3*l + 3*m = t, l = -2*m - i + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -5*i**6\/72 + 23*i**5\/12 - 15*i**4\/8 + i**3\/3 - 39*i**2. Let s(p) be the first derivative of z(p). What is r in s(r) = 0?\nAnswer: 1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -41.03321815.\nAnswer: -40.53321815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1010 = 5*w, 12 = w - 4*w. List the prime factors of s.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-2)*(-102)\/(-85). Solve -8*g = x*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.5 (c) -1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/2 + 3*n**5\/5 + 17*n**4 + 631*n**3 - 3982. Find the third derivative of c(a) wrt a.\nAnswer: 180*a**2 + 72*a + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185*p**3 + 3530*p**3 - 3254*p**3.\nAnswer: -3909*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 5*f. Solve 0 = -f*j - 3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 - b - 1. Let r = -16 + 10. Let o be (4\/r)\/(12\/18). Calculate the lowest common multiple of 6 and f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 9*x - 147. Let p = x + -47. Find the third derivative of -16*o**p - 3*o**6 + 0*o**2 + 9*o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2. Suppose n = 3*g + 19, 4*n - 2*g - 2 = 6*n. Suppose -r - n*r = 300. Let q = 68 + r. Calculate u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969 - 1254 = -117*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 15*x + 24. Calculate q(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56682178*b**5 - 110391121*b**2?\nAnswer: 3400930680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/30*(-13)\/((-975)\/(-125))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1651147.2 nanoseconds to days.\nAnswer: 0.0000000191105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3*810\/(-12). Let n(a) = -5*a**2 + k*a - 45*a. Let f(y) = -y**2 - y. Let c(u) = 4*u**2 + 5*u. Let b(t) = c(t) + 5*f(t). Determine n(b(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6611824 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11*j + 60*j - 41*j - 178.\nAnswer: 8*j - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2959 and 0.1.\nAnswer: 2959.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(108) + 0)**2 - (sqrt(108) + 0 + sqrt(108) + 5).\nAnswer: 12*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 17*w**2 - 17*w + 195. What is q(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 34 = 3*u. Suppose 13*n = u*n. Suppose n = -3*a - 37 + 283. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/25 and -79\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-27)*(-8)\/28.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 2*v**2 - v + 2. Let n be w(-2). Suppose n = 3*x + 3. Suppose g - 7 = -f - 0*f, -4*f = g - 22. Sort x, -3, g in decreasing order.\nAnswer: x, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 5538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 2*x + 85, 4*t + 4*x = 40. Let a be -4 + 50\/5 - (1 + 3). Solve 0 = t*d - 17*d + a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -79. Let a = g + -29. Solve 0 = 12*w - a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2067 - -2067.06. Which is the smallest value? (a) -1\/4 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005317218 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -98 - 791*m + 1596*m - 778*m. What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -92*v - 7 - 2. Solve 2*f - 4*x + 20 = v, 4*x = 4*f + 21 + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1054 divide 891482686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 7*x - x)*(-4*x + 19 - 19) + 0*x + 2*x**2 - x**2 - x.\nAnswer: 37*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.75 from -1889.\nAnswer: -1888.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 2*n**2 + 13*n - 4. Let f(v) = -v**3 - 7*v**2 + 5. Let j be f(-7). Calculate m(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-3 - (-6 + 1)) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, v: 4, s: 2, o: 1, h: 3, t: 2}. What is prob of picking 3 h and 1 o?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 37*q**3 - 14)*(0 - q + 0) + 2*q**4 + 3*q**2 - 3*q**2.\nAnswer: 39*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*n - 25 = -1, -5*t + 16 = 2*n. Suppose 21 - 6 = 5*u. Suppose 10 = t*m - u*m. Calculate the remainder when 28 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -103, -90, -73, -52, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -574711, -574713, -574715, -574717, -574719, -574721?\n\"Answer: -2*m - 574709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 8 + 7*a**4 - 338*a - 8*a**4 - a**3 + 333*a - a**2 to v + t*a**4 + r*a**3 + q*a**2 + o*a and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 16*s + 6*s - 51*s = 120 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p - 69*p + 50 = 0. Suppose y + 4*y = p. Solve 15 = 3*m, -3*v = y*m - m - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(34)\/sqrt(2)*-5.\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -18. Suppose -k*h - 17 = 2*p - 0*h, -3*p = 3*h + 3. Suppose -v + 2*l - 4 = -20, l = -p*v + 82. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 1153428?\nAnswer: 10380852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + m**2 - 5*m**2 + 9*m + 1 + 6*m as d + g*m**2 + u*m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 266 - 95)*(0*p + 3*p + 0*p)*((-1 + 1 - 2)*(-2 + 2*p + 2) - 6*p + 2*p + 3*p - p + 3*p - 4*p + 0*p - p + 2*p + (-3 - 1 + 5)*(-2 - 2*p + 2)).\nAnswer: -6720*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106947936211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 - -5700?\nAnswer: 5574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 26913\nAnswer: 2\/26913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*c + 3)*(-1 + 2 + 3)*(-15 - 70 + 1)*(0 - 4 + 8) to i + b*c and give b.\nAnswer: -2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2805 and 99.\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 + 500*b**2 + 972*b - 1476 = 0. What is b?\nAnswer: -123, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**3 + l**2 - 10*l - 4. Let h(n) = 4*n**3 - 3*n - 1. Let m(t) = -3*b(t) + 8*h(t). Let x(p) = p**2 - p - 1. Determine m(k) + 4*x(k).\nAnswer: -k**3 + k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1261 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*d + 324 + 897. Suppose 266 = -d*p + 794. What is the remainder when p is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6582 = -6*a. Let w be (-4)\/30 + a\/90. What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4601, -4761, -5027, -5399?\n\"Answer: -53*t**2 - t - 4547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 36*n**2 + 2042*n - 565. What is b(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8194.651 centuries in millennia?\nAnswer: 819.4651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - i**3 + 160 + i**2 + 3*i**3.\nAnswer: 2*i**3 + 2*i**2 + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 104*b**2 - 93*b**2 + 145*b**2.\nAnswer: -52*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*p + 4, 2*p + 2*f = -f + 18. Suppose 3*q = 4*j, p*q + 28 = 7*q + 4*j. Suppose -s - 3*y = 0, 3*s - 2*y = 2*s. Solve -q = -4*l - s*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(77)*1 + sqrt(77)))\/((sqrt(1375) - sqrt(55))\/sqrt(5))*1 + -3)**2 + -2.\nAnswer: 14 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3. Let p be 48\/(-54) - (-4)\/(-36). Let r(q) = -15*q**3 + 6*q**2 + 9*q - 6. Let v(m) = p*r(m) - 6*u(m). Factor v(g).\nAnswer: 3*(g - 1)*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 3. Let j be b(4). Let d = 15 + j. Suppose -w = w + d. Is 2 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -26. Solve -4*a - 5*f = -4*f + 13, -2*f - 10 = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -659, -658, -657, -656?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-24)\/15)\/((-24)\/20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 3*q + q + 3*q - 5 + 5 - 3*q - q + 2*q + (-2 - 1 + 1)*(q - 2*q + 0*q) + 5*q + q - 4*q + (-2 + 5 - 1)*(2*q + 0 + 0) - 40*q + 61*q - 107*q - 17*q.\nAnswer: -95*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14220046 divided by 8?\nAnswer: 7110023\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12228756 - 12228756 + 3687*n)*(2 - 2 + n**3) + (-5*n**3 + 4*n**3 + 0*n**3)*(0*n + n + 0*n).\nAnswer: 3686*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1856.56554 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 249725 = 4*c, 11*z = c + 13*z - 62441. What are the prime factors of c?\nAnswer: 5, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -218 (c) -201 (d) 2 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 617256630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 9. Let w(u) = 4. Suppose -105*g - 227 = -17. Calculate g*r(n) + 5*w(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10108)\/7942*1881\/(-18).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 4, 2\/59, 0.07?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 284\nAnswer: 6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, z: 4, g: 2}. Give prob of sequence rrzr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-56)\/16)\/(1\/2). Let t = 72 - h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w + 3*s, -10 = -2*w - 2*s + 6. Suppose 6*r - 270 = w*r. What is the highest common divisor of 60 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 3. Let x(q) = 15*q + 21. Let i be x(-1). Calculate k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13677595 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgdggddd. What is prob of sequence ggg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -26\/23 + 26\/23*i**2 + 2\/23*i - 2\/23*i**3 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 61 + 787. Let f = -76 - c. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 1849*w**2 + 1850*w.\nAnswer: -w*(w - 1)*(w + 1850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 2*v**2 - 5*v. Let s = -4 - 1. Let o(u) = 4*u**3 - 3*u**2 + 6*u. Let k(y) = s*o(y) - 6*t(y). Find the third derivative of k(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2160 - 7067 = -7*l. What is the remainder when l is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50564630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -95. Let g = t - -76. Suppose -5*b = -v - g, 0 = 4*b + 2*v - 9 - 13. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 2066*u - 163836.\nAnswer: 2*(u - 74)*(u + 1107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 950 + 1. What are the prime factors of g?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 27*v**2 - 4*v**3 + 5*v**3 + 11 to the form k*v + a*v**2 + r + l*v**3 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2592135084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2 - 2*y - 1. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 30*p + 1. Suppose 3*s + 5*w = -9, s - 5*w - 8 = -3*w. Let n be d(s). Let l = -42 + n. Calculate the highest common factor of l and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 56. Let r be t(10). Solve 15*d = r*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2828)\/(-42)*29\/(-290)*15?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 5*o**4\/4 - 7*o**3\/3 + o**2 - 4. Factor y(a).\nAnswer: a*(a - 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u - 59*u + 60*u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {e: 2, q: 1, u: 6, z: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {r: 2, p: 2, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -10 - (-58 - -114)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-73472)\/480)\/82)\/(-7).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose 5*y - 356 = 2*p, -t*y = -4*y - 4*p - 82. Suppose -y = -7*s + 2*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 319936203, 319936204, 319936205, 319936206, 319936207, 319936208?\n\"Answer: m + 319936202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j**2. Let f = -5255 - -9892. Let t(n) = -f*n - 2*n**2 + 4637*n. Calculate t(g(l)).\nAnswer: -162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:26 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*o**4 + 113*o.\nAnswer: -312*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 17.5.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.5 - -19.56. Let d = -0.06 + z. Put 5\/2, d, 3\/4 in descending order.\nAnswer: 5\/2, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 36842429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 100 = -14*u - 15*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6674741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 6*c - 4*c**3)*(-2*c + 10 - 10).\nAnswer: 8*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*p**2 + 31*p**2 + 30*p**2 + (-1 + 5 - 5)*(2*p**2 - p**2 - 3*p**2).\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = 5*k, 3*o - 7 = 3*k - 1. Let y = 0 - o. Solve -4*n = 2*b - 12, -3*n + 8 - y = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/1450*(-46603)\/120525?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.01 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5193*g**2 - 23080*g. Let c(b) = 2*b**2 - 10*b. Determine 6924*c(m) - 3*h(m).\nAnswer: -1731*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*w - 6*w. Let m be 58\/w + 11\/(-77). What is the remainder when 35 is divided by ((-90)\/20)\/((-2)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, o: 2}. What is prob of picking 1 o and 1 b?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 138*i**2 + 204*i + 210. Determine d(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*l**4*n**3 + 45*l**3*n - 7*l*n**3 + l*n**2 - 15*n**3 + 78*n**2 wrt l.\nAnswer: 1092*l**2*n**3 + 270*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = s - 2*s, 0 = k - 5*s + 17. Suppose -k*o + 9 = -3. What is the third derivative of o*a**4 - 3*a**4 + 0*a**4 + a**2 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15589998 to the power of 1\/2, to the nearest integer?\nAnswer: 3948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648)\/189*896\/(-192).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12087 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65622163.\nAnswer: 607, 108109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - 2. Let j be w(0). Let n = j - -6. Solve -n*q + 2*p + 3*p = -9, -q + p = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 81.8. Let x = 987450.4 - 987452.6000036. Let h = x + m. What is h rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -7*w + 5*v + 78, -4*w - 144 = 4*v. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 1.599.\nAnswer: -60.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m - 15, 95*m = 96*m + 4*a + 20. Let i(k) be the first derivative of m*k - 4\/15*k**3 - 2\/5*k**2 - 1\/20*k**4 + 4. Factor i(n).\nAnswer: -n*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -3*h - 8 + 20, -2*h = -z - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1887970937 - 0.8?\nAnswer: -1887970937.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, y: 1, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005396 to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/7 - 86\/(-602). Suppose -6*o = -4*o. Solve -2*a - k - 3 = o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960624.7 decades in years?\nAnswer: 9606247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 37179.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 1320*w + 97 = 1319*w, 10*q - 3*w = 12*q - 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + 0.15. Let b = -0.04094 - d. What is b rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44680.\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517 + -2065\/4. Which is the nearest to 1\/5? (a) -6 (b) 1 (c) -2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7) + (-116195)\/4760 + (-6)\/(-48).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + s = -o + 30, 2*s = -4*o + 112. Let n = o + -22. Suppose 0 = -5*d + 2*d. Solve d = n*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1379 + 4082\/3. Find the common denominator of (-1)\/3 + 372\/(-126) and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31701, -63570, -95601, -127794, -160149, -192666, -225345?\nAnswer: -258186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 6. Let y be l(-13). Let g = 21 - y. Factor 4\/5*f**3 + 2\/5 - 2\/5*f**4 + 0*f**g - 4\/5*f.\nAnswer: -2*(f - 1)**3*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 165416 + 4*t**3 + 165416 - 20*t**2 + (5*t + t - 4*t)*(-5*t + 2*t**2 + 5*t) + t**3 - 2*t**2 + 2*t**2 to q*t**3 + h + c*t + y*t**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 4 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 52\/207 (b) -1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 250\/25 + 5743*4\/(-2256) and -109\/14?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-2*sqrt(324) - sqrt(324)).\nAnswer: -sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1389, 2777, 4165, 5553?\n\"Answer: 1388*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17979371 and 4215?\nAnswer: 17983586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 200.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 89998. Let u be w - -1 - (5 - 3). What is u rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 12*u - 548. Let f = -265 - u. What is the remainder when f is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 102. Let c(a) = -a**2 - 6. Calculate s(c(h)).\nAnswer: -2*h**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*v - 5*h**2*y - 19*h*y - 4*v*y - 2*v - 34*y wrt h?\nAnswer: 2*h*v - 10*h*y - 19*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + 0 + 1 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240895.7m to micrometers.\nAnswer: 240895700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*z - z, 0 = 4*f - 5*z - 40. Let g(s) = 9*s**2 - 5. Let y(p) = 22*p**2 - 12. Let n(c) = f*y(c) - 12*g(c). Let x(q) = -5*q. Determine x(n(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - 5, 4*u - 20 = y. Suppose a + 5*f + 7 + 20 = y, 2*a - 4*f - 16 = 0. Let k = -78 - -78. Sort -3, a, k in decreasing order.\nAnswer: k, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9695647074 to the power of 1\/3, to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 5. Let w be t(5). Suppose -2*r + 6*r - 40 = 0. What is the highest common factor of w and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 18*w**2 - 2*w**2 - 9*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136031 to five dps.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -1, -552.8, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35985 by 7197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 + 5*t**3 + 4*t**2 - 4*t + 4*t.\nAnswer: 5*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 626119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575920 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-3)\/(9\/33). Suppose 86 = 4*j - 3*o, o - v = -j - 2*o. Solve -w + 5*w + j = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.6 + -0.4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i + 7*i + 83*i - 17 + 34 + 22 in the form f*i + p and give f.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o + 2 = -3*i, 4*i + o = 4. Suppose -5*c + 4 + 13 = i*l, 5*c - 21 = -l. Let w be 19 - (0 + 1 + l). Calculate the highest common factor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34133669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -143269\nAnswer: -2\/143269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.045571 - 438.824429. What is d rounded to the nearest ten?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 1. Let g(a) = a**2 + 4*a - 2. Let n(f) = g(f) - 2*o(f). Let t be n(-4). Suppose 29*j - 223 = t*j. What are the prime factors of j?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-218)\/(-327))\/((1 + 0)\/18). Suppose 5*l = -u*l. Solve -3*v + l + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177552 and 88776?\nAnswer: 177552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4359*n + 5623 - 5623 to i*n + m and give i.\nAnswer: 4359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Let z(w) = -149*w + 1. Determine z(p(y)).\nAnswer: 298*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031 (base 4) to base 12.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*y**5 - 11*y**3 + 5509*y?\nAnswer: -360*y**3 - 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188505 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 * 21.\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 1, g: 2}. Give prob of picking 1 j and 1 s.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 81 - 82 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31844 and 2.7.\nAnswer: 85978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 95*r**2 + 693*r - 261. Let w be y(-87). Find m such that w + 16\/15*m**2 + 2\/5*m**3 - 4\/15*m**4 + 2\/5*m = 0.\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*a**5 - 329*a**4 + a**3 + 33923*a**2 - 2 wrt a.\nAnswer: 1680*a**2 - 7896*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/4 + 11\/((-44)\/(-96)). Which is smaller: 26 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/5 - -3\/5. Sort -1.2, k, -1\/3, -4 in decreasing order.\nAnswer: k, -1\/3, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q - 2*q - 11*q)*(-2*q - 10*q + 7*q - 2).\nAnswer: 145*q**2 + 58*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 21.6?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677288068 to the power of 1\/3, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*n + 65, 4*p - 112 = 2*n - 3*n. Let b = p + -11. Suppose 0 = -5*t - 5 + 25. What is the greatest common factor of t and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 85*a**2 + 1343*a - 5213. Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 3.95. Let z = i + 0. Let q = -1.19 - -1.09. Is z <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {j: 1, v: 1, u: 18}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*p + 20, 5*l - 3*p = 2*p + 190. Suppose 0 = 3*q + 2*d - 18, 5*q + 6*d - l = d. What is the remainder when 59 is divided by 2\/q*(-2 - -32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 1 (c) -0.22 (d) -282\/89 (e) 2\/11 (f) -4 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -0.1 (c) -1\/183 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*27\/(-576)*4. Let u(o) be the second derivative of 0 - 1\/8*o**3 - s*o**4 + 5*o + 3\/80*o**5 + 9\/8*o**2. Solve u(c) = 0 for c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6286 + -4733. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.2 (c) 0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 412 = 11*w + 4*g, 5*w - 2*g + 31 + 106 = 0 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Suppose i*k - 1 = 9. Is (6 + 2 - k) + -1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t - 1. Suppose n + 3*m = -2*m + 11, -5*n + m + 3 = 0. Let x(k) = 7*k**3 + 2*k**2 - 6*k - 6. Determine n*x(g) - 6*d(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (47 - 34) - (-6 + 97 - 4).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-484)\/(-176))\/(88\/136)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 + 93*w**3 + 3489?\nAnswer: 8*w**3 + 279*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(2\/7)*((r*r\/((r\/r**(-2\/7))\/r)*r)\/r)**31 assuming r is positive.\nAnswer: r**(745\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 896496970 divided by 179299394\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358974 and 25530?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/8, -0.1, 1\/10637, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) 2\/11 (c) -81 (d) -1\/7 (e) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 455011221 to the power of 1\/2, to the nearest integer?\nAnswer: 21331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27.43 in 102, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 25, -10*m = -3*m + 3*q - 190. Solve m - 65 = -8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - (-3 - -2). Let d be (f - 23)*4\/12. Let p(n) = -n**2 - 7*n - 4. What is p(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*t + 10*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*p - 3*z + 61, -p + 4*z = 38 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110 - -1001111101101?\nAnswer: 1010011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/35)\/(4\/14). Solve 5*p = 9 - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8552*v - 59644*v - 7500*v - 19130*v.\nAnswer: -77722*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -8418. Suppose n = w + 1096. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/51756 and -37\/2090.\nAnswer: 2846580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 810890 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*n = -2*h - 653*n - 12, 5*h = 2*n - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 38*v + 79. Determine k(27).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvbbbtbbrb. Give prob of picking 2 v and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 2882\nAnswer: -144.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -233?\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32876*k**3 - 10679*k**2 wrt k?\nAnswer: 197256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 33 = 57*n - 53*n, f - 34*n = 42 - 199 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3602*h - 39534. Determine t(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -22, -2, -5 in descending order.\nAnswer: 9, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4697 and 19250.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 10) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u + 927 = 7459 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i + 14*i - 16*i)*(i - i**2 + i - i**2)*(6 - 6 - 3*i).\nAnswer: 60*i**4 - 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14.8*-0.5\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999171 = 8082*r + 6831*r for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91401643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-128)*346\/11. Let b = z + -89\/8. Let k = -1917 - -21060\/11. Calculate the common denominator of k and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {o: 7, w: 2, p: 3, t: 7}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*d - 275*d = -18 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjajaajjjjaj. Give prob of sequence jaj.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80828.\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/15 + -3\/5. Factor -4\/3*o - 4\/3*o**3 - 2*o**2 - 1\/3 - w*o**4.\nAnswer: -(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 11. Calculate the least common multiple of 18 and ((-12)\/(-8))\/(j\/(-24)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373671*v + 8*v**3 - 373671*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - u**4 + 4*u**4)*(-1 + 0 + 3*u - 1).\nAnswer: 18*u**5 - 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244634 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/20 + z**4\/3 - z**2 - 59*z + 1. Suppose 2*j + 3*j - 4*h = -24, 0 = 5*j - 3*h + 23. What is l(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215382234 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, -0.5 in descending order.\nAnswer: -0.5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -40228*k. Let s(x) = 7*x - 4. Calculate m(s(z)).\nAnswer: -281596*z + 160912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) + (-108)\/(-10). List the prime factors of (11\/(-2) - -1)\/(v\/(-154)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 bigger than 251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*q = 120, 18 + 55 = 2*w - 3*q. Suppose 2*g + w - 45 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -3 + 19. Let z be (v\/9)\/(2\/(-3))*-9. Solve -32 = -5*n - 4*q, 4*n - 3 - 4 = z*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 31*b - 491. Let c be q(-44). Calculate the highest common divisor of c and 2349.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + q**3 + 1 + (q + 0*q + 0*q)*(6*q**2 - 2*q**2 - 2*q**2) + 0*q**3 - q**3 + 0*q**3 in the form s*q**3 + o*q + l + a*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/80*-4*(-1)\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -70*c**3 + 563*c**2 - 514*c + 21 = 0.\nAnswer: 3\/70, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3*(4 + -3). Solve 5*i = 2*a + 5, -w*i = -3*a - 7*i - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**4 + 4028965*p**3*r + 11*p**2*r - 5*p**2 + 617630*p*r wrt p.\nAnswer: -96*p + 24173790*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 16*o**2 + 13*o - 5. Let y be l(-15). Let x = 28 - y. Solve r + 4*w = 11, 3*w + x = 3*r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(9025\/(-38)))\/((15\/(-6))\/5)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - p - 24, 2*i = i + 5*p - 24. Let y = 6 + i. Let w be ((-2)\/y)\/(1\/3). Solve 7*x - 4*x + 8 = w*l, 4*l - 16 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59912996, 59912993, 59912990, 59912987?\n\"Answer: -3*w + 59912999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (-12 - -29)) + -18 + 2 + 64\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 15*q**2 + 6*q + 9. Suppose -o + 21 = 2*o. Let b be f(o). Find the first derivative of -1 - 27*n**2 + 17*n**b + 2 wrt n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a - 9*a**2 + 0*a + 5 - 2*a + 5*a. Let k(s) = 5*s**2 - s - 3. Let o(d) = 5*k(d) + 3*v(d). What is the second derivative of o(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*b**2 + 2*b - 123*b**2 - 2*b**3 + 3*b**3 to y + p*b**2 + q*b**3 + a*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-406)\/56)\/((-2)\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 5:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -52.1. What is the closest to s in 4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/48)\/(392\/1568)*-282?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36602803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*t**3 - 9*t**3 + 24*t**3)*(-2*t + 3*t + 0*t) + 0*t**4 - 2*t**4 + 0*t**4.\nAnswer: 31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + u + 12. Let d be u\/(-1) + 100\/70. What is the closest to d in 2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggbbggggbggggggg. What is prob of sequence bg?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.88344 rounded to 2 decimal places?\nAnswer: -69.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1215*n - 276 + 276 + 8010*n.\nAnswer: 6795*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 2*a)*(a**3 - a**3 - 2*a**3) + (176 - 15*a**2 - 176)*(5 - 5 - 2*a**2).\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 - 2*k + 2. Let g be q(0). Find the third derivative of -2*l**2 - g*l**6 + l**6 + 7*l**2 - 8*l**6 wrt l.\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 130\/91 + (-4)\/(-7).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-15) + 16\/5 + 2. Let j be (38\/(-8) + z)*20. Solve 4*r = 7*r + a - 9, -j*r = -5*a - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04361573 rounded to 5 dps?\nAnswer: 0.04362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -0.3 (c) -0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2104 (base 7) to base 9.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -2*h**6\/15 - 43*h**5\/5 - 535*h - 1. Solve v(c) = 0 for c.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 319*v**3 - 24*v - 1 + 323*v**3 - 2*v**4 to the form x*v + i*v**3 + q*v**4 + r + f*v**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 46 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 41.4. What is the third biggest value in -0.2, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + w**2 - w. Let d be n(1). Let b(p) = -7*p + 3 + 32*p**2 + 1 - 33*p**2 + 7*p. What is b(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1377.70906 to 1 decimal place.\nAnswer: 1377.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1256 and 67510?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3853 + 3877. What is the smallest common multiple of 234 and i?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423135 (base 14) to base 4\nAnswer: -20202002323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlhwlh. What is prob of sequence hlhl?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 35 + -10 + (27\/(-12))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*v**3 + 222 - 222 - 1059*v**3 - 1635*v**2 wrt v.\nAnswer: -4824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5569 - 5567. Let o = 1 - 1. Which is the nearest to o? (a) 1\/3 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.25349ml to litres.\nAnswer: 0.05025349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d + 18\/7*d**2 + 22\/7 + 2\/7*d**3.\nAnswer: 2*(d - 1)**2*(d + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2. Let c(q) = 5*q + 45354. What is c(g(r))?\nAnswer: 15*r**2 + 45354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 6144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/5 + 2*a**3\/5 + 8*a**2\/5.\nAnswer: -a**2*(a - 4)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 346985\/79849 - 57\/7259. Let x = v - -2381\/1386. Find the common denominator of 9\/14 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kqfls?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*2\/(-3)*1 + 619.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*o - 24 = 0, 2*k - 48 = -3*k - 3*o. Solve k*t + 5 = 14*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.24, -1, 2\/9 in descending order.\nAnswer: 3\/2, 2\/9, -0.24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 3.8 (c) 1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06475 to three dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h**2 + 4*h - 4. Let x be g(2). Let t = -11 + x. Is (t\/(-28))\/(-9) + 1385\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1713 + 2637. Is 66 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124.3 - 133. Let m = x + 8.5. Are 0.11 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 20 = 0. Suppose 0 = -d*b - 10*b - 9758000. Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7200\/(-270)*48\/128?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from gigegygyyvygiyyyqqg.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16507 - 16491. Solve 0 = -2*p - 23*a + 22*a - 4, 4*p = 2*a - j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8) + 2 - ((-96138)\/(-420))\/109.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -106.717 and -10300269.\nAnswer: -10300375.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 25*t - 28. Determine p(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1249.413 centuries to decades.\nAnswer: 12494.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-189)\/1617)\/((-15)\/120 - 235\/(-56))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555796 + 219*i**2 + 555796 + 461*i**2.\nAnswer: 680*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 8 = 0. Suppose 5*y = -5*z + 45, 16 = -3*y - 2*z + 44. Solve -b = -4*v + y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.22983 from 5927345.\nAnswer: 5927345.22983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 11 - 2 = 0. Let c(g) = 20*g**2 - 8*g - 7. Let u(s) = 21*s**2 - 9*s - 9. Let k(t) = 4*c(t) - 3*u(t). Let w(d) = -4*d**2 + d. What is j*w(i) - 2*k(i)?\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 11. Let b = z - 13. Suppose 130 = -b*c + 7*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/36*(0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687171031 to the power of 1\/2, to the nearest integer?\nAnswer: 26214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 7, 0, 236, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Sort 3, 4, u, -3 in decreasing order.\nAnswer: u, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-11\/2)*y)\/y**(1\/20))**(-6))**(-32) assuming y is positive.\nAnswer: y**(-4368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r. Let w = -6 - -8. Let f = 5 - w. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 18 + -3 + -7 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 - 5*z - 6. Let f be c(6). Let j be 2 + 0 - 1 - -1. Suppose -g + 0 + j = 0. Solve -13 = 3*i + x + x, f = -5*i - g*x - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.75 and 21?\nAnswer: 21.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -19. Let r = 9.1647 + -0.1622. Let x = m - r. Round x to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 52. Give s(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*3*4)**2 + sqrt(396) + sqrt(396) + sqrt(396) + (0 + sqrt(396))**2 + 0 + (-6*(sqrt(396) + 0 + 3)*-4)**2)*-2.\nAnswer: -581400 - 41508*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7393*s - 59156. What is z(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -120660, -0.2, 3, -0.4, -18?\nAnswer: -120660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/4*36\/(-54)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)**(5\/14)\/((k\/(k*k\/(k*k*k\/(((k**(-1)\/k)\/k)\/k)*k*k)))\/k)**25 assuming k is positive.\nAnswer: k**(-2435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - 3*(1*sqrt(102) - sqrt(102)))\/(-4*sqrt(24)) + (5 + sqrt(68)\/sqrt(4))*-3*-5 + -3.\nAnswer: 119*sqrt(17)\/8 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -4, 8, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16771, 33631, 50595, 67663?\n\"Answer: 52*z**2 + 16704*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 18 = -5*b + 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r. Let n(j) = 15573666*j + 1. What is k(n(z))?\nAnswer: 109015662*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/16)*s**4)\/((s*s*s\/(s\/(s\/(s\/(s\/s**(-7)*s)*s*s))*s)*s)\/(s\/s**5*s)))**(-32) assuming s is positive.\nAnswer: s**254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -222*t - 11. Let r be k(-5). Let m = r - 539. What is m rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose l*v - 71 + 21 = 0. What is the remainder when 72 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 4*a = 10*m + 2413, 0 = -4*m - 5*a + 9631. List the prime factors of m.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11900 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6706*b**2 - 15*b - 18. Is t(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 1417 + 2119 = 0. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10)*(-196)\/(-49))\/((-20)\/(-190))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -60. Suppose -v*x + u - 681995 = 0, -2*x + u = -4*x - 682005. What is x rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -587851473*z**4 + 2*z**2 + 551735826*z?\nAnswer: -14108435352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.2 * -5\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5376336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (0 + 3 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 855089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 65*o - 3 + 1 - 143*o - 166*o to w*o + s and give w.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.1, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2939*m - 37 + 2941*m + 299 + 661 - 6*m + 1 - 1 + (-m + 5*m - 3*m)*(1 + 1 - 1) + 4*m - 2*m - 4*m.\nAnswer: -5*m + 923","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 123385?\nAnswer: 123383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 2. Let p(h) = h**2 - 9*h - 6. Let l be p(0). Give s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2715\/4 - -684. What is the common denominator of 21\/4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6095380*g**3*v**3 + 13*g**2*v - 27281*g*v**3 wrt g.\nAnswer: -36572280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7158*s**2 + 12*s + 5. Suppose 4*c = -t - 0*t - 28, 3*t + 5*c = -56. Let h be j(t). Let z = h + -682613. What is z rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - h - h)*(-h**2 - 3*h**2 - h**2) + h**3 - h**3 + 2*h**3 to the form o*h**3 + y*h + j*h**2 + p and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = -4*p + 1, 0 = 4*p - j + 14. Is -2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100282 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 782235 less than -0.4?\nAnswer: -782235.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 10039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeeeeerrrrere.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 225*v**5\/4 - 1146615*v**4\/2 + 76384*v**3 + 1141519*v**2\/2 - 305761*v\/4 + 2548 = 0.\nAnswer: -1, 1\/15, 1, 10192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 29 = -a. Is -1 + 1 + (7 - a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*r + 1344 = 735*r. Solve -4*u = r*t - 28, 5*t + 24 = 7*t + 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**28 assuming d is positive.\nAnswer: d**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6*b = -1148400110. Suppose 4*v - 5*d + b = 0, v + 5*d = 9*d - 26100008. What is v rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3077 - -4453. Suppose -2*i + g = 3*x, -2064 = -2*i - i + 4*x. Suppose 4*z - 2476 + i = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 44970.\nAnswer: 179880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727499 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 66*l + 17*l**2 + 1 - 68*l + 0*l**2. What is the units digit of g(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/78)\/((-8)\/(-12)). Let t = -2.6 - -3. Put -1, t, j in increasing order.\nAnswer: -1, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 21. Let w be g(-8). Suppose -4*q + w = n, -3*n = -3*q + 10 + 32. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/9792 and -103\/272.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390 - 394. What is the third biggest value in 3\/5, z, 14?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*w**2 - 97*w**6 + 307*w**2 + 6*w**3 - 177*w**6 - 4*w**3 wrt w.\nAnswer: -32880*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -512, -511, -510, -509, -508?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**4 + 5*k**3 + 64*k**2 + 67*k - 5. Let w(t) = 4*t**4 + 4*t**3 + 64*t**2 + 66*t - 6. Let p(b) = 5*w(b) - 6*x(b). Factor p(n).\nAnswer: 2*n*(n - 9)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23618 and 10388.\nAnswer: 2503508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)*g\/(g*g**(3\/2)))**(8\/9))**(7\/6) assuming g is positive.\nAnswer: g**(-154\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2142948875 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 86*c**2 + 647*c - 404. Calculate t(-93).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -121. Let q = -53.9999563 - t. What is q rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 116.\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 13*j**6\/720 + j**5\/40 + j**4\/3 + 8*j**2. Let z(o) be the second derivative of v(o). What is the derivative of z(t) wrt t?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-57)\/45)\/(24\/(-140)) and 37\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*f - 221*f - 37 = -5*w, 3*f = 7*w - 46 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64768.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23236938?\nAnswer: 2, 3, 197, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekf when three letters picked without replacement from fekkvmefefekeekmf?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 - c. Let v be s(-7). Let l = 3 + v. Suppose 0 = -0*i + 2*i + l. Let b(z) = z**2 + 4*z - 6. Determine b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 - 93*j + 576. Let i(c) = 20*c**2 - 280*c + 1728. Let o = -54 - -51. Let g(k) = o*i(k) + 8*f(k). What is h in g(h) = 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/6*190\/(-12825)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q**2 - 73*q - 2. Let k be f(11). What is the greatest common divisor of k and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 96*u + 173. Give c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7, 1, 3675\/8, 0 in ascending order.\nAnswer: -0.4, 0, 1, 7, 3675\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*g**2 - 2*f*g*y**2 - f*g + 95289*f*y - 31*g**2*y**2 + 5631953 wrt y.\nAnswer: -4*f*g*y + 95289*f - 62*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:12 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:19 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let t = c - -2. What is the remainder when 13 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 1, -8782, 2 in descending order.\nAnswer: 4, 2, 1, -2, -4, -8782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*o + 1 - 5 + 156*o + 3.\nAnswer: 49*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 165. Let n(h) = -h**3 - 8*h**2 + h + 5. Let b be n(y). Let d(i) = 8 - 2 + i**2 - 7*i - i. Determine d(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*r - 15, -24 = r + 4*q - 0*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 125 + 5*s**2 + (2*s + 0*s + 0*s)*(s + 1 - 1) + s**2 + 0*s**2 + s**2 + 82*s**2 + 41 - 41)*(-2*s - 2*s + 2*s).\nAnswer: -182*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 17. Let d(z) = 12*z + 185. Let o be d(-15). Calculate the lowest common multiple of o\/(75\/504) + 18\/45 and w.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9198? (a) 0.4 (b) -4 (c) -2.7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -0*k. Let m be (k - -1)\/(-1 + -1). Suppose 6*u - 3*u - 39 = m. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*y - 158 = 2*y, 3*i + 2*y + 466 = 0. Let a = 244 + i. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7179, 28841, 64987, 115617, 180731?\nAnswer: 260329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*o + 115*o + 53*o**3 + 4*o**3 - 4*o + 4*o + 3 - 3 - o**3 + (-3*o**2 + 0*o**2 + 4*o**2)*(-2*o - 3 + 3))*(-2*o - 3*o + 6*o).\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 + 5012\/(-22). Let q be -1 + (-7)\/(21\/g). Calculate the highest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - -4.63. Let y = -4 + k. Which is the smallest value? (a) -2 (b) y (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3005337*l**3 + 4617171?\nAnswer: -9016011*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a hour in seconds?\nAnswer: 63900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:26 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6*g - 2*g + 35, -4*p + g - 15 = 0. Let a be 0\/(2 - (-1 - p)). Suppose a = -4*t + 24 + 4. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3\/6*8. Let z be (-3 + 0 + (-5)\/(-2))*n. Solve 6*t - 4*t + 2 = z, y - 3 = -t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 15*h - 7. Let v(r) = -2*r**2 - 8*r + 3. Let d(b) = -3*s(b) - 5*v(b). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205250558.\nAnswer: 2, 102625279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30995, 57802, 84609, 111416, 138223, 165030?\n\"Answer: 26807*d + 4188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*f - 11 = 0, 8*o - 4*o + f = 23. Solve o = -2*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1145\/19 smaller than -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-7)\/(21\/24). Suppose 4*q = -4*g, 5*q + z + 14 = 4*g. Solve g = -2*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9412.407 years in millennia?\nAnswer: 9.412407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4a091 (base 14) to base 5\nAnswer: 21244411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 225 = -w, 0*f + 2*w = -2*f + 98. Let k = -23 + f. Let o be (-7)\/(k\/(-18))*1. Solve 18 = -3*z + 3*m, -5*m - o = 4*z - 0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**3 + 634*i**2 - i + 24081?\nAnswer: -30*i + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 33117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-37))**(-1\/18) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v + 206 = 0, 0*g + g + v + 34 = 0. Let p = -73 + 14. Let i = g - p. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose w = a - 2*a. Suppose a = 3*t + t - 8. Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:43 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ec + -1?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15*q = -18*q - 30, 14 = 2*m - 4*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/40824 and -151\/6?\nAnswer: 40824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 = 347*k - 195 + 1342. Put -143, -1.3, k in increasing order.\nAnswer: -143, k, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14719 + 14723. Solve -4*o - 4 = -j*h, 12*o + 2*h + 6 = 10*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425 divided by -2?\nAnswer: 1425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19325778.999759 + 19325790. Let n = d + -11. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22868551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/2, -0.4, 1811?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19583549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**(-1\/7))\/((r**(-12)*r)\/r**(-11\/2)) assuming r is positive.\nAnswer: r**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 b when four letters picked without replacement from cgbbclcbcb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(91)*2 - sqrt(91))\/sqrt(7).\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -89. Let d be 6*h\/12*16\/(-96). Sort 0.2, d, 1\/8, -6 in descending order.\nAnswer: 0.2, 1\/8, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -34584*q. Let g(b) = 11*b. Determine d(g(p)).\nAnswer: -380424*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 3385*u**2 + 697880*u + 39647760.\nAnswer: 5*(u + 93)*(u + 292)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 207 + 12 = 0. Suppose 3*f - 18 = t. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -3, -16, -32.2 in descending order.\nAnswer: 6\/11, -3, -16, -32.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8293892, 16587785, 24881676, 33175565, 41469452?\nAnswer: 49763337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27711 is divided by 9023.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381557?\nAnswer: 11, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149\/65 - 22\/13. Let s = -1.65 - -1.25. Put 1, s, 2\/13, f in increasing order.\nAnswer: s, 2\/13, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277519439 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: What is (-1)\/(3*(-3)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 34*t = 3996. Let n = -444 + t. Solve n*x = -3*x + 2*m - 4, -3*x - m - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51046.75 centuries?\nAnswer: 61256100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -28 + (10 - -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 6. Let j be t(-7). Let a be 0*(1\/j)\/(-2). Solve a = -c - 1 - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 376997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c - 14. Let j be ((-44)\/(-5))\/(c\/10). What is the greatest common divisor of j and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2325583919 to the nearest integer?\nAnswer: 48224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78792473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11143 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 1.19. Let v = o + 1.06. Let g = -0.4 - -4.4. Which is the nearest to v? (a) g (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-70)*(32\/(-40) + 156\/20). What is the nearest to 4 in 1, -0.5, v, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-1\/15)*q*q**(5\/8)\/q*q*q**(-5\/6)*q)**(-44) assuming q is positive.\nAnswer: q**(-2453\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 3*i**3 + 13593 - 27110 + 4*i + 13517.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1213 + 1219 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29724557, 29724558, 29724559, 29724560, 29724561, 29724562?\nAnswer: 29724563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*z + 1 + 3, -3*v + 10 = -5*z. Suppose v = -x + 112 + 50. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 92*z - 94. Is d(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - -1 - (10 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 17990000 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -5\/3, 0.2, -2 in increasing order.\nAnswer: -2, -5\/3, 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8300, 2, 10.4 in decreasing order.\nAnswer: 10.4, 2, -8300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5986 by -5986.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68842.54 centuries in years?\nAnswer: 6884254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 41 = 3*v, -4*v - 2 + 61 = 3*l. Let f = 13 - l. Suppose -u + f + 8 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 8. Suppose 5*x + 1817 = 4*r + 468, 2*r + 2*x - 670 = 0. Suppose -o*s + 547 = 3*p, 4*p = -4*s + r + 396. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -90, -0.7, 0.5, 5, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 2f94?\nAnswer: -2f95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 - b + 17. Let t be y(0). Solve 5*x + t = -4*a, a + 4*x - 2*x = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*q + 26. What is the units digit of (-10)\/(-35) - (-108)\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 17*h + 9. Let r be m(5). Is -2*(-1)\/r*-381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 9*r. Suppose -12 = -3*i + 2*t + 5, r = -5*i - 3*t + 3. Suppose -j + 68 = i*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-26)\/39*3033\/28645\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 85\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -2 (c) 168 (d) -0.049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(5\/(-24555)). Let i = r - -26201\/16. Let f = 47\/112 - i. Which is the smallest value? (a) -3 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2790*m - 2776*m = 658. What is the remainder when (-552)\/(-4)*(1 + -3 + 3) is divided by m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2350*f - 13*f**2 + 32*f**2 - 17*f**2 + 1725*f - 2955*f. Let d(q) = -2*q. Calculate k(d(i)).\nAnswer: 8*i**2 + 7160*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 5*t)*(-t**2 - 4*t**2 + 0*t**2) + t - t + 2*t**3 + (0*t + 0*t - t)*(0*t**2 - 2*t**2 + 3*t**2).\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12184 or -12189?\nAnswer: -12184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173879 is divided by 34730?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69438517 is divided by 2540.\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14348456?\nAnswer: 2, 1187, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010002220111 (base 3) to base 5.\nAnswer: -122430414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27896.8754 - -27895. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j**2 + 231*j - 2. Let c(v) = 22*v**2 - 233*v + 2. Give -2*c(r) - 3*p(r).\nAnswer: -2*r**2 - 227*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-515*n**2 + 302*n**2 - 96*n**2)*(n - 2*n + 3*n)*(-4 + 2 + 4).\nAnswer: -1236*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2. Let n be d(0). Let t = -1089\/10 - -109. Which is the smallest value? (a) t (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17452 times -2?\nAnswer: 34904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29787 - 29784. Let u(k) = 7*k + 8. Let v(o) = -3*o - 4. Let i(f) = 4*u(f) + 9*v(f). Calculate i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 163?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/3)\/a)\/(a**(-1)\/a)*((a**4*a)\/a)\/a*a**(3\/7)\/a*a)\/((a\/(a*a*a**(-1)\/a))**47*(a**1\/a*a)**(-15)) assuming a is positive.\nAnswer: a**(-544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9065120 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2093 and 51\/11417.\nAnswer: 3413683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.134 and 1.1.\nAnswer: 0.1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1665812, -1666177, -1666542, -1666907, -1667272, -1667637?\n\"Answer: -365*z - 1665447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 970, 966, 960, 952, 942?\n\"Answer: -g**2 - g + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 147\/35)*(-1035)\/552?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899, 1525, 2151, 2777, 3403, 4029?\nAnswer: 4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 2*u**2 + 2*u + 1. Let l(v) = -23*v - 8. Let q(p) = -35*p - 12. Let y(i) = -8*l(i) + 5*q(i). Give 13*j(b) - 6*y(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -o + 34. Suppose 0 = -4*i - w + 771, o*i - 2*w = 20*i - 191. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 54 - 222. Suppose -5*o - 267 = 53. Let j = 83 + o. Are g and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103078 is divided by 14723?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 223298 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -24. Let u = -14 + r. Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 12*v - 5. What is the units digit of (v\/(-3))\/(7\/(-609))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34\/15 + 8\/5. Suppose 5*o - x - 5 = 0, x + 3*x = 2*o - 2. Let r be (o - (-4 - -2))\/8. What is the second smallest value in v, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (390\/(-8) - (617 - 665))*9*20.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42312, -43883, -45454, -47025, -48596, -50167?\n\"Answer: -1571*p - 40741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -41*v**3 + 9*v**2 - 2*v + 4. Let z(y) = -42*y**3 + 8*y**2 - 2*y + 3. Let s(r) = 6*f(r) - 7*z(r). What is the second derivative of s(t) wrt t?\nAnswer: 288*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, h: 7, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/2 + 535239*w\/2 + 267620 = 0. Calculate w.\nAnswer: -1, 535240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 1\/54*j**4 + 4\/9*j**3 + 0*j + 0 - 73*j**2 - 1\/135*j**5. Factor o(v).\nAnswer: -4*(v - 3)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 114 = 6*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a + 2. Let l = 240 + -241. Let u be 8*l + (-19 - -25). Give g(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 4) - (3 - 18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u - 30. Which is the second smallest value? (a) -1\/3 (b) -5 (c) 22 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1017 = -7*x + 250. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1478795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -180*o + 2. Let z be g(7). Let k = -249 - z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 31, 11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -244?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -6) + 224\/6. Let o = -40 + k. Which is the biggest value? (a) o (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by (-12)\/((-672)\/(-1498))*(-4)\/1?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*l + 6, 2*l = -3*f - l - 6. Suppose -3*d + 131 - 8 = f. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1.9. Suppose -17 = r - 15. Let x = -233\/4 - -58. Which is the third biggest value? (a) x (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 82*b**2 - 43*b - 42. Let g be r(21). Let t(s) = 6*s + 376. What is t(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -6*s**2\/5 + 126*s\/5 - 228\/5 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (2 + sqrt(19) + 5)) + sqrt(19) - ((sqrt(19) + -3)**2 + 0).\nAnswer: -35 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3594351*c**2*h**3 + c**2*h - 5*c*h**3 - 53952*c + 92*h + 1 wrt h.\nAnswer: 21566106*c**2*h - 30*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1425377 (base 8) to base 16.\nAnswer: -62aff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131222 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 l when four letters picked without replacement from {e: 1, l: 3, x: 16}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -3*o**2 + 0*o + 0*o**3 + 0 + 1\/48*o**4 + 1\/240*o**6 + 1\/60*o**5. Let g(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 3 + -3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2056*g**3 - 732*g - 2 wrt g.\nAnswer: -12336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/17 (b) 6 (c) 4\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 0.45. Which is the nearest to t? (a) 0.3 (b) -1 (c) -5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/140*-1*-4. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 8, n: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -38, -75, -148, -269?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(8) + 0)**2 - (-5 + sqrt(8)).\nAnswer: -sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 5*a**2 - 3*a - 2. Let x be v(-5). Suppose 2*n = 4*d + 2, 2*d - d + 4*n = x. Let u(w) = 141*w + 2. Is 13 a factor of u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36320*o**3 - 2*o**2 - 8119.\nAnswer: -108960*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v + 4*v)*(4*v**2 - 4*v**2 - 3*v**3) - 2*v**4 + 19*v**4 - 10*v**4 + (4*v - 4*v + v)*(0*v**2 + 0*v**2 + 3*v**3).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 98*b + 728. Calculate g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:11 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-539)\/(-10))\/11*28*(-34)\/(-1666)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 4928628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 316*f**3 - 6396*f**2 - 6084*f.\nAnswer: -4*f*(f + 1)*(f + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**5\/9 + 11264*x**4\/9 - 229400*x**3\/9 - 7146640*x**2\/9 + 229396*x\/9 + 7135376\/9 = 0.\nAnswer: -2836, -17, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -445456133\/18 - -24757727. Let m = 10170 - l. What is the common denominator of -97\/20 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 165*r - 169*r, 0 = 3*p - 12. Sort -10, -42, r, -14 in ascending order.\nAnswer: -42, -14, -10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 27284839 - 27284839.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -692*((0 - -4) + 1118\/(-104)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 4, m: 1, c: 4}. What is prob of sequence sscc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l - 3. Let j be w(-4). Let c be (-14)\/(-3)*j\/22. Let p(a) = a**3 + 11*a**2 - 10*a + 3. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)\/h*h**5)**(1\/11)*h**(-3)*h**(-6)*((h*h\/((h*h**(1\/2)\/h)\/h))\/h)**15 assuming h is positive.\nAnswer: h**(609\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4440208540 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 22*b + 319. Let f be h(32). Let s(j) = 7*j**2 + 3*j + 5. Let a(o) = o**2 + 1. Determine f*s(t) + 6*a(t).\nAnswer: -t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*8\/10. Suppose c*n = 3*n. Suppose 0 = -2*m + u + 65, -3 + n = 3*u. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 390*a**2\/7 + 19206*a\/7 + 18818\/7.\nAnswer: 2*(a + 1)*(a + 97)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123250 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342419 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 1 - (510\/25)\/(-6). Let w = -0.2 + 10.2. Which is the nearest to n? (a) 4\/3 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppzzpjzjzj. Give prob of sequence zpzp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369 - -664. Let t(l) = -50*l**3 - 3*l**2 + 3. What is the remainder when s is divided by t(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53692.85 millilitres?\nAnswer: 53.69285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 92. Let m = 6 + -8. Let r(v) be the second derivative of -2*v**3 + 5*v**2 + v. Let b(q) = q - 1. Determine a*b(i) + m*r(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714260584.\nAnswer: 2, 23, 31, 125221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -22. Suppose -2*x = 2*n + 2*n + 2560000, -2560000 = m*n + 4*x. Round n to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 6 + 109 + (-11 - -1). Are 72 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**6\/14 - 6*k**5\/35 - 3*k**4\/28 + 2*k**3\/7 - 14. Determine p, given that w(p) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one eighths of a gram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 16 - 21. What is the common denominator of -11\/10 and (-91)\/(-1352)*(0 - j)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2132\/41*(-2)\/8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -761 + 6847\/9. Sort d, 0.02, -2\/7 in decreasing order.\nAnswer: 0.02, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556759?\nAnswer: 7, 79537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11134*z - 5961 = -17095 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40880 divided by 6\nAnswer: 20440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 2*s**5\/15 - 3*s**4\/8 + 38*s**2. Find the second derivative of p(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65750 and 1390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, -123, -345, -529, -663?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 54. Let c be a\/(-3) - 4\/((-60)\/35). Find w, given that -3\/2 + 3\/2*w**c + 0*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*((-2 + sqrt(243)*-3)**2 - sqrt(243)) + 1 + -2.\nAnswer: -6577 - 297*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221220133 + -2?\nAnswer: 221220131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*f**3 + 705*f**2 + 4553*f + 32 wrt f.\nAnswer: -84*f + 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -39.6. Let z = j + -12. Let u be (4\/(-14))\/((-3)\/7). Which is the closest to 0.1? (a) z (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - 1201331310303?\nAnswer: -1201331311010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 696048 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1211 + -289.\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1412)\/7 - (-4 - (-120)\/28). Let t = m + 204. Solve -t*l + 5 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4387293.8 to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -11*p**2\/9 - 10*p\/9 + 7\/3 = 0.\nAnswer: -21\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + 5 + (-1 + sqrt(13) + 0 + sqrt(13))**2.\nAnswer: -3*sqrt(13) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:02 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*s + 1. Solve 2*c + s*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 2*y**2 - 2*y - 1. Let t be g(-2). Suppose k + 5*v - t = 0, -3*k - 15 = -2*k - v. Is (284\/6)\/((-4)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-28) - 11\/(-4). Suppose -c*q = -2*v - 2*q + 16, -3*q = 6. Let z(f) = -2*f + 11. Let w(m) = -3*m + 21. Let n(s) = v*z(s) - 4*w(s). What is n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 2. Let x be (32\/(-48))\/(34\/(-30) + 1). Put -1, i, x in descending order.\nAnswer: x, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 78?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 2*n**2 + n. Let r be t(2). Let l be 100\/(-30)*(r - (-1)\/(-2)). What is the smallest value in l, 2\/3, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -123*((-30)\/(-120) + 19\/(-12)). Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325467 (base 9) in base 13?\nAnswer: 3502c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(-9)*(-9)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 213327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342058034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 45, 39, 31, 21?\n\"Answer: -a**2 - 3*a + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502.86 - 508. Let a = -0.14 - v. Put a, 2, -0.05 in descending order.\nAnswer: a, 2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(720) + sqrt(5) - sqrt(10)\/sqrt(2)*1).\nAnswer: -5 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21260 + 6*r - 21260.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 32. Let u(w) be the second derivative of -17*w**4\/12 + w**3\/2 + w**2 - 3*w. Let f be u(-1). Let p be h(f). Solve -6 = p*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**0\/u)\/u*u\/((u**(-1\/4)*u)\/u))**(2\/3))**(-2\/27) assuming u is positive.\nAnswer: u**(-1\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338 + 350. Calculate the highest common divisor of 204 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 13745812?\nAnswer: 783511284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*k - 11, 4*n + 13 = 5*k - 18. What is the closest to 1 in n, -0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1200)*2).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*q = -0*q - 24, 2*h - q = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -989, -1071, -1233, -1481, -1821?\n\"Answer: -a**3 - 34*a**2 + 27*a - 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 168 = 5*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26012 and 2324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + z - 24 = 0, 0 = 2*o - 3*z - 8 - 5. Suppose 4*t - o*h = -t + 5, 5*h - 25 = -t. Let w be 2\/(-3 - -5)*t. Solve 3*g + w = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607644415*g**4 + 630381922 with respect to g.\nAnswer: 2430577660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*a**2 + 1\/7*a + 0 = 0. Calculate a.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - (-49 + (7 - -4) + -9)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 (base 16) in base 10?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64681322113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445163 is divided by 163.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-4)*(-2)\/3. Differentiate -2*t**q + 6*t**2 - 4 - 8*t**2 + 2*t**2 with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -185*f + 8. Is 6 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2\/3, -0.27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004616 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4602974?\nAnswer: 2, 101, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.5, 4, 0.5, -3 in increasing order.\nAnswer: -3, -0.5, 1\/3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 112660 = -196*i - 309*i. Suppose -3*z + 161 = -4*w + 48, 5*w = -4*z - 118. Let s = 17 - w. What is the greatest common factor of i and s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 824277 = -52*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**2 + 23*f - 7. Determine t(9).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235700 = 263*x - 631252. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 7 in decreasing order.\nAnswer: 17, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 226*y**3 - 10*y - 9. Let q be c(-1). Let l = q - -806. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67474 + -67471. Suppose -3*s + 2*s + 32 = 0. Let g(w) = -w**2 + 9*w - 12. Let c be g(8). Sort y, c, s in decreasing order.\nAnswer: s, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30265, 30163, 30059, 29953, 29845?\n\"Answer: -f**2 - 99*f + 30365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 1062*n**2 - 559*n**2 + 20 - 4 - 505*n**2.\nAnswer: -2*n**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*n - 125*n + 15 = -p, -2*p = -n - 5. Solve 4*b + n*x + 11 - 19 = 0, -b - 15 = -3*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024381 rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472812 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 96 (c) -1\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 50 - 479*z - 3*z**2 + 459*z = 0. What is z?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(2\/(-6)*2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2235 or 14\/29?\nAnswer: -2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/9 + 232*b**3\/9 - 1280*b**2\/3 = 0 for b.\nAnswer: 0, 20, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1052647, 2105298, 3157943, 4210582, 5263215?\nAnswer: 6315842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u + u - 4*u)*(57*u - 530*u - 413*u + 152*u) to the form y*u**2 + z*u + v and give y.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*((-304)\/50)\/(-19).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and (-17645)\/9954 + (-1200)\/(-700)?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 1, 0.03461, 5\/7 in decreasing order.\nAnswer: 1, 5\/7, 0.03461, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -2\/11, 6\/91?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-120)\/54) + (-716)\/(-18). Is p at most as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)**(-2\/23) assuming c is positive.\nAnswer: c**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpiqietzietepz. What is prob of sequence qe?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -453, 0.14, 616?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1078430, 2156862, 3235294?\nAnswer: 4313726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.39 times 1\nAnswer: -2.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 10:49 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/4 + (-42)\/56. Let r = 27 - i. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6057 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139335 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -5\/48*t**4 + 1\/24*t**6 - 3\/80*t**5 - 7*t + 0*t**2 + 1 + 1\/6*t**3 - 1\/168*t**7. Find m, given that d(m) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4457045539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 - 2*a**2 + 1. Let p(x) = -x. Let v be p(-1). Let t be i(v). Find the second derivative of -4*r - 3*r**4 + t*r + 0*r - 2*r wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37229 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2149 + -2149. Put q, -1091, -2 in ascending order.\nAnswer: -1091, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 30 = -3*w, 1 = -2*w - 5*h - 2. Let j(u) = -u**3 - 8*u**2 + 10*u + 4. Determine j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 3 - 3)*(-2*w - w + 2*w)*(2 + 0 + 0)*(30 + 26 - 9).\nAnswer: 188*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-25)*35\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21366 is divided by 475?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676008170 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: What is prob of sequence yde when three letters picked without replacement from hhsddehyesyh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -465607.06 and -1.\nAnswer: 465607.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2381\/36 + 602\/9. Factor 75\/4 + 15\/2*a + c*a**2.\nAnswer: 3*(a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1\/2, -305, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -73. What is the common denominator of ((-495)\/70 - 2) + 7 + q and 21\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/12 + 16*g**2 + 39*g. Let z(o) = o. What is x(z(r))?\nAnswer: r**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 39. Suppose d = 8*f - 17. Factor 0*j**3 - 4*j + 4*j**2 - 3*j**4 - 3*j**3 + 7*j**3 - j**f.\nAnswer: -4*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(448))**2 + -1)*-3 + ((sqrt(448) + 2 + -3)*-4*5)**2.\nAnswer: -6400*sqrt(7) + 178259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*r**3 + 0*r**2 + 2*r**2 + 28*r**3 + 45*r**3 + 30*r**3 + 90 as y*r**2 + a + x*r**3 + s*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 1. Let s be a(-1). Let v = -3 + s. Solve v + 1 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*w - 3, 3*w = -0*w - 5*d - 11. Let l(h) = h**2 + 2*h + 1. Let z be l(w). What is the units digit of 5*(z + (-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t - 4*t - 5*t + (3 - 2 + 11)*(-2 + 5 - 2)*(0*t - 2*t + 0*t) to g + m*t and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000221 (base 3) in base 8?\nAnswer: -1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*n + 24 = 0, -y + 2 + 8 = -2*n. Suppose -61 = -u - y*f, f = u - 0*u - 41. Suppose m = 6 + u. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.58 - 4.58. Which is the closest to z? (a) -2 (b) -3 (c) 2\/3 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 - 6*p. Let a(x) = 21*x**2 - 13*x. What is -6*a(k) + 13*j(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Let s(o) = -3*o + 63. Give -s(f) - 5*t(f).\nAnswer: 13*f - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -94\/15, -7, -2\/15, 0.1, -1\/6, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 k when three letters picked without replacement from llxkkxlllklxkxl.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-70))\/(42\/3430*14)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = i - 20*u + 8, 0 = 4*i - 4*u. Solve 5*l + 31 = 11, 3*o = i*l + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*y = y + 30, 3*n + 3*y - 6 = 0. Suppose -n*w = -2*w - 20. What is the nearest to 1 in 3, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 + 6*n + 4. Let x be c(-4). Let r = x + -6. Suppose -4*v - 3*j = -v - r, 0 = 3*v + 2*j - 7. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s - 1. Let d be 8\/6*12\/(-8). Let f be d - ((-3)\/(-3) - 2). Let l(g) = -g**3 + g**2. Let j be l(f). What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13467*g**3*w**2 - 32746*g**3 + g**2*w**2 wrt w?\nAnswer: 26934*g**3*w + 2*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 776, 753, 722, 689, 660, 641, 638?\n\"Answer: h**3 - 10*h**2 + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/228)\/(280\/(-12264))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8685 by 965.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2 + 351*y + 1 + 343*y - 694*y + 9*y**2. Let p(q) = 13*q. Calculate r(p(x)).\nAnswer: 1521*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - c = 20, 3*h - 12 - 22 = c. Solve h*s = -3*b + 10*s + 5, 4*b = -4*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10148 and 5504.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1351*u**2.\nAnswer: -1351*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358751?\nAnswer: 17, 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 8*v**2 + 14. Let q be ((-64)\/(-12))\/(6\/9). What is the least common multiple of 18 and m(q)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 7*q**2 + 4. Let a(y) = -y**3 - y**2 + y - 1. Let l(b) = 3*b**3 - 3*b**2 - 5*b + 10. Let f(j) = 5*a(j) + l(j). Calculate 4*f(w) - 5*i(w).\nAnswer: 2*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + (-157 + 35 + 77)*(-5 + 1 - 10))*(-5*z + z + 2*z).\nAnswer: -1262*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, d: 6, w: 3, a: 3, e: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5376 by -1.\nAnswer: -5376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = v + v. Suppose -10 = -5*c - 5*g, -5*g = -v*c + 3*c + 25. Solve -c*h = -5*s - 25, 2*s + 6 = -2*h - 0*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 32*j**3 + 2*j**2 + 3*j + 2. Give b(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1798, 3608, 5462, 7366, 9326?\n\"Answer: s**3 + 16*s**2 + 1755*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j**2 - 4*j + 5. Let w(r) = -29*r**2 - 5*r + 6. Let f(z) = -5*b(z) + 4*w(z). Let v(q) = q**3 + q**2 + 1. What is -4*f(g) - 4*v(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 1 h when three letters picked without replacement from {u: 2, l: 3, d: 4, a: 6, h: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3 - 313041*g**2 - 34*g + 27139990 wrt g?\nAnswer: -6*g**2 - 626082*g - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1075, 1073, 1069, 1063, 1055, 1045, 1033?\n\"Answer: -n**2 + n + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4736900 rounded to the nearest 10000?\nAnswer: -4740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*o - 758*o - 348021501*o**3 + 348021502*o**3.\nAnswer: o**3 - 920*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 254120*c**2 + 254123*c**2 + 4*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13021395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + w = -1, -5*w + 2*w - 3 = -i. Let c = 2 + i. Suppose 5*l - 21 = -4*f + 3*f, -3*l - 3*f + 3 = 0. Put l, 4, c in descending order.\nAnswer: l, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2450) + -1 + 3) - ((sqrt(1250)*2*-2 + sqrt(1250))**2 - sqrt(1250))*-3.\nAnswer: -40*sqrt(2) + 33752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/4662827 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1331) + -6*(sqrt(1331) + (sqrt(1331) - 1*sqrt(1331)) + sqrt(1331)) + 6*sqrt(1331)*1)*-6)**2.\nAnswer: -660*sqrt(11) + 1197901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let c(l) = 2062*l + 45. Let w(n) = -140215*n - 3045. Let d(x) = -203*c(x) - 3*w(x). Calculate d(j(f)).\nAnswer: -2059*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14705\/22053 + -1\/7351. Let f(q) be the first derivative of -16 - 98*q + 14*q**2 - s*q**3. Solve f(h) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a + 3. Let t be m(-2). Let p be 906\/(-8) + t\/(-20). Let v = 180 + p. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x - 2 - 22*x + 12*x - 17*x.\nAnswer: -50*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24106 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 19*h - 32. Let v be x(17). Let t(u) = -3*u - 6*u**v + 6*u - 3*u. Let n(d) = -d. Give n(t(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -49 + 34 - k + 12. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 488797 - 762255. Let q = -863623 - x. Let v = q - -279860. What is v rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81192 and 13056?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - -2 - (2 - -5 - -7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/120 + 6*v**2. Let m be p(0). Suppose m*u - 48 = -4*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 14*g + 2. Let i be f(14). Solve i*s + 3*s + 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*o + 161*o = -5*u - 4, -5*o - 2*u = 22 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 21 = 4*u, -4*y = -3*u - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10441 + 10440. Is 5\/192 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 20. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(1\/((-3)\/(-2))). Suppose -k*d = 2*d - 55. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 67\/2*p**2 - 8 - 49\/5*p**5 + 1\/6*p**4 + 4*p + 0*p**3. Find the third derivative of q(r) wrt r.\nAnswer: -1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047, -1032, -1017, -1002, -987, -972?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143459*l**2 - 33682*l wrt l.\nAnswer: 286918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.881? (a) 34 (b) 1 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 7*j. Let n(f) = -2*f**3 + 2*f**2 - f + 4. Let w be n(2). Calculate l(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 = r, 143 = 5*k - 25*r + 27*r. Calculate the greatest common factor of k and 2263.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30811688 to the power of 1\/2, to the nearest integer?\nAnswer: 5551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 287 (b) -0.4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/404 - -1583\/4444. Determine n so that 0 + 6\/11*n**3 - 2\/11*n**5 - 10\/11*n**2 + 2\/11*n**4 + z*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/(4\/8). Let x(r) = -2*r**h - 7 + r**2 - 3*r - 3*r. What is x(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34624 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*c - 4101*c - 4978 - 588 = 3258 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*w**2 - 59*w**2 + 24*w**2)*(0 - 2*w + 0)*(-2*w - 1 + 1 + 0) to the form v*w + q*w**4 + y*w**2 + z + f*w**3 and give q.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxehl. What is prob of picking 1 x, 1 h, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 4*u**2 - 6*u + 6. Suppose -13 = -2*b - 7. Is v(b) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4554*i**2 - 17*i - 1 + 2286*i**2 + i**3 + 2301*i**2 + 2*i**4 to f*i**2 + w*i + z*i**3 + u*i**4 + x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 119*y - 3463. Calculate the least common multiple of k(-51) and -16*(-2 + 6\/(-4)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 0*x + 0*x - 5*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 12*t**2 - 24*t - 19. Let p be a(-10). Suppose 160 = p*k + 55. Solve k*x - 35 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-6) - 52\/(-39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 19 + -16 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252754 is divided by 252693.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/7 - 10*j**4\/7 + 12*j**3\/7 + 4*j**2\/7 - 2*j + 6\/7.\nAnswer: 2*(j - 3)*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2 + 9\/5*f - 7\/5*f**2 = 0?\nAnswer: -5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/13)*x*x)\/x**(-4\/11))**(-29))**(6\/25) assuming x is positive.\nAnswer: x**(-54984\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 0.76 (b) 1 (c) 7 (d) 0 (e) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -69 in decreasing order.\nAnswer: -1, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggsgyshgghyhg. Give prob of picking 2 s, 1 c, and 1 h.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2ad?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/28 + (-42)\/8. Let h be (2 + -3)*r*1. Is 384\/h + 11\/55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*k + 23, -4*k - 5*o = k - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 261359054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {y: 9, q: 2, f: 1, w: 2}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**6 - 8*k**3*t**2 + 6*k**2*t**2 + 10*t**2 wrt k.\nAnswer: 240*k**3 - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-9\/5))**(-6\/11)\/(w**23\/(w**(4\/11)*w)))**13 assuming w is positive.\nAnswer: w**(-16562\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1128 (base 9) to base 12\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*j + 2407*j = 1290*j - 9379 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*k**3 - 3\/2*k**4 - 1 + 9\/2*k - 15\/2*k**2.\nAnswer: -(k - 1)**3*(3*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-16) - (-5 + (-148)\/16). Solve 2*l - 23 = 2*w - 37, 5*l = -x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6587285 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 - 4*b + 3. Let p be x(-4). Suppose 11*l - 24 = p*l. Put l, 4\/7, 0.5 in ascending order.\nAnswer: 0.5, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 29*g**2 + 1954 + 1997 - g**3 + 95*g - 3913. Calculate w(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/51 and -133\/108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 10*t - 16. Let s be q(7). Suppose s*o + 6 - 156 = -5*x, -114 = -4*o + 2*x. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -26 + 33 - -38) + 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41\/3 in -5, 0.4, 0.3, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -51, 0 in decreasing order.\nAnswer: 1, 0, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38423 + 864?\nAnswer: -37559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*x + 2*x, 7*x - 4*d + 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Suppose -35 = -3*o + 2*b - 7*b, 0 = 2*o + b - 14. Suppose -o - 35 = -5*g. What is the units digit of h(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2615?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 112102?\nAnswer: -112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:14 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/976 and 75\/7198.\nAnswer: 57584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10713 to three decimal places.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-2400532)\/342932 + 1 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -20. Suppose -3*k - z - 8 = 0. List the prime factors of (-28)\/k - 4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w + 1. Let j be s(-3). Suppose 0 = -3*d + 5*d - j. Factor 4*a + 0*a**3 - a**5 - 5*a + d*a**3.\nAnswer: -a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 59, 4, 1 in descending order.\nAnswer: 59, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -35. Suppose f = 2*a + a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29218037363 and 8277.\nAnswer: -29218029086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let n(u) = -10732*u**2. What is n(h(d))?\nAnswer: -42928*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, a: 7}. Give prob of picking 2 a and 1 m.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/338*2691\/207\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 861698 and 5886656?\nAnswer: 9682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:09 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -0.1, 3\/4, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) - (-222)\/27. Let t = b - 6. Suppose c + n = 7, -3*n - 5 = -c - t*n. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 3 - y - y. Let z be w(5). Let u(v) = v**3 + 6*v**2 - 10*v + 9. Let i be u(z). What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -874.\nAnswer: -174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 0*b + b**4 + 0*b**2 + 32\/3*b**3 - 212. Factor x(j).\nAnswer: 4*j**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbf when four letters picked without replacement from {w: 8, m: 5, o: 1, f: 2, b: 3, n: 1}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/680?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13479161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44 and 0.1614?\nAnswer: 0.232416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 10, w: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42481.3 and 0.4?\nAnswer: -16992.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 214\/22791*(-39)\/6. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3796, 7428, 11060, 14692?\n\"Answer: 3632*o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.8 and -0.8?\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 4*t**2 + 5*t**2 + (-3*t + 2*t + 2*t)*(-14*t + 0*t + t) - 2*t**2 + 0*t**2 + 5*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -5 (b) 0.4 (c) -26884\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-23)\/28 + -2 + (-432)\/(-168).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukzpkpkuiuni. What is prob of picking 1 p and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60\/29? (a) -4 (b) 1\/2409 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9117627 - 102609?\nAnswer: -9220236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/15, -388575 in descending order.\nAnswer: -2\/15, -1\/2, -388575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 7*q**6\/225 - 19*q**5\/150 + 4*q**4\/45 + 4*q**3\/45 - 16*q. Let w(u) = 0. Calculate u.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 1. Suppose 4*t = -3*v + 15, v - 4 = -3*v. Calculate m(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.742 and 0.04801.\nAnswer: -0.03562342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((620\/(-248))\/((-10)\/(-408)))\/6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 525 - 365. Let z = w + -49. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*h + 177*h - 158*h)*(2 - 5 + 4)*(5*h**2 + h**2 - 4*h**2) to i*h**3 + f + l*h**2 + q*h and give i.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 12) to base 15\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5416.614ml to litres.\nAnswer: 5.416614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73202655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64359036 and 301637?\nAnswer: 7357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -774 + 2020. What are the prime factors of l?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 69 = 21. Let v be 2\/(2*3\/p). Let y be (-2)\/(-6) + (-7)\/v. What is the smallest value in y, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*k = -8, 0 = -6*d - 11*k + 4*k - k - 66 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 18 + 45 - 8 + 12 - n**2.\nAnswer: -2*n**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (23 - 13 - (-31 + (7 - 5))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11224.51 * 0.3\nAnswer: 3367.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 8) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37 >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70548 = 1016*y + 71564 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/40*765\/6. Is -14 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 10*q**2 - 2*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2)*64\/5. Suppose 5*a + i - p = 0, 8*a - 3*a = -3*i + 36. Find the third derivative of 0*n**6 - 3*n**2 - 5*n**a - 14*n**6 wrt n.\nAnswer: -2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -122, -277, -526, -899, -1426?\n\"Answer: -5*u**3 - 2*u**2 - 50*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/8 - 0)*-1. Let m(l) = -l. Let r be m(-2). Which is the smallest value? (a) r (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8069866 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 14*f + 21. What are the prime factors of n(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -294 - 106. Suppose -6*d = -10*d + o. Suppose 6*q - d = 3*q + y, -1 = y. Solve -6*n + 2*n + 21 = -s, q = -5*s + 2*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-3 - -2 - 4). Suppose 5*g - 3*w = j*w + 10, -53 = -4*g - 5*w. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7308 and 180243?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 96 = 3*p, -48 = p + 892*m - 885*m for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14226?\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(24\/(576\/(-168)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*k + 25, 5 = 2*t - t - 5*k. Suppose -8 = -t*f + f. What is the units digit of (-440)\/(-24) - f\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11\/a)\/(a*a*a*a*a**(-6)) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/171136 and -43\/171136.\nAnswer: 171136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (10 - (-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 4705 in ascending order.\nAnswer: -2, 8, 4705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 126*f**2 - 11. Let j(y) = 23*y**2 - 2. Let s(k) = 33*j(k) - 6*v(k). Let t(a) = 9*a**2 - a. Determine -7*s(l) + 2*t(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-6) + 1168\/24 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21011202022210202 + -10?\nAnswer: 21011202022210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 41581192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1 (c) 17 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7555, 7542, 7529, 7516, 7503, 7490?\nAnswer: 7477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -454 (b) 0.03 (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + h = -3940, -4*q - 2*h + 5252 = -3*h. Suppose -i + q = -741. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 6\/(-4) + 7\/14. Suppose x = 4*o - 3*w + 1, 0*w - 11 = -4*o - w. Let m(n) = -11*n**2 + 17*n**2 - 5*n**o. Let d(z) = 9*z. What is d(m(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*p - 12*p**3 + 6*p**2 + 1334 + 10*p - 3*p**4 - 1361.\nAnswer: -3*(p - 1)**2*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 14 - 94. What is the units digit of x\/(-10) + (-6)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:28 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12108511703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/7, -22, 2, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -846277974 and 0.1.\nAnswer: -846277973.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 - 135833952*f\/7 - 543335872\/7.\nAnswer: 4*(f - 33958492)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 7*p - 80. Let i(b) be the first derivative of b**3\/3 - 2*b**2 - 4*b - 1. Give i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g + 12*g**2 - 2*g**3 - 3*g**3 + 6*g**3 + 10 - 6*g. Let q be m(-11). Let w be 1\/(-2)*(-10)\/(-4). What is the biggest value in w, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -12. Find the third derivative of i*k**5 - 2 + k**5 - 215*k**3 + 215*k**3 + 28*k**2 wrt k.\nAnswer: 3780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k = 49 + 471 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8632868\nAnswer: -1\/4316434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245049660?\nAnswer: 2, 3, 5, 29, 673, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381129.\nAnswer: 3, 7, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34616 - 73*f + 34616)*(-f**4 - 1 + 2*f**4 - 3*f**2 + 0).\nAnswer: -73*f**5 + 219*f**3 + 73*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032845 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2783 + -2780. Determine t, given that -1\/7*t**q + 2\/7 - 2\/7*t**2 + 1\/7*t = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3844 - 3817. Solve -5*j = -2*w - 9, 5*w - y = -j - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(28)\/(sqrt(12)\/sqrt(3)) - sqrt(7) - (3*sqrt(77))\/sqrt(11)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005 and 6.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017200 (base 9) in base 6?\nAnswer: 113452130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 + 4. Let r(o) = -o**3 + 7*o**2 - 4*o - 7. Let y be r(6). Let a = -2\/83 - 73\/415. What is the nearest to s in -3, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89592708 and 1476.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035 = -4272*m + 4157*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19111705793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 48*k**2 + 17*k. Let q(y) = -75*y**2 - 17*y - 1. Give 3*m(d) + 2*q(d).\nAnswer: -6*d**2 + 17*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 250\/(-330) + 4\/6. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 2*i**2 + i**2)*(21*i + 6 + 12*i - 34*i) in the form x*i**2 + v + l*i**3 + j*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-12))\/(1\/(-2)). Let d = y - -11. Suppose -3*a + 6*i + 35 = i, -18 = -2*a - d*i. Solve 22 = 4*l + a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -460*d + 7. Let k(l) = -1380*l + 19. Give 4*k(t) - 11*x(t).\nAnswer: -460*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212021 + -1211?\nAnswer: -100221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 13*m**2 - 9*m. Let o be y(-8). Suppose 0 = 2*c - 0*c - o. Suppose n + 0*n + b = c, 0 = 4*b - 12. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g. Let v be j(-3). Let b = v - -8. Solve 5*o + l - 7 = -2, 2*o + b*l = -21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - o + 1. Let z(x) = -116373*x**2 + x + 3 - 5 + 116370*x**2. Give 4*b(s) + 3*z(s).\nAnswer: 7*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904181105.\nAnswer: 5, 180836221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = b + 15, b = -3*c - 3*b - 3. Let p(r) = -r**2 + 6*r - 4. Let s be p(c). Suppose 25 + s = 5*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(f + 0 + 0) + 2*f + 11*f + 2*f)*(-4*f + 2*f + f) to x + q*f**2 + z*f and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51616 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**6\/24 - 3*h**5\/4 - 5*h**4\/24 + 15*h**3\/2 + 16*h**2 + 46. Let q(g) be the second derivative of o(g). Solve q(p) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(2165 - 2165 + 109*n)*(-2 + 4 + 0)*(-1 + 3 - 1) as w + d*n and give d.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 436 + 152482?\nAnswer: 152908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 6 - 14 = -2*n, 4*n + 2*k + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -20, 4, -4 in ascending order.\nAnswer: -20, -8, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3))\/sqrt(3))**2 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -565 * 147.\nAnswer: -83055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*g + 4*g - 68, 4*z - 76 = 2*g. Let l be z + 2 + 1 + -1. What is the greatest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 136699 and -0.1.\nAnswer: 136698.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t - 64. Let u be n(6). Suppose -26*d = -u + 2. Solve d = 5*m - 5*a + 21 - 1, 3*m + 2 = -2*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2. Let p(z) be the third derivative of z**6\/60 + z**5\/60 + z**2. Let n be p(1). Let a(c) = -2*c + c + n*c. Determine a(t(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1809, 1809, 1807, 1803, 1797, 1789, 1779?\n\"Answer: -r**2 + 3*r + 1807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8\/5 (b) -0.06 (c) 0.011 (d) 4 (e) -1\/10 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 186994993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 + -4a9?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 169445, 169450, 169455, 169460, 169465, 169470?\n\"Answer: 5*u + 169440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*-3)\/(sqrt(10) + (sqrt(10) - sqrt(90))*1).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*z**4 - 40.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6208967186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2306*y**2\/11 - 2364*y\/11 - 58\/11 = 0?\nAnswer: -1, -29\/1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19004258880 plus 1.07?\nAnswer: 19004258881.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-4)\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61585123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-seven halves of a millennium?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5*i**4\/12 - 13*i**3\/2 - 9*i**2\/2 - 43*i. Is u(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/9 - 1)*(-2 - -5). Let c(k) = 3*k - 4 - m*k**2 - 14*k + 3*k + k**3 + 9. Calculate c(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 - -194.9. Let g be -2*((-5)\/(-4))\/(-5). Which is the second biggest value? (a) t (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**3 - 20*z**2 - 111*z + 311. What is a(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227572870793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 10*r - 4. Let g be a(5). Let d = -27 - g. Solve -y - d = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 1269*k**4 - 5043*k**3 - 6291*k**2 - 2514*k = 0. What is k?\nAnswer: -419, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25*k + 7. What is the tens digit of i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7476698 and -21\/4?\nAnswer: 14953396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6557.769 litres to millilitres.\nAnswer: 6557769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 534 - 532. Put f, 0, 1, 178 in descending order.\nAnswer: 178, f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 10:34 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18406?\nAnswer: 2, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2484*f - 2056*f + 29104 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4182209 tonnes?\nAnswer: 418220900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -2459414\nAnswer: 9\/1229707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (6 + -1) - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104542907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 - 206.2. Let v = 34 + w. What is the nearest to -1 in -2\/15, -3\/2, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43014244 and 3276.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5\/4, 1\/3, -0.03?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 2*d + 0*d + (16 - 19 + 12)*(-2 + 5 - 5)*(-2*d + 0*d + 0*d)*(2 - 1 - 3 + (3 + 0 - 1)*(-1 + 1 - 1) - 20 - 6 - 19).\nAnswer: -1763*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678851.\nAnswer: 19, 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -65?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - -0.5. Let s = -18 - -19.4. Let b = r - s. What is the second smallest value in b, 2\/13, 0.06?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:53 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*((n*n\/(n*n**(-4\/7)))\/n)\/n*n*n**(2\/9)*n**(3\/5)\/(((n**7\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-506\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646171184 to the power of 1\/3, to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18691 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvdddv. What is prob of sequence wvdv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/5115 and 14\/8475.\nAnswer: 2889975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a*(a**(1\/53)*a)\/a))\/a)**(5\/14)\/(a\/(a*a\/(a\/(a**8\/a*a))))**(-1\/38))**(1\/15) assuming a is positive.\nAnswer: a**(-1021\/70490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343.4 - 343.8. What is the fourth biggest value in i, -0.04, 1, 2\/35?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1378 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12222 (b) -1\/2 (c) -124 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32*(-23)\/17480)\/(6\/45*3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 69. Let d = 1.7 + -5.2. Let v = w - d. Which is the closest to -0.1? (a) 3 (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3) + 12\/(-3). Let u(w) = w + 8. What is u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -127*g + 164. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 11*d**2. Let y(j) = 6*j**3 + 32*j**2 + j. Suppose 94*o - 53*o = 67*o + 104. Determine o*y(p) + 11*h(p).\nAnswer: -2*p**3 - 7*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 14) to base 16\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 84 + 40 - 5*u**3 + 105 + 4*u**3 + u**2 - 2*u. Is m(0) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 6 - 2 + 1. Let i be x(-2). Suppose 5*q - 95 = -5*o, -5*o = 3*q - i - 34. What is the least common multiple of 2 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, 337, 298, 223, 100, -83?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*(-18)\/(-18)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 2324*k - 5.\nAnswer: -2324*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g - 2*g)*(-2*g + g + 0*g + (-2*g + 2 - 2)*(1 - 4 + 1) + 0*g + 3*g - 4*g - 6*g + 11*g + 11*g).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2.5, -1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 60. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Suppose 2*f + 2*f = -5*o + 44, 4*f = 4*o + 8. Let g(h) = -f*h + 9*h - 2*h. Calculate i(g(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 5. Let f(w) = w**2 - 2*w. Let o be f(2). Let z be v(o). Suppose 1278 = p - 3*d, 5*p - d - 6466 = -z*d. Round p to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 3. Let f = -19 - -7. Let a be 92\/f - 4\/(-6). Suppose 0 = v - 4 + 1. Let d(w) = -11*w - 7. Determine a*h(u) + v*d(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 31*y - 3. Let x(c) = 7*c - 2. Let h(u) = 4*x(u) - z(u). Suppose 2*i - 8 = 0, 2*v - 3*i = v - 7. Let w(l) = -1. Calculate v*w(r) - h(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 19. Let z(d) = 0*d + 3*d - d + 6. Let o(y) = 3*j(y) + 8*z(y). Let u(t) = 4. Suppose -9*m + 6*m - 6 = 0. Determine m*o(g) - 5*u(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*w - 16 = 146*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 6. Suppose 484 = -34*c + 620. Put -5, c, m in descending order.\nAnswer: m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*10\/(-480)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1114\/(-2))\/((-4)\/(-7 + 123)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v. Let y(i) = -32766*i. Determine u(y(t)).\nAnswer: 262128*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x. Let i(u) = -2*u**2 + 1. Let d(w) = w**2 - 1. Let q(p) = -p**3 - 8*p**2 + 8*p - 10. Let j be q(-9). Let r(s) = j*i(s) - d(s). What is r(y(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/36*(-63)\/(-27)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v\/(v\/(v**(1\/2)\/v)*v*v*v)*v)\/(v\/(((v\/v**(-7))\/v)\/v)*v**(5\/4)) assuming v is positive.\nAnswer: v**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 161130079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(528) - (sqrt(528)*-2 - sqrt(528)))*1)\/(((sqrt(108)\/sqrt(3))\/sqrt(4))\/sqrt(3)*-5) + -5.\nAnswer: -48*sqrt(11)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110 + 111111101011010?\nAnswer: 1000000000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -74429.730015157 + 74426.53261. Let p = b - 104.802595453. Let n = 108 + p. Round n to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -263, -262, -261, -260, -259?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55249*b**3*g - 51*b**2*g + b**2 - 83*b - 1 wrt b.\nAnswer: -331494*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 + 3*a**3)*(45*a**2 + 4*a**2 - a**2).\nAnswer: 144*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.97. Let d = 0.43 + z. Put d, 2\/9, 1 in decreasing order.\nAnswer: 1, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/12 - 1\/3. Let o(g) be the first derivative of 0*g**3 - r*g**4 + 2 - 3\/2*g**2 + 0*g. What is the second derivative of o(n) wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5337*i**2 + 3371*i**2 + 3567*i**2 - 280*i**2.\nAnswer: 11995*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*u**3 + 5*u - 26*u**4 + 6*u**4 - 156*u**2 - 41*u.\nAnswer: -4*u*(u - 3)**2*(5*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 42, 100, 190, 318, 490, 712, 990?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = -41527 + 40727 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3. Let u = 33 + -11. Suppose 4*a + u = v, -3*v + 0*a = -5*a - 45. What is the smallest common multiple of p and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 + -21112220220?\nAnswer: -21112222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyeegefegegyeegy. Give prob of picking 2 y and 1 g.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236558868 and 4421.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {i: 5, y: 1, j: 6, m: 1, v: 2, l: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 28 + 15 + 35 + 45 + 13*s.\nAnswer: 13*s + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15*s - 7. Let u(d) = 7*d + 25*d + 4 - 24*d. Let c be -3*(0 - 11\/(-3)). What is c*u(l) - 6*x(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 + 0*x**2)*(2 - 6 - 1)*((0*x + x - 2*x)*(-1 + 3 - 8) - 4*x + 2*x + 0*x).\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 34*v**4 + 2117716*v**3 + 243509946*v**2\/17 - 58791320*v\/17 + 3487624\/17 = 0.\nAnswer: -62279, -7, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -690 in -17, -2\/5, -4, 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Calculate the remainder when 7*3 - (-2 + j) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487437195.\nAnswer: 3, 5, 7, 4642259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800) + -1 - sqrt(48).\nAnswer: -1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -7, 0.21686, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.72 + -12.28. Let n(k) = -k + 6. Let y be n(6). Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13 (b) -3\/2 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2133738 and 103\/251028.\nAnswer: 4267476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 3*l - 8. Let s be p(4). Let v(y) = 2*y**3 - 6*y**2 - 4*y + 8. Let c(u) = 3*u**3 - 7*u**2 - 5*u + 9. Determine s*c(x) - 5*v(x).\nAnswer: 2*x**3 + 2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = w - 8 + 7, 5*w + 11 = 2*g. Suppose -6*i + 2*i - 4 = 5*t, -12 = -3*i. Let v be (t + 18)*6 + w. Calculate the highest common factor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.16. Let n = 0.81 + p. Round n to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104609 + -727768\/7. Suppose 0 = -4*b - 4*g - 2548, -b - 2*g = 4*b + 3194. Let m = b + v. Is 1\/2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.07 + 0.07. Let b be 8\/(-360)*-6*3. What is the nearest to -0.1 in b, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/15 in -5, -2, -0.7, 11?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 2*q)*(-1 - q + 1) - 2*q**2 + 0*q**2 + 0*q**2 + (2*q + 0*q - 4*q)*(4*q + q - 3*q) - 2*q**2 - 2*q + 2*q.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**12)**(-1\/47)\/(t\/t**(-2\/3)*t*t\/(t*t**(-14))) assuming t is positive.\nAnswer: t**(-2317\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3831*t**2 + 3068*t**2 + 2777*t**2.\nAnswer: 9676*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103594 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -16) + (103 - 115)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 114*w - 109*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(675))*-5)**2 + sqrt(675) + -5 + (sqrt(675) - 2*sqrt(675)).\nAnswer: -1500*sqrt(3) + 16970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/(-2)) + 7. Let r(h) = -h**3 + 15*h**2 - 3*h - 5. Is r(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25769, 51536, 77301, 103064, 128825, 154584?\nAnswer: 180341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -90. Solve f*w + 12 + 0 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {l: 2, j: 1, w: 6, b: 3, g: 4}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 635*t**6 + 3*t**3 - 220*t**2 + 3*t - 1 wrt t.\nAnswer: 76200*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.135 + 1.268. Let t = v + -29.1425. Let d = -30 - t. What is d rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/(-380) + (-3)\/(3\/(-1)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-5)*((-19)\/(-19))\/(7\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118912 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 - 12*l + 15. Let j be c(7). Suppose y = 7*y - j. What is the units digit of (1 - -1) + (y - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 68?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 14*v + 16. Let d be q(-6). Let a be (-36)\/d + (-99)\/24 + 4. Is a\/(2\/(-154)*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1.5, 0.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 14*n - 9. Let c be p(11). Suppose 1 = 5*v - c. Suppose -5*d = v*s - 430, -4*s + 359 = -2*d + d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2156 - -636. Round g to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 0*i**3 - 3*i**3 + 4*i**3 - 3*i**3. Let q = -81 + 83. Let n = -1 + q. What is c(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*q + 127*q - 68509 = -2*m, 8 = -8*q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 374*s**3 - 1 - 1657*s - 1543*s**3 - 4*s**4 - 3*s**4 + 6*s**4 wrt s?\nAnswer: -12*s**2 - 7014*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14085\/4384 + -179\/137. Find the common denominator of ((-137)\/18)\/(-5*(-16)\/40) and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/5*(-10)\/(-84)*1\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 702 + -706 + -38 + (-5 - -3) + 3 + 4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 3. Let z(u) = 11*u + 8. Let s(p) = 8*r(p) + 3*z(p). Let a(o) = -7*o - 4. Let x(q) = 9*q + 5. Let i(t) = -5*a(t) - 4*x(t). What is i(s(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-653)\/(-2))\/(1434\/(-14)). Let y = 5\/239 + j. What is the common denominator of y and ((-44)\/40)\/(1\/2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -31. What is the remainder when 21 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + -5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.135 - -2.965. Sort -2, -1\/5, 2\/11, g, 4.\nAnswer: -2, -1\/5, g, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a**2 + 2978*a + 191. Give k(166).\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*w + 4 - 11, 4*m = -2*w. Let u(v) = 2*v**2 - 1. Let g be u(m). Let r be (-10)\/8 - (2 - 3). Are r and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, -8, -10, -12, -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326818?\nAnswer: 2, 163409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -7108.\nAnswer: -1\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29 - 12 - 15) + ((-48753)\/(-5) - -3). Factor -174\/5*l**2 - d + 5046\/5*l + 2\/5*l**3.\nAnswer: 2*(l - 29)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889069?\nAnswer: 889069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135059 or 135058?\nAnswer: 135058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 29. What is f(13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 38575121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166308 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-63) + 336\/756. What is the third biggest value in 0.3, s, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612685 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let t = u - 4.5. What is the smallest value in -2\/19, t, 2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + y + 11 = 0, -2*y = -3*b + y + 18. What is the nearest to -1 in 0.5, 6\/13, b?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -3 (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 3354.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 750, 1536, 2334, 3150, 3990?\nAnswer: 4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/15 - (-6)\/(-15). Let x be (1 + 1)\/(s\/2). Let y(w) = 5 + w - w - x*w. Let j(z) = -z + 1. What is 10*j(k) - 2*y(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2083260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3*l**2 - 6*l + 1. What is the smallest common multiple of 22 and m(-4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189 + 93 - -87) + (1 - 16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5516750.\nAnswer: 2, 5, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 0 + -2)**2 - sqrt(1053))*-1 + -4.\nAnswer: -1061 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6241 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5073449.9 rounded to the nearest ten thousand?\nAnswer: -5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -862 - 5*o + 1778 + 3*o. Let i(d) = -2*d. What is i(y(k))?\nAnswer: 4*k - 1832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 5292 (c) 5 (d) 3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 2*x - 12. Let v(d) = d**2 + d - 1. Let h(j) = 2*v(j) + z(j). Find the first derivative of h(f) wrt f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*m = -2*t, -16*m + 8 = -14*m + t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*q - 528*q = -45 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 5*u + 4*u)*(-4*u + 2*u**2 + 4*u)*(-u + 4*u - u - 3 - 2*u + 3 + (2*u + 2*u - 5*u)*(-2 - 2 + 3)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 2*v, -v = -2*d + 2*v - 2. Let m(k) = d*k - 6*k - 3*k. Let n(u) = u. Calculate m(n(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 380 - a0?\nAnswer: 2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**4 - 10294*r**3 + 4*r - 235619 wrt r?\nAnswer: -8*r**3 - 30882*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3491, -15.\nAnswer: -15, 7, 3491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/39 + (-2)\/(-13). Let m be 2 - b - (-1 - 0). Suppose 0 = -h + 3*h - 5*d - 28, d - 8 = -m*h. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 470166 = -148169. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -9345205.\nAnswer: -4\/9345205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 131.1. Which is the second biggest value? (a) -1 (b) 6\/5 (c) 1.5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/53, -1861, 329 in increasing order.\nAnswer: -1861, -3\/53, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/((-2)\/16). Suppose 3*j = 2*j - 337. Let d = 2367\/7 + j. Which is the closest to 0? (a) 1 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*i + 10485, -4*f + 5*i - 2213 = -9212. What are the prime factors of f?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.43, 0, 1\/4, 162?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3191972 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7011 + 7001. What is the smallest value in 0.3, 1\/2, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-6 + 30\/(-18)*-3). Let h be 534\/r - (-9)\/6. Calculate the highest common divisor of 225 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24681 - -135?\nAnswer: -24547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3*g - 2*g. Let w(i) = 28*i. Let l(u) = 25*u. Let k(p) = -7*l(p) + 6*w(p). Give j(k(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(76) - (sqrt(76)*1 + sqrt(76))*3)*-2)\/(-1*(sqrt(144) + -3*sqrt(144) - sqrt(144))*5).\nAnswer: 4*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3, s: 1, z: 5, k: 1, p: 2}. Give prob of sequence sc.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -374168536*m**4 + m**2 + 202901319.\nAnswer: -1496674144*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19902*b - 14878 + 19899*b - 59705*b + 19903*b.\nAnswer: -b - 14878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 + 3*r**2 + r + 25. Let l(a) = -7*a**3 - 3*a**2 - 2*a - 24. Determine -3*c(s) - 2*l(s).\nAnswer: -s**3 - 3*s**2 + s - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {p: 3, b: 2, v: 5, l: 3, q: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 158 = p. Let u = 86 - p. Let a(n) = 2*n**3 + 7 - n**2 - u + 4*n**2. Give a(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186534920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:53 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - s = -24. Suppose s*d + 0*d + 6 = 0, -24 = 4*h - 4*d. Is h != -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojji when four letters picked without replacement from iqijojjqjq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*84\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 1. Let s be g(-2). Let f be 2 + ((-18)\/(-5))\/s. Factor -2\/5*z**2 + 0 + f*z.\nAnswer: -2*z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -391, -799, -1191, -1561, -1903?\n\"Answer: s**3 + 2*s**2 - 421*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 171, 256, 327, 378, 403, 396, 351?\n\"Answer: -l**3 + 2*l**2 + 94*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 - 2 - (0 + 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-99)\/22)\/((-2)\/36). Let u = -278 + 398. Let y = u - t. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 8*d + 5*d + (-2*d - 5*d + 5*d - 3)*(-252 - 79 - 33))*(2 + 0 + 0).\nAnswer: 1474*d + 2184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 15409, -858, -3 in decreasing order.\nAnswer: 15409, -3, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -2*sqrt(63) - -1*sqrt(700))*-5.\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 8*u + 4. Let n(k) = 2*k**2 + 10*k - 5. Let d(m) = -4*n(m) - 5*w(m). Let c(y) = 1 - y**2 - 1. Give c(d(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (-13 + 6 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**43*(q\/(q*q**(-3\/8)\/q*q))\/q**2)\/((q\/q**(-2\/9)*q**3)\/((((q\/q**6)\/q)\/q)\/q**(-3\/7))) assuming q is positive.\nAnswer: q**(15413\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053770 is divided by 1614?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2\/5*g**2 + 2\/5 + 4\/5*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p - p + 13*p)*(-p + 4*p - 2*p).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - (-12382)\/(-287))*(2 + 6\/4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - -125. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*g - 45*g + 242. Solve 4*z = 3*o + 21, -3*o + 2 = g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t = -544. Let a(i) = 15*i**3 + i**2 - 5*i + 5. Let v be a(1). Suppose 0 = 7*h + v - 135. Calculate the greatest common divisor of t and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836285 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0 - (-1426 + 1453)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 5*h**3 + h**2 - 5*h.\nAnswer: -h*(h - 5)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.916 - 0.084. Which is the fourth biggest value? (a) 5 (b) -5\/3 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 566624 and 68192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 h, and 1 d when four letters picked without replacement from {a: 4, d: 4, h: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-30)*42\/(-2) + (-248)\/31.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9*q - 5*o - 106, 0 = 5*q + 3*o - 151. Suppose 23 - q = -2*p + 2*d, p - 6 = 2*d. Put 1, -4, 7, p in descending order.\nAnswer: 7, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 11.5 (b) 2\/17 (c) -4\/5 (d) -17036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 - (-46)\/161.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1866 and 78?\nAnswer: 24258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:17 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 - 24*v + 1. What is m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4428)\/4428*((-8)\/118)\/(-2)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-21) + 30\/7. What is the remainder when 36\/((-1 - -5)\/r) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4998 - 2879. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j + 1. Let i be k(0). Which is the smallest value? (a) 4 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37406101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 130*h + 57*h + 73*h + 2*h**2.\nAnswer: 2*h**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 - -3)) + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139625 and 115051.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187797932071\/871076780 - 2\/6221977. Let w = i - 1520\/7. What is the common denominator of w and -23\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 2*c**2 + 1. Let f be t(-1). Solve 4*s - 20 = q + q, 0 = f*q + 3*s - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 42. What is the common denominator of 268\/90 + (-26)\/z and 2\/19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 989\nAnswer: -6923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019958 rounded to 6 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) + 1 + 3) + -2)**2.\nAnswer: 720*sqrt(13) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3771 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 2. Let j be y(2). Let i(z) = -z + j - 3*z**2 + 3*z + 0*z + 9*z**2 + z**3. Let g = 154 + -160. Calculate i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.3 + -1.3. Let u = 4 - b. Let i = u - -3.00072. Round i to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2049, 4097, 6145, 8193, 10241, 12289?\n\"Answer: 2048*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, 0, -51.798 in descending order.\nAnswer: 0, -10\/7, -51.798","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + m)*(191*m - 191*m - 166*m**2) + (-3 + 2*m**2 + 3)*(-6*m + 0*m + 4*m) - 2*m**3 + 2 - 2.\nAnswer: -338*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1\/6, 2\/23, 0.0247?\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 5826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -8 in decreasing order.\nAnswer: 0, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3*i**2 + 2*i**3 + 0 + 5668*i - 3 + 6.\nAnswer: 2*i**3 + 3*i**2 + 5668*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:05 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*2*sqrt(204)*1)\/((5*(sqrt(96) + 1*sqrt(96)))\/sqrt(8)))**2 + -2.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -7*i**6\/300 + 13*i**5\/40 - 31*i**4\/20 + 8*i**3\/3 - 8*i**2\/5 + 27*i. Let d(l) = 0. Calculate l.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -272, -1887, -6358, -15113, -29580, -51187, -81362, -121533?\n\"Answer: -238*l**3 + 51*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -5.04. Let b(h) = -h**3 - 18*h**2 + 18*h - 20. Let c be b(-19). Let t(w) = w**2 + w. Let g be t(c). What is the closest to g in 2, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y = -52*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 5*k - 5. Let u = -114 + 108. Let t(h) = h**2 - 5*h - 2 + 3*h + 0*h**2. Let g(y) = u*d(y) + 15*t(y). Let p(f) = 19*f. What is p(g(j))?\nAnswer: -57*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1307 - 1307.20396. Round y to 3 dps.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12060 = -408*y - 396*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*(-18)\/(-660)*28\/(-903). Which is the third biggest value? (a) i (b) 0.06 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*t - 6533 + 328 + 885 = 2122 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 v when three letters picked without replacement from {b: 3, l: 2, e: 5, v: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294\/515 - 3\/103. Let h = 9 + -5. Suppose -2*i + q = h, -2*i + q = 3*i + 13. What is the third biggest value in p, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:54 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:59 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 7*d**4\/6 - d. Let t(u) be the first derivative of u**2 + 455. Calculate t(f(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68.9 + -68.898294. What is c rounded to five dps?\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x - 18, -3*d - x + 6 = 4. What is the third biggest value in 5, d, 0, 210?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 84 = 7*w. Let c be (-2)\/(-8) + (-2)\/8. Suppose 5*u + 2*a - w = 0, 5*a - 7 = 4*u - c*a. Solve u*k = o + 4, -2*o = -3*k + 3*o + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 - 440*l**4 - 2820*l**3 + 1490*l**2 + 22025*l - 20250 = 0.\nAnswer: -81, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 42*z = 11*d - 70940, 5*d - 32234 = 2*z. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 64.8. Let p = w - 22.1. Let d = -93 - -463\/5. Which is the closest to d? (a) 0 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553974 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.115759 to 3 dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1242973\/7376670 + 402\/6505. What is the common denominator of n and 58\/189?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l - 1. Let g(p) = -p**3 + 5*p**2 + 5*p + 13. What is -2*g(h) - 10*o(h)?\nAnswer: 2*h**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1966*l - 37491 = -228193 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*(-11)\/33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:49 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -11176\/67 and -168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, q: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -232?\nAnswer: -119\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 396*a + 194. Let l(j) = -132*j - 65. Let n(y) = 11*l(y) + 4*q(y). Find the first derivative of n(b) wrt b.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182880437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 h when four letters picked without replacement from {m: 7, f: 2, z: 1, q: 2, b: 5, h: 3}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2791 + -5581\/2. Factor 3\/2*w + 3\/2*w**2 + 1\/2*w**3 + m.\nAnswer: (w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccycecryrcir. Give prob of picking 2 y and 1 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 14, -0.15, 3\/2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + (-4 - (3 - 1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5\/3 + 2*m**4\/3 - 32*m**3\/3 - 16*m**2\/3 + 64*m\/3 + 32\/3 = 0.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7656183.\nAnswer: 3, 19, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + 3 + -4 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {y: 8, d: 2, r: 1, l: 2, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n = 415*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3162?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Suppose -8 = -5*o - f - 0*f, u*o = 2*f + 12. Which is the third smallest value? (a) o (b) -0.1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 31\/2536858?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0 + 0*n + 0 + 2 + 148*n. Let l be r(1). Let z be 63\/(-28)*-60*l\/(-27). What is z rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = b + 8, 5*y + 10 = -190*b + 187*b. Are 1\/13418 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(32)\/sqrt(4) + 1 + 3)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 - y - 10. Let l(g) = -g**3 + 86*g**2 - 99*g + 1183. Let u be l(85). Let f(m) = m**3 - 7*m**2 - m - 15. Give u*s(p) + 5*f(p).\nAnswer: -2*p**3 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {k: 1, h: 2, m: 2, i: 2, p: 4, v: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, -0.2, -10\/7, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4868, -4871, -4882, -4901, -4928, -4963?\nAnswer: -5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1465 = 2*x + 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**4\/7 - 92*u**3\/7 - 16*u**2.\nAnswer: -2*u**2*(u + 14)*(3*u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*k**3*y**3 + 2*k**3*y - 62*k**3 + 5386*k*y**3 + 13*k*y**2 wrt k?\nAnswer: 996*k*y**3 + 12*k*y - 372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 7*f**2 - 4*f - 7. Suppose -4 = 5*s - 19. Let x(b) = -2*b**2 + b**2 + 2*b**2 + s + 2*b - b**3 - 4*b**2. Calculate 3*i(j) + 7*x(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 36 = -3*m. Let p(q) = -15*q**2 + 11*q + 11. Let o(a) = -7*a**2 + 5*a + 5. Let n be -2 + ((-253)\/(-46) - 1\/(-2)). Give m*o(g) + n*p(g).\nAnswer: 3*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533899 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*r - 10 = 0, -5*z + 4*r + 0*r + 34 = 0. Suppose 0*b + 5*b = -z. Let q(x) = -x - 4. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 12*r + 11*r + 430 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (5\/(5\/(-44)))\/((-5)\/5) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 + -250. Suppose -120 = -97*s + u*s. What is the smallest common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -59040?\nAnswer: -5903a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kccckcc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 78 (b) -2\/5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u + 49*u + 62*u.\nAnswer: 94*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1626441 * -0.24\nAnswer: -390345.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, -315, 3, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -o + 12, 6*o - 20*k - 20 = -16*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(216)*2 + sqrt(216) - sqrt(216))\/sqrt(8) + (sqrt(27) - sqrt(27)*-1*5))*3)\/((4*2*sqrt(99))\/(2*sqrt(44))).\nAnswer: 5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 32. Let l(c) = 7281*c - 1728. Give -l(o) + 54*t(o).\nAnswer: -7227*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*k - 10*k - 6*k)*(4*k**2 + 0*k**2 - 5*k**2) + 2 - 4*k**3 - 2.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -25, -46, -73, -106?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 1325*p - 1467. Let a(d) = -d**2 - 662*d + 723. Let n(m) = -7*a(m) - 3*y(m). Factor n(u).\nAnswer: (u - 1)*(u + 660)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*q = -q + 35, -i - q - 2 = 0. Suppose -i = 2*g + 39. Let m be (-27)\/g - (3 - 2). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**9\/15120 + i**5\/40 - i**4\/4 - 4*i. Let s(q) be the third derivative of o(q). What is the derivative of s(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 10) to base 5\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 11*a - 56 = 2*a, 0 = -4*v - 4*a - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142684*r**3 + 100143*r**2?\nAnswer: -856104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 4*s - 4. Let k(i) = 3*i**2 - 9*i - 9. Give 4*k(b) - 9*u(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let m(v) = 11*v - 2. Give -4*l(p) + m(p).\nAnswer: 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 10b7?\nAnswer: 10b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-30)*5\/(-1). Let t be f + (-1)\/(-1) + -3. Let i = -5.08 - -0.08. Which is the third smallest value? (a) t (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -17*t - 48, 0 = l - 0*t - 2*t + t + 2 - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Let o(r) = -6*r - 1. Let j(c) = 2*o(c) + 7*y(c). Let t be j(9). Let w(n) = n**3 - 7*n**2 + 5. Let z be w(7). Solve -z*v = -v + t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/((-4)\/(-18)). Let x = -61 + 172. Suppose -4*r + 148 = -v + 4*v, 5*v + x = y*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7216972, 14433949, 21650926, 28867903?\nAnswer: 36084880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9017, 10311, 11605, 12899, 14193, 15487?\nAnswer: 16781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250364096 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 31. What is the closest to 0 in w, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/144 and 5\/82566?\nAnswer: 660528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4051\/2 + 2027. Factor 3\/2*y**2 - 3\/2*y**4 + 0 - t*y**3 + 3\/2*y.\nAnswer: -3*y*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1448*g + 671*g - 15110 = 584*g + 1775 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/((-8)\/(-16)). Suppose 4*s + 2*n = 18, 0 = -s + u*n - 12 + 4. Let j(y) = 4*y**s - 8 + 3 - y**2 + 2 - 3*y. Calculate j(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 341, 682, 1023, 1364, 1705?\n\"Answer: 341*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 11201766.\nAnswer: 33605298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18*6\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 - -5 - 0 - (-5 + 10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16352129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -141?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1357999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Let d(h) = -2*h**3 + h**2 + 4*h. Let v(w) = -7*w - 12*w - 14*w + 25*w + 3*w**3. Let u(x) = 5*d(x) + 3*v(x). What is u(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 158.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 23 = 4*y - 0*y, -2*y + t = 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/5 + 5*k**4\/3 + 400*k**3\/3 - 3000*k**2 + 5*k - 23. Factor o(t).\nAnswer: -4*(t - 10)**2*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 50?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(7 + 2012\/(-288)). Let s be 7\/((6\/(-87))\/(-2)). Suppose 2*b + 23 = s. What is the highest common factor of b and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 1. Let x be t(-4). Suppose 12*v - 880 = x*v. Suppose 5*u = u + v. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20470?\nAnswer: 2, 5, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.522 - 2337.\nAnswer: -2337.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufffvzfzvzffavuz. Give prob of picking 2 v and 1 a.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - (-171)\/15. Let q = -6 + f. Are q and 5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 5246136*s\/5 + 8393792.\nAnswer: 2*(s - 2623060)*(s - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d**2 - 158*d - 43. What is the remainder when 466 is divided by v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*((-10)\/(-8))\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-56) + 12\/(-21). Calculate the common denominator of ((-1)\/(-8))\/((-44)\/(-7128)) and (37\/8)\/(1 + i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/3 + 457*j**2 - 112040*j\/3 + 142096 = 0?\nAnswer: 4, 83, 1284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 24, 25, 28, 33, 40, 49?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 2*j**3 + 4*j**3 + 612*j**2 - 608*j**2 - 2 - 3*j to n*j**2 + t*j + m*j**3 + r and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 248193202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*l*y*z - 2*b*l*y - 2*b*y**2 + 11*b*y*z + 2*b*z + 4*l*y**2 + y*z wrt l?\nAnswer: 2*b*y*z - 2*b*y + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = -4*c, 0 = -0*i + 4*i + 2*c - 10. Suppose -2*p = -p - i. Suppose -35 = -p*s - 39. Which is bigger: -0.3 or s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -851, -1680, -2517, -3368, -4239?\nAnswer: -5136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**2 + 38*d + 4. Let g(i) = -8*i**2 + 37*i + 5. Let t(x) = -3*g(x) + 2*u(x). Let s be t(6). Let y(n) = -5*n - 1. Calculate y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*x**3 - 460*x**2 + 3904*x + 2068.\nAnswer: 4*(x - 47)*(x - 11)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jenjfnffnnejejnnjnnn. What is prob of picking 1 f, 2 j, and 1 n?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22054 + 21849. Which is smaller: -249 or c?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 + 8*t + 1. Let d be l(7). Find the second derivative of d*z + 8*z**5 + z**5 + z**5 - 3*z**5 wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1204)\/(-12) + 2\/3. Suppose 3*v = -2*k + 7*k + n, -4*v - 5*k = -88. Let z = 26 - v. What is the biggest value in z, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 15, 57, 137, 267?\n\"Answer: 2*d**3 + d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*(-38)\/171?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + ((-1)\/3)\/((-3)\/45). Solve -5*b = 5 - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -j + 8, -4*k - j = 8. Let w be k + 2 + 28 + -2. Suppose 7*b - 33 - 135 = 0. Solve -b = 4*n - 2*a - 2*a, -5*n - w = -a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.032275 - -0.167725. Let u(m) = -m**2 - 6*m - 4. Let f be u(-5). Which is the nearest to l? (a) -4 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50496\/88 - (-4 - 84\/(-22)) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**8\/840 - g**7\/420 + g**3 - 2. Let b(w) be the third derivative of v(w). Factor b(r).\nAnswer: -2*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3205198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t - 4\/3*t**3 + 2 + 0*t**2. Differentiate w(q) with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19115, 19116, 19117, 19118, 19119?\nAnswer: 19120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19669 + 19669 + 80*a**3 + 2*a to r*a**2 + l*a + k + i*a**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/184)\/(931\/(-266))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*i + 3790, -5*z - 4*i + 5539 = -3919. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*q - 52*q = -157*q + 544. Calculate the remainder when 107 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:41 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 73*b + 642. Let p be o(-9). Let l(h) = -20*h - 308. Give l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 90. List the prime factors of (-14 + y)*2\/(-8)*-172.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 m when four letters picked without replacement from mhhhoffffmofmhm.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 at least 325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 2 + (-20)\/5. Suppose m*c = 2*c - 286. Suppose -5*f + c = -2. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l + 4. Let j(g) = 6*g - 40. Calculate u(j(n)).\nAnswer: -36*n + 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**3 - 919*m**2*o**3 - m**2 - 1849776*m*o**3 wrt m.\nAnswer: 42*m - 1838*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815850998.\nAnswer: 2, 407925499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -375.552 to the nearest integer.\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6207 (base 8) to base 3\nAnswer: -11101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 49. Let m be y(10). Let l be m + -6 + -2*1. Solve 1 + 2 = l*t - 3*w, -3*w + 1 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222 + 219 - 441 + 297*m to v*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.5 times -408962?\nAnswer: -48053035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + 5*n - 5, -2*d = -2*n + 30. Let v(h) be the third derivative of h**6\/120 + 3*h**5\/20 - 5*h**4\/12 + 2*h**3\/3 + 3657*h**2. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = -5*b, 3*b - 2*b + s = 3. Let z = b + 1. Let d(k) = 29*k - 12. Let v be d(1). Solve -5*y - 3*a + v = a, -a = z*y - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + p. Suppose -v - 3*f + 6 = 0, 0 = -v - 3*v + p*f - 46. Let d = v + 18. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q - 5. Let v(w) = 1. Let a(j) = -5*v(j) - x(j). Let k = 8 + -12. Determine a(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1544, 1540, 1536?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 + 58*t\/11 + 200\/11.\nAnswer: 2*(t + 4)*(t + 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57066085.\nAnswer: 5, 11413217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + 6 + -3) - 5 - (7 - 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -65.\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210907?\nAnswer: 359, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4225 + 4225. Solve -4*y = -0*y - 8, -h - y - 3 = x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**4 + 2*a**4 - 36 + 36 + 2*a**2 wrt a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60011845, 60011848, 60011851, 60011854?\n\"Answer: 3*g + 60011842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -2\/23, -4, 9.6 in ascending order.\nAnswer: -6, -4, -2\/23, 5, 9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3134 + 21?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*m - 68, 2*m + 82 = 3*q + 4*m. Let x = 36 - 24. Calculate the highest common factor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/156 + 7\/13. Which is the smallest value? (a) -5 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 3. Let b be l(-2). Let q be (-2)\/b + 75\/27. Suppose q*u - 2 - 37 = 0. Calculate the highest common factor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/10 - 6\/(-15). Let o be 12\/30 - 56\/t. Let p = -5 + 8. Solve p*f + 5 + 4 = 3*b, -2*f - b = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 20 = -5*z - 2*j, z + 30 = 5*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3404 + 140?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 38543625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 - 437. Suppose g = 254*d - 256*d + 16162. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82946 is divided by 233.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10 + (-183)\/(-30)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 657\/285 + -1 + (-2)\/19.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55082 less than 5063064?\nAnswer: 5063064.55082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Suppose j = -2*j + 24. Let y(u) = -3*u**2 - 8*u - 8. Let q(g) = -2*g**2 - 5*g - 5. Let a(k) = j*q(k) - 5*y(k). What is v(a(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjj when four letters picked without replacement from jjjjgggjgj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8464 and 410136.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39901738 is divided by 2216760?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 4.30083?\nAnswer: -5.30083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3095, 6203, 9293, 12353, 15371?\n\"Answer: -2*b**3 + 3*b**2 + 3113*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.51875us to milliseconds.\nAnswer: 0.00451875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26654194 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 1608*y\/5 - 1604\/5.\nAnswer: -4*(y + 1)*(y + 401)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(5\/40). Suppose -w*b = -2 - 18. Let v(y) = 3*y**2 - 7*y - 2. Is 19 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = h + 6*m - 3*m, h - 2*m - 41 = 0. Suppose 0 = 2*v - 4*r - 44, 4*r - 26 = -2*v + 2*r. Calculate the remainder when h is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 15. Let k(j) = -2*j - w*j + 5*j. Let m(g) = -g. What is -2*k(y) + 5*m(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 19.08. What is the closest to u in -0.5, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 - 5 + 2 - 10*l**2 - 2*l**3 + 3*l to the form g*l**3 + d + i*l + o*l**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112706 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p**4 + 125*p**3 + 1950*p**2 - 18900*p + 29160 = 0. Calculate p.\nAnswer: -27\/2, 2, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4*y - 39 + 35, -5*y = -4*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2 + 1 + 7*w + 5 + 0. Let t be a(-10). Round t to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14036 and 19360.\nAnswer: 561440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 10*p**2 + 2*p - 2. Let s be t(3). Calculate the highest common divisor of s and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from ddxdddzxz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7593611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**5\/20 - t**4\/2 - 14*t. What is u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**5 + 6919*p**2 - 8*p - 1871.\nAnswer: -60*p**3 + 13838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3708 + -4?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 37*s**4\/6 + 463*s**3\/3 - 4664*s**2 + 13145*s\/3 + 731\/6 = 0. What is s?\nAnswer: -43, -1\/37, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/42)\/((-10)\/(-15))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -48 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.042 + -0.758. Let p = -0.3 - r. Let w = -0.2 - 0.3. Which is the biggest value? (a) -3\/2 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 58755\nAnswer: 176265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57132 and 9341082.\nAnswer: 18682164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 56 + 2 = -5*b, 3*b - 83 = -5*x. Suppose -40 = 14*h - x*h. Suppose -2*g = -h, 0 = -2*y + 5*y - g - 35. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2197 - -2200. Sort x, 0.3, 2\/39 in decreasing order.\nAnswer: x, 0.3, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = 6*j + 10*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14594881.\nAnswer: 7, 2084983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m + 1. Let w(l) = -128*l**2 + 10*l + 1. Let z(u) = 6*h(u) - w(u). What is the second derivative of z(d) wrt d?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 z when four letters picked without replacement from {y: 3, z: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207810?\nAnswer: 2, 3, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10.048. What is v rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gquq when four letters picked without replacement from {t: 6, p: 3, m: 2, q: 5, g: 1, u: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -132534.297 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*a)*(-4 + 4 - 5*a**2 + (4*a**2 + 77 - 77)*(1 - 3 + 1) + (a - 5 + 5)*(0*a + 0*a + 2*a)) in the form n*a**2 + r*a**3 + y*a + v and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 23. Give w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*y = 260*y - 176. Let l = -53167\/42218 - -25\/1111. Calculate the common denominator of ((-2398)\/33)\/(y\/3) and l.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9723 - -9728. Which is smaller: h or -1581?\nAnswer: -1581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -99, -218, -385?\n\"Answer: -24*o**2 + o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1614171*c*f**2*z + c + 4765664*f**2 wrt z.\nAnswer: 1614171*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 461, 728, 1021, 1340, 1685?\nAnswer: 2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 19629.\nAnswer: -23\/6543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(2\/144*6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(-32*b - 45 + 45)*(-14 - 36 + 0)*(-b - 1 + 1) to the form o*b**2 + c + g*b and give o.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3 + 13677*i**2 + 13394406*i - 26843544 = 0.\nAnswer: -3133, -1428, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -112121012222 (base 3) in base 11?\nAnswer: -186a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 349, -3?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -51. Suppose 5*q + c*h - 8 = 0, 2*q + 1 = -4*h - h. Differentiate 17*i**2 - 7 - 4*i**q + 4 + 9*i**2 wrt i.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*150\/(-9)*(-153)\/(-34).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 + 2*x**2 - 4*x + 2. Let a(w) = 9*w**3 - 4*w**2 + 7*w - 3. Calculate 4*a(v) + 7*k(v).\nAnswer: v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37416*c + 675 = 37371*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -81. Let s be 1*c + 8\/32*4. Suppose s = 5*n + z - 10 - 4, -10 = -n - 2*z. Solve -n*d = -8, 4*j = 5*d + 4 - 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 65*v - 97. Let q(t) = 27*t - 48. Calculate -4*n(w) + 10*q(w).\nAnswer: 10*w - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v**4 + 1145*v**2 + 0*v**4 - 1143*v**2 - 3*v**4 + 5*v**4 + 3*v**4 - 2*v**4 - 3*v**4 + 3*v**4 + (2 - 2 + 2*v**3)*(-2*v - v + v).\nAnswer: 11*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 5*d, 5*d + 16 = 3*l + 13. Sort -3, 3, 4, d in ascending order.\nAnswer: -3, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833) + sqrt(833) + -1 + sqrt(833) + sqrt(833))*-6 + 3)**2*6.\nAnswer: -217728*sqrt(17) + 46065942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a factor of 486780745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + 4*t + 4. Suppose -5*c + 4*c - 2 = y, 5*y - 2 = -2*c. Calculate the smallest common multiple of 42 and m(c).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245058 is divided by 243291.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010001 (base 2) to base 5.\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 4 - 1\/4*w**4 + 7*w + 5\/2*w**2 + 5\/3*w**3. Let f = 2 + 4. Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 3, x: 3, b: 2, c: 5}. Give prob of sequence bxcb.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9039 to two decimal places.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 125*c + 369. Let r be a(3). Solve -5*x - 5 = -3*m + 12, -3*m + 9 = r*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007636 to 7 decimal places.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2604112, 2604122, 2604146, 2604190, 2604260?\n\"Answer: q**3 + q**2 + 2604110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366353279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14033*j - 398 = -14040*j - 5*x, -j = 5*x - 44 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11277 at most as big as -11460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuzs when four letters picked without replacement from {s: 1, h: 2, z: 1, m: 1, u: 1, i: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -11 - 0 - -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*x**5 - x**2 + 187 + 94*x**5 - 674*x**3 - 225*x**3 + 3*x wrt x?\nAnswer: 120*x**2 - 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 198490, 393008, 587526, 782044, 976562?\n\"Answer: 194518*l + 3972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.46 + 0.46. Let k = 63 + d. Which is the second biggest value? (a) -1\/3 (b) -15 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 16*w**2 - 2. Let y be p(-2). Suppose -4*j - 3*d - 124 = 0, j + j - d + y = 0. Let f = -25 - j. Let c(i) = -2*i - 1. Give c(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*h**3*p**2 - 34*h**3 + 302*p**2 wrt h.\nAnswer: -78*h**2*p**2 - 102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 23.043838\nAnswer: 46.087676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 10*v - 197. Suppose -v*k + 11*k = -7. Let o = 24 - 87\/4. Is o < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*j + 304 = 4*q, 4*q + 5*j - 308 = 0. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3329 + -2732. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10262820 rounded to the nearest 10000?\nAnswer: -10260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/12 - w + 98. Let r(x) = x + 15. Calculate r(v(m)).\nAnswer: -m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uruuuuruuluurmuuuumm. What is prob of sequence mmuu?\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - 20 + 13 + 91*w - 18*w - 53 in the form u*w + z and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 8. Give u(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1935*a**2 + a**4 + 1936*a**2 + 4 - 3869*a**2 - 2*a - 8*a**3 to the form p*a**3 + t*a**4 + c*a**2 + h + m*a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/101 + 508\/303. Let r = q - 4\/3. Let 0 - r*p + 1\/3*p**2 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. What is the biggest value in 0.5, k, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0*d**4 - 97\/6*d**3 - 1\/60*d**5 + 0*d + 65 + 7\/24*d**6 - d**2. Find the first derivative of x(b) wrt b.\nAnswer: 105*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 295, 266, 201, 88?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 27. Let l(q) = 28*q + 79. Let h(i) = 2*l(i) - 7*y(i). Find the first derivative of h(m) wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + w + 3 + 56*w**2.\nAnswer: 56*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z. Let c = 45 + -179\/4. Suppose z - c*l**4 + 1\/4*l**2 - 1\/4*l**3 + 0*l + 1\/4*l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1900) + 1 + (2*sqrt(1900) + sqrt(1900))*-4)*-1)**2 + (sqrt(1900) - (sqrt(1900)*-2 + 3))**2*-4 + 1.\nAnswer: 500*sqrt(19) + 161466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2845, -23185, -78395, -185911, -363169, -627605?\n\"Answer: -2906*t**3 + t**2 - t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 22. Let l(i) = i**3 + 10. Let q be l(0). Let w be x(q). Sort 3, w, -3 in ascending order.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {e: 1, c: 2, t: 1, j: 9, z: 1, l: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 27*n = -4*f + 9, -2*n = -4*f + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278487.\nAnswer: 3, 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4\/3, -1\/2, 0.04, -2, 0.4 in descending order.\nAnswer: 43, 4\/3, 0.4, 0.04, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3)*(2*o + 0*o - o + (1 + 2 + 0)*(-2*o - 4 + 4) - 275 + 275 + 10*o).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7234*c - 2435*c - 2400*c - 2398*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7) - (-1924)\/182. Suppose 5*f = -l, -2*c + 15*f = 20*f - 1006. List the prime factors of c.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7434653t to micrograms.\nAnswer: 743465300000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-885)\/(-826)*(-4)\/6?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 0.1.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and -0.12?\nAnswer: -0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 102 = -32. Let v = 248 - p. Let j = v - 92. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-210)\/100*(-2)\/14. Let k = -7.6 + 8.05. Let h = k + -3.45. Which is the nearest to -2\/3? (a) m (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 0.22, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/3645 and -76\/2187.\nAnswer: 10935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 36. Let r = -20.15 + o. Round r to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*s**2 - 112*s + 116*s**4 + 3 - 6 + 54*s + 7*s**3 + 56*s to m*s**3 + k*s + z*s**4 + g*s**2 + q and give z.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*v - 860 + 105 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from iikiikkikkqiiikii?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 848 = b. Suppose -2*g - 3*g + m + 1066 = 0, 2*m = 4*g - b. What is the common denominator of -53\/2 and (-1)\/(-5) - (g\/40 - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6265 (base 8) to base 2.\nAnswer: 110010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1657 centuries to years.\nAnswer: 16.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 40) + (-1 - -5) + -2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + d = 340738, -3*d = d - 12. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4153614l in millilitres?\nAnswer: 415.3614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 28*p + 10950 = 46*p. Suppose -a = -4*c + 97, -2*c = 3*c - 2*a - 119. Calculate the highest common divisor of c and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-10))\/((-18)\/(-30))*-9. Let r(o) = -o**3 - 6*o**2 - 6*o - 6. Let z be r(-5). Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 25*m**2 - 133*m - 6. Calculate the lowest common multiple of 82 and k(10).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25978534.811564 + -25978606. Let d = 0.109436 + r. Let w = 71 + d. Round w to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10466.1881 to the nearest ten.\nAnswer: -10470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/20 + 2*b**2. Let w(t) be the third derivative of -t**5\/30 - 2*t**2. Calculate j(w(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2646.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -281, -582, -1111, -1892, -2949, -4306, -5987, -8016?\n\"Answer: -4*o**3 - 90*o**2 - 3*o - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 65592*r + 268894404.\nAnswer: 4*(r - 8199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(600) + sqrt(600) + sqrt(600))\/((sqrt(144)*-3)\/sqrt(12))*2.\nAnswer: -40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {j: 1, e: 1, v: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244\/9 or -0.1027?\nAnswer: -0.1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614775.\nAnswer: 3, 5, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:46 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3 + 0*f**2 + 1\/2*f**6 + 0*f**5 + 0*f**4 + 0*f + 3. What is the third derivative of c(w) wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from smmqssnnmsnmmsnmmm.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68128741*g + 59006866 wrt g?\nAnswer: -68128741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmlg when four letters picked without replacement from {m: 3, w: 5, g: 1, l: 1, k: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 6) in base 5?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x. Let p be k(-2). Suppose 5*a = 3*a + p. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9802.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*b**4 - 170 + 57*b**4 + b**3 - 114*b**4 + b**2 to u*b**3 + a*b**4 + c*b + d*b**2 + v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5466.5355*-2\nAnswer: -10933.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227244.\nAnswer: 2, 3, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 10) to base 4.\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22258437 and -2.\nAnswer: 22258435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 17, 1, -3, -2, 2, 354 in decreasing order.\nAnswer: 354, 143, 17, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q - 148. Calculate z(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -101*k**2 + 12*k - 3. Let g be a(3). Let c = 883 - g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 42*i**3 - 39*i**2 + 7*i - 2. Give r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-15) - 9\/15. What is the smallest value in 7, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3177.163 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5373259522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/5 + 124*t**3\/5 - 528*t**2 + 4160*t - 6400.\nAnswer: -2*(t - 20)**3*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)\/(r\/r**(-5\/4))*(r\/(r**(-1)\/r))**(-3\/7)*(r**(2\/3))**(-9)\/(r**(-3)\/(r*r**(4\/7))) assuming r is positive.\nAnswer: r**(-751\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 1, 0.39, 1\/11, -41, -3026, 0.3?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -110732?\nAnswer: -1\/110732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j**5 - 65*j**2 + 25*j - 4 - 625*j**3 + 620*j**3 + 55*j**4 + 14 = 0. What is j?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 110 = 6*r. Solve 0*x + 5 = r*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3741 and -0.1.\nAnswer: -374.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -6. Let p = -6 - -10. Solve 4*a + 8 = p*d, 4*d - 1 - 7 = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 7, l: 5, y: 8}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237*y**3 + 192*y**2 - 364917*y wrt y.\nAnswer: -1422*y + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zzpzpp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -62, -94?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*(-4)\/(-14) + 1. Which is the biggest value? (a) 53 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15 - 6 = 5*d, -4 = 4*w. Put -32, d, 4 in ascending order.\nAnswer: -32, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9567819 days in weeks?\nAnswer: 0.7081117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/4 + 471*y**4\/4 + 17955*y**3\/4 + 153225*y**2\/4 - 637875*y\/2 = 0. What is y?\nAnswer: -105, -30, -27, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + o)*(-4 + 4 - 1) + 2*o - 3 + 3)*(2 - 7 - 2) + 2*o - 3 + 3 in the form q*o + z and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 y, and 1 d when four letters picked without replacement from {w: 6, y: 4, d: 1, p: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 7*z**2 + 8*z - 8. Let i be h(6). Suppose -3*f - 2*c + 433 = 0, f - i*c = -3*c + 146. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 5*x**2 - 2*x + 3. Let y(u) = 3*u**3 + 11*u**2 + 5*u - 7. Let c(g) = 7*a(g) + 3*y(g). Give c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/((-11)\/(-22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 2*u. Let c be i(3). Let l = 4.8 - 5.8. What is the smallest value in 1, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 4*p**6\/3 - 17*p**2 + 30. Find the second derivative of h(n) wrt n.\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 61*h - 370 = q + 42, -4*h = -q + 2*q - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-55)*3\/(45\/(-2))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*f**2 + 406*f**2 + 502*f**2.\nAnswer: 550*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/3 + (-4 - 1). Let d be 2*(1 - o\/(-6)). Determine x so that -d - 2\/3*x - 1\/3*x**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*n**4 + 2*n**2 + 15*n.\nAnswer: -600*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-628*d - 4117*d + 2 - 4*d**2 + 3*d**2).\nAnswer: d**2 + 4745*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 7*j**2 + 6*j + 7. What is the remainder when 25 is divided by m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + (-2 - (-25 + 30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4, 3*l + l - i = -1937. Let w = -163 - l. Let d = w + -127. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 7, w: 2, m: 1, a: 7}. Give prob of sequence awcw.\nAnswer: 49\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/18)*m)\/m*m\/m**(12\/13)*(m**11)**33 assuming m is positive.\nAnswer: m**(84973\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*n**2*y**2 + 2633411*n**2*y - 28258*n*y**2 - 2*n*y - 166*y**2 - y wrt n.\nAnswer: -44*y**2 + 5266822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -388\/5*r + 1316\/5*r**2 + 196\/5*r**3 + 28\/5 = 0.\nAnswer: -7, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 935\/2 - 480. Suppose -2*y - 5*s - 23 = 0, -2*y - 16 = -y + 4*s. Calculate the common denominator of (y\/30)\/((-36)\/(-15)) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 159313.\nAnswer: 159313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -85. Suppose b*f = -0*f + z + 66, 43 = f - 3*z. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.8. Sort 2, q, -2 in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*s = -80, -3*l + 2*s + 50 = -0*s. Let k(m) = m + 21 + 3*m - 3*m - l. Suppose 2*r - 6*p = -2*p + 20, 3*r = 5*p + 25. Give k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -31*o. Let d(j) = -7*j**2 + 6*j - 6. Let q(s) = s**2 - s - 1. Let r(y) = -d(y) - 6*q(y). Let b(h) be the first derivative of r(h). Give f(b(p)).\nAnswer: -62*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-8)*z)\/(z**5\/z))\/(z**(2\/23)*z**(-2\/21)) assuming z is positive.\nAnswer: z**(2902\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/8*2159)\/((-22)\/88). Suppose 14*g = -3*g + p. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5952 and -65\/44.\nAnswer: 65472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 47 + 16*k - 17 - 291*k**4 + 262*k**4 - 1753*k**4 + 2*k**2 wrt k?\nAnswer: -42768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169 or -170?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 164, 4, -5 in ascending order.\nAnswer: -5, 2, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -242*a**5 - 6780*a**4\/7 - 6792*a**3\/7 - 16*a**2\/7 = 0.\nAnswer: -2, -2\/847, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6)\/(6\/(-8)). Suppose -5*y - o = -28, -4*y + h*y - 5 = -5*o. Suppose -y*q + 84 = -q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*y - 22. Calculate the highest common divisor of 120 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3175*c**4 - 3*c**3 - 2*c + 34809 wrt c.\nAnswer: 12700*c**3 - 9*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, z: 7, v: 6, d: 1}. Give prob of picking 1 v, 2 n, and 1 d.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*h**2 - 4 + 2 + 9*h**2 - 3*h**2 + 5*h**2 + (0*h + h + h)*(-3*h + h + h) to v*h**2 + i + u*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -n, 3*r - 1 - 1 = 5*n. Let b be -550*(r + -40 + 1). What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 143. Suppose 11 = -a - 5*w, 30*a - 35 = h*a + 5*w. Solve -u + 1 = -a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -228917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 + (5 - -12) - 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 163 = 40 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -207*s - 528. List the prime factors of v(-24).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*z - 2)*(-4 - 15 - 4)*(-7*z**2 + 2*z**2 + z**2)*(4 + 2*z - 4) to h*z + y*z**3 + i + v*z**2 + t*z**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572634507 to the power of 1\/3, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(2*3\/42). Let a = -76 - y. Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150.8 + -151. Which is the closest to 0.2? (a) -3\/7 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 8*q. Let v be 4\/(-20) - (-123)\/15. Let b be i(v). Determine r, given that -1\/3*r**2 + b + 1\/3*r**3 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*d + 15 = 0, -18 = -4*n + 2*n + 2*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:31 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = 2*u - 0, 4 = -4*h. Suppose 0 = -0*p + 2*p - 16. Calculate the remainder when 6*(75\/u)\/(-5) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1900)*-1 + sqrt(1900) - (-1 + 1 + sqrt(1900) + sqrt(1900)))**2 - (sqrt(1900) - (2*sqrt(1900))**2)*2*6.\nAnswer: -120*sqrt(19) + 138700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p**3 + 21*p - 21*p.\nAnswer: 96*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84335291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -38) + (23 - (-5 - -6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (2 + (-33 - -10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c**2 + 145*c + 60. Let l be v(8). Let u(n) be the second derivative of 7\/12*n**l + 0*n**3 + 0*n**2 + 0 + 11*n. Let i(b) = 2*b. Give u(i(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -536 or -535?\nAnswer: -536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((36\/(-30))\/(1\/(-5)) + -3). Suppose 4*q = q + 6. Solve -q*t - 20 + 24 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2392 and 33592.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, w: 5}. What is prob of picking 1 w and 3 a?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -0.7359.\nAnswer: -14.7359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/456288 and -37\/22.\nAnswer: 5019168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/569299 and 43\/54.\nAnswer: 30742146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 383\/16 - -9\/16. Let j = a + -24. Find u such that -7\/2*u**4 + 11\/4*u + 13\/2*u**3 - j - 6*u**2 + 3\/4*u**5 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqqbbbbb. What is prob of sequence bbb?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -0.0377732908.\nAnswer: -3.0377732908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62378.07 millennia in years?\nAnswer: 62378070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -646514*p**3 + 74633*p + 3 wrt p.\nAnswer: -3879084*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 2:42 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6240 divided by 3120\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9040640 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 8*q - 64.\nAnswer: 2*(q - 4)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, 1336, 1, 5, -8, -0.2 in increasing order.\nAnswer: -14, -8, -1, -0.2, 1, 5, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3944*h**3 - h + 6*h**2 - 3969*h**3 - 8*h**2 to k + x*h**2 + l*h + t*h**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1574758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -182861 >= -182947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose x + l*x = -12. Let f be x\/(-6) + (-8)\/(-6). Solve 6 = f*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 + 3*m**4\/4 + m**3 - m**2\/2 + 113*m. Calculate y(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8) - 2\/1. What is the fourth smallest value in 4, 0.3, q, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4425473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 6:26 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 920860, 1841712, 2762548, 3683368, 4604172?\n\"Answer: -8*v**2 + 920876*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 7*t**3 - 6*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 6, 84, 224, 444?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003669 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 15 = -n, -358928*g + 2*n + 180 = -358966*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -36. Let h be -1*(1 - p)\/(6 - 5). Suppose h*u - 14520 = -6*u. Round u to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2156000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146398 is divided by 400.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -17. Suppose -5*b + r = -2*b. Suppose x = -3*x + b. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) 2833.69 (c) -0.5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422\/45 - -48\/5. Let z = -110 - 51. Let r = 163 + z. What is the second biggest value in 1\/6, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1006, -1775, -2544, -3313?\n\"Answer: -769*b - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43754, -43796, -43866, -43964, -44090, -44244, -44426?\n\"Answer: -14*g**2 - 43740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -7*a**2\/2 + 6*a - 15. Let k(r) = -2 + 4 + r - 1 - 2. What is -5*k(j) - t(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.274, 10967, 2\/3 in decreasing order.\nAnswer: 10967, 2\/3, -0.274, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 10820.\nAnswer: 551820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -174*o + 1384. Let a be i(8). Put a, 51, -1\/3 in ascending order.\nAnswer: a, -1\/3, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 - q + 3*q**3 + 2*q**3 - 2*q**3 + q**3 - q**3 + (-5*q - 4 + 4)*(0*q**2 + 3*q**2 - 6*q**2).\nAnswer: 15*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.2, 1\/2, 3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*w + 44*w - 1419 = 64*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -336545 less than 33941402.4?\nAnswer: 34277947.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22411 by 65.\nAnswer: 22411\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 22 - (417 + -453).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 + 1130*x - 1130*x.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:31 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**7\/525 - 7*q**6\/150 + 17*q**5\/150 + q**4\/2 - 236*q**2 - 1. Let z(y) = 0. What is y?\nAnswer: -15, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from ourxqbb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 318 + -319.726. Let s = a - -1.7. Let y = -0.756 - s. What is y rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 134226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46920*t**2 - 95402?\nAnswer: -93840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -58. What is the closest to s in 3.2, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 320*x + 829 wrt x.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2111382 divided by -13.\nAnswer: -162414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4776 by 1.\nAnswer: -4776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 626235?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:21 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - 1010000101?\nAnswer: -1010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 3835 - 3565 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f**3*l**2 + 15*f**3*l + f**2 - 5*l**2 - 54*l wrt f?\nAnswer: 204*l**2 + 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75725401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 13 + 11 = 0. Let i = g + 15. Suppose i = 5*t + 3*o, -3*t - 5*o + 11 = -0*o. Solve -2*b - t*b + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -80. Which is the second smallest 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 w(q) = 4250*q**2 - 36*q + 1. Let b be w(-1). Let t = -2903 + b. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -0*g. Let w = 23 + -12. Solve -4*f - 27 + w = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.924 - -0.806. Round a to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185467722 and 748.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 40546.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12291)\/(-30) - (-1)\/6. Let z = d + -410. Let y = -1 - -0.9. Sort z, y, 3 in descending order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565.506993 - 565.5. What is t rounded to 4 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -152*q + 1353 + 18407. What is the highest common factor of q and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 472 - 471.99. Which is greater: x or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1077238725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1119 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, 6, 5\/86, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32806 and 114727.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 4 - 7 - (-4750 - -4752)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084 * 4.34906.\nAnswer: 0.36532104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 12*y - 10*y + 3*b, 0 = 4*y + 4*b + 64. Put y, 5, 1 in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -10, -2\/251?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102483287 or 102483289?\nAnswer: 102483289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(5\/15). Let h(w) = -w**3 - 3*w**2 - 4*w - 3. Let r be h(n). Solve 14 = -3*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a + 10 = 0, -4*r + 8 = 4*a. Suppose i + 1 = 4. Suppose r = 2*y - c + i*c - 2, 15 = -3*y + 3*c. Put 2, y, -1 in decreasing order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1)\/sqrt(3))**2 + -4 + sqrt(72) + 0 + (-4*sqrt(8)\/sqrt(4) + sqrt(2))**2.\nAnswer: 6*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-273 - -268)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = i - 3429, -2*d = -0*i + 3*i - 10320. Let j be (i\/105)\/(1\/(-5)). Let q = j + 164. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977041139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.11.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474 - -843. Does 41 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 16. Let k be (16\/a)\/(4\/(-78)). Let p = -59 + k. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*h + 21. Let p(c) = -7*c**h + 7*c**3 - c**2 - c**3 + 1. Let s = -1 + 2. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9*g + 1337 = 0. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 835 + -447. Let d = -134 + w. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l - 6. Let c be q(-5). Suppose -g = c*y - 7, -4*g = 8 + 12. What is the nearest to -2\/3 in -5, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -12. Let o = -23 - z. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f**2 - f. Let w be x(-6). Let a = w + 29. Let h(n) = -2*n**3 + n**2 + 2*n. Let p(z) = -z**2 - 1. Give a*h(v) - p(v).\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - p - 9 = 0, -5*p = 249 - 244 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33766415 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -2430, 3, 14.\nAnswer: -2430, -5, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21901066 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(1728\/(-160))*1*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 + 2*p**2 + 4*p = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/15 - 1157*c**5\/10 - 578*c**4\/3 - 31*c + 76. Solve m(k) = 0 for k.\nAnswer: -1156, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 83*g**3\/6 - 434*g. Let t(a) = -a. Let u(y) = 5*y. Let d(c) = -9*t(c) - 2*u(c). Give d(i(x)).\nAnswer: -83*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5644*v. Let j(q) = -946 + 1917 + 2*q - 971. Calculate j(o(w)).\nAnswer: 11288*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 51*z**2 - 90*z - 648.\nAnswer: 3*(z - 4)*(z + 3)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2. Let k(n) be the third derivative of n**7\/420 + n**4\/3 - 12*n**2. Let b(r) be the second derivative of k(r). Calculate j(b(z)).\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 2*o, -2*i + 5 = -40*o + 35*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 7 = -12*d. Let i be (1\/10)\/(d*6\/(-252)). Let q = 351 - 2101\/6. Sort 4, i, q, -3 in increasing order.\nAnswer: -3, i, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -50. Let i = d - -53. Let u = i + 8. Solve -g - 4 + u = -2*l, 2*g = -4*l - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {x: 2, o: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 92\/30)*6. Let o be 24\/(-10) + 3\/(-5). Let f be 0 + -2 + o\/(-2). Which is the third smallest value? (a) -5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(10\/9)*m**(-3))\/((m\/m**10*m)\/(m\/m**(-2\/23)*m)))**(8\/5) assuming m is positive.\nAnswer: m**(13576\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/3 - 21*f**2\/2 + 110*f + 7. Let b be z(9). Which is smaller: 24\/37 or b?\nAnswer: 24\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + n - 1. Let q be i(-2). Let v = 41.2 + 0.8. Let l = v + -42.5. Which is the closest to -1? (a) l (b) 8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*s**6 - 2573*s**5 - 10*s**3 + 2*s**2 + 26498018*s.\nAnswer: -15360*s**3 - 154380*s**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 230, 234, 240, 248, 258?\n\"Answer: q**2 + q + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77200.1637 + 77208. Round j to 1 dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1890 + 1889.997296. What is w rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 22. Let h be z(-14). Suppose 2*f = 2*b - 3*b + 18, -h = -4*b + 2*f. Suppose 3*i - 2*i - b = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from ccxxx.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/9, 0.1, 0.2, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 8*a - 10. What is n(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 11. Suppose -c - 4 = w. Let a = c - -7. Let n(j) = -j**2 - j. What is n(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 569, -0.04, 1, -2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 761*f**2\/2 + 143055*f\/4 - 816075.\nAnswer: -(f - 45)**2*(f + 1612)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0 + 0*u**2 + 1\/12*u**4 + 1\/3*u**3 + 2*u. What is the second derivative of x(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {g: 6, f: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = -27*o - 522 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*q - 1493*q + 6*p - 3*p - 2 + 28 + 22 = 0, 2*q + 5*p + 2 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**19\/(((x*(x*x**(-6))\/x*x)\/x*x)\/x))\/(x**(-33))**(2\/55) assuming x is positive.\nAnswer: x**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2. Let y(x) = -4*x**2 - x - 9. Let j(g) = -151*g**2 + 3*g + 16. Let m(n) = j(n) + 3*y(n). Determine o(m(l)).\nAnswer: 53138*l**4 + 7172*l**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o - 10. Give d(9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-1482))\/(4\/52)*(-4)\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 1 + 2*k**3 + 2)*(3 + 2 - 3)*(-4 + 7 - 26)*(-1 - 2 + 5).\nAnswer: -92*k**3 - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 479, 519, 595, 719, 903, 1159?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54.37 + -3073.37. Let u = q - -3059.66. Let t = u - 41. Round t to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 215*m = 212*m - 23, 4*z - 440 = -1534*m + 1582*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p - 2. Let k(n) = -5*n + 1. Suppose -6*d + 5 = -7. Suppose 0 = d*o - 0*o - 8. Let t(x) = 3*x**2 - 13*x - 21. Let y be t(6). Give o*m(r) + y*k(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9318061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33 + 5174\/(-1560)*-20\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-6))*1. Let j = 0.284 + -0.184. Which is the closest to j? (a) 1\/3 (b) y (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -135*z - 378. Give m(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 13*k**2 - 16*k - 8. Let z be m(-12). Suppose 3*b - z = -b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**2 - 2*y + 1. Let i be 68\/(-20) - (-2)\/5. Let z be i\/1 - (2 + -6). What is the tens digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 - -14 - (57 - 47))) + 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m + 4. Let x(g) = -3*g**2 - 15*g - 13. Determine 7*p(y) + 2*x(y).\nAnswer: y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 1000000110000111?\nAnswer: 1000000110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 bigger than 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -15. Let g(w) be the second derivative of 0 + 2\/7*w**2 - 1\/7*w**y + 1\/42*w**4 + w. Suppose g(c) = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 3. Let o be d(1). Suppose -2*q + 30 = -4*r, q - 10 - 2 = -r. Suppose 0 = -5*f - 3 + q. Solve 5*m - o = a - 5*a, f*a + m = 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 764920 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 1. Let v(u) = -186*u - 166. Let m(i) = 3*k(i) - v(i). Differentiate m(x) wrt x.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136422921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 3 - 2*y**2 + 5*y**2 + (-1 + y + 1)*(-2*y + 0*y + y) + y**2 + 3*y**2 - 6*y**2 in the form g + d*y**2 + r*y and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415210 (base 11) to base 2.\nAnswer: 10100010100010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37502 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -2, 1, 32, -1 in descending order.\nAnswer: 158, 32, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2267 minus 14140.318767?\nAnswer: -14140.092067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/69, -1\/3, 2\/73, 2\/5, 3, -4\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)*o**(-2))\/(o\/o**(1\/4)*o*(o*o**(-4\/9))\/o))**(-2\/19) assuming o is positive.\nAnswer: o**(227\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -42*(-10)\/7*(-27)\/(-54)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + 12 - 4 - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (55\/2)\/(-11)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 2*r + 9. Let b be q(0). Suppose 4*z - b*z = -155. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence advv when four letters picked without replacement from evaabdvbababva?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 31*y**4\/4 - 2*y**3\/3 + 67*y**2\/2 + 1. What is the second derivative of m(n) wrt n?\nAnswer: 186*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -0*k - 7*k. Suppose -3*f = 7*f + k. Which is smaller: -26 or f?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 117 = -11*z + 16*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k - 13. Let v be y(-9). Let s = v + 271. Calculate the common denominator of -95\/8 and (-4)\/6 + 574\/s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53325?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k - 1596 - 764 = 0. Calculate the remainder when 7519 is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 209*s**3\/3 + 7*s**2\/2 - 9*s - 544. What is the second derivative of h(i) wrt i?\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 16*y = 0. Suppose 2*q - 410 = -2*i, y = -i - 5*q + 133 + 60. Suppose 0 = -13*f + 17*f - i. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561330 divided by -77?\nAnswer: -7290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19000571.\nAnswer: 19000571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19409 * 19.7\nAnswer: 382357.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 559 + 19?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2))**29)**(-2\/33))**(-24) assuming w is positive.\nAnswer: w**(-464\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2013312, 5, -10.\nAnswer: -2013312, -10, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g - 1. Let d be m(2). Let h be 8*(d\/6 + -4). Let o be 1\/((-4)\/34) - h. Is o > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887740.\nAnswer: 2, 3, 5, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 21 = -19*z. Calculate the highest common divisor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l + 0*l)*(0*l**4 + 9*l**4 - 2*l**4 + (4 - 5 + 4)*(3*l**4 - 8*l**4 - 5*l**4)).\nAnswer: -92*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861621 is divided by 216.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {a: 4, t: 11, f: 4}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -891 + 5?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 3*q**2 + 3*q**2 + (-364*q + 49*q - 746*q)*(1 - q - 1) as y*q**2 + k*q + o and give y.\nAnswer: 1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3654718\/167 or 21886?\nAnswer: 21886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 8*t - 1. Let f be u(-4). List the prime factors of (f\/10)\/((-3)\/(-146)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 + -182. Determine j so that -9 + 20*j**2 - 2*j**b - 8*j - 56*j + 73 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from jhhmchzqhhqmhqhhzhm.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-19\/4)*u*u)\/u*u)**18 assuming u is positive.\nAnswer: u**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 3}. Give prob of sequence cwww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -3*d**3\/2 + 5*d**2\/2 + 7*d. Let x(u) = -4*u + 2. Determine 6*r(f) - 14*x(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 32845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkpkoxkoxxo. Give prob of sequence xpok.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 294020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let k be j(6). Suppose -4*a = -36 - k. Solve 8 = 5*r - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/3, -1\/4, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 2*q + 2. Suppose 5*t + 4*m + m = 20, 2*t - 5*m = 1. Let s(d) = 1 - t*d**2 + 0 - 5 + 3*d. Determine -3*s(o) - 5*x(o).\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 1 + 193*j**2 + 116*j - 193*j**2 - 96*j**5 wrt j.\nAnswer: -1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458672, -458673, -458674?\nAnswer: -458675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k - k + 0*k)*(-k + 0*k + 7*k) - 3*k**2 - 7*k + 7*k)*(4 - 4 - 4*k + 3*k - 2*k + 0*k + (-2 - 2 + 5)*(-1 + 1 + k) + k + 85 - 85).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(9\/8)*t)**7)**(-47) assuming t is positive.\nAnswer: t**(-4935\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -143667345 divided by 2\nAnswer: -143667345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -52. Calculate the greatest common factor of f and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**10\/50400 + k**6\/360 - k**5\/15 + 5*k**2. Let t(g) be the third derivative of y(g). What is the derivative of t(b) wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + -311?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xxxoxxxxxoxxxoxooxo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 39\/(-21))*(-840)\/80?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23457 - -23454. Put 5, h, -184, -5 in increasing order.\nAnswer: -184, -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 + 1062\/5. Let s = -0.63 + 3.73. Let g = -0.1 + s. Which is the third smallest value? (a) 5 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/120 - l**5\/60 - l**4\/24 + 45*l**3\/2 + 24*l**2. What are the prime factors of y(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 39. Let g be (-1250)\/325 - 12\/3*-1. Put g, z, -1\/3, -4 in ascending order.\nAnswer: -4, -1\/3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjzj. What is prob of sequence zjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 2)*(-4*l - 2*l + 5*l)*(l**2 - 1 + 1)*(-7 - 2 - 6) as p + i*l + o*l**3 + q*l**2 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from dnuundduunn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 - 0.269. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba37 (base 15) to base 10.\nAnswer: -39427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 at most as big as 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, x: 3, b: 2, r: 4}. What is prob of picking 1 b and 1 a?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-42 + 42 - 6*r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 31*h - 79. Let x be j(28). Suppose 3*q - q - 85 = -5*c, 0 = -3*q - 4*c + 117. Calculate the greatest common factor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*495\/(-66) - -7. Let r(x) = 3*x**3 - 3*x**2 + 4*x - 2. Give r(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-2)*t*t))*t*t**(-2\/9))\/(t*t**(-2\/7)\/t)**(36\/5))\/((t**(-4)\/t)\/t**6)**(-5\/9) assuming t is positive.\nAnswer: t**(-239\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 55*d**5 - 280*d**4 + 185*d**3 + 280*d**2 - 240*d = 0.\nAnswer: -1, 0, 1, 12\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(17)*-2)**2 - (sqrt(17) - (sqrt(17) - sqrt(34)\/sqrt(2)))*-5.\nAnswer: 5*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:08 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t - 1. Suppose 6*r + 5 = r. Is g(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246208 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (-10 + -53) - (-9 + -2 + -7)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7395*m + 661. Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 + -2.4. Let i = 1.96 + 0.04. Let q = 3 - 0. What is the nearest to 0 in q, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 3\/(-9))*-813. Let v = k + 1361\/5. Is 0 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.1 (b) -302 (c) -1\/23 (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.094.\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*l - 12*d**3 + 90*d**2*l wrt d.\nAnswer: 72*d*l - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 - 7*p. Let a be v(-5). Let m(x) = x**2 - 12*x - 24. Let s be m(14). Suppose -a = -s*z + 47. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by (-2 - -3) + (-162)\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48117\/387 - 2*2\/12.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.09 (b) 5 (c) 134 (d) -1\/7 (e) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2028*g - 178 = -1939*g. Let u = 4 + 1. What is the closest to 3 in u, g, -2\/35?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83051 divided by -1100\nAnswer: 83051\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 40. Let h = x + -5. Find the third derivative of 5*b**2 - 40*b**3 + 40*b**3 + h*b**5 wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 2*p + 1. Let v be h(-1). Suppose 0 = -v*y + 7 + 11. Let m = -14 + y. Sort m, -4, -3\/7 in increasing order.\nAnswer: m, -4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - y + 9 + 2, 5*v = 5*y + 5. What is the greatest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -100, -179, -240, -253, -188, -15, 296?\n\"Answer: 5*y**3 - 36*y**2 + 6*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (90 - (-2 + -1)) + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*a**2*z**3 - 12*a**2*z - 2264*a**2 + 27*a*z**3 + 27*a*z**2 - 8*a*z - a - 22 wrt a?\nAnswer: 296*z**3 - 24*z - 4528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12)*s*(s**(-6)*s*s)\/s)**(8\/19)\/(s**(-5\/6)*s**(-2\/13))**(-10\/11) assuming s is positive.\nAnswer: s**(-1939\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 5. Let v(z) = z + 12. Let g be v(-8). Suppose 0 = 3*t + a - 12, 4*t + g*a - 6*a = 16. Let l be b(t). Solve 0 = -l*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36383515*g**3 - 6416569*g**2?\nAnswer: -218301090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 - 6*l + 7. Let o be p(5). Let x be 122*o*2\/8. Let h(d) = 61 - x + 4*d. Let v(a) = -3*a**2. What is v(h(s))?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -35. Let q(y) = 4 + 6*y - 1 - 5*y + 3. Calculate the least common multiple of q(z) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 26*w - 25. Determine v(18).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 - 34. Let l(z) = 29*z**2 - 67. Calculate 9*k(o) - 4*l(o).\nAnswer: o**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from vvininiiv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -182651, -182074, -181113, -179768, -178039?\n\"Answer: 192*s**2 + s - 182844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4101202 (base 5) to base 2.\nAnswer: -10000000100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 172?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -410 - -594. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/(d**(-2\/25)\/d))**(-33) assuming d is positive.\nAnswer: d**(-8316\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - l + l + (l**2 - 1 + 1)*(-5 + 5 + l) - 2*l**2 + 4*l**3 - 8*l**3 + 9*l**3.\nAnswer: 4*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-208) + (-98)\/(-80))\/((-50)\/(-50))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30508047 (base 9) to base 16.\nAnswer: df8aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 - -0.51. Let w = -1 - -6. Let b(j) = j**3 - 5*j**2 + 4. Let o be b(w). What is the smallest value in 1, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14664595 and 5445?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 - 74. Let z be (-41517)\/11 - 6\/v. Let i = -3772 - z. Calculate the common denominator of 49\/6 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**2 - 2*j**2 - 9*j**5 + 6*j**5 wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131255.\nAnswer: 5, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19532*x + 19527*x - 25*r = 880, -3*r = -2*x + 103 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -5*l + 3*f - 7810, -3*f - 23394 = -3*l. Suppose l = 7*z + 640. Suppose -597 = -4*j + z. What is the highest common divisor of j and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 9*g**2 - 22*g + 6. Calculate q(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5254, -4, 6 in increasing order.\nAnswer: -4, 2, 6, 5254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48 times 926144\nAnswer: 44454912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -16, 1\/8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 5*i - i**2 - 3*i**2 + 2*i**2. Let v(j) be the second derivative of -j**4\/12 + 2*j**3\/3 - 2*j. Give 3*q(h) + 4*v(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3 - (-1)\/7)\/(5202\/(-169932))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 0 - 96 + 6*l**2 - 3*l**2.\nAnswer: l**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 7, -4, 2, 17 in decreasing order.\nAnswer: 17, 7, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 352, 775, 1266, 1819?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16252 + -82?\nAnswer: -162d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 22. Suppose -4*w = -3*d + 28, 0*d - 3*w + 21 = 3*d. Let k be b(d). Suppose 0 = k*a - 6*a + 5*g + 784, 5*a - 967 = 3*g. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3\/2*l**2 + l + 1. Differentiate k(n) wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 59*r**6\/3 - 95*r**2 - 22. Find the second derivative of q(j) wrt j.\nAnswer: 2360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -61504*h. Let b(t) = -4*t**2. Give n(b(w)).\nAnswer: 246016*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/13, 40\/11, -0.1, 5, -6 in descending order.\nAnswer: 5, 40\/11, 2, -0.1, -3\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 96 - 33 = -3*c, -5*c - 3*p + 225 = 0. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9300.66l?\nAnswer: 9300660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005057 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19779 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374 - 98. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 3*i + 26*i**3 - i + 2 + 5*i**4 - 2*i**3 - i**2 to the form k + j*i + b*i**3 + t*i**4 + n*i**2 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204964 divided by 1051241?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 22*n**2 + 3*n - 20*n**2 - 4*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + k. What is the tens digit of 154 - -4 - (6\/(-2) + k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4*b = 2*u, -4*b = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*c + 12, 7*p = 2*p + c + 16. Let m be ((-2)\/(-6)*(-54)\/p)\/3. Let o = 307\/7 - 44. What is the third smallest value in m, 0.1, 3\/2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0167 * -0.3.\nAnswer: 0.00501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2379, -4764, -7177, -9618, -12087, -14584?\nAnswer: -17109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 14*n**4\/5 - 29*n**3\/5 - 54*n**2\/5 + 116*n\/5 - 8\/5 = 0.\nAnswer: -2, 1\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - (-23 - -21). Let m be 252\/189 - (-80)\/y. Solve -m + 27 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 18*y + 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866815, 866874, 866979, 867136, 867351, 867630, 867979?\nAnswer: 868404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 5*m**8\/56 + 19*m**4\/12 - 21*m. Find the third derivative of o(p) wrt p.\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -14 + 28 + -14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 + 11017*y + 360165 = 0.\nAnswer: -65\/2, 5541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - n + 8 = 0, 5*n + 41194 = 8*b + 41212 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 186252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a9864 + -47?\nAnswer: 5a981a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*((sqrt(1008) + -1 - sqrt(1008)) + sqrt(1008) + 5 + 1))**2.\nAnswer: 936*sqrt(7) + 9241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7 - 34.9. Let p = q + 41. What is the second biggest value in -0.1, -0.03, p?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from krakmkwttmm.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9487520 and 1075?\nAnswer: 47437600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2417 + 5?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = -w. Let t be (-2 + 3)\/(w\/(-6)). Let k(n) = -37*n**2 + 12*n - 9. Let y(o) = -13*o**2 + 4*o - 3. Let i(v) = -6*k(v) + 17*y(v). What is i(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39348263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15027 (b) 1.4 (c) 0.1 (d) 1\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-1) + -1 + 6. Let n be 2*w\/(-4)*433\/(-2). Let z = -108 + n. Which is the closest to z? (a) -1\/2 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-596)\/120)\/(-8 + (-288)\/(-40)) and -151\/138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2137\/54 - 2\/4 - 107450\/1450575?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1256027*s. Let f(w) = -10*w**2 + 11. Give f(c(r)).\nAnswer: -15776038247290*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -161129780.\nAnswer: -161129780.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 241909.4 kilometers in millimeters?\nAnswer: 241909400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 27. Let f be i(31). Suppose -249984 = z + f*o, 0 = -4*z - 5*o - 772052 - 227928. Round z to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5994.36571 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 4959?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 2. Let r = -21 - -17. Calculate d(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -7. Let m(l) = 0*l - 3*l - 3*l. Let j(s) = s. Let a(o) = -28*j(o) - 4*m(o). Give a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190184 = -113*g + 192218 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*((-2915)\/(-22))\/53\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11051 and 3222.\nAnswer: 356.06322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvv. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.49 (b) -0.103 (c) -13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fndmbmbffbfp. What is prob of sequence fdnp?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -602*d + 997*d - 394*d. Let c(o) = -139*o**2 - 3. What is t(c(g))?\nAnswer: -139*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtvmhvam. Give prob of picking 1 m and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 171*o - 816. Let h be a(5). Let c(p) be the second derivative of -h*p + 0 - 4*p**2 + 1\/6*p**3. Give c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7160, 7129, 7100, 7073, 7048, 7025, 7004?\nAnswer: 6985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kknk when four letters picked without replacement from kkkknkkkkkknnkknkk.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/p)\/p**(2\/5)*(p**(2\/27)*p)\/(p\/p**(1\/3))*((p**(-9)\/p*p)\/(p\/p**(1\/16)))**(-3\/5) assuming p is positive.\nAnswer: p**(2093\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755600280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -281, -507, -733, -959?\n\"Answer: -226*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-3)\/1233) + 0\/8. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 15*s**2 - 15*s**2 - 163794*s**3.\nAnswer: -163794*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4)\/(351\/(-312)). Which is the third biggest value? (a) 0.06 (b) k (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = 5. Let q(r) = -3*r**2 - 2*r - 10. Let v(o) = 8*o**2 + 7*o + 30. Let b(f) = t*v(f) + 7*q(f). Find the first derivative of b(s) wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -4*sqrt(17)*-3 - (sqrt(51)\/sqrt(75) + sqrt(17)))**2.\nAnswer: 59177\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.28 - -55.28. Let k = -53.39 + p. Let h = -0.61000058 + k. What is h rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-31)\/i*i**(6\/17) assuming i is positive.\nAnswer: i**(-538\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38\/18135 or 0?\nAnswer: 38\/18135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 6. Which is the smallest value? (a) p (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405498965 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 != 10\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y + 14, -2*y - 8*p = -3*p + 4. Suppose 0 = -y*l - 0*l + 5*c + 442, 2*c - 470 = -3*l. Suppose 0 = -5*a, 5*a - l + 20 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 11 - 7. Suppose -2*t - 2*v = 6, -4*t - q*v = 9 - 3. Suppose -5*a - 4*o - 4 = 1, -a - 7 = 2*o. Solve 0 = 3*p - a - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16259)\/(-5267) - (-2 + (-48)\/(-23)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105966 divided by -609?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1415664, -2831299, -4246928, -5662551, -7078168?\nAnswer: -8493779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3603019 divided by 161.\nAnswer: 22379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33782 and 4389.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 235.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ododooddxogodhdoo. What is prob of picking 1 d, 1 x, and 1 h?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 8. Let u(j) = j**3 + j. Let n(t) = -4*t**3 + 2*t**2 - 2*t + 2. Let m(v) = n(v) + 3*u(v). What is m(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/12 + 23\/(-6). List the prime factors of (-41)\/k + 2\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 2. Let m be j(-4). Let h(n) = n**2 - 10*n + 4. Let f be h(m). Solve 6*g + 10 = f*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1300) + -3*sqrt(1300) + 5 - sqrt(1300)))**2 + (4 + -4 + sqrt(117))**2 + 3.\nAnswer: -360*sqrt(13) + 11856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66489804?\nAnswer: 2, 3, 1846939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 359.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 - 110 = -24*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20840*w + 70 + 10 = 20824*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 1 - (2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7386673.8 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:06 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 - 1. Let y(r) = 195*r**3 + 53*r**2 + 5*r - 9. Calculate 9*v(p) - y(p).\nAnswer: -186*p**3 + p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 + -0.56. Let q = t - -0.17. Let a = -0.2000072 - q. What is a rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2293 = -2292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y**2 + 9*y - 11. Let q = -429 - -423. Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40561 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 489625*b**2 + 25*b + 300162?\nAnswer: 979250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/9 + 12928*h**3 + 103434*h**2 + 2210968*h\/9 + 465472\/3 = 0.\nAnswer: -4, -3, -1, 58184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 - (-1 + 12))\/(-1 + (-6)\/(-9)). Suppose -4*c + 8*c + 4 = 0. Sort q, -13, c.\nAnswer: -13, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 6*w + 4*w)*(3 - 1 + 0) + 2*w - 3*w + 2*w + 22 - 22 + 13*w)*(3*w**3 - 4*w**3 + 4*w**3).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 4, y: 2}. What is prob of picking 1 y and 1 f?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -4.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 48940*a**2 - 489795*a - 1028790 = 0.\nAnswer: -7, -3, 9798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 320, 551, 854, 1229, 1676?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-18)\/(-17))*2. Let m = 0.09 - 4.09. Let x = -1409.6 - -1410.1. Put w, m, x in decreasing order.\nAnswer: x, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 23*b + 17. What is j(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 0) + (941 - 849)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 58 (b) -0.2 (c) 1 (d) 280\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 - 15 - 5*c - 6*c + 1 + 2*c. Let x(i) be the third derivative of -i**4\/6 - 5*i**3\/6 - i**2. What is 3*k(l) - 7*x(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**24\/w)\/w**(-5\/3)*w*w\/w**(-2\/7)*w*w*w*w*w**(-3\/11)*w)**(-38\/5) assuming w is positive.\nAnswer: w**(-278084\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.599 + -0.555. Let z = q - 0.044. Which is the nearest to -2? (a) 4 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -217*n - 6251. Determine f(-29).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(136)\/(-5*sqrt(40)\/sqrt(5)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 329 (b) -1\/4 (c) -0.3 (d) 0.096 (e) -1 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*l + 27 = -146*l. Let m be -1*(9 - -28 - l). Suppose 4*g + 180 = -g. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p**2. Let c(h) = h**2 - 11*h - 5*h + 11*h. Let l(x) = 211*x**2 - 4*x - 209*x**2 - 3*x. Let v(d) = -7*c(d) + 5*l(d). What is v(n(f))?\nAnswer: 588*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27079.56 millimeters?\nAnswer: 0.02707956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 109 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 2. Let v(b) = 32*b**2 - 14*b + 6. Let i(p) = 3*a(p) + v(p). What is i(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 31. Let y be w(9). Solve 0 = 2*g + y, -2*j + 2*g = -0*g + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7196 + 7196 - 1608*h**2)*(2*h**3 - h**3 - 3*h**3).\nAnswer: 3216*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/84 - 23*n**6\/4 + 341*n**5\/40 + 1037*n**4\/24 - 287*n**3\/2 + 172*n**2 - 8467*n. Factor f(p).\nAnswer: (p - 344)*(p - 1)**3*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v - 5*r + 10, -3*r - 28 = -5*v. Is (v + -12 + 5)\/(2\/(-9277)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - j - 1)*(21 + 7 + 12).\nAnswer: 80*j - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*h*n*w + 4*h*n - 2*h*w + h - 9*n*w wrt w?\nAnswer: -12*h*n - 2*h - 9*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -47. Suppose 3*x - y*x = -2*a - 6, -4*a - 12 = 4*x. Let j be (175\/10 + -4)*(2 - x). Calculate the highest common divisor of j and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36522, -36536, -36552, -36570, -36590, -36612?\nAnswer: -36636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -270. Let m = i + -106. Calculate the remainder when 98 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 3 (c) 21121 (d) 4 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 340723488 to the power of 1\/2, to the nearest integer?\nAnswer: 18459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 10 = 18*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvggvvgvgg. What is prob of sequence gvg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-6)\/(72\/20))*(-2379)\/(-244).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743901198 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1.5 (c) -4\/7 (d) 108 (e) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s*s*s)\/(s\/(s**(-13)\/s))*((s**(2\/15)\/s)\/s)**37 assuming s is positive.\nAnswer: s**(-1306\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 1, v: 11, c: 2}. What is prob of sequence vi?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2395*(-3)\/30*-4. Let t = y + 1484. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 + 149. Suppose 0 = -12*o + s*o + 20. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 558*s**2 + 51894*s - 1608714.\nAnswer: 2*(s - 93)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84271113?\nAnswer: 3, 31, 41, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2 - 42. Let p = -184 - -148. Let z = p + n. Solve 2 = z*r - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j. Let y(z) = -22*z + 50. Let u(a) = 64*a - 151. Let t(q) = 6*u(q) + 17*y(q). What is the least common multiple of t(7) and s(1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*m = -7*a + 40, 0 = -a - 2*m - 5. Suppose -5 = -3*q + 2*k, 7*k - a = 4*q + 2*k. Solve 0*y - y + q*g + 14 = 0, 3*y - 6 = -3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 - 869820*p - 22 + 869783*p to j + n*p and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**7\/21 + f**6\/15 - f**5\/5 - f**4\/3 + f**3\/3 + f**2 - 16*f. Suppose g(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Let c(k) be the second derivative of k**4\/12 - k**3\/6 + k**2 - 593*k + 1. Determine c(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 1082?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from akakykyykkkaaakaykk?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1204 - 786. Calculate the greatest common factor of l and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000050337304 rounded to 7 dps?\nAnswer: 0.0000503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 + -163. Suppose l = 9*d - 541. Let q be ((-2)\/3)\/(8\/(-168)). Calculate the greatest common factor of d and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -99b?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 4*x + 3*x**2 + 5\/3*x**3 + 1 + 1\/4*x**4. Let g(l) = l**3 + 6*l**2 + 7*l + 5. Let u(r) = 4*c(r) - 3*g(r). Calculate u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - -0.08904?\nAnswer: -0.51096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twtw when four letters picked without replacement from wtwwttttwttwtwttwtt?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008569 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -10. Suppose -4*d + 62 = -2*d. What is the remainder when d is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13451.00015111 + 13451. Round g to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 7*q + 7. Determine o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 28*a**3 + 8*a. Let o(k) = 9*k + 94. Let h be o(-11). Let i(w) = -19*w**3 - 5*w. Determine h*g(n) - 8*i(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14917 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {c: 4, t: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064.7416 rounded to the nearest 10?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 255906057?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(105) - (sqrt(105) - ((sqrt(105) + sqrt(105)*2 + sqrt(105) - sqrt(105)) + sqrt(105))))*1)\/sqrt(5))\/(sqrt(126)\/sqrt(2)*3))**2.\nAnswer: 16\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 29 = -p - 5*i, -4*p + 3*i - 11 = 0. Let q(n) = n**3 - 2*n**2 + 2*n - 1. Let t be q(p). Solve -2*z + t - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 1, p: 4, e: 6, k: 4, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*z + 7*z**5 - 10*z**5 + 0*z wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 55 (b) -3\/7 (c) -2\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110 (base 2) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6*n + 5 - n)*(2*n + n**2 - 2*n) - 41*n - 765*n**3 - n - 4 + 767*n**3.\nAnswer: 7*n**3 - n**2 - 42*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/120 + 3*n**5\/20 + 5*n**4\/8 + 10*n**3\/3 - 33*n**2. Is 15 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -505\/2 - -253. Which is the closest to -0.12? (a) d (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16831867*c**2*f - 12*c**2 - 3*c - 348653 wrt f?\nAnswer: 16831867*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*z = 4*z + 22, -r + z = -8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v**(-7\/2)*v*v))))*v*(v\/v**(3\/7))\/v*v*(v*(v\/v**(-13))\/v)\/v**9)**(-2\/9) assuming v is positive.\nAnswer: v**(-71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*m - 23, 2*m + m - i = 11. Let w(y) = 5*y - m*y**2 - y**3 - 4*y**2 + 6*y**2 + 3. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1007 - 1005. Solve u = 3*v - o, -3*v + 0*v - 2 = -5*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*x - 5295*x - 10145*x + 140*x to a + y*x and give y.\nAnswer: -15152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33816 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.18 and 90234846.280945.\nAnswer: 90234846.460945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 11. Suppose 9*j - 8 = 5*j. Let m be (2 - 4\/j)\/(-1). Suppose m*t = -2*t. Determine l(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001676 to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000825 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45508*r**3 - 17791 with respect to r.\nAnswer: -136524*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*w + 84 = 7, 40*w - 74 = 16*k + 38*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31255 divided by 4.\nAnswer: 31255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.907 - -1.974. Let z = -1.49 + m. Round z to 2 dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9940739.\nAnswer: 31, 320669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 622?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 54 - 180 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5\/2 + 147*g**4\/2 - 1965*g**3\/2 + 1041*g**2\/2 + 4275*g + 2700 = 0.\nAnswer: -60, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 198684.5 litres in millilitres?\nAnswer: 198684500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 0*l)*(0 - 3 + 5)*(-5 + 1 + 2)*(2 - 4 - 2).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 12, 0, -28, -78?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-4 - -1) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 660 - -14017?\nAnswer: 14677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3190\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218826626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a factor of 1747398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b - 101. Let g be x(-8). Let v = 103 - g. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 8544?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16758*r = -16485*r - 18291 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303 a factor of 338973322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + -4 + sqrt(325) + 2 + -1*(5 + sqrt(325) + sqrt(325) + 4*sqrt(325))))**2.\nAnswer: 1000*sqrt(13) + 32600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2564*c**3 + 1782*c**3 + c**2 + 194 - 398 + 204 to z*c**3 + l*c**2 + j + a*c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) + 342\/(-15). Let b = a - -25. Suppose -x + 144 = b*x. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 5056222?\nAnswer: 25281110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/36*(-3)\/(-4). Let y = t - 0. Find the third derivative of 15*i**3 - 21*i**2 - 3*i**y + 7*i**3 wrt i.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1499*b + 2. Let f(n) = 947*n**2 - 1904*n**2 + 955*n**2. What is p(f(k))?\nAnswer: 2998*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 21*j. Let n be t(5). Suppose -346 - 674 = -36*r + 492. What is the greatest common factor of r and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 4, r: 4, x: 1}. What is prob of picking 1 x, 1 r, and 1 z?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 302950783?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14732 and 2540?\nAnswer: 73660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22392.6 millimeters in centimeters?\nAnswer: 2239.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5993 + 207*t + 5993 to the form v + a*t and give a.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17019 = -144*q + 693*q for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521996412 to the nearest integer?\nAnswer: 22847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygwgwmwywwymywwykwg. Give prob of sequence wmm.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(6\/19)*p**15\/(p**(-4\/5)\/p*p))**(-32) assuming p is positive.\nAnswer: p**(-45152\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 46, 81, 118, 151, 174?\n\"Answer: -p**3 + 10*p**2 + 4*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 1\/4 (c) 3.396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-1)*(81\/6)\/(-9). What is the greatest common divisor of 24867 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/32 and 3\/(-80)*(-742)\/(-21).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5173 - -5178. Sort -0.3, 2, 85, y in increasing order.\nAnswer: -0.3, 2, y, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by 11?\nAnswer: 432\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 z, and 1 s when four letters picked without replacement from {m: 1, s: 1, z: 2, o: 2, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8778687 millennia?\nAnswer: 8.778687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2 + (3*b - b - b)*(-2 + 1 + 2) - 2*b - 1 + 1)*((3*b - 5*b + 3*b)*(3*b + 2 - 2) + 4*b**2 + 0*b**2 - 2*b**2 - 2*b**2 - 2*b**2 + 3*b**2).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 478725, 8 in decreasing order.\nAnswer: 478725, 8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -447785304 to the nearest 1000000.\nAnswer: -448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-21))\/a)\/a**(-17\/3) assuming a is positive.\nAnswer: a**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 604338079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 245263 and 245311 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*w + 22, w = -5*g + 2*w - 22. Let r = -3 - g. Let t = 37 + -39. Put r, -1, t in increasing order.\nAnswer: t, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhyx when four letters picked without replacement from {y: 2, f: 1, x: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/((-10)\/50). Suppose o*w - 30 = 2*w - 5*x, -4*w - x + 23 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 18*h = -12*h - 178, h + 17900 = -3*z + 17922 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*q = -4, 9*u + 4*q - 30 = 4*u. Suppose -2*r = -282 - 126. Suppose u*g + c + r = 6*g, -2*c + 102 = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 j when four letters picked without replacement from jaajaaaaaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 59899*h = 59902*h - 45, -2*t - 939*h + 9380 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r - 3. Let c be v(-1). Let b be c + (6 - 0) + 9\/(-9). Solve -5*i = -2*i - b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*m**5 - 17*m**3 + 5241*m + 2 wrt m.\nAnswer: 2200*m**3 - 102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18992221 and 896976?\nAnswer: 6229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -50.48.\nAnswer: -5.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 + 2*t + 2633. Is v(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**2\/2 - 10*j. Let x(w) = 2*w + 1. Let h(a) = -13*a - 10. Let c(o) = -h(o) - 6*x(o). Determine c(t) - 3*k(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - -1.92. Does c = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 6)*(-34 + 135 + 15)*(2*k + 0*k + k + (0*k + 3*k - k)*(0 - 1 + 2)) in the form l*k + z and give l.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 844*r**2 + 807*r**2 - 1780*r**2 as k*r**2 + z + m*r and give k.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, l: 1, z: 1, a: 1, i: 9, r: 2}. What is prob of sequence alz?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26287291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(5\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/5 + 2674*k**3\/5 + 236440*k**2 + 4685888*k\/5 = 0. Calculate k.\nAnswer: -347, -4, 0, 1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 3\/2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from {e: 1, b: 2, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/(12816\/(-216))*(-33)\/(-9)*8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45655 or 776150\/17?\nAnswer: 776150\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1550 times -9\nAnswer: -13950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -605292151*x**3 + 2062*x**2 + 149448?\nAnswer: -3631752906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 137827300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*((-247)\/27 + 9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2792433.00007 + 2792447. Let m = 26 + -12. Let y = f - m. What is y rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 10, -10028 = -2*d - 6*c + 9*c. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22313447276 and 5.\nAnswer: 22313447281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/150 + 4*s**4\/15 - 54*s**2. Solve k(t) = 0 for t.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {c: 3, h: 8, l: 2, p: 2, n: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 3*c**4 - 174*c**2 + 8*c**3 + 174*c**2.\nAnswer: 3*c**3*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 12 + 12)*(-2 + 3 - 2) + 112*m + 33*m - 221*m.\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:43 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 255\/(-132))*3268. Let r = m - -223. Which is the nearest to 0.1? (a) r (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1897440.6 months?\nAnswer: 158120.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*j + 138. Suppose 19*x + 484800 = j*x. What is x rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5831039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*n + 8, -2*o + 3*n - 4 = -0*n. Suppose 0 = -2*m - 4*u + o, -2*u - 27 + 9 = -4*m. Solve q + 25 = -m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5088236, 5088230, 5088224, 5088218, 5088212?\nAnswer: 5088206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10.44. Let j = -0.04 - z. Let k be 120\/(-75) + (0 - -1). What is the second smallest value in k, j, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-219908)\/(-117))\/((-4)\/12*2\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -2607, -200 in decreasing order.\nAnswer: 4, -17, -200, -2607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -15. What is the third smallest value in -4\/5, -1, b?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11897 - -11915. Let p = -1 + -1. Sort b, -3, -5, p in descending order.\nAnswer: b, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -2013, -4536, -8069, -12612, -18165?\nAnswer: -24728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1630.354947 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103bf2 (base 16) to base 3.\nAnswer: 2000001102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -283*b - 3063. Is p(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-5)\/((-15)\/6). Let v(c) be the first derivative of d + 1\/14*c**4 - 2\/21*c**3 - 1\/7*c**2 + 2\/7*c. Factor v(y).\nAnswer: 2*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-7)\/((-35)\/50) + -5 - 0 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 4*l**2 + l**2 + (-3*l + 4*l - 3*l)*(-l + 0*l + 0*l) + (-5*l + 0*l + 3*l)*(1 + 7*l - 1).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19*i**2 + 14*i - 115. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - 1 - -92*(-21)\/(-28). What is the hundreds digit of (541\/3)\/(8\/(9 + q))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 120012?\nAnswer: 120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124057 - -3?\nAnswer: 124061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -677. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 16*o**2 + 49*o + 489. Give b(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 3*h - 8. Let b(a) = -3*a + 8. Let v(q) = -3*b(q) - 4*c(q). Let m(g) = 11*g**2 - 9*g + 23. Let t = -497 - -480. What is t*v(p) + 6*m(p)?\nAnswer: -2*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.17 + -0.17. Let o = t + -7.9992. Round o to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-6) + 2\/6. Let d = -100 + 89. Let s = r - d. Solve -n = 3 + s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11977, 11962, 11949, 11938, 11929, 11922?\nAnswer: 11917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 + t - 1. Let c(q) = -12*q**3 - 2*q**2 + 3*q - 2. What is -c(o) + 2*j(o)?\nAnswer: 14*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 20\/29 and 108106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-25)\/(-3)*15\/((-45)\/3). What is the highest common factor of 5900 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13 = 4. Let q(u) = 4*u**2. Let y be q(-2). Suppose -c = n*c - y. Solve c = -b - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 19*a + 9. Suppose 6 = -y, 222 = 8*k - 34*k + 2*y. Give f(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.4 + -4.4. What is the third biggest value in 15, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1177041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 208*i**2 - 90*i - 75. Is l(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 110*g + 3*g**2 - 110*g. Let v(r) = -2*r**2. Determine j(v(c)).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 5 (c) -692177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.35 - 5.5955.\nAnswer: -6.9455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-1)\/28)\/(42\/(-147))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 16. Let k(o) = -o**3 + 3*o**2 - 5*o + 11. Let u be k(2). Solve -u*h + 27 = 2*w, -2*w - 6 = -z*h + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616 = -26*s + 1356 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139157, 139156, 139155, 139154, 139153, 139152?\nAnswer: 139151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3485 and 8364?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 63. Let g be b(13). Let c(i) = -3*i + 3*i - 3*i + g*i**2 + 3*i. Let h(p) = -p + 365. What is h(c(v))?\nAnswer: -2*v**2 + 365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*h = -h - 5, 13 = -v + 5*h. Suppose q + v = 4. Let s(k) = 118*k + 1890. Let t be s(-16). Solve 5*d - 9 = -t*y, q*y + d - 3 = 2*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -116, -128, -140, -152, -164?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26450 and 61364.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 - (-23 - 1). Let b = -47 + v. Let h be ((-3)\/b)\/(2\/12). Are 1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739163 is divided by 2822?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*c + 1432, -c = 5*r - 2*c - 1814. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*t + 16 - 40 = 0, 2*t - 6 = 0. Let v(r) = -6*r**3 - r**2 + 4*r + 2. Let z(j) = -7*j**3 - j**2 + 5*j + 3. Give d*z(k) + 5*v(k).\nAnswer: -2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 7, -55, -171, -353, -613?\n\"Answer: -2*m**3 - 9*m**2 + 21*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 0.3, 4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67650 divided by -13530.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1*24\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-2) + (1 - -1). Let y = 151 + p. Suppose 0 = -a - a + y. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 less than 1?\nAnswer: 1.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 134848 = 4*h - 0*u, 0 = 2*h - 5*u - 67409. Suppose -c + 27500 = 3*x, -5*c + 103783 + h = -x. Round c to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y**2 - 4*y - 1. What is g(8)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460733 is divided by 5290?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1552 + 7480 = 76*d. What is the greatest common divisor of 4978 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let i(a) = 52001*a**2 - 2*a + 1. Let d be i(s). What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let c = 2 - k. Suppose 0 = 4*u - 3*u - 5. What is the highest common divisor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and 2846347?\nAnswer: 37002.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027268 * 10.\nAnswer: 0.27268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (1 + -5 - (-4 + -8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 5, n: 3}. What is prob of sequence lk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*o**3 + 2178*o**3 + 1269*o**3 - 99421*o**3.\nAnswer: -95733*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*(sqrt(88) + sqrt(88) + -1*(sqrt(88) + sqrt(88) + sqrt(88)*-2 + sqrt(88) + sqrt(88)) + sqrt(88)))\/(-3*-3*sqrt(968)*-2))**2.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216934 or 217062?\nAnswer: 216934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1 + 1*28). Suppose k = 3*z - 87. Suppose 366 = 352*g + 134 - 824. Put 0, g, z in decreasing order.\nAnswer: z, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - i**3 + 184 + 3*i**3.\nAnswer: 2*i**3 + 522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k. Let r = -11 + 15. Let p(h) = 5*h - 6*h + r*h. What is j(p(g))?\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g = -41*g + 495 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 450510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 18*d - 11. Let b(p) = -7*p + 5. Let c(s) = -5*b(s) - 2*n(s). Let x be 6*(2 + 12\/(-9)). Let g = -4 + x. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035455 - 1026022.\nAnswer: -1026022.035455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -223 (c) -10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12343 - 12348. What is the fifth smallest value in -3, 26, -0.3, -0.1, m?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u - 96453 + 183882 + 144599 = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117049*m - 117052*m - 192 = 0 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Suppose w*l - g - 17 = 4*g, 2*l = 3*g + 11. Solve -u = l*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 351, 21, 4, 2 in increasing order.\nAnswer: 2, 4, 21, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17692, -35363, -53036, -70711, -88388, -106067, -123748?\nAnswer: -141431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -158. Solve -4*s + 0*v + 1 = 3*v, 0 = 4*s - 2*v + l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702, 1599, 2696, 3993, 5490?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3514561 litres?\nAnswer: 351.4561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.0991 rounded to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**4 - 18*a**3 - 6*a**2 + 225*a + 216. Let g(t) = -t**4 + 3*t**3 + t**2 + t + 1. Let b(m) = c(m) + 6*g(m). Differentiate b(n) with respect to n.\nAnswer: -8*n**3 + 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 14. Let j = k + 15. What is the least common multiple of (8\/(-5))\/(2\/(-10)) and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 2)*(p + 0*p + 0*p) - 2*p - 8*p + 4*p)*(-4*p - 9*p - 6*p) to s*p + j + x*p**2 and give x.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**6\/120 + z**4\/24 - 2*z**3\/3 - 2*z**2 + 6. Let c(h) be the second derivative of q(h). Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*n - 8 + 10*n - 12 + 20 - 5 to f*n + r and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bggd when four letters picked without replacement from {b: 1, d: 1, g: 9}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6380 - 815163*w**2 - 6380.\nAnswer: -815163*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398.5821 rounded to the nearest 10?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 - q**3 - 3*q**2\/2 - q - 4. What is the units digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521808 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, -3\/2, 3\/2, 181, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-28) - ((-120)\/(-28))\/10. Let w = -1 + 1. What is the closest to g in 5, w, -3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {q: 5, k: 2, e: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c - 135. Let q be p(14). Let u(y) = -17*y + 10. Let a(h) = 8*h - 5. Let r(j) = -13*a(j) - 6*u(j). Calculate r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/((-5)\/(-30)). Let a be z\/(-9) - (-110)\/75. Let 1\/5 - a*b**2 - 3\/5*b = 0. What is b?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183121*304.6\nAnswer: 55778656.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, 3 in decreasing order.\nAnswer: 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9)\/p)\/p)**(2\/39))**(-50) assuming p is positive.\nAnswer: p**(1100\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104451 (base 7) to base 6\nAnswer: 221123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/1566 + (-969)\/27?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 6*k + 5*k - 3 - 2*k + 3*k**2 + k**3. Let w be l(4). Suppose -5*q + 56 = -w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(192) + 5*sqrt(192)*-1 + sqrt(192) + 1 + 5*-1*4*sqrt(192)*1)**2.\nAnswer: -1104*sqrt(3) + 101577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.4184 millilitres?\nAnswer: 0.0464184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1800*g - 824394. What is d(458)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + g + 6, 0 = 2*o + 2*o + 3*g - 3. Let p(h) be the first derivative of h**4\/4 - 4*h**3\/3 + 3*h**2\/2 - h - 1. What is p(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, f: 3, u: 3}. Give prob of sequence tfut.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 711*r - 2123. Determine m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 724\/6 - 30\/45. Suppose -m = 3*k - c - 511, -5*c - 252 = -2*k. Let i = k + -125. Solve -2*v + i = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 take away 2536415?\nAnswer: -2536416.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 130*n + 905 = -409 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*y - 662642*d - 49131*y wrt y.\nAnswer: -3*d - 49131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:24 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 39.5, -1 in decreasing order.\nAnswer: 39.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175)\/((sqrt(21) - sqrt(21)*-1)\/sqrt(3)))\/(sqrt(405)*2*-2).\nAnswer: -sqrt(5)\/72 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79232.15 years to centuries.\nAnswer: 792.3215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.429 + 5.329. Which is the closest to q? (a) 0.44 (b) 5 (c) 1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12 - (-4)\/6. Let r = -99\/2 + 50. Factor l*t - 1\/2*t**2 + r.\nAnswer: -(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158\/11 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b + 1 + 5 - b**2 + 6*b**2. Let o be g(-6). Let p be ((-2)\/(-4))\/((-1)\/o). Solve -2*a - 2 = -p*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005226875 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -51. Is 34 a factor of ((-4)\/k)\/(0 + 6\/(-783))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 4 - 6)*(27*f**3 - 19 + 19).\nAnswer: 405*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*u - 18 + 18)*(1 - 5 + 1) + 0*u + 0*u + 2*u + (3*u - 2*u + 0*u)*(1 - 1 + 1) + 0*u + u - 3*u)*(5 - 5 + 3*u**4).\nAnswer: 57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(363) + 0)*2 + sqrt(363) + (sqrt(363) - (0 + (sqrt(363) - sqrt(363)*1))) + -2.\nAnswer: -5 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3866*x = 1146*x + 163200 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 17*a + 18. Let s be k(-14). Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 - 3*w - 3. Let q be (-12)\/((6 - 3) + -5). Let t be p(q). Calculate the highest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 7*t - 7*t + 4*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {m: 1, p: 1, e: 1, r: 1, j: 2, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p + 38*p - 21033 = 8547. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-15))\/((-6)\/18). Sort t, -2, 5, -4.\nAnswer: -4, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z**3 + 42*z**3 - 5*z - 19*z + 24*z.\nAnswer: 96*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4312214433 - 4?\nAnswer: 4312214424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -19243724.\nAnswer: 19243724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14925 - -23195. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38432 is divided by 557?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 3*g = 7*z + 32, -g = -z. Solve z*b - 3 + 11 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -38 + 5*g**2 - 12*g - 1\/2*g**4 + 4\/3*g**3. Suppose y(d) = 0. Calculate d.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7894 - 5.7894. Sort 0.4, 6, 2\/7, s, 5 in decreasing order.\nAnswer: 6, 5, 0.4, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = 5*m + 3, -2*g = 4*m - 8. Suppose -m*t - t = -3*p + 32, 0 = 2*p + 2*t + 2. Is p\/(-20) - (-372)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:27 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2 - 2. Suppose -14*r = -4*r + 90. What is the hundreds digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**(8\/3)*(r**7)**46 assuming r is positive.\nAnswer: r**338","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 2*y**2 - 2*y**2 + (-2*y + y**2 + 2*y)*(0 + y + 0) - 2 + 1 + 3*y**3 - 4 as u*y**2 + n*y**3 + h*y + q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2123991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (25758\/2226 + (-6)\/(-14))*(-1 + 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 15, j: 3}. Give prob of picking 1 j and 1 m.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z - 214*z - 114 = -86*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/((-7)\/(-434)). Suppose 4*s + d = 2*s. Let o = s - -36. Calculate the greatest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(2\/7)))**(-35)*v**(-4\/11)\/v**13 assuming v is positive.\nAnswer: v**(128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -619\/5. Let p = -172 - -175. Which is the smallest value? (a) g (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 270 + 61)*(-63 + 63 + 60*s - 10*s).\nAnswer: -15300*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 - 32*a - 47. Let b(j) = 50*j**2 + 225*j + 330. Let w(h) = 2*b(h) + 15*s(h). Find d, given that w(d) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - -5*sqrt(1573)*4) + ((sqrt(65) + 3*sqrt(65)*-5)\/sqrt(5))**2.\nAnswer: 231*sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((1*sqrt(245) - sqrt(245)) + sqrt(245))*-6 - sqrt(245)) - ((sqrt(245) - sqrt(245)*-1*2) + sqrt(245) + (sqrt(245)*1*2 - sqrt(245))))**2.\nAnswer: 19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36208 - 9*l + 1019*l**2 - 36208 to q*l + k + g*l**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16715252 and 6592?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 2*k - 9. Let t(j) be the first derivative of -j**3\/3 + j**2\/2 - 5*j - 21. Let b be (5\/15)\/(2\/30). Calculate b*t(p) - 3*h(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41\/(-3)*(1 + 0)*-3 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*9\/(-39)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 94. Let h = 5 - 1. Let x(v) = -3 + 1 - 2*v - 3 + h. Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v - 1\/2*v**2 + 1. Let b(i) = 6*i**2 + 6*i**2 - 5*i**2. What is g(b(t))?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -370, -371?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3692151, 3692081, 3692011?\nAnswer: 3691941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/5 and 11\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.254 and 7.\nAnswer: 7.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(76) + (4*sqrt(76)*-1 - sqrt(76)) + sqrt(76) + sqrt(76))\/(sqrt(100) + sqrt(100)*1))**2.\nAnswer: -912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l - 24. Let n be b(4). Let q be -1 - (n*(-6)\/27 + 2). Let h be 34\/60 + 4\/(-6). Put 3, q, h in ascending order.\nAnswer: q, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43292 + -217168\/5. Let q = z + 142. Suppose 0*t + 0 - 3\/5*t**4 - q*t**3 + 1\/5*t**2 = 0. What is t?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001820037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 - 4.33. What is the second biggest value in h, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(612) - sqrt(153)\/(sqrt(27)\/sqrt(3)).\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65400 at most 1\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15 - 3\/15. Let x = 13\/2 + -7. Which is the third biggest value? (a) -3\/8 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244109 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3141187440.\nAnswer: 2, 3, 5, 13088281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = 2*c, -c + 5*p = p - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -432.049 * -6\nAnswer: 2592.294","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -c2a60?\nAnswer: -c2a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1, -8, -0.4, -103, -0.47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4772)\/(-6) + 2 + 20\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103476416*m**3 - 146154042*m?\nAnswer: -620858496*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 26 = -2*t + 10, -t - 2*b = -32. Let u be 2\/(2\/(t\/3)). Let x = 14 - u. Solve 0 = -a + x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 12*g + 5 - 5.\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -52 in increasing order.\nAnswer: -52, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49767432371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 + 170\/51 + -15 - 28\/12. Factor 8\/5 - 9\/5*x + 1\/5*x**d.\nAnswer: (x - 8)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -242, -369, -496, -623?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h + 3. Let q be f(-5). Let n be 19\/q + 1\/(-3). Let c = -16 - -28. Calculate the highest common divisor of c and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15810677*d**5 + 598*d**2 + 946*d.\nAnswer: -948640620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29454192 to the power of 1\/2, to the nearest integer?\nAnswer: 5427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 22 = -q. Suppose 4*t = q + 26. Let p be -3 + 3 + t\/2. Solve 3*u + 9 = 3*f, -f + 6*f - p = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198265559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**2 - 3*h + 2. Differentiate j(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/259922 (b) -2 (c) 2\/7 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 12939547?\nAnswer: -776372.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.715207 and -419?\nAnswer: 422.715207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7389 + -5?\nAnswer: -7393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-21 - -5 - (15 + -14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-575)\/6670*(-2 + 24\/15).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 6*o + 8. Let i(l) = l**2 - 3*l - 4. Let u be i(5). Let j be y(u). Suppose j*m - 56 = 4*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjnb when four letters picked without replacement from {n: 3, b: 5, j: 3, i: 2}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -5, -1, -625, -3 in decreasing order.\nAnswer: -1, -3, -5, -87, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 48*y**2 + 1. Let b be v(-1). Let w = b + -35. Suppose -3*z + 3*a = -66, -55*z + 50*z = -3*a - 106. What is the least common multiple of z and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -127 (c) -5 (d) -2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(5\/2) + 1. Let h = 3 + c. Let n be (-1)\/((-465)\/231 + h). Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spxsdwpf. What is prob of picking 1 s and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 18*s - 180 = 0. Let x be ((-186)\/9)\/(8\/s). Calculate the greatest common divisor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/18 and -47\/764?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -21 = -v - h. What is the least common multiple of v and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.968024987 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwwwwwrrwwrwrrw. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 11 + 16*x - 9 - 9.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212226539.\nAnswer: 7, 173, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a**3\/7 + 47794*a**2 + 278788*a\/7 - 55758\/7 = 0.\nAnswer: -27879, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 185*j - 3281. Give p(-24).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11251*x**3 - 5*x**2 - 26*x + 301398215 wrt x?\nAnswer: 33753*x**2 - 10*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*s = 183*s + 87*s - 3720 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 0.3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, x: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00423 + -0.40423. Which is the biggest value? (a) -27 (b) q (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -11*g + 13*g + 8, 3*x = -5*g - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 985645943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134\/32223 or -1?\nAnswer: 134\/32223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 801, -27 in decreasing order.\nAnswer: 801, 5, 4, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1169*x**4\/4 - 965*x**2\/2 + 7113*x. Differentiate h(p) with respect to p.\nAnswer: 7014*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 6*h**2 - 5*h + 3. Calculate m(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77276?\nAnswer: 2, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 485 - 483. Let b(d) = -2 + 0 - 166*d + 82*d + 88*d - d**n. Give b(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4565, 4555, 4541, 4523?\nAnswer: 4501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3601150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/2871*(1 + -1 + -6).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 4213498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6)**6\/((h\/(h*(h\/(h**12\/h))\/h*h*h))\/h)**(-4\/5) assuming h is positive.\nAnswer: h**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 666 - 7320\/11. Let r = 119\/90 - 11\/10. Sort r, -3, l in increasing order.\nAnswer: -3, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.3093 millilitres in litres?\nAnswer: 0.7353093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24453*b**2*z**3 - 9634*b**2*z**2 wrt z?\nAnswer: -146718*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 4*m**3 - 1299*m**2 - 395*m - 16 wrt m.\nAnswer: -12*m**2 - 24*m - 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -256*n - 205*n + 3 + 460*n + 5*n**2. Give l(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108413 times -0.3?\nAnswer: -932523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 4*a**2 + 0*a**2 + (a + a + 0*a)*(-4*a + 1 - 1) + 3*a**2 + 1 - 6*a + 6*a.\nAnswer: -4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02016 at most as big as 66939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/16)\/(c*c**(-2\/5)*c)*c*c**12*c\/c**(-2\/3)*c assuming c is positive.\nAnswer: c**(3421\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (3 + -5))\/(3\/9). What is the smallest value in l, 0.3, 28?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-7 - (-3 - (1 - 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32187 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -837400 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 2*b + 3. Let s(k) be the first derivative of -3*k**4\/4 + 3*k**2\/2 - 5*k + 20. What is -5*g(h) - 3*s(h)?\nAnswer: -h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z + 53*z - 671 = 44*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 0, -5, 214, 45 in increasing order.\nAnswer: -5, -4, -2, 0, 45, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 248\/(-432) - 52\/(-702). Sort 3\/7, j, 0.1, -1\/5, -1 in descending order.\nAnswer: 3\/7, 0.1, -1\/5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1972 (b) 30 (c) 1\/9 (d) -2\/13 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/425*-18)\/(186\/(-155))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2, 0.09 in descending order.\nAnswer: 4, 2, 0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283518, 1134009, 2551484, 4535949, 7087410, 10205873, 13891344, 18143829?\nAnswer: 22963334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 3*d - 6*d + 3*x, -4*d = 4*x - 136. Suppose 95 = u + d. Calculate the remainder when u is divided by 1\/(2*1\/22).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/19 - -15\/76. Let x = -120\/31 - -395\/62. Which is the nearest to z? (a) x (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 11. Suppose o*u - 25 = 4*u. Solve -11 = -5*c - 3*v + 1, -u*c - 2*v + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 2. Let m = y + 199. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 42. Let q be -8 + (2 - -44) - (-3)\/1. Calculate the greatest common factor of r and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -17. Let t = 9.9999979 + f. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let b(i) be the first derivative of -7\/2*i**2 - 10 + 0*i. Determine g(b(h)).\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 56*(-1173)\/19584 + 30\/9\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20\/11 + 16\/11. Let p be 1*(9 + -14 - -7). Is p smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23701 - 23793 = 4*r - 8*d, -12*r + 5*d - 67 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1568 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16131 and 220989?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 642787?\nAnswer: -6\/642787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*c + 3*x, 5*x + 8 + 10 = c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 8423*y - 731774 = 0.\nAnswer: -8509, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 10. Suppose k*v = 2*t + 221, -v - 2*t + 0 = -37. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 380124?\nAnswer: -380120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000159008 to seven decimal places.\nAnswer: -0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 487494 and 50?\nAnswer: 12187350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130 + -2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -45*r + 77. Suppose -9*t + 4 = -7*t. Let v be j(t). Sort 0, v, -6, 4.\nAnswer: v, -6, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6621*y + 6630*y = 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.07, 0.4, -1, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 37. Let k be (c\/(-9))\/((-6)\/9). Let o(h) = -15 - 2*h + 22 - 13. Calculate o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1824.579g?\nAnswer: 1824579000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k - 1. Let w be i(0). Which is greater: -1\/5 or w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 5*h + 4*h)*(-3 + 0 + 2) - h - h + 0*h - h - h + h + (-h + 2*h - 3*h)*(-2 - 2 + 3) + (2 - 1 + 0)*(-5*h - h - 6*h) to o + f*h and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -k - 2*k + 42, 4*k - 55 = 5*i. Let t = 14 + -11. Suppose 0 = -t*n + 7 - 1. Solve -5*v - 6 = n*x, x = -4*x + 5*v - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -10*j - 35. Which is the third smallest value? (a) j (b) -0.1 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*g = -10322, -3*g - 16 = g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -64. Suppose g*z - 3*z = 15. Calculate the highest common factor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2655 by -4.\nAnswer: -2655\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 118 + -75. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i**2 - i**2)*(0 + i + 0) + 24*i**3 - 57*i**2 + 58*i**2 + 2 + 0*i**3.\nAnswer: 25*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k**2 + 4*k + 3. Let s be d(5). Suppose -s = -t - 17. List the prime factors of t\/6*(-15)\/(2 + -3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 204 = 3*l, 0 = 5*i + 6*l - 2*l - 256. Solve -50 = 14*w + i for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5883.51 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/3 + 1 + (-512 - -519). What is the nearest to a in -3, -0.5, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 4)*(-4 + 3). Suppose y = n*t + 48, -4*y - 3*t = -49 - 165. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129268 divided by -6?\nAnswer: -354878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 734944?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 30*i + 2. Let d be h(3). Suppose -5*m = -3*j + d + 36, -201 = -5*j - 4*m. Solve -5*k = 4*l - j, -2*l = -7*l + 3*k + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 2*g + 3. Let t be r(-3). Let h = t - 3. Solve -h*d = 3*p - 3, -1 = -p - d - 4*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m. Let s(t) = 55*t**3 + 5*t**2 + 3*t. Determine -3*j(y) - s(y).\nAnswer: -55*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1336, 1194, 956, 622, 192?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, 2, 4, 0.14, 4.1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465, -0.5, 0.2, 2, 8.1, -4.\nAnswer: -4, -0.5, 0.2, 2, 8.1, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 770, 803, 834, 863?\n\"Answer: -o**2 + 36*o + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, b: 4, s: 4, w: 7, i: 1}. Give prob of sequence swww.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102100011222 + 2?\nAnswer: 102100012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1222, -0.5, -5 in ascending order.\nAnswer: -1222, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 65*y - 30. Let u = -14816 + 14832. What is n(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463856681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 - 12.99. Let k = -13.1 - g. Which is greater: k or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/300 + 11*p**5\/150 - p**4\/60 - 11*p**3\/15 - 83*p**2. Let y(h) = 0. What is h?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 greater than or equal to 5622\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1145780?\nAnswer: 10312020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1102*v. Let s(w) = -w. Calculate j(s(n)).\nAnswer: -1102*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*x**2 + 32*x**2 - 53*x**2)*(-x**3 + 5*x**3 - 3*x**3).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2493.685km?\nAnswer: 2493685000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24314 = -4*x, 5*f - 6601 = -3*x + 11637. Is x a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1\/4, -2\/5, -6, 2\/5 in ascending order.\nAnswer: -36, -6, -2\/5, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3996*r - 76539 - 53608 = 36160 + 1525 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g + 41. Let i be n(4). Suppose -13*s + 11*s - 30 = 0. Sort i, -3, -2, s in descending order.\nAnswer: i, -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1888.07?\nAnswer: 1888.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -2)\/((-12)\/((-192)\/(-40))). What is the nearest to -1 in -6\/5, 13\/5, b?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pappaqpoapplqap. What is prob of picking 1 q, 1 p, and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250519 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*w - 11*w - 4*w)*(4*w**4 - 8*w**2 + 8*w**2).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48.1 and -4016333892?\nAnswer: 4016333843.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240403 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/4, -2\/9, -0.347 in descending order.\nAnswer: 23\/4, -2\/9, -0.347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(-i - 3 + 3)*(-4 + 5 - 4) as m*i + u and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68777*w**3 + 194465 wrt w.\nAnswer: 206331*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600 + -17598\/11. Let g = -16 + 16.1. Put g, 0.4, w in descending order.\nAnswer: 0.4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(3\/14)))\/g*g)**(-50) assuming g is positive.\nAnswer: g**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4844016 and 428.\nAnswer: 518309712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 57106 = -57076. Let b(m) = -4*m + 5. Let s(o) = -4*o + 5. What is w*b(r) - 4*s(r)?\nAnswer: 4*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/31 greater than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -131, -193, -251, -305, -355, -401?\n\"Answer: 2*u**2 - 72*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -498, -779, -1098, -1467?\nAnswer: -1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 118, 1051, 3604, 8593, 16834, 29143, 46336?\n\"Answer: 136*v**3 - 6*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 4311513182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21*l = 120. List the prime factors of (-1176)\/(-10) + l\/(-10).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*i - 1 = -5, -i = -2*l + 12. Suppose 36 = l*j - 3*j. Solve j + 7 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h**2)*(2*h**2 + 0*h**2 - 3*h**2) - h**4 + 5*h**4 - 2*h**4 + (-10 + 10 - h**2)*(1 - 1 - 2*h**2).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3236*p**2 + 21*p + 347. Let i be x(-11). Round i to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + 3*h**2 + 2*h - 82. What is g(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c - 26. Suppose 3*n + 14 = -2*t, -3*t + 0*t - 3*n - 27 = 0. Let r = c - t. Calculate the highest common divisor of r and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25889179 is divided by 25889170.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4251 - 4243 = -12755 + 4251, 0 = 5*w + 3*n + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/15*(-465)\/(-372).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*d - 14 = 0, 4*h + 9*d - 8*d = 5. Suppose a - 11 = -h*c, -2*c - 2*a + 3 = -3. Let s(j) = 17*j - c*j - 15*j. Let u(t) = 3*t**2. Calculate u(s(b)).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -37\/5 (c) -7 (d) 4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 2*g**3 + 2*g**3 + (4*g - 5*g + 3*g)*(0*g**2 - 2*g**2 + g**2) + 3*g**3 + 2*g**3 - 6*g**3 + 34*g**3 + 87*g**3 + 0*g**3.\nAnswer: 117*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/55? (a) -1 (b) 2\/5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. Let s = a - -3. Suppose 4*v = 5*v - 5*x - 28, 2*v - 21 = 3*x. Solve 1 = -v*f + s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211120 + -2?\nAnswer: -211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8055 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427 and 217?\nAnswer: 13237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 15 = -5*u. Suppose -u*k = -5*l + 165, -4*l + 2*k + 87 = -43. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 15*t - 2*t + 1 + 13*t.\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -255410 and 5?\nAnswer: -1277050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3797\/19306 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 8*v - 4*v. Let f(k) = 3*k + 0*k + 0*k - 2*k. Determine f(x(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101\/6 + -493\/30. Let w be -3 - (0 + 105\/(-33)). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Let s = 5.5 + -5. Let h = -0.1 + s. What is the closest to -1 in f, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38640, 77279, 115918, 154557, 193196?\nAnswer: 231835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -13, 3, 35, 89?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 8 + f**2 - 21 - 12.\nAnswer: f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4612 - 3672. What is the least common multiple of 376 and b?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/8)*p**(8\/5)*((p*p**(-1\/3))\/p)\/p**(3\/7) assuming p is positive.\nAnswer: p**(1019\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 6. Let d(m) = -m**3 - 3 - 2 + 0 + 5*m**a. Let o(b) = b**3 + 4 - 6*b**2 + 4*b**2 - 2*b**2. What is -4*d(r) - 5*o(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147792 and 1083808?\nAnswer: 3251424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.16 - -99.16. Which is the fourth biggest value? (a) -4 (b) -56 (c) o (d) 4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*o + 12, 2*j + 0*j = 2*o - 2. Let b(r) = 74*r**3 - r**2 - 2*r - 1. Is b(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 7. Calculate b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-123 + 1). Suppose l + 131 = -2*h. Let x = h + 25. Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2475635911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {m: 1, h: 3, j: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 176. List the prime factors of 52\/5 + 32\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((144\/(-252))\/((-4)\/(-14))). Which is the nearest to h? (a) -4 (b) -9\/4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80631400 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -70. Let x = -2 + 1.6. What is the closest to m in -2, -4\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3578 + 2221 + 4226 + 3964 + 2158)*(0*p**2 + 0*p**2 - p**3).\nAnswer: -16147*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26923*c + 90 = 26928*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235462\/9 != 470607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, l: 1, n: 1, v: 1, m: 1}. Give prob of sequence myvy.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 15033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198121, 396255, 594383, 792505, 990621, 1188731, 1386835?\nAnswer: 1584933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*204\/1156)\/(3\/1).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 14*l**2 - 2*l + 32. Let r be j(14). Which is smaller: r or 38\/11?\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:22 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -3420404?\nAnswer: 3420411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*r - 5)*(4 - 3 + 3)*(4*r - 3 - 8*r + 2)*(-12*r**2 - 3*r**2 - 42*r**2) to f + t*r**3 + l*r + y*r**2 + d*r**4 and give d.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -134.1774. Round r to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4186 and 1288.\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 21430232?\nAnswer: 21430241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6223669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6810*b**2 - 6800*b**2 + 13606*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -58214010.\nAnswer: 17464203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/2 + 8*m**3\/3 - 5*m**2 + 4*m + 6. Factor q(u).\nAnswer: -2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -20*a + 9. Let l be p(10). Let q = -326 - l. Find the common denominator of 19\/26 and (6\/q)\/((-12)\/(-885)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*h**2 + 27*h + 198*h**2 - 1256*h**3 - 27*h to the form d + q*h + s*h**3 + k*h**2 and give s.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11)*l\/(l*l\/(l*l*(l\/(l\/l**6*l))\/l)))**21 assuming l is positive.\nAnswer: l**(1029\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -129*k - 287. Let x be p(-18). Which is greater: 2036 or x?\nAnswer: 2036","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/5, 1.02, 11 in increasing order.\nAnswer: -2, 3\/5, 1.02, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1100*h. Let k be w(-2). Suppose p = -3*p - k. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51455, 102831, 154207, 205583, 256959, 308335?\nAnswer: 359711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*p + 2*p. Let y = 14 - p. What is the greatest common divisor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:03 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 2050?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175569 by -113.\nAnswer: 175569\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4964026174.722 and -22.6?\nAnswer: 4964026152.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2766 and 0.03106.\nAnswer: -85.91196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/15, -1, 1\/3, 217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(1 - 1 - 3*r)*(0*r**3 + 5*r**3 - 2*r**3).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let i = 6 - 5. What is the least common multiple of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*p**5\/5 + 1526*p**4\/5 - 11209*p**3\/5 - 10464*p**2\/5 - 2304*p\/5.\nAnswer: -p*(p - 16)**2*(7*p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 184275?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -640, -1138, -1830, -2812, -4180, -6030?\n\"Answer: -16*m**3 - m**2 - 383*m - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9447 + -8973. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13104.5 - -13104. Let x(n) = n**3 - 5*n**2 + 5*n - 2. Let h be x(4). Sort h, j, 0.1, -2\/11 in increasing order.\nAnswer: j, -2\/11, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(228)\/(sqrt(12) + sqrt(72)\/sqrt(6)) + (-5*(sqrt(19) + sqrt(19)*2 + sqrt(19) + sqrt(19)) - (-2 + sqrt(19)*-2)))**2.\nAnswer: -540*sqrt(19) + 115473\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 119*r + 7682\/3.\nAnswer: (r - 334)*(r - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*r + 56 - 12, 20 = 2*u + 2*r. What are the prime factors of 9*((604\/u - -1) + 1)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqd when three letters picked without replacement from {d: 1, q: 1, g: 3, j: 4, k: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (1 + sqrt(162)*-2)**2)*3.\nAnswer: -216*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*k + 62 - 102, -12*d + 56 = k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(768).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 17*i + 30. Let b be r(15). Suppose -3*f + 1211 = 2*m, b = -5*m + 4*f - 2*f + 3037. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 - 1 = 4*b, 5*g = 3*b + 8. List the prime factors of 9*(-1)\/(0 + b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 6. Let o be 4\/14 + 23\/a. What is the units digit of 1 - o - (3 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 34. Let u be 0 - (2\/(-11) + 0). What is the third smallest value in u, l, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2021387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -587 + 599. Suppose 0*s - 4*s - 3*x = -2, 0 = -2*s + 4*x + i. Let h = 7 + -4. Solve -2*d = h*r + 8, 3*r = -d - s*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8373 rounded to 3 dps?\nAnswer: -0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*k**2 - 9*k**3 + 1546*k + 0*k**3 + 13*k**3 - 2*k**3.\nAnswer: 2*k**3 + 91*k**2 + 1546*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93, -372, -839, -1488, -2313, -3308, -4467, -5784?\n\"Answer: f**3 - 100*f**2 + 14*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571921672?\nAnswer: 2, 7, 43, 237509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1)\/1 - 4. Let n be (-1)\/(-2) + k + 174\/4. Is n\/28*538\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*c**2 + 814*c**2 - 24 + 124*c**2.\nAnswer: 889*c**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5287 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 295\/150)\/(3\/(-12))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2943*z - 297222. What is c(101)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6003*r - 18*y + 228 = 6005*r, 33 = 2*r + 3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31344 - -1.12828. Let y = -0.81 + u. What is y rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from mmzwm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/240)\/(-11)*-8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9434319 times -1\nAnswer: 9434319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138169*m**6 + 2517*m**2 - 13*m - 2?\nAnswer: 16580280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -2 - (-284 - -305 - (7 - 3))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6007528 and 8.\nAnswer: 6007528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 2*d**2 - 26*d + 11. Let w(o) = -2*o**3 + o**2 + 12*o - 5. Determine -13*w(y) - 6*x(y).\nAnswer: 8*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c + 50. Let j(d) = -2*d - 2. Let h(q) = -4*j(q) + z(q). Let t be h(-11). Which is bigger: -105 or t?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -98*o + 5*o**2 + 9 - 2*o**2 - 4*o**2 + 92*o. Determine d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.254 - -14.254. Which is the nearest to 10.91? (a) -5 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 1, -2.\nAnswer: -21, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -83. Suppose -32 = -w*u - 11. Sort 5, u, 2.\nAnswer: 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(168\/54 + -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 60.1 and 0.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -256*g**2 - 839*g - 100. Calculate i(-3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1424 and 22428.\nAnswer: 89712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**3 + 59*h**2 + 69*h + 82. Calculate z(16).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 28*a**2 + 2*a**2 - 7*a**2.\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 12*h**2 - 75*h + 36. Let o(f) = -f**3 + 3*f**2 - 19*f + 9. Let s(q) = -4*k(q) + 15*o(q). Solve s(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 1, 4 in descending order.\nAnswer: 4, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -22*l + 107. Let r be v(5). Do -1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*b + 44, 2*f - 6*f - 74 = -5*b. Let k = 1 - 1. Solve 2*l + l - 5*i - 19 = k, -4*l + b = -i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20272 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8409*h**4 + 13*h**3 - 482*h**2 + 8*h + 2 wrt h.\nAnswer: 201816*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a + 198. Let o be q(-29). Let m(f) = -3*f - 10. Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = -2*a, -s - 5*a = -3*s + 24. Let j(r) be the second derivative of -1\/3*r**3 - 2*r**s + 0 - 3*r + 1\/6*r**4. Factor j(p).\nAnswer: 2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*r - 108*r + 55 = 4 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5331 is divided by 4224.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*4)*-5 - (sqrt(70) + (-1*sqrt(70) - sqrt(70)))*-2)\/((sqrt(10) - sqrt(1440))*-4*4).\nAnswer: -27*sqrt(7)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6358, -7307, -8890, -11107?\n\"Answer: -317*r**2 + 2*r - 6043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 40. Let b be w(-12). Let x = 7 + -5. Suppose -x = 2*z - 3*y, -6*z + 2*z + 40 = 5*y. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 120857?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*c - 38*c - 78*c + 2*c + 2*c - 3*c + (3 - 3 + 2)*(3 - 3 + 2*c) + 28 - 28 - 3*c.\nAnswer: -86*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.5. Which is the closest to -2\/7? (a) -2\/3 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 74 = 14. Let d = q + 77. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27923.000031586 + -27923. Round h to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -17)\/(6\/(-15)). Let z be s\/(-9) + (-1)\/(-1). Suppose 0 = -2*v + 5*v - 144. Calculate the highest common factor of z and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*v - 2*a, -4*v + v + a + 11 = 0. Let l(o) = -o**2 - o + 4. Let r be l(0). Find the second derivative of 5*t + t**r - v*t - t wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 - 355*x**4 + 1470*x**3 - 2230*x**2 + 1495*x - 375 = 0 for x.\nAnswer: -75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 20690640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20200 + 100222221?\nAnswer: 101020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -92, -2\/13 in ascending order.\nAnswer: -92, -2\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.919 + 0.081. Is -31 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10*k + 14 = 8*k, 2*k = b - 5. Let f(i) = 2*i + 5. Let v(g) = g + 6. What is b*v(m) - 4*f(m)?\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 1944*g**2 + 27*g - 17496.\nAnswer: -3*(g - 648)*(g - 3)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3, n: 4, e: 3, b: 5}. Give prob of picking 2 b and 1 u.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 minus -6.33?\nAnswer: -8.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -2. What is the second derivative of -u*r + 3*r**4 + 0*r - r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 376048.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 135*q + 4. Let g(r) = -383*r - 11. What is 6*g(n) + 19*h(n)?\nAnswer: 267*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765653.\nAnswer: 3, 409, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*h + 819 = 197*h. What is the remainder when 75 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 13*q**2 - 15*q - 7. Let i be r(11). Suppose 2 = -g + 3*v, -v + 23 = -4*g + i. Let a = g + -9. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**2. Let g(q) = -34*q. Calculate g(f(u)).\nAnswer: -306*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -16. Solve -2*k - 4*d + 2 = 0, z*d + 4 - 29 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-3 - 695\/(-230))*1). Let s = v + -182. Let z(i) be the second derivative of i**4\/6 - i**3\/3 + i. Calculate z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 31*x**2 - 9*x + 5. What is k(2)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -24. Let s(j) = -2*j - 3. Let l be s(-2). Put l, 0, t in decreasing order.\nAnswer: l, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 63*x = 3612. Calculate the remainder when x is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, -15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -494 (b) 0 (c) -4.8 (d) -6376\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - i + 140, -2*v - 3*i + 0 = -105. Suppose -4*j + 5*g = -16 - 22, -5*j = -5*g - v. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + v**2 + 3*v + 3. Let f be g(-2). Suppose -4*h = -27 - f. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168680815 divided by 1\nAnswer: -168680815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111701.\nAnswer: 19, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 2*q - 8. Let i = -4010 + 4007. Let m(r) = 3*r**2 - 2*r - 7. Calculate i*m(p) + 2*k(p).\nAnswer: -p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/187)\/((-2)\/(-11))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3\/7 + 1703748*k**2\/7 + 3407484*k\/7 + 1703740\/7 = 0.\nAnswer: -425935, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13106364?\nAnswer: 2, 3, 83, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16143645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 + 15*v + 10. What are the prime factors of c(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*u + 24 = 0, n + 5*u - 55 = -10. Calculate the greatest common divisor of 1110 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5392 * 76\nAnswer: 409792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -6*q. What is the biggest value in -2, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/((-44)\/(-209)*-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 0*d**3 - 3*d**3 + 2*d**3)*(-5*d + 13*d - 30*d).\nAnswer: -22*d**5 + 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8217, -8218, -8219, -8220, -8221?\nAnswer: -8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -3, -166 in descending order.\nAnswer: -3, -51, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - 0.6. Let f(w) = -w**2 - 10*w - 4. Let t be f(-11). Let g = t + 15. Which is the closest to -2? (a) -0.4 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f + 3. Let p(l) = -3*l**2 - 3*l + 6. Determine -5*a(w) + 2*p(w).\nAnswer: -w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103376 = 3*r + y, -5 = -9*y + 14*y. Is 158 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 55*t + 137. Let o(p) = -14*p + 34. Let x(a) = -2*b(a) + 9*o(a). Solve x(z) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177618.\nAnswer: 2, 3, 7, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let p be (-4)\/14 + 6\/21. Suppose -3*i + 4*i = p. Put 4, r, i in decreasing order.\nAnswer: 4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*i + 325 = 0, -4*h + 6*h = -5*i + 137. Suppose -4*z + 5*z - h = 0. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -15 + (-20 + 7 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-10 - (-40 - -22)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230 + 112110?\nAnswer: 103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16.1 * -167\nAnswer: 2688.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 115*x + 342. Determine d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let g = -39.1 + 39. Which is the third biggest value? (a) -1 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.35 + -6.25. Let q = 7.7 + r. What is the biggest value in 1\/6, 4, 1\/4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.05, 4\/9, 8\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 15*g + 61. Let d(v) = -22*v + 164. Let c be d(7). Suppose 2*x - 4*x - 3*u = -101, -2*u = 2. Calculate the remainder when x is divided by l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204648835 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(132)\/(sqrt(6) - -1*sqrt(42)\/sqrt(7)))\/(sqrt(1331)*-1*-2).\nAnswer: -5*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) 1\/2 (c) -3 (d) -1.39 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -41 + 75. Let k(t) = 14*t + 10*t + 8*t - r*t. Let z(g) = 7*g**2 - 4*g**2 - 2*g**2. Give z(k(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78694067653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16692 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + -0.5989573.\nAnswer: -0.6789573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57218976 and 1220?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12472674 is divided by 392.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 39*k - 18. Is 33 a factor of z(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/761 - 1734\/40333. What is the biggest value in 1\/6, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702190 is divided by 482?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -z + 12, -5*z - 25 = -2*p. Solve 0*o - o - p*q = 8, q = 3*o + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 3, -66593, -0.6 in increasing order.\nAnswer: -66593, -0.6, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 2*r**2 - 6*r - 37. Let y = -7 - -17. Suppose -5*g = -2*p - 5, 3*g = -p - 2*g - y. Give m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -108804.\nAnswer: 1\/108804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4524 by 174.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:49 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*d**2 + 507*d**2 + 958*d**2 to the form c + r*d + z*d**2 and give z.\nAnswer: 1515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-93*k**4 + 72*k**4 - 1031*k**5 + 953*k**5).\nAnswer: 78*k**5 + 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -573 smaller than -573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101597 divided by -1.\nAnswer: 101597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -41023*y**2 - 18*y - 224. Let v be r(18). What is v rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 126.5. Let v = 124.000091 - j. Round v to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 o when three letters picked without replacement from {f: 1, o: 1, t: 1, b: 1, i: 2, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*4\/12 - -1. Let u(y) be the first derivative of -y**2\/2 + 10*y + 2. Let i be u(8). Solve -s - a = -3*g, -3*g - 4*s - 6 - i = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 + 20*o**2 - 5*o - 30 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from {w: 1, s: 3, o: 6, f: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/7)\/(y**24*y) assuming y is positive.\nAnswer: y**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 20*n + 2. Give l(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 5*l**3 + 9*l**3)*(-l - 6*l + 2*l).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 - 7 = 0. Differentiate -42 - 7*g**z + 14 - 9 + 39*g**3 with respect to g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19266 and 1352.\nAnswer: 77064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 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: Let h(m) = -m**2 + 2. Let b(k) = 3*k**2 - 7. Let v(r) = 4*b(r) + 14*h(r). Let g(o) = -8298 + 8298 + 5*o**2. What is g(v(u))?\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2732+6512086\nAnswer: 6512086.2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.003713787 + -0.27?\nAnswer: -2.273713787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5509*t**2 - 6343 wrt t?\nAnswer: -11018*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121.32 and 1.\nAnswer: 121.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let t be r(-3). Let p(k) be the second derivative of 1\/6*k**t + 0 + k**2 - 2*k. What is the derivative of p(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -297?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 146201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1437?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 263 = -5*z. Let b = z - 50. Solve -r + 5*j = -6*r - 30, b*r + 9 = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196\/153 + -18\/17. Let g be 2\/24*4*15. Solve 4\/9*v**2 - 2\/9 - 2\/9*v**4 - 2\/9*v**g + 4\/9*v**3 - d*v = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -698 divided by -2206.\nAnswer: 349\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 8)\/((-9)\/(-6)). What is the remainder when 21 is divided by a + 4 - (-1 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -927345.\nAnswer: 2\/927345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x - 3*a + 21 = 0, -5*x = -2*a - 21. Suppose 0 = 2*z - 3*t + 123, z + z - t = -125. Let j = 78 + z. Put -4, j, x in increasing order.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 979641008941\/4524 - 216543102. Let n = -3\/377 + w. Find the common denominator of n and -193\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1818 and -17\/53934?\nAnswer: 161802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14519 + 14490. What is the nearest to 1 in -0.5, -0.16, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let o(r) = r. Let s(z) be the second derivative of 22*z**3\/3 + 8*z. Let q(j) = -72*o(j) + 2*s(j). Give i(q(p)).\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, -7, -97, -277, -577, -1027?\n\"Answer: -5*v**3 + 5*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4 - 34*l**3 + 938*l**2 + 14554*l - 15456 = 0.\nAnswer: -23, -16, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 - 116. Determine w so that -4*w**5 - r*w**2 + 176*w**2 - 4*w**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x + 4. Let o be (-3)\/(-6)*-2*x. Suppose -3*q = 2*t + 3, -5*t + o*q + 18 = q. Solve -4*k - t - 10 = 5*u, 2*k + 8 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 4*u + 0*u. Let h(y) be the second derivative of -5*y**4\/12 + 57*y - 3. Give h(o(v)).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 44296, -2\/13, 1.44?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 2. Let t be x(-4). Suppose -1 + 5 = 2*p. Suppose p*q - 15 = -3*q. What is the second biggest value in 0.3, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -3 - 0\/9. Is -2 + 1 + (93 - s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 11*t + 4. Let h be s(-11). Suppose 6 = -3*m + 2*g - h*g, 0 = -m - 4*g + 8. Suppose -8*v = -v + 28. Is m greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 2 - (-2)\/(30\/57). Which is the biggest value? (a) z (b) -25 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13864?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0, 1\/2, -1, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -3 + 80\/44. Let i = -49\/33 + z. Which is the third smallest value? (a) -1 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121365.1 weeks to nanoseconds.\nAnswer: 73401612480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045503.\nAnswer: 2045503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 22. Give l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4298 - -1235. Let x = i + 12163\/4. Let s = 2\/3321 - 21041\/13284. Find the common denominator of s and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**3 + 4*q**2 - 4*q - 1. Let v(r) = 8*r**3 - 3*r**2 + 3*r + 2. Let b(x) = 4*v(x) + 3*w(x). Find the first derivative of b(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5153 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -11. Let t = g + 12.99999948. Round t to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2823418 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5319 - -5421. Calculate the greatest common divisor of 1241 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 15*y - 75. Calculate i(8).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 1, t: 2, i: 1, l: 1, u: 1}. What is prob of sequence hu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 2*l**2 - l + 1. Let j(m) = 7*m**3 + 12*m**2 + 4*m + 4. Calculate j(p) + 6*k(p).\nAnswer: p**3 - 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-162*v**2 - 39 + 39)*(-4 - 3*v + 9 + 8*v) to the form h*v + w*v**2 + n*v**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:37 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*u - 295*u + 3600 - 11142 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11572.929 minutes to hours.\nAnswer: 192.88215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i - 105 - 12*i + 105 + 20*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:42 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 882 = 7*i. What is the remainder when i is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**2\/2 + 3*u - 3. Calculate q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = -41. Calculate the remainder when f is divided by 36\/10 - (-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + 3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**5 + 0*d**2 + 5\/6*d**3 + 0*d**4 + 3*d + 0 - 1\/30*d**6. What is the second derivative of b(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.78. Let c = -0.12 + d. Let f = -0.03 + -0.27. What is the third biggest value in -3, c, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 + -314332?\nAnswer: -314442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -638270?\nAnswer: -638270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/129 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15150 + 13816 = -58*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/2 - (1 - 3). Let h be (2\/(-5))\/(f\/24). Let o be 0\/((-2)\/(-1)*(-24)\/16). Is h bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 17 - 1 - -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1469159 = 5*o - 1570816, -10 = 2*o. Round t to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186980 divided by -1?\nAnswer: -186980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/(-4))\/7)\/(-8)*(-707)\/7070?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8583?\nAnswer: 3, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b134 (base 12) in base 5?\nAnswer: -2234203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j + 2*s - 6 = 0, s = 1. Solve -2*a = -3*c - 16, -2*c - j*a - 7 = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 6624*r**5 - 6640*r**5 + (2*r**2 - 2*r + 2*r)*(0*r**3 + r**3 - 2*r**3).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6045 divided by -1?\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/(24\/60). Let f(w) = -w**2 - w + 4. Give f(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26775, -53551, -80327?\n\"Answer: -26776*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2\/13, 186 in descending order.\nAnswer: 186, 1, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/7 - 239299*j**2\/7 - 5265062*j\/7 = 0.\nAnswer: -22, 0, 239321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3655 (base 8) in base 12?\nAnswer: -1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 467 and 4.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19917 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m**2 + 29*m + 46. Let t(r) = 12*r**2 - 19*r - 31. Let w(z) = 5*b(z) + 8*t(z). Find p, given that w(p) = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 10) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23344012 (base 5) to base 7\nAnswer: 1555205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 991561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let l(t) = -7*t. Give -40*h(a) - 5*l(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39499521?\nAnswer: 3, 13166507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 247629*a - 116415*a - 120705*a as j*a + o and give j.\nAnswer: 10509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17507 + 30556. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, m: 1, y: 3, u: 9}. What is prob of sequence uyu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 6 + 43 + 13 + -6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 4*a**2 - 8*a + 5. Let d be g(2). Suppose -d*s = -3440 - 3868. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*y - 123*y - 15*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 264, 271, 280, 291, 304?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.1, -809403, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 143. Let v be (-6)\/15 + o\/(-10). Let q(a) = a**2 + 9*a - 2. Let l be q(v). Solve 0 = -7*s + 3*s + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**4 - 4*y**3 + 11*y**2 + 2*y - 7. Let o(u) = 7*u**4 + 3*u**3 - 10*u**2 + 6. Let t(w) = 6*f(w) + 7*o(w). Factor t(p).\nAnswer: p*(p - 3)*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 26. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25209 and -1.11.\nAnswer: -27981.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39 + 32)*(-1 - (-15)\/21). What is the greatest common divisor of 852 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*v - 9755 = -5*z - 412*v, -z - 5*v = -1971. Does 94 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/((w**0*w)\/w*w))\/(w*w**2*w*w*w)**(3\/20) assuming w is positive.\nAnswer: w**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l = 38*l - 42. Let a be (3 + (-18)\/8)\/(l\/(-40)). Solve 5*f = -3*z, -a*f + 20 = z - 10*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 4, 299?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*x - 112. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -37\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 37. Sort 1, -2, n, -1 in increasing order.\nAnswer: -2, -1, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387124 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**3 - y**3 - 3*y**3 + 2*y**3 + 2*y**2 + y**2 + 2*y**3 + (-3 - 1 + 0)*(3*y**3 - 4*y + 4*y) to the form s + a*y**2 + n*y + m*y**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*z - 1809*z + 556*z + 624*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147155312 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16815 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - 1) + 0)*501 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -27*v - 13. Let s be j(-3). Suppose 5*h = -12*h - s. Which is the closest to 0? (a) h (b) -2 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 + h + 3. Let g be a(0). Let q be 2\/((-3 - (-3)\/6) + g). Suppose q*d + 5*i = 95, -d + 4*d + 2*i = 80. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5039 = -4*m, 6*j - 3*j - 3 = 0. Let b = 2301\/2 - m. Are b and -109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -6*t. Let y = 8 - t. Suppose 29*p = 122 + 52. Solve 0 = 3*v, i + p*v - 3*v - y = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 612, 1948, 4484, 8604?\nAnswer: 14692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813659 is divided by 129533?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -46, -121, -246, -433, -694, -1041, -1486?\n\"Answer: -2*p**3 - 7*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 + 22 = -10*k - 96 - 170 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, g: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9992 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1759, 1764, 1771, 1780, 1791, 1804?\n\"Answer: f**2 + 2*f + 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76825)\/(-50)*(-2)\/(-7). Suppose -s*y + 440*y = 1604. Does 70 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 + 1)*(-2*w**2 + 0*w**2 - 7*w**2).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-1)\/(-2)*0. Suppose 3 = -3*b + 4*g - i, 2*b = g. Solve -b = -3*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7367 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*g + 1454*g + 1337*g = 359809 for g.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10976 + 11029. Solve 9*z - t + 107 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 19*y + 32. Let a be k(20). Let l be 3 - (a\/(-2))\/(-6). Solve -l*z - 4*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/5 - 684*a\/5 + 544 = 0 for a.\nAnswer: 4, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 98 times 4043.583\nAnswer: 396271.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlld when four letters picked without replacement from lddlll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4821*d. Let q(a) = 3*a. What is f(q(t))?\nAnswer: -14463*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 2634380*y\/3 - 867494748050\/3.\nAnswer: -2*(y + 658595)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-160)\/(-26) - (-4)\/(-26). Let f be a + -2 + -3 + 1. Suppose -f*b = -3 - 3. Solve -3*y + 3*i - b = 0, 4*i + 2 = -2*y + 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*(-8)\/24*-37 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 10*p - 4. Let g be o(9). Suppose -2*k = -g*c - 39, -c + 2*c = -1. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/1440 + d**5\/16 - 75*d**4\/32 - 7*d**3\/3 - 11*d + 3. Let l(x) be the second derivative of w(x). Factor l(b).\nAnswer: -(b - 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**2 - 1\/24*v**3 - 8*v + 133. Factor x(t).\nAnswer: -(t - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1351 and 10229?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndrddddddrgir. What is prob of sequence rrgn?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.013 + 0.277. Let l = d - -0.01. Let f be (10 - 3)*64\/(-112). Which is the closest to f? (a) -5 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/24*(-11 - (-9)\/((-81)\/(-36))).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (12 + -30)) + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*r + 3*m - 21, 0 = 5*r + m - 125. Suppose -i - r = -313. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 19*s + 49. Let w(c) = -c - 3. Let f(i) = -o(i) - 3*w(i). Factor f(j).\nAnswer: -(j - 20)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddpddpddddddddpd. What is prob of picking 1 p and 1 d?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1029630 > -1029670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799400 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - s - 3 + 22 = 0, 16 = -4*n - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868 divided by 2.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 3*x + 1 + 3*x)*(-2032*x**2 - 8697 + 8697) as f + b*x**3 + r*x + s*x**2 and give b.\nAnswer: -4064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-347492)\/(-11) - (-18)\/(-99). Suppose -4*z - c = -w, -w - z + 31596 = z. Suppose 79406 = q - w. Round q to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0*l + 73\/12*l**4 + 47\/168*l**8 + 1 + 0*l**3 + 41*l**2 + 0*l**6 + 0*l**5 + 0*l**7. Find the second derivative of h(v) wrt v.\nAnswer: 1880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-43)\/((-860)\/389360) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3932*b**6 + 2352*b**6 - 4128*b**6 + 363*b**2 - 2*b wrt b.\nAnswer: -684960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:35 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4, 3*g + i + 25 = 9. Let u(l) = -5*l**3 + 5*l**2 + l - 1. Let k(j) = 3*j**3 - 2*j**2 + 1. Let t(a) = 7*k(a) + 4*u(a). Calculate t(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8554 - 15934. What is p rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2903 - 2138. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*h = 0, -c + 2*c + 5*h - 40 = 0. Suppose -4*y - 47 = -o + c, -y = o - 57. Let j(p) = 21 - o + p + 18 + 15. Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = 384*u + 6992 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 69513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/(-46)*(-4)\/5)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 3*y + 1. Let b(k) = -3*k**2 - 7*k + 2. Give 4*b(t) - 9*o(t).\nAnswer: -3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlsv when four letters picked without replacement from {w: 5, v: 4, s: 1, l: 9, d: 1}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-3809\nAnswer: 380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**4\/24 + 5*o**3\/6 - 41*o**2. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*y + 2*f + 4, -4*f + 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.096753 to three decimal places.\nAnswer: -8.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 - 1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2\/2 - 3090*f - 954810 = 0. What is f?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/360 + h**4\/36 - h**3\/12 + 6*h**2. Find r, given that k(r) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let h(c) = 163493*c**2. Determine h(s(p)).\nAnswer: 653972*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-3) + 82 + -100?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 29*a - 13 = -12*a - l, -4*a + 6*l - 64 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 2, p: 1, j: 2, m: 4, b: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**8\/2240 + q**6\/240 - q**4\/4 + 3*q. Let i(z) be the third derivative of l(z). What is the second derivative of i(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.01, 0.5, -1\/10, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 5, 306, 0.1 in decreasing order.\nAnswer: 306, 5, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 2*a**3 + 4*a**3 - a**3 + a.\nAnswer: a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or 0.06?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8 + 0*p**2 - 18*p**2 - 2. Let t(s) = -s**2 + 1. Let k = -10 + -26. Let u(m) = k*t(m) + 3*f(m). What is the first derivative of u(o) wrt o?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1589.2689 months to decades.\nAnswer: 13.2439075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/33 + 16\/88)*-9. Suppose -16*t - 120 = 14*t. Sort -2, y, 1, t in decreasing order.\nAnswer: 1, -2, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28676507\/24574 + 529\/2234. Let o = -1167 + y. Factor -32\/11 - o*q**2 - 16\/11*q.\nAnswer: -2*(q + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 10*s + 28. Let d be c(-7). Suppose -88 = 5*b - 5*p - 18, -58 = 4*b - 3*p. Let n = d + b. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-42)\/(-5))\/((-27)\/(-90)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522137483 to the nearest integer?\nAnswer: 22850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67175245 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3273449*y**3 - 514144*y**2 + y - 1 wrt y.\nAnswer: -19640694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679106 is divided by 908?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 7.6?\nAnswer: -121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3\/5, 14\/3, 1\/2 in descending order.\nAnswer: 14\/3, 3\/5, 1\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(341\/66)*(-3)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1235\/(-4) - 22\/88. Let h = g - -436. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 797 and 208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84448 and 10.\nAnswer: 422240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 + 3467612*o\/5 + 3006083245636\/5.\nAnswer: (o + 1733806)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 875*t + 0 - 154*t.\nAnswer: 721*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 17 + 19. Let i = 20 + j. List the prime factors of (i*2\/(-8))\/((-1)\/228).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8850817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/6, 5, -2, 2\/9, -69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 3}. What is prob of picking 4 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223? (a) 5 (b) -0.2 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, 0.01, 0.1, 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let p(f) = 3*f - 2. Let x(l) = -1. Suppose c = 2*k + 5 - 14, -c + k = 5. Let b(a) = c*x(a) + j*p(a). Find the first derivative of b(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from zzcv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-4))\/((-255)\/68))\/(9\/15)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 1. Let r(z) = z**2 - 5*z + 3. Let n(p) = h(p) + r(p). Suppose -l + 2*i = 0, -5*i + i - 18 = -5*l. Let s be n(l). Solve 3*t + 5 = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2925*a - 5605. Give t(-2).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661, -2637, -5931, -10543, -16473?\nAnswer: -23721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/2 (b) 1 (c) -2 (d) -3 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:28 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 - (-2 + 13 + -32) - -21?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535892 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1624555290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3362 divided by 256\nAnswer: 1681\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314009 (base 10) in base 15?\nAnswer: 5a3359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40902 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.09 - -18.992. Let n = m + 0.098. Which is the nearest to -1\/3? (a) n (b) 16 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2481 and 188920707.\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34720280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:38 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:25 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7 + -6 + 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001111001000001 + 100?\nAnswer: 1001001111001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 11. Calculate the greatest common factor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007014812955 to seven decimal places.\nAnswer: 0.0007015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose -4*d = -k*d - 5. Let u = d - 2. Which is the third smallest value? (a) -5 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36535039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = 6*k. Suppose 4*s - 261 = 2*s - 3*p, -3*s + 389 = k*p. Suppose 5*h - x - 166 = -0*x, -4*h = 3*x - s. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*54\/(-26) + (-4)\/(-104)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v**3 + 11*v**2 - 11*v - 1. Calculate d(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53\/93 - -3\/31. What is the third biggest value in -1\/5, 1, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10*p - 118 = 0, 5*p + 91 = 2*n + 8. Solve -97*u = -n - 267 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.031243469 times 0.4\nAnswer: -0.0124973876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*x - 497*x + 120 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)\/r)**36*(r**(-3\/5))**(-2\/35) assuming r is positive.\nAnswer: r**(-69294\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 53519.\nAnswer: -481671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 - -0.06. Let h = f - 0.6. Let w = 0 - -3. Which is the closest to -0.1? (a) h (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6558 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -510117, -1020214, -1530309, -2040402?\n\"Answer: c**2 - 510100*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(sqrt(5) + 2) + sqrt(5).\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0 = u - 6, 12*t + 14*u + 275 = 11*t + 424 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 437664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 61 = 325. Let v = 40 + t. Let z = -7 + v. Solve z = -2*w + 3*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/60 - b**4\/24 + b**3\/6 - 2*b**2 - b. Let x(y) be the first derivative of g(y). Determine x(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*b - 18*b - 21516 = 95*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-2 - 2 + 2)*(-3*s - 4*s + 3*s + (2*s - 5*s + 2*s)*(-2 + 2 - 1) - 2*s - 1 + 1 - s + s - 2*s - 2*s + 4*s + s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 17 = -3*s, s + 1 = -2*s - 5*x. Calculate the least common multiple of s and -12*((-14)\/3 + 3 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 263010168 and 4?\nAnswer: 263010168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 14. Calculate x(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 442.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 8) to base 14\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3414 - 682799\/200. Let c(h) be the third derivative of 0*h + 0*h**3 + v*h**6 - 1\/30*h**4 + 0*h**5 - 22*h**2 + 0 - 1\/1050*h**7. Factor c(f).\nAnswer: -f*(f - 2)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(-4383 + 7475 - 3779 + (0 + 3 - 5)*(0 - 1 + 0)) - 2*h + 4 - 4 - 3*h + 3*h + h.\nAnswer: 1369*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 83*j**3 + 5*j**2 + 8*j - 7. Let y(b) = -250*b**3 - 14*b**2 - 23*b + 20. Let s(q) = -6*y(q) - 17*z(q). Is s(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 10, -91 in decreasing order.\nAnswer: 10, -1, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4\/9 + d**3\/3 - 13*d**2\/9 - 17*d\/3 - 4 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -57773, 2516?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 + w - 3*w**2 + 3*w**4 - 5*w**4 in the form t*w**3 + i*w**4 + d + a*w + h*w**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (131 + 9)*(-15)\/(-4). Let v = w - 289. Calculate the remainder when v is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 125?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:24 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -875.6 + 876. Put -58, 1, j in decreasing order.\nAnswer: 1, j, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2*x**4 + 0*x**4 - 3*x**4) + 204*x**4 - 393*x**4 + 190*x**4 + 2*x - 97*x**3.\nAnswer: 2*x**4 - 97*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 127*o**2 + 387*o - 413. Determine a(-130).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 121065?\nAnswer: 242130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*y = 214*y + 160 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 3\/184, 0.76 in decreasing order.\nAnswer: 0.76, 3\/184, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, t: 4}. What is prob of sequence yyty?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p - 33000 = -70*p. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*v - 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 + 7*b + 6. Calculate j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26\/369 - 12\/41. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -14. Let k = -5 - f. What is the remainder when 57 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:52 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 3*h - 20)*(-h**3 - 2*h**3 + 2*h**3).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9695744)\/1616175 - (-7 - (-1)\/1). Which is the second smallest value? (a) v (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**7\/14 + 7*t**6\/30 - 13*t**5\/40 + t**4\/4 - t**3 - 5*t**2\/2 + 61. Let q(p) be the third derivative of s(p). Factor q(j).\nAnswer: -3*(2*j - 1)**2*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z = 5*c - 46*z - 160, -26 = -c - 0*z + z for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70\/69 - 8\/23. Let l be (-1)\/((-5)\/(-2))*60\/(-4). Let r be (-56)\/60 + (l\/(-15) - 0). Which is the second biggest value? (a) r (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.243 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f*t**3*x - 15*f*t**2*x**2 + f*t*x**2 + f*t*x - 34*t**3*x**3 - 2*t*x**3 wrt t.\nAnswer: 30*f*x - 204*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -17)*4\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302998845?\nAnswer: 3, 5, 20199923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-15))\/6*(55\/154 + 0)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 less than -45700?\nAnswer: -45699.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**2 + 3*y + 1. Give c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 131. Let v = 129 + s. Which is the closest to 3? (a) -1 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -1202?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15538.5942 less than 1834.87?\nAnswer: 17373.4642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g + 218*g - 8 = 0, 5*t - 24 = -3*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1 + (-5)\/(-3)). Suppose -v = y + 8, -4*y - c*v - 40 = -v. Let p be 2\/8 - (-39)\/y. What is the smallest value in -1, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = w, 0 = -2*w + 3*c + c - 16. Suppose 4*i - 234 = -5*m, w*i + 2*m = 3*i - 164. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 3. Let o(i) = -1. What is n(v) - 5*o(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*y**2 - 182*y wrt y?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*k - 43, 7*k - 2*k + 3*a = -50. Let h(p) = -11*p**2 - 13. Let r(b) = -5*b**2 - 6. Determine k*r(n) + 3*h(n).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 150. Let q = -3.4 + 4.06. Let z = q + -0.5. Put v, z, 5 in decreasing order.\nAnswer: 5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000112220201120 + 22?\nAnswer: -10000112220201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from vlvlff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 622980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106\/55 + 4981\/330. Let t be ((-660)\/2)\/(-19 - 4). Let n = t - 4366\/253. Calculate the common denominator of h and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 836 - 834.485. Let s = -1.51495445 + t. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r - 22674 = -23064 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/26 - 116\/754)*13\/(-390)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 7*p - 11. Suppose 5*i + 4*j + 41 = 0, i + 4*j - 22 = 3*i. What is the remainder when d(i) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 + 3*m + 4. Let f(q) = -q**2 + q + 2. Let k be f(-2). Let t = k - -7. Determine v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13495 divide 2378521703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3377 - 16856\/5. Let o be (669\/(-4770))\/(2\/69). Let g = o - 13\/212. Calculate the common denominator of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50681\/12, 2, 0?\nAnswer: 50681\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223521728 to the power of 1\/2, to the nearest integer?\nAnswer: 14951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27441938.\nAnswer: 2, 37, 370837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23252349 is divided by 91?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-3\/2)*(m**(-2\/5))**(-46) assuming m is positive.\nAnswer: m**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 - -194.2. Let x = -14 + w. Round x to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 9, -0.031, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1875534 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487305?\nAnswer: 3, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 647*y - 726*y**5 + 1178*y**5 - 452*y**5 - 1259*y**6 + 3*y**2 wrt y?\nAnswer: -151080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-1 - -14) + 2 + -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70668823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 35. Let j = i - 8. Let p(d) = d**2 + 5*d + 5. Let r(v) = -v - 1. Calculate j*p(h) + 9*r(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 15, b: 5}. Give prob of sequence mbbb.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 36*p = 32*p + 17, 2*b = 4*p - 22. Let w(n) = -24*n + 11. Determine w(b).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 - -312. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-1))\/o)\/o)**(-1\/8))**(2\/3)\/((o**(-1))**(5\/9)*o**(1\/7)*o\/(o*o**(4\/5)\/o*o)) assuming o is positive.\nAnswer: o**(869\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10040144 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 7*b + 49 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22064, 22067, 22070, 22073?\n\"Answer: 3*l + 22061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 488.71501 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 25*o**2 + 2*o - 46. Calculate b(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9655 + 1647 = -7*u. Calculate the smallest common multiple of 728 and u.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*890\/(-712)*(-12)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let w be (-1)\/o + 12\/9. Suppose w*d + 2\/3*d**4 + 0 - 2\/3*d**2 + 0*d**3 - 1\/3*d**5 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6372\/(-144))\/59*1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w*w*(w\/w**(-1))\/w)\/(w**(-5)*w*w**(1\/3)*w) assuming w is positive.\nAnswer: w**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2304 + 1854.7. What is h rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/12 - 8*455\/280?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48726497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 7978?\nAnswer: 7978.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 17 + w - 3*w)*(-15*w + 6*w**4 + 15*w).\nAnswer: -12*w**5 - 276*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(425) + sqrt(425) + sqrt(425) + (-4*sqrt(51)\/sqrt(3))**2).\nAnswer: 15*sqrt(17) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 473? (a) 1 (b) -0.08 (c) 4\/9 (d) 85978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:12 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y, -13 - 10 = -5*u + 3*y. Suppose -3*k + k = -3*g + 37, 3*k = 3*g - 33. What is the remainder when g is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 292? (a) 3 (b) 0.2 (c) 2\/5 (d) -1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6155382 rounded to three dps?\nAnswer: 4.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2762*g**6\/3 + 3110*g**3\/3 - 5410. What is the third derivative of q(l) wrt l?\nAnswer: 331440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 66 = 0. Determine n, given that g*n**4 + 2*n**5 + n**3 + 21*n**4 + 4*n - 2*n**2 - 7*n**3 - 41*n**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((3\/(-12))\/((-6)\/8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-10)*(-475)\/38. Suppose 0 = 5*w + 4*i - 58, -2*w - i - m = -5*w. What is the remainder when 26 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 + 3*b**2 - 5*b**2)*(-50*b + 130 - 130) + 6*b**3 - b**3 - 2*b**3 to the form j*b**3 + s + m*b + k*b**2 and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -3, -165 in decreasing order.\nAnswer: 8, 2, -3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1839.303 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/6*(-1 + 3). Suppose -2*v + w = 29, 0*w + 5 = -5*w. Let o be 4\/(24\/v)*b. Solve o*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -136, 5, 0, 2 in descending order.\nAnswer: 5, 3, 2, 0, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 24 - 24. Let z(c) = -2*c - 6. Let u be z(-4). Let s(t) = -1 - 1 + 2*t + u. Give s(a(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2493*l**2 + 5474*l**2 + l**3 - 2423*l**2.\nAnswer: l**3 + 558*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2648 + -1)*10. Let z = h - -688659\/26. Let b = 242\/17 - 2283\/238. What is the common denominator of z and b?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k - 2*h, k = -h + 14 - 8. Let n = 75 - 70. Solve k*v - 3*v + n*s = -8, -4*v - 7 = 3*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orsssosro. What is prob of picking 3 s and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*3 - sqrt(95) - sqrt(95))\/(sqrt(320)\/sqrt(4)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -86, -1, -4, -26, 34 in descending order.\nAnswer: 34, -1, -4, -14, -26, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - (-10 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6645, -13256, -19867, -26478?\nAnswer: -33089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -23305, 0.3 in decreasing order.\nAnswer: 0.3, -133, -23305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53486723 = 141*w - 8764636. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1935 (c) -1 (d) -4 (e) -0.42 (f) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14690 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 n, and 1 x when three letters picked without replacement from {x: 1, k: 1, h: 2, b: 2, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*z**4 + 19*z**4 - z - 50*z**4)*(2 + 2 - 5)*((-3*z + 6*z - z)*(4 + 0 - 2) - 36*z - 1541 + 1541).\nAnswer: -224*z**5 - 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/((-6)\/(-9) + 50\/60). What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 7544*m - 7561*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 2.9. Let j = z + -1.22. Let g = j - -0.16. Which is the smallest value? (a) -2 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 16*q**2 - 17*q + 25. Calculate t(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 73. Let r(y) = -y**2 + 1415*y. Calculate r(u(q)).\nAnswer: -4*q**2 - 3122*q - 108624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1607?\nAnswer: 321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*w**3 - 3*d**3 - 66*d**2*w**3 + 7813*d*w**2 + 18*w**3 wrt w.\nAnswer: 30*d**3 - 396*d**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7273*l = -7120*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*l - 7760, -52*t + 53*t = -3*l + 5826. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -21. What is the smallest common multiple of d and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*f + 2*f = -3, 0 = 4*g - 2*f - 6. Suppose -6 = -2*v - g*n, -5*n - 7 = 3*v - 17. Solve 4*b + l = -6, 3*b + v - 3 = 3*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffbyffwhhfwlf. What is prob of picking 2 w, 1 f, and 1 y?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 133. Suppose 4*y - 38 = 26. Solve y*s + i = 15*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:06 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167358943?\nAnswer: 167358943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-1)\/((-16)\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-4 + 4 + 2*x) + (1 - 2 + 2)*(4*x - 4*x + 6*x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -16276 (c) 0.2 (d) 1.5 (e) -3\/14 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and -97\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2649 = 98*c, 13*z - 4*z = 14*z + 15 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(176) + 0 + sqrt(176) - sqrt(176) - sqrt(176)))**2 + 3 - 4*3*(sqrt(539)*2)**2)*-2.\nAnswer: 51738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d**2 + 3*d + 51 - 2*d + 54 - 107. Let j be b(2). Which is smaller: j or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 179827*g - 1258809. Calculate j(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5280, -42, 4 in decreasing order.\nAnswer: 4, -42, -5280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(300) + sqrt(300) - ((4 + sqrt(300)*5)**2 + sqrt(300)).\nAnswer: -7516 - 520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 12. Let q be l(5). Let s = q - -4. What is the closest to s in -2\/21, -1, -2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*s - x - 1 = 138*s, -s - 13 = -3*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30044 - 5?\nAnswer: 30036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5555300 to the nearest ten thousand.\nAnswer: -5560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-300)\/(-270))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31217807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 j when four letters picked without replacement from {a: 2, i: 1, r: 1, f: 1, j: 4}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 0 = 4*d - 16, -3*x = -2*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -46. Put -23, n, -2 in ascending order.\nAnswer: -23, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 8 - (-5 - (-14 + 1))) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1682283 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*132\/297?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-10)\/15*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33be (base 16) to base 5\nAnswer: 410441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 4, u: 2, t: 4}. What is prob of picking 3 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 - -177. Solve a + l = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8976947, 17953955, 26930965, 35907977, 44884991?\n\"Answer: g**2 + 8977005*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 - 4*w - 13. Give u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((300\/288)\/25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 8. Let m = 31 - 23. Let t be s(m). Calculate the common denominator of 162\/24*t\/30 and 17\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61.42003 years?\nAnswer: 6.142003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 423*q - 6 - 422*q - 10 in the form u + t*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/14 and 19\/307?\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121 and 0.10325.\nAnswer: 12.49325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 2. Let s(r) be the third derivative of -r**j - 1\/12*r**4 + 0*r + 0 + 0*r**3. Let a(z) = z. Determine a(s(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 32 = 53*i - 84*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66725.59 and -0.2174.\nAnswer: -66725.8074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 7*h + 7. Let m(n) = -n. Let a(l) = -4*l + 4. Let d(x) = a(x) - 2*m(x). Let f be d(5). Let u be y(f). Solve -t = -0*t + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 9. Let w be 597\/15 - 1\/p. Suppose -w = t - 3*t. Calculate the remainder when 59 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432104 + -2?\nAnswer: -1432111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 27 + 11 + 49*j**2)*(-4*j + 4*j - 2*j + 3) as f + i*j + w*j**2 + t*j**3 and give t.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75321*d**2 + 75318*d**2 - 225946*d**2 + 75320*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*i + 338 = 0, t - 47 = 4*i + 71. Suppose 4*h - t = 90. Let v = 53 - h. Solve 0 = -5*m + 6*m - s + v, 3*s = 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:49 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23478400 a multiple of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3846 and 170916?\nAnswer: 109557156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042382?\nAnswer: 2, 11, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2518064*a*y**3 - a*y - a + 7*y**2 + 39927*y wrt y.\nAnswer: -15108384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848 and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckl when three letters picked without replacement from {c: 7, l: 1, a: 5, o: 1, k: 1}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*w = -105*w - 892. Let x = 64 - w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a**3 - 20*a - 37*a + 40*a - 7*a wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 245\/3. Let h = -3555 - -3512. What is the biggest value in 2\/9, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2.3 (c) 4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9299205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118590472 divided by 770068.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 125. What are the prime factors of (b\/3)\/1*(10 - 13)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 + 0.04. Is 0.3 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341210917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f + 0*f)*(9*f**2 + 66*f - 66*f) + f**3 - 2*f**2 + 2*f**2 - f - f**3 + f.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 0*s**3 - 2*s**3)*(-159 + 409 + 677).\nAnswer: -3708*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/563 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 143170003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3039 or 0?\nAnswer: -2\/3039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690543.595 rounded to the nearest 10000?\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*s + 91*s - 18317 + 19857 = 0 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -771646 (base 9) to base 6\nAnswer: -13512023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(832) + sqrt(832)*-2 + 4)*-6)**2 - (-4*(-3 + sqrt(832)) - 5*(sqrt(832) - (-2 + sqrt(832) - sqrt(832))))**2.\nAnswer: -36660 - 2400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.0977. Round k to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-10)\/(-75)*(-7)\/2*-6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in ninety-nine quarters of a gram?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 2, -1, 4.\nAnswer: -135, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, -53 in ascending order.\nAnswer: -53, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/63 - ((-33793)\/987 + 29)?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61472 and 46104?\nAnswer: 184416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 26 - r**3 - 64 + 88 + 5*r**2 as b*r**2 + w*r + z + l*r**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2890086 is divided by 410.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 603377582*b**6 + 4173*b**2 - 23305*b + 2 wrt b?\nAnswer: 72405309840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 6*p + 4. Let u(w) = 2*w**2 - 11*w + 9. Suppose 4*i + 7 = -1. Let o(s) = i*u(s) + 5*f(s). Calculate o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29700 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556215 is divided by 2123?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-36) + 4\/18. Let a(y) = 2*y + y + h*y + 3 + 5. Give a(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6063 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3 + 6*i**2 - 4*i**2 + 5*i + 7. Let h(d) = d - 2. Let u be h(-2). What is the least common multiple of c(u) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 801 + -801. Suppose u = 36*s - 39 - 105. What is the highest common divisor of s and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-7)*22\/(-1144).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7557 + -7548.139. Let d = h + -0.061. Let i = 8.800051 - d. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 72. Let x(z) = 14*z**3 + 22*z**2 - 22. Let d(r) = 3 - 3*r**2 + 3*r - 3*r + 0*r**3 - 2*r**3. Calculate w*d(c) - 6*x(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 49*m + 2. What is the tens digit of d(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -124\/673?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from hnwqsnnnsssnwsqsnnss.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i. Let m(t) = 15*t. Determine -2*m(b) - 7*y(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 41 = 2*s + 5*x, -4*s + 2*x - 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnllnllnllllllnlnn. Give prob of sequence ln.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 21*w. Let h be o(21). Suppose h = -4*z + 2 + 38. What is the lowest common multiple of z and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1099*s - 349465. Give x(318).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtja when four letters picked without replacement from {j: 5, t: 2, a: 2}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1.450582068?\nAnswer: -1.750582068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/40 - m**4\/3 - 5*m**3\/2 + m. Let n(j) be the second derivative of o(j). Let i be n(4). Sort i, -17, 0.3.\nAnswer: -17, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 8*h\/5 - 12\/5.\nAnswer: -(h - 6)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/2 - 7*h**3\/6 + 3*h**2 - 3*h. Let s be y(6). What is the greatest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 + 74998278*w + 1406185425741321 = 0. What is w?\nAnswer: -37499139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(42\/(-8)*(-8684)\/(-15197)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 + 17 = 0. Let g be ((-300)\/(-21))\/n - -3. Suppose 2*x = 2*h + 16, -2*x - 7*h = -10*h - 20. What is the closest to -0.1 in -3, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 18239958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + ((-6)\/(24\/(-134)) - 12\/3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 39. Suppose -6*v = -3*v + 45. Let s be a(v). Let o(g) = 2*g**2 + 3*g + 31. What is the tens digit of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123586582 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 13*j + 5*p, -1779*j + 2*p + p + 30 = -1775*j - 3*p for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12 and 57\/(-12) - (-3 - (-3 - -3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15*a + 46. Let h(q) = 25*q - 8. Let p be h(-1). Let l be 12\/(-20) - p\/5. List the prime factors of f(l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1487*a + 752*a + 818*a.\nAnswer: 83*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9044963 to three dps.\nAnswer: 4.904","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 58441023.6?\nAnswer: -58441011.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -412400 (base 8) in base 9?\nAnswer: -227148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3968, 3967, 3966, 3965, 3964?\n\"Answer: -n + 3969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646290933 to the nearest integer?\nAnswer: 25422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:36 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4319 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjaa. What is prob of sequence jja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*(-37)\/37?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*((-76)\/4)\/1. Let w = t + -20. Put w, 3, -3 in decreasing order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)*t)**36*((t**(-11\/3)\/t)\/t*t*t)\/t**(-8) assuming t is positive.\nAnswer: t**(415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 12. Let g be v(4). Let d = 71 - g. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765954 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6222 - t**3 + 6211 - t**3.\nAnswer: -2*t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -23*f**2 + 2*f. What is m(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 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: 78 (base 14) to base 3\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6794000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2878406 and -33.\nAnswer: 2878406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen sevenths of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14360073 divided by -3\nAnswer: 4786691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-145)\/232 + 3\/(-72))\/(2\/3). Let s = -0.8 + 0.5. What is the third biggest value in y, 2\/27, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6105, -24224, -54413, -96672?\nAnswer: -151001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Suppose y*z = 7*z - 148032. Suppose -2322 = l - 2*w + 5082, -5*l + 4*w = z. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1921 at most as big as -3839\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6751 - 148481\/22. What is the common denominator of -43\/22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0673 + -0.8327. Which is smaller: -26 or d?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 2*k + 4*k)*(8829*k + 244265 - 244265) as x*k**2 + u*k + v and give x.\nAnswer: 17658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -17. Let b be 94\/s - (-22)\/(-33). Suppose -g + b = -1. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2. Let b be v(-1). Let h(c) = -c**3 + 12*c**2 - 3*c + 3. Let x be h(b). Suppose 3*s = -2*s + x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40468 (base 10) to base 12\nAnswer: 1b504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -3. Suppose 1 = d*y - 2*y. Let l(o) = 17*o**2. What are the prime factors of l(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 17. Let y(f) = -f - 5. Let v be y(w). Suppose 3*m - 2*k - 16 = v, 5*m - 4*k = 10 + 16. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*h + 13, 4*d = 2*h + 21 - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 - 4*y**3 + 6*y**2 - 14*y + 3. Let n be p(-13). What is the third smallest value in n, 0.4, -0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8883123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 41349 - 11114*j - 10305*j - 41349 as x + i*j and give i.\nAnswer: -21419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) 2\/3753 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.3. Let x(t) = t**2 - t. Let p be x(1). What is the closest to p in 4, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**2 - 16 + 22*f**2 - 52*f**2 + 16.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/60 - 7*i**3\/6 + 18*i**2. Let m be o(0). Let r(j) = 2*j + 8. Let a be r(m). Is -9 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.437 and -0.382?\nAnswer: -0.166934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66898, 134359, 201816, 269269?\nAnswer: 336718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r + 20 = 0. Let n be (-1 - (-1)\/2)\/r. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (1 - (-4 - -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 217. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 188301 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifoo when four letters picked without replacement from oiifooff?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 9*z + 118 = -50 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 6*y**3 + 3*y**3 - 3*y + (2 - 1 + 4)*(2*y**2 + 0*y**2 + y**2)*(2 - 2*y - 2).\nAnswer: -33*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6595 = -3*h + 7307. Suppose 0 = 2*s + 2*w - h, -s + 2*w = -2*w - 2337. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 924 (b) -3185 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 389739713 and 389739713 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -11.6. Let m be ((-26)\/(-91))\/((1\/(-3))\/((-4)\/(-8))). Which is the closest to 0? (a) m (b) h (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 839414822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -5, -8, 7, 52, 139?\n\"Answer: 2*n**3 - 9*n**2 + 4*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 21*k**2 + 306*k + 80. What are the prime factors of w(19)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/18 + 3 + 116\/(-36). Which is greater: l or -38?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -44*p + 42*p, 3*t - 29 = -4*p. Solve 3*d + 6*h - 2*h - t = 0, 0 = -2*h - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42 - 41)*(-1 + 0). Sort 4, t, 14 in decreasing order.\nAnswer: 14, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1379*q - 2770. What is v(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 + 587. What is the first derivative of -24*f - 6 - 166 + o*f + 69*f wrt f?\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58375 or -58370?\nAnswer: -58375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17317 + -17200. Let b be (36\/(-10))\/((-15)\/250). Suppose 2*x - 5*x + b = 0. Calculate the remainder when c is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/225 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -898b + 7?\nAnswer: -8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 - 3 + 3*u**2 + 0*u - 5*u + u**2. Determine w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose f = -0*r - 5*r + 25. Suppose -137*b = -111*b + 78. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2193565910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255998468.\nAnswer: 2, 11, 739, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**2 - 280*f - 9. Give q(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 4*s - 2. Let u be i(-2). Suppose -3*h = u*h + 5. Let n(a) = -15*a - 1. What is n(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 11*x + (0 + 3*x + 0)*(2 - 2 - 1))*(0*x - 3*x + 4*x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1481 - -1489. Solve 2*r = -2*v - 8, 3*r + y*v + 12 = 3*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 - (12 - (4 + 3 + -21)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k = 119*k + 96 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 - 1. Let m(w) = 3*w**3 + 3*w**2 + 4*w - 2. Let v(j) = 2*k(j) + m(j). What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-22))\/(((-1552)\/(-240))\/(-97)).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*x + 4500002 = 5*v, 7500002 = 5*v + 2*x. Suppose 9*k - v = -k. Round k to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-21))\/(78\/(-1560)). Which is the smallest value? (a) 0.09 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-319)\/(-33) - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 110229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 414090829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4300 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 -5*n + 528 = -2*z, 0*z - z + 308 = 3*n. Let u(c) = 0 + 1 + 12 + 0*c + 2*c**2 + 30*c. Let w be u(-15). Calculate the greatest common factor of w and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 1\/5*g**5 + 0 - 3\/5*g**2 - 2\/5*g + 1\/5*g**3 + 3\/5*g**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + 5*(sqrt(847) + sqrt(847) + 2 + 1 + sqrt(847))**2 + -5.\nAnswer: 990*sqrt(7) + 38156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d. Suppose 5*u - 3*z = 2*z + 65, 89 = 5*u + z. Let w = -12 + u. Solve -3*o - w + 14 = d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580.1 kilograms in milligrams?\nAnswer: 6580100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3131599 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1687 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/(-10))\/(14\/525*15). Sort 3, 0, -2, y in descending order.\nAnswer: y, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99442 + -62423. Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 91845.71t?\nAnswer: 91845710000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 136110*q**2\/7 + 2294569296*q\/7 + 722076838632\/7.\nAnswer: 2*(q - 34182)**2*(q + 309)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78831913.\nAnswer: 78831913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1333853 or -1333893?\nAnswer: -1333853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 0 + d**3 - 1 - d + 0*d. Let l(u) = 35*u**3 + 1 - 33*u**3 - 2 - 3*u. Determine l(x) - t(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:01 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0, 0.3, -23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 714154 and 4466?\nAnswer: 7855694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 - -349. Solve -5*m + 20*m = -g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234395628?\nAnswer: 2, 3, 19, 1028051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(88) + (sqrt(88) + (sqrt(88) + sqrt(88)*-2 - sqrt(88)) - sqrt(88))))\/(sqrt(32)\/sqrt(484)).\nAnswer: -55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87703 or 87704?\nAnswer: 87703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2280 and -6.5?\nAnswer: 14820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1717608430?\nAnswer: 2, 5, 17, 103, 233, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 26091 = -v + 26096, -5*o - v + 29 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - 2 - -7)\/((-4)\/2). Let j be -1 + (-2 + h)*-3 + 183. Suppose -5*s = -1124 + j. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Suppose -n*w = -5*q + 2*q + 28, 2*w + 5*q + 5 = 0. Are -3 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 458963555 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 357.9898 + -351.85. Round q to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/(3\/1) - -3. Let c(h) = -h + 4*h + 6 - 4. List the prime factors of c(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 2790812*r**2 + 364*r - 3*r**3 + 0*r**3 - 2790722*r**2 + 360 = 0 for r.\nAnswer: -9, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40 - 2)*6\/(-18). Calculate the greatest common divisor of 56 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 11*p**2 - 2*p**2 - 9*p**2. Let h(x) = -3*x - 4*x + 2*x + 5*x - 2*x. Determine q(h(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -0. Let o = -3 + 7. Let z be -24*(513\/(-36) - -14)*1 - (-21)\/(-3). Sort 6, o, z, d.\nAnswer: d, z, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588962 and 2090?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2624822*f**5 - 3103568*f wrt f?\nAnswer: -52496440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w*y**3 + 2*w*y**2 + 192*w*y - 9*y**3 wrt y?\nAnswer: 6*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.34912 to 1 dp.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(209) - ((sqrt(209) - -1*sqrt(209))*6 - sqrt(209)))*4)\/(4*sqrt(33)\/sqrt(3) - 2*sqrt(11)*-3).\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j - 88. What is q(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1418708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(637))*-6 - (1 + (sqrt(1573) - (3 + (-4 + sqrt(1573) - sqrt(1573)))**2)).\nAnswer: -36 + 115*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61136 (base 7) in base 15?\nAnswer: -45d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 26, 30, 24, 2, -42, -114?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54234*o**2 - 54205*o**2 - 54197*o**2 + 162573*o**2.\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -7*n + 28. Suppose -10*m = n*m - 42. Solve 0 = -2*u - p + 1, m*u - 10 = -5*p - 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 4, u: 1, j: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 4\/(16\/(-12)). Let m(s) be the third derivative of s**4\/6 - 5*s**3\/3 - 2*s**2. Let w be m(f). Solve c + w = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (sqrt(64) + (sqrt(64) + sqrt(64)*-3)*-6)\/sqrt(8)*-4).\nAnswer: -520*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/5)*d**(-2\/5))**(5\/6) assuming d is positive.\nAnswer: d**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 2*g + 23. What is the common denominator of l(0) and 13 - 16 - (-119)\/29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 7) + (-173 - -98).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1001101100011111000000 (base 2) to base 11\nAnswer: -1486519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 94946809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726 times 67.2?\nAnswer: -115987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let n(x) = -2*x - 11. Let g(v) = -6*v - 32. Let m(c) = -4*g(c) + 11*n(c). Let y(t) = -t - 4. Let o(w) = 4*m(w) + 7*y(w). Give o(z(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 3*s + 4*s + (-141*s + 56*s - 134*s)*(0 - 3 + 4).\nAnswer: -218*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 16*o**2 - 11 + (-4 + 2 + 1)*(-3*o**2 + 6*o**2 - o**2) to the form l*o + t + a*o**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1504 - 1503.5. Which is the nearest to 1\/3? (a) v (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39641*z**2 + 40189*z**2 - 79837*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.2 - -39. Which is the third smallest value? (a) 1\/3 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503282.69 rounded to the nearest 1000?\nAnswer: 1503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 + 1195\/6. Let y = 343 - s. What is the highest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37725225451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/4, -0.0426, -111, -3 in descending order.\nAnswer: 3, -0.0426, -1\/4, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)**(-46))**(-2\/5)*x*x\/x**0*x\/x**(-6)*(x**0)**(-6) assuming x is positive.\nAnswer: x**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 2 + 11*v**2 - 2.\nAnswer: 11*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 605042*y\/3 - 403364.\nAnswer: 2*(y - 2)*(y + 302523)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2451983*-2\nAnswer: 4903966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 205.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/60 - 251*c**4\/4 - 3868*c**3\/3 - 41*c**2 + 24. Find the first derivative of v(x) wrt x.\nAnswer: 2*x - 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 16 = -14. Let p = f + 36. Let l = p + -7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) + (-24)\/14. Is ((-3)\/h - 0)*22 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 139*m - 553. Solve 421*q + m = 422*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4458 is divided by 759?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/15 + 2*o**4\/15 + 12*o**3\/5 - 20*o**2\/3 + 94*o\/15 - 2 = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-56) - (130\/(-16) + 3). What is the second derivative of 29*n + 8*n**3 + 2*n + 0*n**5 - n**a - 8*n - 5*n**5 + 2 wrt n?\nAnswer: -120*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559418742*b**3 - 2*b + 23799566 wrt b.\nAnswer: -3356512452*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*236*53\/(-848)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44198*h = 44244*h + 1228 + 1486 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*d. Suppose 3*z - 45 = -5*a, -4*a + a = 5*z - 43. Let o be a*4\/16*2. Solve 0 = 5*x - 3*x + 2*l - d, -o*l = -3*x + 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - 69177 + 69166 + 8*o. Calculate s(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22))\/sqrt(2) - (1 + sqrt(1331) + sqrt(1331))**2.\nAnswer: -5325 - 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, o: 5, a: 3}. What is prob of sequence oaq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2982 and 242394.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1053\nAnswer: -315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15823*d**2. Let c(i) = 2*i**2. Give l(c(g)).\nAnswer: 63292*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:50 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 10, p: 1, v: 1}. Give prob of sequence yp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24414 divided by 82?\nAnswer: -12207\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305.8 + -306.11. Sort 3, h, 3\/2, -2\/7 in descending order.\nAnswer: 3, 3\/2, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 0) + (46 - -1833). What is the highest common factor of c and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 1, i: 3, k: 1, m: 1}. What is prob of sequence mii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -0.5663?\nAnswer: -13.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 608\/12 + 2\/(-3). Suppose 0 = -4*a + t - 2. Suppose -k + 0*k + a = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/26)\/(t\/(t\/(t\/(t**(-2\/33)\/t)*t*t))) assuming t is positive.\nAnswer: t**(-3385\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 1057, 2986, 6625, 12538, 21289?\nAnswer: 33442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 6*w**3 - 4*w**2.\nAnswer: -2*w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -1907\/1707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -7. Suppose c*x = 11*x - 54. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - -123. Calculate the remainder when p is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) - (-3082)\/253. Suppose -z*q + 11690 = -2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 54, 81, 108?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/14, -2, 94, 15, 0.4?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4144*g**4*s - 71*g - 5*s - 271368 wrt g?\nAnswer: -16576*g**3*s - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121676, -242934, -364192, -485450?\nAnswer: -606708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18)**(-19) assuming u is positive.\nAnswer: u**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10993, 11002, 11017, 11038?\n\"Answer: 3*g**2 + 10990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640 and 512?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2084*f = 398*f + 37230 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2 = -47. Let b(m) = -8*m + 1. Let r be b(-1). Calculate the highest common factor of j and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35496 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 prob of picking 2 w when two letters picked without replacement from {w: 3, j: 4, d: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -93*j**2 - 2987*j + 107. Give c(-31).\nAnswer: 3331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1211 and 1799.\nAnswer: 311227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from tdddjjjttdddctcdd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 26 = c + 6, -b - 2 = -c. Let s = b + 16. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 2. Suppose -b*t + 4827 = -3*t. Suppose 3*r - t = -4*u - 536, 5*r = 5*u - 1385. Calculate the highest common factor of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/(-117)*(-3)\/(-5))\/(-5)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12089*w**4 - 4*w**3 + 237*w**2 + 43207613*w.\nAnswer: 145068*w**2 - 24*w + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-19) - (-5282000040)\/(-380). Round s to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324)*1 + sqrt(44))\/(sqrt(8)\/(sqrt(2) + sqrt(2) + sqrt(2)*2)) - (2 + ((sqrt(11) + sqrt(44))**2 + 0)*4).\nAnswer: -398 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/21*(-4050)\/(-180)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 57*h**2 - 51*h + 373. Let m be j(-58). Let w be (-5)\/(-30) - (-2)\/132. Sort 2, 1\/2, m, w in decreasing order.\nAnswer: 2, 1\/2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1246*q*t*v + 3*q*t + 3*q*v - 22*t*v - 2*t + 193*v wrt q.\nAnswer: -1246*t*v + 3*t + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-12 - (-8 - 11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 less than -22747\/160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + h + h)*(65*h**2 - 2*h + 59*h**2 - 127*h**2) + (3*h + 2*h - 4*h)*(2 - 2 - h**2) - 9*h**3 + 0 + 0.\nAnswer: -h**3 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -55*u**2. Let x(w) = -424*w. Calculate x(t(s)).\nAnswer: 23320*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3934102.\nAnswer: 2, 19, 103529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:22 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 + 96. Let m = -88 + 129. Calculate the remainder when m is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 9*o - 13. Give x(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2923 + -0.267. Let s = 4.024 - 4. Let t = y - s. What is t rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*j = -3*j - 15, -24 = -2*y - j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.04332481, 2\/11 in increasing order.\nAnswer: -10, -0.04332481, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.18 times 0.3?\nAnswer: 2.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:14 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 25. Let f be r(14). Suppose f*o - 12 = 5*t, -3*o - 16 = -4*t - 28. Factor -20\/3*w**3 - o*w**2 - 16\/3 + 16*w.\nAnswer: -4*(w - 1)*(w + 2)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-6)*15\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*r - 4*l, 4*r = -0*l + 2*l - 86. What is the common denominator of 3\/r*-95 - 0 and 117\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24349939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = b + 3*b, 0 = 2*m + 4*b + 8. Let f(j) be the second derivative of 1\/18*j**3 - 2*j + 0 + 0*j**m + 1\/36*j**4. Solve f(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 6. Let p(y) = y - 1. Let m(j) = -j + 1. Let h(v) = -4*m(v) - 5*p(v). Let k(q) = 6*h(q) + l(q). Let x(f) = 7*f. Determine k(x(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/252*960\/45.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjhoxrh. Give prob of sequence jxo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 829 - 449. Suppose -5*x + 19725 = d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1010811 = -1010872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155c (base 13) to base 7\nAnswer: 12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5988, -5849, -5624, -5319, -4940?\n\"Answer: -p**3 + 49*p**2 - p - 6035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-1)\/2)*8\/10. Suppose 16*g - 9*g**2 + x*g**2 - 61*g + 12*g**2 = 0. What is g?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, p: 12}. Give prob of picking 1 s and 3 p.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1169*i - 2338*i + 1170*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-6)\/24*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 3:13 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/763876 and 103\/7284.\nAnswer: 1391018196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283336759.\nAnswer: 19, 14912461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39847.05 * 3\nAnswer: 119541.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by (1070\/6)\/(1020\/(-45) - -23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 - 9405480*t - 29869228 wrt t?\nAnswer: 3*t**2 - 9405480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/51 and 157\/4200?\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l - 9. Let v be 260\/(-36) - (-1)\/(-27)*-6. Let c(i) be the first derivative of -4 + 5\/2*i**2 - 5*i. Calculate v*c(z) + 4*w(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -18)*3\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1287292, 1287293, 1287294, 1287295?\n\"Answer: c + 1287291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356581 = -d - 2*k, 143*k - 148*k = 25. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j - 1\/6*j**3 - 3*j**2 + 0. Let p(i) = -i**2 - 4. Give -4*g(z) + p(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/133? (a) -1\/2 (b) 2 (c) 393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 9044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*y - 131 = -258*y - 1944 - 497 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39731*f = 39622*f + 2307 + 309 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8 and -19\/92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.04 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1871.917313 + -22?\nAnswer: -1893.917313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20673, -2\/7, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5+-0.00937383569\nAnswer: 4.99062616431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 19888?\nAnswer: 39776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 91918.83 nanograms?\nAnswer: 0.00000009191883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 12:31 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/33 and 40\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/3 - 2*p**5\/5 - 3*p**4 - 4*p**3\/3 + 5*p**2 + 6*p - 510. Determine f so that t(f) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354603584.\nAnswer: 2, 991, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 - 6*o + 23. Let h be s(11). Let f = 8 - h. Let q = -17 + f. Calculate the remainder when 132 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1098 and 7597794.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.198*-0.1\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from clmcjlmcmmcjm.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12656.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 3*i + 92 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 2*s - 1. Let l be h(1). Let j(f) = -f**3 - 13*f**2 - 22*f + 16. Let n be j(-11). Solve 2*g - 5*k - n = l, k + 4*k = -20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 771*u + 872*u - 1195*u + (-2 + 1 + 0)*(5*u - 4*u - 2*u) as h + k*u and give k.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1 + 0 - 5 - 34*s + 3. Let v be r(1). Let m = v + 35. Solve 4*l + m*l = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -5, -2, -0.2073, 2\/15, -32, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/1260 + m**5\/210 - 2*m**3\/3 - 4*m. Let y(f) be the second derivative of p(f). Factor y(q).\nAnswer: 2*q*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 139 = -16. Is (303 - -6)*((-148)\/(-3) - u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3059, -21860, -72867, -172178, -335891, -580104, -920915, -1374422?\nAnswer: -1956723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19305806, 38611640, 57917474, 77223308, 96529142?\n\"Answer: 19305834*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 214. Suppose -2*r + 360 = 4*w, -3*w + 65 = 5*r - q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 821*g - 597. What is the thousands digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.71. Let n = m + -0.01. Let r = -155 + 1237\/8. Put r, n, -2 in descending order.\nAnswer: r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 40*w + 709. What is t(-17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7604, -15017, -22430, -29843?\n\"Answer: -7413*k - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaiw when four letters picked without replacement from {w: 1, a: 1, i: 1, x: 3, m: 6, j: 3}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0*n**2 + 13*n**2 + n**2 + n - n + (0*n + 3*n - 2*n)*(-2*n - 3 + 3) + n**2 - 2*n**2 + 0*n**2 - 1 + 1 - n**2 + 0*n**2 - n**2 + 2*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v**5 + 1\/10*v**6 - 2\/3*v**3 + 2*v + 1\/12*v**4 - v**2 + 0. Find the second derivative of x(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213696239 at most 213696240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/((-192)\/(-176)) + 5*-1 - 6. Let j(f) be the third derivative of 0*f**3 + 1\/15*f**5 - 27*f**2 - 1\/8*f**4 + 0 + m*f. Determine j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q + 83. Let y be v(-12). Let r = 20 + y. Let i(s) = -2*s**2 - 6*s + 3. What is i(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 44 = c - 4*c, -5*n - 8 = -c. Let d(i) = c*i**2 + 18*i**2 - 9*i**3 - 36*i**2. Let r(m) = 28*m**3 - 1. Calculate -7*d(b) - 2*r(b).\nAnswer: 7*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.73 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -10416479.\nAnswer: 572906345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3) + 1)*(17 - 35)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10569 - -10569.5. What is the biggest value in -227, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7994900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + (7 - (0 + 9 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290710*w**3 - 10*w**2 + 58*w - 30 wrt w.\nAnswer: 1744260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(72) + (sqrt(72) - (-1 + sqrt(72) + -3)) + 0 + sqrt(72)*2)*1)**2.\nAnswer: 6048*sqrt(2) + 24112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4960420210.\nAnswer: 2, 5, 496042021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(117) + sqrt(117) - sqrt(117)) + -5 + sqrt(117))**2 - (0 + sqrt(117))**2*6)*3.\nAnswer: -180*sqrt(13) - 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943942217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*w + 713 + 444, -5*w = 2*v - 1905. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23127752 is divided by 4559.\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -43\/5. Let s(i) = -i**3 - 7*i**2 + 6*i + 84. Let v be s(-5). Which is the closest to -1\/2? (a) -0.5 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 12*m = -5. Let l(u) be the third derivative of 7*u**6\/40 + u**5\/30 - 5*u**4\/24 + u**3\/2 + 10*u**2. Is l(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**2 + 0*d**3 + 0*d + 0 - 1\/160*d**6 + 1\/80*d**5 + 0*d**4. Find h, given that s(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 58\/11, 4, 2\/7, 6, -4, 800, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*h - 71, -4*h - 2*o + 74 = -0*o. Solve 3*g = 3*v + 5*g + 8, 2*v - 5*g = -h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 - 1)) + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 282?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -4*q. Let m(u) = -5*u + 6. Let w(f) = 6*f - 7. Let v(l) = 5*m(l) + 4*w(l). Calculate the remainder when 20 is divided by v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 + -12)\/(2\/(-156)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {n: 2, s: 1, p: 5, u: 4, i: 4, m: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*(v**(-1\/2)\/v)\/v)**(9\/2))**30 assuming v is positive.\nAnswer: v**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1641b + 0?\nAnswer: 1641b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 - 8*r**2 - 5*r. Let b(x) = 13*x**3 - 12*x**2 - 8*x. Let c(f) = 5*b(f) - 8*p(f). What is the third derivative of c(w) wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869105 is divided by 77?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 288304 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -741436 < -741436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 13*o + 8. What is g(-7)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 12*r - 16. Let u be z(-12). Let s = u - -29. Solve -2*b - 13 = -4*x + s, 3*x - 12 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33441 * 153.\nAnswer: -5116473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 10*a - a + 4*h, 2*a = 5*h + 39 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqrvqvrr. Give prob of picking 1 v and 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56044404 - 2?\nAnswer: -56044406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - (-11)\/(-4). Let q = w - -4. Which is bigger: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**5\/60 + y**4\/8 - y**3\/6 + y**2 + 4. Let r(z) be the second derivative of q(z). What is r(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1821 - 1876) + 40 + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 - 626*r - 624 = 0. What is r?\nAnswer: -312, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2666 + 2.7334. Let h = -2 + 7\/4. What is the nearest to h in -2, 4, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 9, a: 5}. Give prob of sequence laa.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 + 9*w**2 - 10*w - 1. Let i(s) = 2*s**3 - 7*s**2 + 7*s + 1. Let g(u) = 7*i(u) + 5*k(u). Suppose z = 3*z + 4. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0 - (2 - (-12)\/3). Let w(b) = -2*b**2 - 5*b - 5. Let m(d) = d**2 + 2*d + 2. Let c(n) = a*m(n) - 2*w(n). Let z(g) = 15*g**2. Calculate z(c(x)).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 16\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**5\/5 + 117*g**4 + 6084*g**3 + 405. Factor d(x).\nAnswer: 3*x**2*(x + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3\/7 + 18*b**2\/7 + 48*b\/7 + 40\/7 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 6*k. Let y be j(9). Suppose -x + 147 = 6*x. Let h = y - x. Let l(d) = -d**2 + 7*d - 5. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74126 (base 12) to base 7.\nAnswer: -1202562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g*g*g**(2\/23)*g*g*g))\/g)\/(g*g**(-1)))\/(g**(2\/3))**44 assuming g is positive.\nAnswer: g**(-2306\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -21 - 89. Let n = -33 + l. Let h = 65\/3 - n. What is the closest to 1 in -4, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**3 - 10*z**2 + 39*z + 5. Let x(t) = -14*t**3 - 14*t**2 + 58*t + 7. What is -7*n(w) + 5*x(w)?\nAnswer: -7*w**3 + 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 118 (b) 3\/4 (c) -43\/5 (d) 0.5 (e) -0.004\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from acaacaccacccacaaca.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (-15 - (-717)\/42).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4 + 178*h**3 + 366*h**2 - 178*h - 364 = 0.\nAnswer: -2, -1, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 127*v**2 - 3*v**3 + 151*v**2 + 6*v**3 as a*v**2 + r + g*v + z*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**3 - 91*s**2 - 2093*s + 31614. What is f(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4690000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 + 5*r - 7. Let c be j(-6). Let y be (-1)\/(2\/(-6)) - c. List the prime factors of -4 + 5 + 0 + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 172 + 278 = 0. Let t = k - 20. Is 61 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -423*l**2 + 3*l + 1. Let g be a(-2). Let h = g - -27. Round h to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1994 - 4?\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1472)\/(-244) - (-68 - -59)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 1\/72, -119164 in ascending order.\nAnswer: -119164, 0, 1\/72, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -4*y**7\/105 - 2*y**5\/5 - 7*y**2. What is the third derivative of f(g) wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 + 34*g**3 + 37*g**3 + 8*g**3.\nAnswer: 86*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 72\/(-16) - 1\/(-2). Let q(k) be the third derivative of -3\/32*k**4 - 1\/80*k**v - 1\/4*k**3 - k**2 + 0 + 0*k. Factor q(b).\nAnswer: -3*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40505866?\nAnswer: 2, 17, 29, 41081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13206, 26410, 39614, 52818, 66022?\nAnswer: 79226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 2:37 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h - 979 = -66. Let j(d) = 87*d**2 - 2*d - 1. Let s be j(-1). What is the greatest common factor of s and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 186, 260, 314, 342?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*s + 5, v - 3*v - 2*s + 16 = 0. Suppose 2 - 5 = -v*o. Let c be o + (3 + 0 - 3). Let a(h) = 4*h - 1. Determine a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 168?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 320759012\/13 and 24673769 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20490 - 20463. Let h = 44 - 18. Is w greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let f(b) be the third derivative of -31*b**4\/24 - b**3\/6 - 60*b**2. Determine f(i(q)).\nAnswer: -62*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*z + u - 0*u, -4*z + 5*u + 137 = 0. Suppose 0 = -4*d + 880 + z. Let n = d + -111. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**6\/15 - 13*n**2 + 20*n. Find the first derivative of z(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61005 and 761460.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 6. Let z = 7 + k. What is the nearest to -0.2 in -3\/5, -4, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/6?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2*-1)\/((sqrt(36)*2)\/sqrt(9))*-5.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.028?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 60?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -1 (c) 1\/21524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -37 + -1 + (124 - 136)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -8*f + 25, -3*i + 3142 = -5*f. What are the prime factors of i?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -19. What is the remainder when (370\/v)\/(-1) + 2\/(-6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*g - 1539 = -69*g + 66*g. Let f(d) = -7*d - 7. Give f(g).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6098011, -12196005, -18293999, -24391993, -30489987, -36587981?\n\"Answer: -6097994*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 58*a + 63*a = -0*f - 19, 82*f = -0*a + 2*a + 90 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/135 - 43\/(-9). Suppose p*h - 1775 = 5*w, -160 = -h + 5*w + 187. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 2*k)*(144 + 130 - 44) - 5*k + 9*k - 6*k.\nAnswer: -692*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3b624 (base 12) to base 4\nAnswer: -110002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 50*x**2 - 71*x + 638. Is n(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*((4*(sqrt(1331) + 0 + sqrt(1331)) - sqrt(1331))**2 - sqrt(1331)).\nAnswer: -326095 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 35 + 37 + 2 - 2*o - 8*o**3 + 179*o**2 as j + k*o**3 + i*o**2 + p*o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.9 - 72. Is 9.7 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 - 17 = 0. Let c be 2\/7 + (-2)\/7. Let f(x) = -6*x**2 + c*x + 1 + 0*x + k*x**2. What is f(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -426.58 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 3:15 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1)*n)**15*(n*n**1)**(12\/13)*((n**(2\/5)*n)\/n)\/(n*n**(1\/14))*(n*n**(-3\/5)\/n*n)\/(n\/(n**4*n*n)) assuming n is positive.\nAnswer: n**(46933\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 58*x + 6594. Is h(-77) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 129577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 49, 117, 213, 337, 489?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from kjaxajkarrjaakx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 147440757 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 2*l - 10*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21653.\nAnswer: 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**3 - 972\/5 - 968\/5*z**2 - 1942\/5*z.\nAnswer: 2*(z - 486)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 536.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2025*u - 582*u + 401*u.\nAnswer: -2206*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 3. Let y be n(-6). Let h be ((-9)\/6 + 3)*2. Let h*a**2 + y*a**2 - 3*a**2 - 2 - 1 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406400837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -18) + 23 - -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17999 or -341959\/19?\nAnswer: -341959\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 13 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1 + (-5)\/1. Let b = f - -9. Let o = -2\/129 - -137\/516. Is o equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*a**2 - 370*a**2 - 360*a**2.\nAnswer: -910*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.34667 rounded to zero dps?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -454?\nAnswer: -185\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:09 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + 8. Let o = 21 - 22. Sort s, 1, o in ascending order.\nAnswer: o, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-3072)\/3600*3\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04021, -5\/2, 2, 53, 1 in ascending order.\nAnswer: -5\/2, -0.04021, 1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + j**4 - 4*j**4)*(-89957*j - 339 - 934 + 89956*j).\nAnswer: 4*j**5 + 5092*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1553857*v**3 - 1126014 with respect to v.\nAnswer: 4661571*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 624 - 491. Let s = c + -132. What is the closest to 1\/4 in 0.08, -2\/7, 0.5, s?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 169.261. Let x = i - -0.561. Is -58 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 0.07, 8, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145829832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8699\/18 - 483. What is the common denominator of m and 29\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1943, 3895, 5849, 7805, 9763, 11723?\n\"Answer: i**2 + 1949*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*r - 4 - 2 = 0, -2*r = -2*l + 8. Let x = -20 + 27. Suppose x = 2*j - 4*i - 39, -42 = -l*j + 3*i. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237334 is divided by 899.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954 a factor of 147894964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13816 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + 0 + 13)) + 16 + -20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3 + 3)*0. Let j be (-2 - d)\/(4\/(-40)). Suppose 2*o - 12 = 2*n, -2*o + j = o - 4*n. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - m + 17 = 0, -2*m + 104 - 85 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -2\/7, 0, -0.1, 3\/7.\nAnswer: -2\/7, -0.1, 0, 3\/7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35936 or 396?\nAnswer: -35936","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) 4 (c) -2\/15 (d) -0.5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + (sqrt(1300)*2 - sqrt(1300)))**2) + 4.\nAnswer: -5196 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 909848 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28187487, 28187481, 28187471, 28187457, 28187439, 28187417, 28187391?\nAnswer: 28187361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 328079981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 35 = s, -4*s + 44 = 5*c - c. Suppose 0 = 2*n + 2*u, 2*u + 10 = 4. What is the remainder when c is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 499692*c**4*h**2 + 765448*c**2*h**2 wrt c?\nAnswer: 11992608*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.93 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25194, -50384, -75574?\n\"Answer: -25190*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9572*y + 959. What is the ten thousands digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/58 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/33)\/(788\/394).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28851, 29060, 29407, 29892, 30515?\nAnswer: 31276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*w - 13*w - 14*w)*(-21 + 21 - 9*w)*(-20 + 7 - 19) in the form o*w**2 + m*w + f and give o.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p + 2*p + (-3*p + 7*p - 3*p)*(2 + 0 - 3) + (45 - 45 + 10*p)*(-353 + 59 - 39) to n*p + l and give n.\nAnswer: -3329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 121. Calculate the highest common factor of 248 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y. Suppose 8*b + 2 = -4*f + 6*b, 5*f = 4*b + 30. Let c(i) be the second derivative of 0 + 0*i**f + 0*i**3 + 47*i + 1\/4*i**4. Determine m(c(u)).\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k**14)\/(k**8*k\/k**(-9)) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -2 - 9\/3. Let i = 6 + t. Which is the closest to 0.1? (a) -3 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.78, -1, 4\/7, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100017?\nAnswer: 3, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 24. Let j be m(-7). Suppose j*t + 46 - 146 = 0. Calculate the greatest common factor of 310 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-7*(-45)\/567)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuhlggxx. Give prob of sequence xxwu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 165*i + 80. Determine y(-9).\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18247*z - 18247*z - 118*z**2 + (-z + 0*z - 3*z)*(-3*z + z + 0*z).\nAnswer: -110*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -5 - sqrt(60)\/sqrt(5))**2.\nAnswer: -30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 8) in base 3?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/114964 and -17\/861.\nAnswer: 2414244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 29*q + 0 + 13\/18*q**4 + 3*q**3 - 1\/90*q**5 + 4*q**2. Find l such that p(l) = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = -5*w - 25*h - 4*h, 5*h = -4*w + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/3)\/((-14)\/1155). Let w = 3357 + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - i + 5*i + 1112, -4*f = i - 1451. Let v(w) = -364 + f + 2*w. Let r(p) be the second derivative of p**3\/2 - 3*p. Determine v(r(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 17*w**2 - 2*w - 48. Let o be v(8). Suppose 0 = 5*k + 5*z - 40 - o, 0 = -4*k - 2*z + 28. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -19. Solve 0 = x - r*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.1742, 16?\nAnswer: 0.1742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -124*k - 1. Let f(n) = 247*n + 1. Give -4*f(b) - 7*i(b).\nAnswer: -120*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1313, -5158, -11555, -20504, -32005, -46058?\n\"Answer: -1276*z**2 - 17*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118436501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p - 8. Let v(r) = -3*r - 5. Give -5*a(d) + 8*v(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 4:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*1)\/(sqrt(21)\/(sqrt(6)\/sqrt(2))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d + 195. Calculate j(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 43\/(258\/(-60)) + 65800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k + 475 = 27*k + 1509. Solve -37*w = -48*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:12 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431 (base 15) in base 16?\nAnswer: 1e10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -316, -268, -220, -172?\n\"Answer: 48*h - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173196 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3559*a + 21698*a = -711713 - 1258333 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 24*k - 36. Let x(v) = -3*v**2 + 21*v + 28. Let s(f) = 4*n(f) + 5*x(f). Calculate s(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 11. Let h be x(8). Let j be h\/2 - 46\/(-4). Let r be ((-2)\/3)\/(-2*5\/600). Calculate the highest common divisor of r and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -1 - (-2 - 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 84 = -33*v. Suppose 0 = -4*h, v*d = 2*d - 4*h. Determine j so that d - 4\/5*j + 1\/5*j**3 + 0*j**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - -220?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -1 + 180\/(-27). Let y be ((-1)\/(-3))\/((-1)\/(-3)). Let i = -0.1 - 0.1. Which is the nearest to 0.5? (a) i (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 15 = 0, -47*y - 5*f + 11 = -51*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -56*z. Let i(h) = -67*h + 3. Give i(q(v)).\nAnswer: 3752*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**2 + 3*j**2 + 2*j**2)*(2*j - 4*j - 4 + j).\nAnswer: 3*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*n - 323*i**3 - 18*i**2 - 988*i*n + n wrt n?\nAnswer: 2*i**3 - 988*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 311 = 4*h, 3*r + 3*h = -2*r - 528. Let k be 148\/126 - (-30)\/r. Let b = 23\/36 - k. What is the third biggest value in b, 0.1, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -180.7. Let p = -0.7 + d. Which is the third smallest value? (a) 1 (b) p (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-15\/4)\/u)\/u)\/(u*u*u**(-3\/14)*u)*((u\/u**(2\/25))\/u)\/(u\/u**8) assuming u is positive.\nAnswer: u**(-431\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 15*v**2 + 8*v + 112. Give s(8).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -22 - -45 - (12 - (8 + -4))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.75360951 to 3 decimal places.\nAnswer: -4.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11438, 11441, 11444, 11447, 11450, 11453?\nAnswer: 11456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 + p**2\/2 + 7*p + 14. Give v(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229307996 divided by 229307996.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccviiicikcvviccikv. Give prob of picking 2 v and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 1 + 4. Let u be -3 - 2\/(-2) - x. Let g(w) be the second derivative of w**3\/3 - w**2\/2 - 22*w. Calculate g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.172 <= -1798503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**4 - i**4 - 4*i**3 - 6 + 3*i**4 - 7*i**4 - i**2 to v*i + k*i**2 + r*i**3 + q*i**4 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 - (-6)\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((7\/14)\/((-4)\/7600*-20))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/8253261 and -17\/150557?\nAnswer: 90785871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4. Let x(q) = 7*q - 7. Does 7 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 16*12\/32*4\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143719, 574904, 1293559, 2299690, 3593303, 5174404, 7042999, 9199094?\nAnswer: 11642695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 9137190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 156.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:45 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(15\/2)*-3. Let z = 0 + -8. Let o = -6 - z. Is x equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f**2 + 566 - 25*f**2 - 91 - 28*f**2 + 84*f**2 to the form v*f + c*f**2 + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 12 = -2*o - 57*y, -440*o + 2 = -439*o + 2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3098.\nAnswer: 18588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 785343 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = z - 19, -5*z + 70 - 51 = 6*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2757, 3653, 4549, 5445, 6341?\nAnswer: 7237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -326, -315, -304, -293, -282?\n\"Answer: 11*r - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (33\/77*-21 - (-1 + 2 + 9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*j**2*r + 27*h*j**2 - 3*h*j*r - 523*h*r - j**2 + 103*j with respect to r.\nAnswer: 3*h*j**2 - 3*h*j - 523*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 298, 297, 286, 259, 210, 133, 22?\n\"Answer: -y**3 + y**2 + 3*y + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j*p**4 + 72*j*p**2 + 3*j + 69*p**3 - 9*p wrt p?\nAnswer: -552*j*p + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 955520 and -5.\nAnswer: -4777600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 769.993 centuries?\nAnswer: 76999.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 75*n**2 + 997*n - 644. Determine g(58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -22)\/(4 + -13) + (-605)\/(-585)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-11 - (-9 + (10 - 40)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -536*l + 10178. Let h be x(37). Round h to the nearest one hundred.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 53*l = 4*d - 17, 2*l - 4*d = -14. What is the closest to l in -0.2, -17\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from drudrdruuwy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*d**2 + 532*d**2 + 496*d**2 + 572*d**2 + 420*d**2 as m*d + j*d**2 + z and give j.\nAnswer: 2284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r. Let o(h) be the third derivative of -3*h**4\/8 + h**3\/2 + 245*h**2. Calculate o(f(s)).\nAnswer: 54*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73744 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/564)\/(7\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.403 in 0.5, 2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1100003972 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.88 (c) -236 (d) -2\/13 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:01 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 1. Let i(s) = 7*s - 2. Suppose -2*a + 2 = -a. Let l(m) = a*i(m) + 3*h(m). Suppose 228*b - 4*b + 672 = 0. Determine l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720) - -2*sqrt(720)))**2 + ((4 + sqrt(5))**2 + 2)*-6 + -4.\nAnswer: -48*sqrt(5) + 25778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/3 - 793. Let r(o) be the second derivative of 3*o**3\/2 - 4*o**2 + o. Give r(v(c)).\nAnswer: -18*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(17\/((-4862)\/(-65)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12224*g - 5937*g - 7847*g + (0 - 2 + 1)*(g - g - g).\nAnswer: -1559*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 - 18*o**2 + 399*o - 1568 = 0. Calculate o.\nAnswer: -32, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8. Let t(x) = 4*x**3 + 5*x - 7. Let o = 3 + -12. Let z(y) = -2*y - 3*y + y + 2*y - 2*y**3 + 3. Calculate o*z(f) + v*t(f).\nAnswer: 2*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 2. Let x be z(-4). Suppose 0 = -41*a - 294*a + 839 - 169. Solve 3*d + d - 13 = 3*b, a*d = 2*b + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from {q: 3, m: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 11. Let i(y) = -y**3 + 7*y**2 - 7*y + 8. Let s be i(6). Let h(a) = -a + 2. What is s*r(d) - 11*h(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -19. Which is smaller: 12\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 1, q: 6, g: 6, i: 1}. What is prob of sequence qmqg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56940 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2 + 2*j + 153. Let v be b(0). Suppose -5*n + v = 2*f - 82, 2*n + 2*f = 88. Let x = n + -27. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(130)*3*-1)\/sqrt(10).\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 1) + (-18 - -4) + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1523 - -449. Let h = g - -1074.0000003022. Round h to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 296 + 6a?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 = 3*h, 5*h + 70 = -2*i - 10. Let q(c) = c**3 + 15*c**2 - 8*c + 32. Is 9 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z**2)*(-11*z - 2 - 33*z - 8*z).\nAnswer: 104*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-232)\/(-48) + (-4)\/(-24). Sort q, -68, -2 in decreasing order.\nAnswer: q, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + 10\/(-36)*3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8236 and 5800?\nAnswer: 411800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(15)\/sqrt(3)*-6) - (0 + 3 + sqrt(125) + 0 + sqrt(125))) + 5.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3784197267 to 5 dps.\nAnswer: -0.37842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 2*u**3 - 4*u**3 + (0*u + 6*u - 4*u)*(-u + u - u**2) - 2*u**3 + 3*u**3 - 8*u**3)*(5*u - 4*u + 11*u).\nAnswer: -132*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.994857 decades in centuries?\nAnswer: 0.4994857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + k - 3*k)*(11*k + 3*k - 10 - 21*k).\nAnswer: -28*k**2 - 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 10 - 0. Suppose 8 + 0 = x + 3*u, -5*u - 60 = -k*x. What is the remainder when 18 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 177552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c - 157 - 67 = 0. Determine k so that 15\/4*k**3 + 3\/2 + 27\/4*k**2 + 21\/4*k + 3\/4*k**c = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snnl when four letters picked without replacement from {s: 4, r: 11, l: 1, n: 3}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2039 + 5553. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90\/9 + 3336 - (-1 - -4).\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 2\/15*x**5 + 0*x - 8\/9*x**3 - 9 + 8\/3*x**2 - 1\/3*x**4. Determine y, given that k(y) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 13*x - 165, -4*g = 2*x - 230 + 10. Calculate the highest common divisor of 55 and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20280 + 20275. Let z = 1 - 1. Suppose n + 5 = 4*x, z = 2*n - x - 4. What is the smallest value in 2\/11, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 23. Let w(g) = 3*g**2 - 14*g - 7. Let k be w(b). Suppose -q + k - 70 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072341.\nAnswer: 751, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let s be z(-2). Let b(i) = -8*i + 5. Let r(h) = -4*h + 2. Let x(k) = -2*b(k) + 5*r(k). What is the units digit of x(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -3*u + 4*n, -20*u + 19*u - 3*n + 163 = 0. Let y = -151 + u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5889 and -7.\nAnswer: 4.1223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 + 0 = 0. Let d = n - 24. Does 35 divide (118\/(-8))\/(3\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*k - 110, -2*d + 259 = -4*k + 149. Solve -d = -21*w - 223 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l**3 + 4*l**2 + 12*l - 5. Is 21 a factor of u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**4 + 37*d**3 - 8*d**2 + 3*d - 5. Let o(a) = 2*a**4 + a**3 + a**2 + a - 1. Let f(g) = 10*o(g) - 2*x(g). Factor f(i).\nAnswer: 2*i*(i - 1)**2*(17*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -62, -67, -56, -23, 38, 133?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 1, q: 4}. Give prob of sequence qn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2431413 + -130034?\nAnswer: -3112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 14*z**2 + z + 7. Give f(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.4 (b) -3\/2 (c) -1729\/53 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 91 - 26691\/651\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(-17\/5))**(1\/52)*(a**(-4)*((a*a\/a**(-3\/10))\/a*a)\/a)**(7\/6) assuming a is positive.\nAnswer: a**(-192\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:41 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-8 + 6 - (-1 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*c = -44194, -3*o = -2*c - 6456 - 15640. Solve 0 = -8*p + 7300 - o for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 14*s**2 - 6*s + 1. Let l be g(16). Suppose p - 254 = l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 2*m)*(-5*m**4 - 5*m**4 + 5*m**4) + (4*m**2 + m**2 - 3*m**2)*(-2*m**3 + m**2 - m**2) + 2*m**4 + 2*m**5 - 2*m**4.\nAnswer: -22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 + 58 - 58.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 4*m**2 - 4*m + 12. Is w(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2595 and 16.8.\nAnswer: -2578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x + 8. Suppose 18*f - 35 = 23*f. Let v be 49\/f*(-2 + 1). Let h be s(v). What is the third biggest value in 5, 3, 2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9156764 or 9156730?\nAnswer: 9156764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 22*r**2 + 47*r + 1. Let c be t(-3). Suppose -u - 24 = -3*u. Solve u*k - c = 14*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -43.5 and -0.10259112.\nAnswer: -43.60259112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 47*o - 3*o**2 + o**2 to j*o + k*o**2 + v and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -111. Suppose -9*f - 3*f = -g. Solve -13 = f*w + j, -3*w - 2*j = 6 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**8\/336 + 29*k**6\/60 + 1333*k**5\/60 + 4*k**2 - 62. Find the third derivative of s(q) wrt q.\nAnswer: -60*q**2 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 16*r - 37 - 16 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 + -215 + (-53 - -137)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 5*u + 74. What is v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168573077.\nAnswer: 168573077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 - -119.2. Is 27 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(72)*-1)**2 + ((-1 + sqrt(72) - sqrt(72)) + 0)**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2580*j**3 - 2583*j**3 - 209*j - 45*j in the form p*j + o*j**2 + w + k*j**3 and give p.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:36 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 26. Let v = d + -71\/5. Let g = -1360 - -1357. What is the third smallest value in v, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10690328*-1\nAnswer: 10690328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - (-125)\/10. Solve 0 = -4*j - q + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*c = -22, c - 29 = -49841*w + 49828*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -12. Let n = 6 + i. Let j = n + -3. Which is the closest to -0.1? (a) 1\/4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b)\/b*b**(-5)*b)\/(b**(1\/11)*b*b**(-15\/4)) assuming b is positive.\nAnswer: b**(73\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192165030, 192165032, 192165034, 192165036, 192165038?\nAnswer: 192165040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9a (base 14) in base 12?\nAnswer: -2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 3592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -333*q - 22. Calculate the remainder when l(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1224680 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**4*b + 1558*a*b**2 + 19964*b**2 wrt a.\nAnswer: 12*a**3*b + 1558*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 354 + 18. Calculate the remainder when 143 is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:29 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7862, 31453, 70774, 125825, 196606?\nAnswer: 283117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 28. What is the remainder when o is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1080 * -12.\nAnswer: 12960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3591 and 30919?\nAnswer: 15861447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3619961 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(50)\/sqrt(40) + 0 + (sqrt(405) - (4*(-1 + sqrt(405)) + sqrt(405)))**2 + 2*sqrt(405)*-2)*3.\nAnswer: -1941*sqrt(5)\/2 + 19491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043 (base 11) to base 2.\nAnswer: 10101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -663 and 40?\nAnswer: -26520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/29? (a) 4 (b) 1\/8 (c) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-38)\/g**(10\/7) assuming g is positive.\nAnswer: g**(-276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50432062 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157.1 - 431.9.\nAnswer: -274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1562 + -1576. What is the nearest to -1 in -1\/4, 3\/22, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from vkkkvvkvkbvkkb?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i + 1. Let x(q) = -4*q**2 - q - 4. Let s(k) = -3*f(k) - x(k). Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-10)\/8 + 12\/48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.54482881 to one decimal place.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -61*l - 639 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 6*o - 42. Suppose -6*g = 29 + 139. Let p = g - o. Is p smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91562*g**4 + 3*g**3 - 7*g**2 - 352148394*g wrt g.\nAnswer: -1098744*g**2 + 18*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855439409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4\/5 + 24*u**3\/5 + 3*u**2\/5 - 204*u\/5 + 252\/5 = 0.\nAnswer: -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66) - sqrt(66)*1) + sqrt(66))\/(sqrt(54)\/sqrt(144))*-1 + -1 + 2.\nAnswer: -4*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.7 - 0. Let o = s + -0.7. Let c = -1\/55 - 103\/385. What is the second biggest value in c, o, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/2 - 2. Suppose 12*c - 34 = 2. Suppose -c*u + 3*y + 9 = 0, 4*y + 3 + 0 = u. What is the smallest value in p, 0.4, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109817 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 + (6 - 4\/2). Solve 3*j**2 + 2*j**2 + 10 - 10 + 5*j**v = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**3 - 9*h**2 - 7*h + 113. Let n(r) = 3*r**3 - 3*r**2 - 2*r + 38. What is -7*n(l) + 2*y(l)?\nAnswer: l**3 + 3*l**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 8*u**2 + 0*u + 0*u**4 - 1\/12*u**5 + 0*u**3 + 0. Let m(r) = 2*r. Calculate b(m(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105306896 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001777806 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 25*d - 2. Let n(j) = 3*j**2 + 49*j + 5. Let o(b) = -2*n(b) - 5*z(b). Find the second derivative of o(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 45368 = 59*g. Calculate the highest common factor of 64 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389592 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-16)\/3)*24\/108.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122111212 (base 3) to base 5.\nAnswer: 4244231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3635440 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1014*x**6 + 18*x**3 - x**2 + 168*x - 36.\nAnswer: -121680*x**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*j + 28 = 0, 2*j - 16 = -4*c + 6*j. Let b be (-2)\/c - (-259)\/28. Let t be ((-10)\/(-6))\/(b\/27). Solve 0 = t*q - 2*d - 23, q + q = -2*d - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 469409 and 642?\nAnswer: 2816454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f\/(f*f**0))))))**21*(f**(-1))**(-46)*((((f**11*f)\/f)\/f)\/f**(-8))**(-1\/10) assuming f is positive.\nAnswer: f**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*h = 0, 0*y = 3*y - 2*h + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17766260 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.110392 * 136\nAnswer: 15.013312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Let m = -2 + l. Suppose -31*z + 72 = -362. What is the smallest common multiple of z and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.3 (b) -2\/23 (c) 5 (d) -60 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/(-20)*(0 - 65). Let k = i + 303. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 + -415. What is the common denominator of -69\/8 and (-65)\/(-39)*r\/(-177)?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*p + 21. Let a = 20 + p. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022121 + -10?\nAnswer: 2022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2811951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42165, 168749, 379715, 675057, 1054769, 1518845, 2067279, 2700065?\nAnswer: 3417197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34502082 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*l + 2*f + 21, 0 = 4*l + 2*f - 16. Solve -l*x + 14 = r, 8*r - 3*r - 4*x + 25 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 - 41*f - 11. Let y be c(7). Let g = y - 153. What is the remainder when g is divided by (3 - 14\/4)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8466*z - 88 = -8606*z + 1032 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 - 2)*(3 + -3). Suppose y = 3*f + 2*f - 10. Calculate the remainder when (f + (-152)\/(-6))\/((-10)\/(-15)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -154, -147?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24687372*-0.1.\nAnswer: -2468737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + ((sqrt(7)*-1 + sqrt(7))*-4)**2)*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435859 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 4:10 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8 = 2*z, -5*r = -0*z - 5*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r - 1. Let m(l) = -7*l**3 - 3*l - 6. Give 6*b(d) - m(d).\nAnswer: 13*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.6, -5.\nAnswer: -5, -0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*b + 177*b + 108 = 0. Solve 4*y + 3*n - 5 = 0, b*n = -2*n - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 + 64*r + 120 = 0. Calculate r.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -55. Suppose w*a - 59 = 237. What is the remainder when a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41683504 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2242*w + 12. Let r(n) = -4486*n - 23. Let k(v) = 3*r(v) + 5*t(v). Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.9326374 weeks?\nAnswer: 156.6830832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 + -0.15. Put v, -1\/5, -5 in increasing order.\nAnswer: -5, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (-3 - 2 + 4)*(3 - 4 + 2) + 0 + 0 - 2)*(735 - 735 + 3*c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52550148 to the nearest integer?\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2. Let z(h) = -20*h**2. Calculate a(z(b)).\nAnswer: -2000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(-q + 2 - 2) + q + 0*q + 0*q + 336*q - 9*q - 45*q + 0 + 0*q - q + 1 as k + x*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 487, 1098, 1953?\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*n**2 - 17*n**2 - 13*n**2 - 564 - n - 11*n**2 - 14*n**2.\nAnswer: -n**2 - n - 564","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, l: 1, t: 4, d: 2, v: 2, i: 3}. What is prob of picking 2 d and 2 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/136)\/((-2)\/(-56)) - (-11488)\/(-1632)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3495 - 3502. Is x < 40\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 33 - 1 - 21 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-12) - (-5)\/(-20))*0. Suppose 7 = 3*l - 2*l - 5*t, -5*l + 5*t + 15 = o. Let b(k) = 7*k - 7*k + l*k. Let c(q) = 5*q**2. Give c(b(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(27)\/(1*sqrt(81)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 68902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -40. Suppose g + 13 = 3*g + y*k, 1 = -g - 4*k. Solve -4*b + g = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/35*(65 + 0). Suppose -21 = -16*i + k*i. Let g(q) = -5329 + 5331 - q**2 + 11*q - 4*q. Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*35\/(630\/141732)?\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1163169804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -26, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 2.5. Let k(r) = -2*r**3 - 7*r**2 - 5*r - 1. Let m be k(-4). Let n be 10\/m + (-50)\/126. Which is the smallest value? (a) -0.5 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 6835 + 26*g**2 - 39*g**2 - 6835 + 28*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.94 - 20.996. Let w = k + 0.056. What is the nearest to 0 in 4, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15549379 is divided by 463.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10486361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55452813827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t + 51, 0 = -2*n + 7*n - 5*t - 255. Let p = -7 + -40. Let y = -30 - p. Calculate the greatest common factor of n and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 151*o + 80. Let y be t(-30). Calculate the highest common divisor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 7, v: 1}. Give prob of sequence vg.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 21*v - 47. Let l be w(2). Which is the third biggest value? (a) 8 (b) l (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/4 + -23\/4. Let t = q + -13\/4. Let c = -34 - -33. Sort -3\/5, c, t in ascending order.\nAnswer: c, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(8 + -4 + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) - 20\/(-12). Suppose g*z = 3*z - 2. Is (-2 - 5)\/(z\/(-34)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.2 - 26.2. Which is the biggest value? (a) -9\/4 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -141. Suppose 8*w - 9*w + 1 = x. What is the remainder when 7 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13124 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 338423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - (-500)\/35. Solve -4*r - 2*d + f = 0, 3*r + 3*d - 4*d = 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c - 94 = 0. Let z = c - 22. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 - 6*w + 84 + (69 - 7*w - 69)*(1 - 1 + 1).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*p**2*z**2 - 63174*p**2 - 4*p*z - 4*z**3 wrt z.\nAnswer: -218*p**2*z - 4*p - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v - 1. Let w(s) be the third derivative of s**5\/30 + s**4\/8 + 5*s**3\/6 - 473*s**2. Calculate -w(a) - 4*x(a).\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050504 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: Which is smaller: 2019594 or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732 - 710.03. Let u = v - 22. Let y = -3.97 + u. Is y at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299945 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2. Let n(a) = 30*a + 455. Calculate b(n(g)).\nAnswer: 3600*g**2 + 109200*g + 828100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*f - 585 = 0, 2*h - 370 = f + 20. Let d = -18 + h. List the prime factors of d.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 59812 = 8*r, -20*r + 21*r = 5*s - 149549. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 18477*y**3 + 28270911*y**2 - 560607165*y - 25820438226 = 0.\nAnswer: -3089, -22, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 26. Let z = -49 + 53. Let y be (-286)\/(3\/((-6)\/z)). What is the greatest common divisor of p and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -5\/2 (c) -5 (d) -0.4 (e) -3 (f) 0 (g) -28.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 981 - 1512. Let s = 1180 + k. Calculate the highest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**(-4\/7)*k))\/k*k\/k**(2\/5)*((k\/(k\/k**6))\/k)\/k**(-2\/5))\/(k**(-4\/5)*k**(-1\/7))**(4\/7) assuming k is positive.\nAnswer: k**(727\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 5\/9, -3\/10, -4, -1\/6?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -69. Let t = 10.3 + -2.3. Which is the nearest to i? (a) t (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292\/11 + 2650\/99. Which is the nearest to 2\/13? (a) -3\/2 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 21\/(-4))*4. Let a be (-320)\/(-6)*(-12)\/r. Calculate the highest common factor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 56. What is the units digit of (p\/(-28))\/(4\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/21 + -33 + (-9)\/((-18)\/8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 29 + 10. Let y = 5 + -8. Let a = y - -9. Is v greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:21 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)\/(i**(-2\/9)*i))\/(i\/(i*i*i**(-1\/3)))**45)\/(((i**2\/i)\/i)**(3\/32)*(i\/(i\/i**1))**15) assuming i is positive.\nAnswer: i**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p. Suppose -t + 3 = -p*t. Determine s so that -10*s + 10*s**2 - 4*s**3 + t - 1 + 2*s = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612321?\nAnswer: 3, 204107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -7*t**3\/6 + 2*t - 470. Let h(q) = -33*q**2 + 2. Determine v(h(j)).\nAnswer: 231*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2\/3)*-3. Suppose 4*q = -2*r + 8, -2*q - 3*q = b*r - 3. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (285\/(-7) - (3306\/203 + -16))*-6. Which is greater: k or 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 63 + 18 = 0. Let z = 4 - m. Let b = -13 - -29. Calculate the remainder when z is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.5, 3, -38, 252?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 3.1. Which is the third biggest value? (a) -0.3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, -3, 27 in descending order.\nAnswer: 27, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1197)\/(-152))\/(-21))\/(((-7)\/(-24))\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 235*y + 8. Let k(q) = 2*q - 56922643 + 56922643. What is k(o(w))?\nAnswer: 470*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.1. Suppose 0 = -7*s - 5 - 2. Which is the closest to -0.1? (a) l (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/4 + (-11)\/(-44). Suppose 0*l**2 + 5 - 1 - 7*l + 2*l**y + l = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - q = 30. Suppose -q*u + 4*u + 104 = 0. Let b = u + -85. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**6\/180 + s**5\/60 - 2*s**3\/3 - 14*s**2 - 51. Let g(n) be the third derivative of r(n). Determine v, given that g(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -575, -1150, -1725?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7631 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 4. Let g(r) = -r**3 - r**2 - r + 6. Let x be g(0). What is s(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 + 2*t**3\/3 + t**2\/2 + 10*t. Let s be k(-3). Let z = 30 + s. 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: What is 33 minutes before 10:30 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*r + 28, -4*t - r = -12 - 6. Suppose 0*l - 3*l = 0. Let w = l + t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/6 - 5*j**3\/2 - j**2\/2 + 3143*j. Calculate g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2. Let y(m) = m + 1. Let x(o) = -o**2 + 11*o + 11. Let p(i) = 4*x(i) - 44*y(i). Calculate j(p(b)).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8946 = 2*j - 836, 4899 = j - 3*q. What are the prime factors of j?\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -610, -1307, -2178, -3163?\nAnswer: -4202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwfwwwfffffffffff. What is prob of picking 2 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52173 = 9*h + 52335 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2367*r + 17. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.08, -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 30, -1.1, 9 in increasing order.\nAnswer: -1.1, 6, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12425 and 78725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022200020 - -20?\nAnswer: -2022200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -10*m + 198. Suppose -4*p + 6 = -m. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 52*q**2 - 16*q + 1. Let u(h) = 2*h**2 + 2*h. Let w(j) = -k(j) - 8*u(j). Let d(x) = -5*x**2. Determine w(d(z)).\nAnswer: -1700*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4\/111, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)*p**(1\/3)*p**(-5)*p\/p**(-2\/3))\/((p\/(p*p**(-1\/3)\/p)*p)\/p**2*p*p**(1\/7)*p**(-1\/5)) assuming p is positive.\nAnswer: p**(-407\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-28)*(-123 - -129)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = w + 182 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k. Let f(y) = y + 0*y**3 - 5 + y**3 + 0 - 3*y**2. Let h be f(4). Solve k = 5*x - 5 - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7394 and 1510431532.\nAnswer: 7394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:26 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 53*z\/2 - 704.\nAnswer: (z - 128)*(z + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5*m - 45, -3*m = -5*f + 9 - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgg when four letters picked without replacement from dddgddgddd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 3. Let i(m) = m - 5. Let p(u) = -4*i(u) + 7*x(u). Let a be p(5). Suppose 26 = 5*y - a. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3 and ((-974)\/(-390))\/1 - 3?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9066 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65987 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-15 + 36 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 191, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 3*j**2 + 4. Let r(s) = -s**2 + 1. Let c(u) = 5*u + 21. Let p be c(-5). Calculate p*r(h) + f(h).\nAnswer: 3*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 170653.77us?\nAnswer: 0.000000282165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*x**3 + 27*x + 9*x**5 + 20*x + 57*x**3 wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3\/2*s**2 + 0*s + 1. Let k(v) = -2*v**2. What is k(n(c))?\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaatsxta. Give prob of picking 1 x and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24343 + 24381. What is the remainder when 146 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-1 - 2\/1. Let p = r + 7. Suppose 3*g - p*l - 42 = -12, 0 = -3*g - 3*l. Solve s - i - 8 = -s, -g*s + 4*i + 26 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 48*s**2 - 36*s - 50. Is 95 a factor of t(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22102021011222 (base 3) to base 15\nAnswer: -5d5638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 64*t + 53 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**6 - 6*s**5 - 4*s**4 + 5299*s**2 wrt s.\nAnswer: -360*s**3 - 360*s**2 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/45)\/((-816)\/340).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 7*m, -3*o - 4*m = -12876. Does 81 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/615862 and -111\/14.\nAnswer: 4311034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 29 - -17) + -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -1 - 79. What are the prime factors of -2 - (1 + 2 - f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t - 80*t + 243*t - 88*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 4*v - 64*v**3 + 150*v**3.\nAnswer: 86*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2153651\nAnswer: 4307302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341303?\nAnswer: 341303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4031490.9 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(-2 + sqrt(252)) + 0 + 0 + (sqrt(210)\/sqrt(5)*-6)\/sqrt(6)))**2.\nAnswer: -192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*o + 5 + 25*o - 16*o - 56*o to u + v*o and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.353? (a) 2\/11 (b) 1 (c) 2 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v + 19*v + 5*v + 9*v + 13*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 85*w - 818. Determine f(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*f, 2*q + 40*f = 39*f + 65 + 13. Let j = 2 - 1. What is the remainder when q is divided by (1 + j + -1)*9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*p + 8*w - 13, -w = -3*p + 3. Calculate the lowest common multiple of p and 1458.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121838 = -5*z - 2*g, -5*g + 42880 = 2*z - 5851. What are the prime factors of z?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104962 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 2*q + 4. Give c(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 2014.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3421 + 5?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*175\/45*(-1134)\/(-63).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 444, 1144, 2134, 3420?\nAnswer: 5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471076 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -707801 by 6.\nAnswer: -707801\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85 + 695?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127.275 + 127.3. Let q = 2.095 - -0.88. Let y = q + o. Sort y, -9, 0.2, -0.1.\nAnswer: -9, -0.1, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863 + 8027 = -299*o + 28888 for o.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from momvmmomvmvmo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 16. Let d(r) = 7*r**3 - 4*r**2 - 3*r. Let n(c) = c**3 - c**2. Let q(x) = j*n(x) + d(x). Factor q(m).\nAnswer: 3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -4 + 3 - -4) + -85. Let v = b + 82. List the prime factors of (4\/3 + v)\/((-7)\/(-546)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -13 + 5. Suppose x*k - 26 = -4*z, 2*k = -4*z + z + 22. Suppose 3*b = 5*n + 29, k*b + 0*b + 3*n - 3 = 0. Solve -b*h = h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*x, 0 = 3*q + q + 2*x + 24. Suppose -13*c + 9*c - 4 = 0. Let y = 209.7 - 204.7. Sort y, c, q.\nAnswer: q, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1559 - 17*t + 1547 - 4659 + 1553.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205578 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387455 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 87.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3 - 548*g**2*i**2 + 136*i**2 + 40*i wrt g.\nAnswer: 12*g**2 - 1096*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -48.04. Let l = g - -0.04. Put 0, -1\/5, l in ascending order.\nAnswer: l, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177 - 1967*b + 8*b**4 + 2019*b - 583 with respect to b.\nAnswer: 32*b**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c**3 + 7*c**3 + 7*c**3 + (3*c**2 + 0*c**2 - 2*c**2)*(3*c + 0*c + 4*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 223*m**2 + 3*m. Let x(z) = -z**3 - 7*z**2 + 17*z - 10. Let b be x(-9). Does 10 divide s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/5 and 123\/62840.\nAnswer: 62840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47609524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2 + 67\/4. Let p = -277\/20 + d. What is the nearest to p in 0.42, 3\/4, 3?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30976 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-207)\/(-36) - 1\/(-4). Suppose -1967 = -24*m + 49. Let p be ((-14)\/m)\/(4\/o). Which is the nearest to p? (a) -2 (b) -1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 1 - 1 + (r**2 - 2*r**2 + 2*r**2)*(-27*r**2 - 5 + 19*r**2 + 3).\nAnswer: -10*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1153474 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 881487505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 1:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2308 or -2402?\nAnswer: -2308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45304.\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/18 + 44*l**3\/27 + 17*l**2 + 72*l + 358. Factor r(k).\nAnswer: 2*(k + 4)*(k + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -6*a + 3*a + 3*k, -4*a = 4*k + 28. What is the tens digit of ((-4188)\/(-18))\/(a\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - 1\/6*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times 9.08?\nAnswer: 3.0872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12608 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -68. Calculate the least common multiple of (6\/(-18))\/((-1)\/18) and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13937\/4 - 3487. What is the common denominator of 149\/1032 and z?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*u**2*v**2 + 162970*u**2 - 16*u*v**2 + 76*u*v wrt v.\nAnswer: -30*u**2*v - 32*u*v + 76*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 58. Let k = a - -44. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/27 and 2\/(-15) - (-1011)\/270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005780054 rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 15*f + 1. Is n(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 1, a: 3, n: 1, q: 1, u: 2}. What is prob of picking 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5*u - 453. Let t be f(-24). Let z be ((-4)\/(-10))\/(3\/(-30)). Sort 13, t, z in decreasing order.\nAnswer: 13, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3 - 5528*z**2\/5 + 140914*z\/5 + 28404\/5 = 0?\nAnswer: -1\/5, 27, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336085190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 8*u - 49. Let g(y) be the first derivative of 0*y**2 + 3\/8*y**4 + 0*y - 1\/6*y**3 - 9 - 3\/10*y**5 + 1\/12*y**u. Factor g(t).\nAnswer: t**2*(t - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -1640*w**2 + 1631*w + 9 = 0?\nAnswer: -9\/1640, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 28. Let d = 7 - q. Let w(x) = -x**3 - 2*x**3 - 81*x**2 + 4*x**3 - 3*x**3 + 79*x**2. Determine w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**9\/4536 + t**8\/420 + t**7\/140 + 20*t**3\/3 + 3. Let j(i) be the third derivative of l(i). Suppose j(d) = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let x(i) = -7718553*i. Calculate d(x(u)).\nAnswer: -59576060413809*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 2*d + 5*u, -d = 458*u - 459*u - 59. Let b(w) = w**3 + 4*w**2 - 5*w - 5. Calculate the remainder when d is divided by b(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:14 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -73*m**2. Let u(s) = -3*s**2. What is u(x(w))?\nAnswer: -15987*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4301 = -3*d, 4*t = 24*d - 25*d + 3445. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.54 to 1 dp.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2040 and 8466.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*d - m, 0 = 12*m - 15*m + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10 + 6 - 9 + 16*a + 11. Let b(p) = 2*p**2. Calculate t(b(k)).\nAnswer: 32*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**32*b)*b)\/b**(-1\/53)*b**(4\/15)\/b**(-29) assuming b is positive.\nAnswer: b**(-1363\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/13, -0.1, 6, 0.5 in decreasing order.\nAnswer: 6, 0.5, 0.2, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 66. Suppose -4*i - 7 = a - q, -3*a - 2*i + 16 = 0. Solve 0 = x + 2*j, -a*x + 2*j + 8 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20982260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((0 - -2) + -1). Suppose 2*h + 5 = u*q, -h - 4*q + 3 = -1. Let a = -0.4 - -0.9. What is the closest to h in -3, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**(-1\/7) assuming z is positive.\nAnswer: z**(-2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.6, -2\/967?\nAnswer: -2\/967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 4. Suppose 4*z + 31 = 95. What is the highest common factor of n and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2604457*-39\nAnswer: 101573823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51856*z**3 - 40214*z?\nAnswer: -311136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 6*d**2 + 2*d - 1. Let n be y(-7). Let h = 116 - n. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2655*d - 68581 - 85409 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/(-6))\/(6\/(-126))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.048? (a) 0.5 (b) 42 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/(p*p*p**3*p*p*p))\/(p**(-5)*p*p**(-1)))\/(p\/(p\/(p\/p**(-2\/5)*p))*p*p**(-4)\/p)**40 assuming p is positive.\nAnswer: p**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2*s + 167 - 145 + 4*s - 12*s**3. Find the first derivative of u(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - (1 - 10)) + -10 - -5) + 9 - -80?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + i - 2, 70*i - 72*i + 8 = 8*k - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, z: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**2\/2 + 119*n - 7. Suppose h + 3*h = 0. Is x(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42273 to the nearest 100.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by -5.\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/13, 11, -3, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1707 + 28*y - 1707)*(y + 0*y + 0*y) - 4*y + 4*y - 2*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*((-3)\/(-3))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/12)\/(1 - 8\/4). What is the nearest to -1 in k, 2\/9, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/21 and -59\/666.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32781.3 months?\nAnswer: 2731.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 40. Let f(i) = -449*i + 153*i - k + 172*i + 162*i. Let a(x) = -3*x**2. Calculate f(a(g)).\nAnswer: -114*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2825\/259709?\nAnswer: -2825\/259709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 144595413*b. Let l(q) = -q**2. Give l(x(c)).\nAnswer: -20907833460640569*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 0. Let v = k - -11. Let h(b) = 2*b**v + 5*b + 2 + 5*b**2 + 3 - 3*b**3. What is h(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 17 = -8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 3*g + 16, -5*b = 3*g - 4. Sort b, -5\/2, 1\/3.\nAnswer: -5\/2, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1751\/9, 0.3, 84, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-60)*-45*(-2)\/3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n + 3*f = 18, 5*f - 22 = -3*n. Calculate the highest common factor of n and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 3:56 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78.802 + 0.198. Let w = 79.0033 - k. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from xllkhkaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/7 in -1, -0.5, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*k + 79, -j + 7*k + 34 = 11*k. Solve -5*r - h = 8 - j, -5*r + 6 = -h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -22 + 5 + -147 + (-5 - -11).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*g + 2889 = 93*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64666688 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2995502.12 + -3076589. Let a = x + 81095.879767. Let l = a + -9. What is l rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43529 is divided by 6216.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose 3*y = -y - g*t + 30, -3*t = -6. Solve -i - 4*i + 2*p - 10 = 0, y*p + 37 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/9 (b) 2\/41 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16515494 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.4 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 4. Let n(v) = v**3 - 4*v**2 - 6*v. Let f be n(5). Give u(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1489*y + 511917. What is s(344)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 26*n**2 - 1. Suppose 0*w - w + 36 = 0. Suppose -l + 5*l - w = 0. What is the remainder when f(-1) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151484 is divided by 73.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2875926\/91 + 31604. What is the common denominator of h and -16\/77?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 36.1. Which is the second biggest value? (a) 4 (b) -4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12558 = 29*m - 34*m, -m - 16761 = -4*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -220405, -220420, -220439, -220462?\n\"Answer: -2*o**2 - 9*o - 220394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c*p - 1944*c + 385949*p + 6 wrt p?\nAnswer: -5*c + 385949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-15)*(-15)\/18)\/(-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3 - 2. Let y be (c + 0 - -1) + -12. Let m be 2 - (-26)\/y - -1. Which is bigger: m or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33013 (base 7) to base 16.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 1 + 1 + 2*i**2 + 3*i**2 - 3*i**2 + (3*i**2 - 2*i**2 + 2*i**2)*(3 + 1 - 2) - 2*i**2 - 4*i**2 + 5*i**2)*(3*i + i - 2*i)*(-1 - 6 + 0).\nAnswer: -126*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -63. Which is the closest to p? (a) -2 (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1731, 988, 3707, 6426, 9145?\n\"Answer: 2719*r - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035692 to the power of 1\/2, to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-354)\/9 + (-24)\/(-18). Let x = -193 + 125. Let v = j - x. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3531)\/6420)\/(1045\/(-76))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 285 and 284 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -81ac741?\nAnswer: 81ac738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = n - 6, -4*n + 0*v + 2*v + 24 = 0. Let p be 3\/(-3 + n) + 1. Let c(u) = u**2 - 4*u**2 + p*u**2. Let q(j) = 2*j. Determine q(c(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 426, 927, 1428?\n\"Answer: 501*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*j - 108, 2*v - 3*j - 106 = -0*j. Let t be (-4*5\/v)\/((-1)\/1655). Suppose 5*h = m + 3247, -2*h + 4*m = -3*h + t. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v. Let p be (9 + -8)\/((-1)\/3). Let j be o(p). Let a = j + 81. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = -5*c, -c + 58 - 59 = -2*k. What is the closest to -1 in -7\/9, -3, k?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11 - 3)*(d**2 + 3*d**2 - 2*d**2).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 560 = -2*a - 0*p, -1076 = -4*a + 5*p. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(sqrt(228) - sqrt(228)*1 - sqrt(228))*2)\/(-3*sqrt(12)*-5 - sqrt(12)*-3*-2).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:22 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 0, 0*y + y + 2 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420078 divided by 187?\nAnswer: 7594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -880431998*n**4 + 4*n**2 + 93813443*n wrt n.\nAnswer: -21130367952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let i = 0.4366 + -0.4266. Which is the nearest to k? (a) i (b) 0.2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, -0.2, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*v + 11700 = -78*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/11341 and -77\/585608.\nAnswer: 6441688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b - 4. Let a(f) = -f**2 - 3*f. Let t be a(-2). Let y(p) = -11*p + 30 - 1 - t + 59*p. Calculate 27*h(j) + 4*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -17.7. Let s = 0.4 + g. What is the closest to 0 in 0.5, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43601554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3634 + 3632. Sort -4, 1, b, 0.\nAnswer: -4, b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5380*g - 5393*g + 1246843 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 4229 = 15279. Let h = x - 218. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1503, 0.0413, 10\/17 in ascending order.\nAnswer: 0.0413, 0.1503, 10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054625 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {i: 1, h: 1, n: 1, l: 2, v: 1, b: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/280)\/((-2)\/(-120)))\/(1398\/4893)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37513 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*h + 5, -v + 2*v + h = -9. Let p(y) = -y**3 - 3*y**2 + y + 1. Let d be p(-3). Let f = d - -4. Sort -1, f, v in increasing order.\nAnswer: v, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, w: 11, p: 3}. What is prob of picking 4 w?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470678086.\nAnswer: 2, 43, 5473001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -2626 (c) 432 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 - 17*y + 99. What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16*v**3\/7 - 348*v**2\/7 + 456*v\/7 - 92\/7 = 0?\nAnswer: -23, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(125\/(-60)))\/(2\/5). Let m(d) = -2*d**2 + 8*d - 8. Give m(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let o(i) be the second derivative of i**3\/6 + 21*i**2\/2 - 68*i. Give o(m(l)).\nAnswer: -l + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 105123 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 + -4 - -16) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x + 291 = -96 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/31)\/((-24)\/624*-13)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + -106. Let i = 129 - -79. Calculate the greatest common divisor of i and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 4. Let d = 17 + -14. Let q(h) = -7*h - 4 + 6*h**3 + 0*h**2 - 2*h**2 - 3*h**d - 2*h**3. Let v be q(4). Calculate a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.08 take away 25100066406?\nAnswer: -25100066534.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**13*h*h*h*h)\/h)**(-32)*h**(-5\/4)\/(h**(-2)*h))**(-18) assuming h is positive.\nAnswer: h**(19593\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/8 + 54207*a**4\/4 - 977133*a**3 + 19442934*a**2 - 66479826*a + 62788140 = 0. Calculate a.\nAnswer: -36210, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oioj when four letters picked without replacement from ojfjjccjujiofcc.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*a, -a + 14 = -4*f + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -26*g - 79. Let q be u(-6). Suppose -2*r = -6*r + 40. Suppose 0*m = -4*a - 4*m + 8, 0 = -2*m - r. Calculate the highest common factor of q and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = 3*y, 4*y + 6*u = 3*u - 15. Let j be (-4 + y)*3\/6*-2. Differentiate 0 - 8 + 3 + 45*h**2 - j with respect to h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -344, -350, -360, -374?\n\"Answer: -2*r**2 - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -200980070*z + 200980070*z - 1864*z**2 + 2 as j*z**2 + f*z + w and give j.\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -8)\/(-1) + 0. Suppose g + 3*g = 52. Let b = 14 + g. Calculate the greatest common divisor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-594)\/(-135))\/(1\/5))\/(4\/(-14)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-1)\/((-12)\/4))\/34?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308\/110 - 2\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 5*g**2 - 3*g - 1. Let l = 59 - 88. Let q = l + 47. Calculate the lowest common multiple of m(-5) and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5 + 4 + 1 + 1 + 9*i. Calculate the remainder when q(3) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2\/7, -2 in decreasing order.\nAnswer: 2\/7, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447930688?\nAnswer: 2, 17, 541, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(288)\/(2*sqrt(8)))\/(sqrt(768)*-1).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s - 2. Let m be ((-1)\/1)\/(1\/(-6)). Let r be z(m). Let u = r + 7. What is the remainder when 13 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 28*m = 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24442608 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 14*f - 60 + 3 + 34*f + 3*f**2. Does 17 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n + 3*n + 0*n + 2 - 9*n + (4 - 20 + 4)*(0 + 2*n + 0).\nAnswer: -28*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*c + 2048*f - 2043*f, -3*c = 2*f. Let t(r) = -14*r + 28. Determine t(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0865+41\nAnswer: 41.0865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 19. Let u = -7.9 - p. Which is the nearest to 2\/5? (a) u (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/23)*g**13)\/(g**(-3\/17)\/((g\/(g*g**30))\/g*g*g)) assuming g is positive.\nAnswer: g**(-5813\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.5253t in grams?\nAnswer: 45525300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 < -3\/515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13. Suppose 3*o + 6 = d, 4*o + 8 = 2*w + 2*o. List the prime factors of (-11)\/3*(w + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 56 (b) -0.1 (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Let v(x) = 1 - i*x - 2 - 2*x**2 + 2. Let j = 954 + -957. What is v(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1761 + 477745?\nAnswer: 501726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + (-8)\/(-8). Let u be 1 + (12\/i)\/3. Suppose 231 = u*y - 3*w - 81, 2*y = 3*w + 123. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, e: 12}. Give prob of sequence ejj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 + (45 - 139 - -101).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + 0 + 14 - (-10 - (7 - 4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = -5*l, -7*d + 4*d - 2 = -2*l. Is d + 40\/18 - (-1352)\/72 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 3 - -1) + (0 - 32). Let x be (v\/(-7) - (-1 + 2))*1. Solve 23 = 3*a + 4*c, 5*c = x*a + 21 + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 776.2457 nanograms?\nAnswer: 0.0000007762457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -428, -1507, -3632, -7157, -12436?\nAnswer: -19823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 1*(1 + sqrt(208)) + 5.\nAnswer: 6 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -960735741, -1921471483, -2882207225, -3842942967, -4803678709, -5764414451?\nAnswer: -6725150193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 5*d**2 + 2*d**2 - 2*d - 5*d**2 + 5*d**3. Calculate u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -387651.\nAnswer: 1\/129217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 + 14*f + 8 - 13*f - 7 wrt f?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - -45 - 14) + -133?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 2*t - 30. Let q be s(0). Let i = 39 + q. Solve 0 = -3*x - i, 3*x + 0*x = -4*b - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*a**4 + 0 + 40\/11*a**3 - 78\/11*a**2 + 36\/11*a.\nAnswer: -2*a*(a - 3)**2*(3*a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20*10*8\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 - 40*g**3 + 115*g**2 + 150*g = 0.\nAnswer: -10, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-3)\/11 - 16132\/(-65120)). Let v be (1\/(-5)*1)\/(-1). Which is the closest to -13? (a) -5 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039732 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1687 times -98?\nAnswer: -16.5326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 w when four letters picked without replacement from {n: 5, w: 2, e: 10, j: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + ((sqrt(117) + 1 + sqrt(117))*4 - -2*(-1 + sqrt(117))))**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 5*u + 5. Let w(y) = -2*y**2 - 7*y - 7. Let o(h) = 7*s(h) + 5*w(h). Determine o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 6. Let z be l(-2). Suppose 0 = -0*w + 4*w - z, -w = 5*m - 27. Calculate the lowest common multiple of m and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 159*x - 156*x. Solve -3*l = 5*j - x, 20 - 11 = 3*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = 4. Suppose 4*s - 68 + 48 = 2*a, -6 = -s + a. Sort 6, p, s, 0 in increasing order.\nAnswer: p, 0, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 5:18 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 22 = -p, 0 = 3*u + 4*p - 7. Let k be 12*(-808)\/(-72)*90\/24. Calculate the highest common divisor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 35*m**2 + 18*m - 32. Let y be 7\/(21\/87) - 3. Let u be k(y). Round u to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 943 and 981709?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, e: 2}. Give prob of sequence xex.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -819*v**2 - 447?\nAnswer: -1638*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-190845)\/4 - (-2)\/8)*(-26)\/26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*m = 3*j - 125*m - 204, 0 = -3*j + 4*m + 204. What is the remainder when 350 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Suppose 5 = 2*o + 3*o. What is the nearest to -3 in o, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1028203.674 - -36.\nAnswer: -1028167.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 71*d - 12.\nAnswer: 71*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53799.\nAnswer: 3, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:35 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, u: 13}. Give prob of sequence yuu.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21 + 5 + (1 - 3). Let t = -11 - v. Calculate the remainder when 20 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496 + -483.74. Round z to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u - u + 0*u)*(-2*u - 2*u + 2*u)*(1 - 2 + 3) + (4*u + 0*u - 6*u)*(-2*u - u + u))*(8*u - 7*u - 10*u).\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 55. Suppose c + 3*c - 84 = -4*l, 0 = u*l - 3*c - 73. Suppose -l*p + 670 = -12*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 = -2 + 7. Suppose -x*y + 0*f + 4*f + 124 = 0, 4*f = -4*y + 92. Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-565)\/(-2))\/5*-2. Let p = h + 68. Let b = 338 + p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 2. Let c be s(-1). Suppose 4*u + c*v = 3*v + 11, -5*v - 13 = -4*u. Suppose -u*d + d + 29 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1425.\nAnswer: -1\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*h - 21. Let i(p) = -p**2 + 9*p - 17. Let m be i(h). Sort m, -5, -2.\nAnswer: -5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v - 12. Let c be (-2 - -1)*12\/4. Let l be m(c). Suppose -79*s = -84*s + l. Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 113, 221, 369?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 33 - 5)*(-18*h - 332 + 99 + 218) to i*h + w and give i.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4228, 8437, 12622, 16771, 20872?\n\"Answer: -2*m**3 + 4223*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 316*u. Let b(f) = 1581*f. Calculate 5*b(c) - 24*d(c).\nAnswer: 321*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(1\/7))))\/w)**(-25)*(w\/(w*((w\/w**(-1))\/w)\/w)*w)**(-7\/6) assuming w is positive.\nAnswer: w**(-199\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z*z\/z**(-11))\/(z**(-3\/4)*z\/z**(2\/3)) assuming z is positive.\nAnswer: z**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(-2*m + 2 - 2) - 2 - m + 2 + 9*m - 3*m - 18*m - m + 2*m + m as z + v*m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - 0) + (753 - 763)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.526015 grams to milligrams.\nAnswer: 9526.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.3 + 13.2. Put j, 5, 0.09 in decreasing order.\nAnswer: 5, 0.09, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248*38\/(-304))\/(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5042, -3, 6 in ascending order.\nAnswer: -5042, -3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.07 and 227.\nAnswer: -4555.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2631 (b) -464 (c) -11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2488 by -1244.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**16*b*b)\/b)\/b)\/((b**6*b*b)\/b) assuming b is positive.\nAnswer: b**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167793?\nAnswer: 3, 383, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4702.187us to nanoseconds.\nAnswer: 4702187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - 10*k**2 + 3*k**3 - 5*k**2 - 6*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/266)\/((-11)\/(308\/(-48)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2834569235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, c: 2, a: 1, z: 2, l: 1, j: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(40)\/sqrt(10)))\/(3*sqrt(294)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*s - 27 - 12, -4*s - 100*p + 99*p - 27 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 1\/60*i**6 - 1\/10*i**5 - 4*i + 0 - 1\/6*i**3 + 0*i**2 + 5\/24*i**4. Factor z(l).\nAnswer: l*(l - 2)*(l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -18*k - k**3 + 4*k**3 - 3 - k**2 + 18*k. Let u be s(3). Suppose 4*v + 24 = 2*z, v = 3*z + 6*v - u. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjlljlhjjljljllljl. What is prob of sequence hjlh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 3*w, -2*l - 10 + 2 = 0. Let g be 3*(69\/9 + -4 + w). Is g\/(-3) - (1 + (-2975)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = w + 11, 5*y - 2*y + 14 = 5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 85467434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - 1) + (-10 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t**3 - 1089*t**2 - 70*t - 198. Let f be h(-64). Calculate the greatest common divisor of 6262 and f.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 6*o + 2. Let k be y(-6). Let p be (-2 + 4)*22\/k. Let h = p + -16. Solve -3*r - h - 3 = -4*g, -2*r = -5*g + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:34 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8685 and 965?\nAnswer: 8685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -7 (c) -4\/5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705.1*4.5.\nAnswer: 3172.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.11 + 4.3. Let j = 15.14 - 12.7. Let h = j - a. What is h rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x**3 + 0*x)*(0 - 2*x + 0) + 15*x**4 + 101*x**4 - 22*x**4 - 1 + 2*x**4 + 1 + 2*x**4 - 4 + 4 + (0*x**2 + x**2 + 0*x**2)*(-x**2 + 0*x**2 + 3*x**2).\nAnswer: 102*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(5*i + i - 4*i) - 2*i + 5 - 5 + 5*i - 2*i + 3*i)*(3*i**2 - i**2 - 3*i**2).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 - c?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 10. Let s(r) = 8*r + 9. What is the tens digit of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313808873.4999751 + -313808891. Let w = 17.5 + a. What is w rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 14*y = 2*m - 148, 5*y = -m + 67. Let x(t) = -m*t**3 - 73*t**3 + 4 + 144*t**3 - 2*t**2 + 2*t. Calculate x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/32480 and -67\/620368.\nAnswer: 6203680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 309 - 2782\/9. Which is the closest to 1? (a) 0.09 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*f**2 + 125*f + 7855298?\nAnswer: -114*f + 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2109364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q + 22. Is (-3 - (-13)\/q)*-10 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 + 4368*p**2 - 698592*p + 26985472 = 0 for p.\nAnswer: -2336, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005952 to seven dps.\nAnswer: -0.0000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 274*h + 737. Let q(j) = 436*j + 1105. Let m(s) = -5*q(s) + 8*z(s). Calculate m(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:14 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 24*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030140020 (base 5) in base 11?\nAnswer: 126880a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*n - 5*j - 17, j - 4 = 0. Suppose 3*t - 15 = -0*t. Suppose -160 = -t*g + g. Calculate the remainder when g is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1160 - 1174. Which is the fourth biggest value? (a) 2\/15 (b) 1\/2 (c) s (d) 2\/13 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5 - (-54)\/10. Let i(p) = -p + 8. Let t be i(7). Suppose v = k + t. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105843622*l**6 - 10*l**2 + 4556602*l wrt l.\nAnswer: 12701234640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10620 and 603177768.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 11213442?\nAnswer: -11213452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -50 + (-2 - 1) + 3. Does 13 divide (-78)\/(-5) - 20\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*z - 30 + 110, 4*z = 3*d - 55. Let v be (-15 + -1)\/(d\/17). What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 - 2)*(r + 1 - 1) + (-2*r + r + 5*r)*(6 - 4 - 4).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4 - -4 - 1). Which is smaller: -8 or x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t - 64. Suppose 4 = l - 2*o - 0, 3*o + t = 4*l. Let u be (-8)\/(-20) - l\/10. Solve 4*j - 5*q - 16 = u, 5*j + 0*j + 3*q + 17 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-52)\/(-3)*(-6)\/(-8). Let v = 31 - f. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213619042 and 11526.\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*y**3 - 338*y**2 + 2416*y + 37 wrt y.\nAnswer: -936*y - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32895566 and 11891?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11702337841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1079 + -4489\/4. Let d = x + 44. Factor 1\/2 - d*r + 1\/4*r**2.\nAnswer: (r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*-2)*-6)\/(sqrt(6) - (sqrt(150) - (sqrt(150)*3 - sqrt(150)))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 49\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 188 - 212 = 0. Let w(f) = 2*f**2 - 2*f - 5. Let h(x) = 6*x**2 - 7*x - 16. Give c*h(q) - 7*w(q).\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 39.6 times -13078.8\nAnswer: -517920.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x + 20 = 0. Let y = 33 - x. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -41. Let x = r + 6. Suppose x*v - 8 = -4*i, i + 8 = 5*i - 4*v. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + (-84)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 22. Let o be -2 - 4*(-1 - 0). Suppose -2*n + 20 = o*n + 2*s, 0 = 4*n + 5*s - c. Put n, -2, -1\/3 in decreasing order.\nAnswer: n, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*y - 19. Let s be 8\/y - 2\/3. What is the nearest to -1 in s, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/7*-6 + (-18)\/(-21). Solve 6 = c*t - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + 10 - 40) + -55.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1890 and 55860?\nAnswer: 502740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + u**2 + 4*u**2. Suppose -7*l + 4*l + 6 = 0. Let r(c) = -38 + 38 - l*c**2. Determine h(r(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28*(-1 + (-4)\/(-8)). Let h be w\/(-21) - 14\/(-3). Solve -t - h*t = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/216 + (9 - 6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3065, 6090, 9115, 12140, 15165, 18190?\nAnswer: 21215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9707 divided by 1.\nAnswer: -9707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0 - 1\/28*x**4 - 1\/70*x**5 - 1\/420*x**6 - 1\/21*x**3 + 2*x**2 + 0*x. Determine b, given that l(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.056 or -0.2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2583*r - 2582*r - 2575*r + 7740*r. Let v(i) = -234*i. What is v(t(z))?\nAnswer: -234*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 10 - 8*i + 0*i**2 + 8*i**2 - 3*i**2. Let t be m(5). Solve 2 = v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135\/45*(-13)\/9 + 6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + 1 + sqrt(567).\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-176)\/112*40\/(-22) and -46\/1417.\nAnswer: 9919","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4 - 2*i - 2*i + 3*i - 2*i**2 + 6*i. Let s(p) = 3*p**2 - 9*p - 7. Give -3*s(o) - 5*w(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20780*j**3 + 43971*j**2 wrt j?\nAnswer: -124680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0122637 months?\nAnswer: 0.00001021975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*c**3 - 1255*c**2 - 521733 wrt c.\nAnswer: -141*c**2 - 2510*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-0.287267.\nAnswer: -0.02298136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -256\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 24 = -2*j, 1304040 = -4*j - 2*k + 1304024 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/2 + 45*q**4 + 89*q**3\/2.\nAnswer: q**3*(q + 1)*(q + 89)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 12. Let o = 22 + -10. What is the smallest common multiple of o and (-8)\/12 - 44\/h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k + k, 4*y - 3*k = -17. Let x be ((-21)\/9 - y)*0. Solve b - 3*m + 4 = -x*b, -4*m - 3 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.44, 4\/7, 2, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2927 divide 3059505290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.85049 years in millennia?\nAnswer: 0.04185049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.5401 to the nearest integer.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 5:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3\/7 + 16*l**2 + 340*l\/7 - 6936\/7 = 0.\nAnswer: -17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -689. Let w(x) = 827. Let m(a) = -6*j(a) - 5*w(a). Let n(h) = -4*h - 16. Let q(o) = o + 5. Let y(i) = -6*n(i) - 20*q(i). Give 4*m(p) - y(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245465*o - 123014*o - 122864*o - 28084 = 0 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Let r(q) = -1788*q. Determine r(f(a)).\nAnswer: -3576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 9. Let f be (-19)\/d - 9\/(-27). Let h = -50\/3 - -16. Which is the third biggest value? (a) h (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -23. Let u be -1 + d\/15 - (-6)\/15. Suppose -3 = v - u*v, 2*i - 5*v - 269 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 e when three letters picked without replacement from ezmozez.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - 7*n**2)*(1 + 1 + 0)*(-3*n + 6*n + 0*n).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.906086 rounded to one dp?\nAnswer: 264.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = 4*d - 12, -5*z = 25. Solve 12 = -d*b + 37 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/60 + z**4\/24 + 5*z**3\/3 + 3*z**2. Let s be i(0). Let r = 29 - s. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32527 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28392 - -31663. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6084 and -25\/955188.\nAnswer: 955188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 19 - 147. Let w = -21 - n. Suppose -5*v + 72 = 3*l - 2*v, -3*l - v = -66. Calculate the remainder when l is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -423 - -2539\/6. Which is the closest to -0.1? (a) -0.5 (b) -0.4 (c) w (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/561 and 4\/33?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-52) - 19\/(-4). Let s(b) = -x - 3*b - 1 + 0*b + 4*b. Give s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132896 is divided by 383?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 15 + 30 = 0, -110162 = -22*g + 3*f - 110079 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i**(-21)\/i*i*((i\/i**(-4\/5))\/i)**(14\/11))**(-42) assuming i is positive.\nAnswer: i**(36918\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5.43\nAnswer: 9.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476 and 51.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*q**5 + 39*q**4 + 4924*q**2 wrt q.\nAnswer: -2100*q**2 + 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2. Let u(l) = -74*l**3 - 3*l**2 + 7*l - 8. Let y(o) = 4*b(o) + u(o). What is the third derivative of y(k) wrt k?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**2\/v)\/v**(2\/3))\/v**(1\/15))\/((v*v*v**(-2\/5)*v)\/(v\/v**(1\/7)))**(2\/69) assuming v is positive.\nAnswer: v**(174\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 819 in 1\/3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 16*g - 6. Suppose z - 2*z - 4*h = 32, 0 = -2*h - 10. Is 14 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080\/(-220) + (-133395)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 11. What is w(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-13 - -11 - (-7 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22361 + -18267. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, g: 1, q: 2, m: 1, t: 1, p: 1}. Give prob of sequence mqtp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.97 - 13.67. What is the biggest value in -2\/11, -4\/7, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 36. Let u be y(11). Solve s = u*v + 13, -3*s = -s + 3*v + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 9. Suppose 0*v + 168 = m*v. Suppose -2*d - 3*d - v = -2*h, -d + 32 = 2*h. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041 + ((-756)\/180 - 1\/(-5)).\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*q - 6*l + 4*l, -l - 27 = 3*q. Let u = q + 0. What is the units digit of (-115 - u)*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -1\/11, -4, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - w**2 - 58*w**2 - 2 to r + x*w**2 + v*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - -189?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 11. Let d be t(6). Let g be (-1 + 3)\/(6 + d). Suppose y - g*y + 16 = 0. Solve -3*k - y = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 113 - 17 = 0. Let j be -2 - b\/(-14)*12\/18. Do 6 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/123 and -89\/861.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13495?\nAnswer: 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 17 = 2. Suppose -4*c = j*u + 587 + 333, 5*u + 3*c = -915. Find the common denominator of u\/63*(-14)\/(-9) and 53\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let q be 2 + (-130)\/(-39)*(-6)\/m. Let u be (-1 - -1) + 1 + 1. Solve q*g = u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 13) to base 6\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*(3 - 4 - 8*j + 2).\nAnswer: -32*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 7 - -3) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1300 and 9676040.\nAnswer: 628942600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551789002.\nAnswer: 2, 17, 45640853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/(17\/5). Let q be (-2 + 14)*(-3)\/(-12). Let d be q*(12\/(-20))\/(-3). Put 1\/9, w, d in decreasing order.\nAnswer: d, w, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 16*u - 17 + 5 = 15*u, -6*h + 10*h = 2*u - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341231 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c = 5*o - 475, -5*o + 4*c = -475. Suppose a = -h + 34, -8*h = -3*h + 20. Calculate the greatest common divisor of a and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*n**2*r - 2*n**2 + n*r + 150*n wrt r?\nAnswer: -51*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*l + 5*l**2 + 33 + 212 - 40*l.\nAnswer: 5*(l - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 728 divide 555464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 41*t - 34. Determine s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 31*s**5\/120 + s**4\/12 - s**3 - 6. Let y(n) be the third derivative of j(n). Let f be y(-2). Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 22*p**2 + 9*p - 121. Calculate y(8).\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - 28. Let r = n + -5. What is j in 4*j**3 - r*j - 3*j + 7*j - 3*j**3 + 3*j**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.1. Let x = -47479\/12 - -3952. Let u = -13\/3 - x. Which is the closest to 0? (a) 0.2 (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 + 5*t**2 - t. Let z(g) = -g + 16. Let c be z(11). Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - 51 + 632*l**2 - 57 in the form p*l + h*l**2 + r and give h.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(-2)\/k)\/k*k))\/k)\/k)**(25\/3)\/((k\/k**(1\/2))\/k*k*k\/k**(-1\/3))*(k**0)**(-39)\/(k**(-5)\/(k\/k**(-3\/2))) assuming k is positive.\nAnswer: k**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1665*a**2*n**2*u**2 - 2*a**2*n*u - 3*a**2*n - 104*n*u**2 wrt n.\nAnswer: -3330*a**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 50 = 5*f, -5*f = -x + 4*x - 36. Suppose 2*b = x*b. Let o be (-5)\/((b - 2)\/2). Solve -2*n = -2*i, -3*n + 0 = -4*i - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -78510.47, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/3 + 1)*2 - -3. Solve 3*r = v + 5, -r - 4*r = 2*v - l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (3*(((-2 + sqrt(1216))*-6 - sqrt(1216)) + -3*sqrt(1216) + 3))**2 + 3).\nAnswer: -5482165 + 108000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281 = -26*s - 1411 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -2104114352?\nAnswer: -2104114342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a factor of 102879572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 4, -22 in increasing order.\nAnswer: -22, -9, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 548056.9 grams in nanograms?\nAnswer: 548056900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**2 - 4*s - 2. Let n be g(6). Let x be 8 + (-6)\/3 + -2. Calculate the highest common divisor of x and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(8\/(-12)) + 280. Let u = f - 138. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*l**3\/11 - 79780*l**2\/11 + 31918*l\/11 - 3192\/11.\nAnswer: -2*(l + 1596)*(5*l - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 22. Put 4, 5, x in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/3 (b) -417 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -4437?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 9*w - 19. Give s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0 + 2*r + 0. Let d(a) = -a + 1. Let w(u) = -4*u + u + 1 + 2*u + u**2 + 0*u**2. Let t(n) = -d(n) + w(n). Calculate t(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 3. Let u be (78\/(-16))\/(3\/4). Is u < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36957811 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (10 - -1))\/(-6). Solve 0 = -q + 4 - m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 11:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 11 = l, 0 = 5*l - 8*l + 5*r + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23556, 2\/3, 1.9 in ascending order.\nAnswer: 2\/3, 1, 1.9, 23556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2194778, -4389652, -6584536, -8779436, -10974358, -13169308, -15364292?\n\"Answer: -b**3 + b**2 - 2194870*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrs when four letters picked without replacement from {r: 4, s: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*q + 1199 + 601 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 56*q - 60*q - 3 + 3. Let i(u) = 1. Let z(o) = 2*o + 4. Let r(c) = 4*i(c) - z(c). Give w(r(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/10 + 901\/85 and 1 - (0 + (-3 - -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 c, and 1 v when four letters picked without replacement from uagaccnv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 53508979 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 48\/18. What is the nearest to -1 in -5, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6422 + 6454. Solve 4*c - r + 1 = 0, -6*r + g + 0 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1449*i - 11. Determine g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(98)*-1) + 5 + (sqrt(350)*-3 + sqrt(14))\/(2*sqrt(72)).\nAnswer: -55*sqrt(7)\/42 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:46 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykd when three letters picked without replacement from {y: 7, d: 1, k: 3, v: 7, x: 1}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 197 = -1320 + 565 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1083 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6\/13))\/x**(-1\/4))\/(x*x\/x**(-2\/5))**(-40\/9) assuming x is positive.\nAnswer: x**(1931\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 5*n - 1. Let q(y) = y**3 + y**2 - 2*y - 3. Let v be q(-2). Let r = v - -7. Let u be (-189)\/(-28) - (-1)\/r. Give t(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2761\/502)\/(66\/300)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -9.4. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, o: 1, j: 4}. Give prob of sequence jzjo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749942?\nAnswer: 2, 569, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 14. Let f be 7 - (k\/2)\/4. Suppose 6*v + 3*d - 32 = 2*v, -f*v + 35 = 5*d. Calculate the remainder when 19 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let g(b) = b**3 - 6*b**2 - 8*b + 7. Let l be g(7). Let i(o) = -2 + 2 + 10*o**2 + l. What is m(i(x))?\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**14 assuming o is positive.\nAnswer: o**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 28.78. Let d be (-16)\/(-140)*(550\/20)\/11. Sort a, 1, d.\nAnswer: a, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(1008))**2 - (2 + sqrt(1008))*-4 - (sqrt(1008) + (2 + sqrt(1008))*-4 + -3*(sqrt(1008) + 2 + sqrt(1008) + sqrt(1008)))) + 2.\nAnswer: 192*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*sqrt(20))\/(sqrt(10) - 6*sqrt(40)))**2.\nAnswer: 288\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163613371 + 163613371 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/8)*y**(-12)*y)**(-3)\/((y*y\/(y*y\/(y*y*y*y**(-1\/4)*y*y)))**16)**(-12) assuming y is positive.\nAnswer: y**(7527\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.0155, -10, -0.1.\nAnswer: -10, -0.1, -0.0155, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 10*f - 8. Let z be l(-8). Solve 0 = 4*c + 28 - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-11)\/(-2))*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 5. Let q be u(5). Suppose 4 + 16 = q*m. Find f such that -4 + 4*f**2 - 3*f**2 + m*f - 2*f**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Suppose -3*i + 3*u - t = 0, -4*u + 0 + 4 = -2*i. Is i at least -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5 - 2 + 5*u**2 - 8*u - u**3. Let v be b(6). Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-4)\/2 + 1). Let z(q) = 30*q + 30*q + 1 + q**2 - 62*q. What is the tens digit of z(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 21132*f**4 + 126870*f**3 + 63400*f**2 - 338328*f - 253728 = 0. What is f?\nAnswer: -10572, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/25*-8*15\/(-63600)*10\/12?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7 = 5. Let f(a) = -5*a + 7*a**2 - 4*a**i + 5*a + 0*a. Let j(o) = 35*o + 21. Let u(c) = c + 1. Let h(s) = j(s) - 21*u(s). Give h(f(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/44 and -105\/14212?\nAnswer: 14212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 52\/7, 0.09, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*s - 2*i + 23, -2*s - 5*i - 9 = 0. Let o = s + 4. Let h(z) = z - 2. Let c be h(5). Put 1, o, c in descending order.\nAnswer: c, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -15.\nAnswer: -79\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3800*i**3 - 3809*i**3 + 10963*i**3 - 3368*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 - -3.9. Let d = c + -3.4. Let z = d - -0.7. Sort z, -1, 0.2 in increasing order.\nAnswer: -1, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9*p - 20 = 0. Suppose 0 = 5*r - h - 34, 0*r - p*r + 4 = 2*h. What is the second derivative of 29*a**2 - 8*a - r*a**2 - 13*a**2 wrt a?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10324 (base 5) in base 12?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 42 = -d, -6*d + 14 = -5*d + 4*w. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -171, -401, -723, -1137?\n\"Answer: -46*i**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 340178 (base 9) in base 13?\nAnswer: 71852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (10 + -8)) + -2 + 15 + 17\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94.9 - 89. Let p = g + -6. Let y = 181\/5 - 36. What is the second biggest value in p, -0.5, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2 + 67*p**2 + 0 + 7*p + 234*p**2 + 3 + 4. Let i = -1 + -1. Is v(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 2 + -2 - sqrt(15)\/(sqrt(40)\/(-2*sqrt(8))).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**4 - 3*r + 23*r**3 + 0*r - 22*r**3 - 6 - 47 + 11*r**4 as m*r**4 + d*r + j*r**2 + u*r**3 + p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 183360088337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)\/((d\/(d**(2\/5)\/d))\/d*d)*d**(1\/4)\/d**(-6)*((d**0\/d)**(-11))**5 assuming d is positive.\nAnswer: d**(3599\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/33600 - u**6\/3600 + u**4\/24 + 7*u**2. Let i(y) be the second derivative of p(y). Factor i(g).\nAnswer: g*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 - 2)*(5 - 5 + 1)*(-6 + 2 + 3 - 23*t).\nAnswer: -23*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 62. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19011*f - 1796 - 19014*f + 3558 - 1762.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 8) in base 13?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 + 1. Suppose 4*p + 4*n = -28, p + 3*n - 4*n = -5. Let x be l(p). Let m(b) = 4*b**3 - 2*b**2 + 2*b - 1. What is m(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -83. Is 34797\/u - 21\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1494, -1491, -1478, -1449, -1398?\n\"Answer: f**3 - f**2 - f - 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 + 4*o**2 + 9*o - 6. Let p be h(4). Let q = -828\/5 - p. Is -5 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b + 2. Let a(k) = k - 1. Let o(f) = 3*a(f) + i(f). Is o(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 - 287. Which is the nearest to w? (a) 0.5 (b) -2\/3 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331 divided by 6.\nAnswer: 331\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + c - c)*(-87*c**2 + 3864*c - 3864*c) - c**4 + c**4 - c**4 to a*c**3 + b*c**2 + u + k*c**4 + j*c and give k.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*13\/312).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-11 - (-2 - 1) - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2269 + -566. Suppose 659 = 2*s + t. What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = -r + 2, 2*r - 3*u - 2 = 0. Suppose 0*f - o = f - 12, 4*f - r*o = 72. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**1*y)\/y))\/y)\/y**4)**(-33)*(y**(-1\/3))**7*y**(2\/9)\/y**(-6) assuming y is positive.\nAnswer: y**(1817\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -2.3.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143\/235 - -2\/235. Let i = 0.088 - 0.588. Which is the nearest to 1? (a) -1 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738 (base 16) to base 2.\nAnswer: 11100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*h**3*l + 5*h**3*m*z**2 - 182*h**3 - 3*h*l*m*z**2 + 4*h*l*z**2 - 4*h*m - 16*h - 518*l*m*z**2 wrt h.\nAnswer: 348*h*l + 30*h*m*z**2 - 1092*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4744693 is divided by 2791?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 13 - 2. Let c(v) = -2*v**2 - 6*v + 2. Let t be c(-5). Let k be 2 - t\/(-8) - (-183)\/(-132). Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319799 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/116 or 9\/16?\nAnswer: 11\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/(-9) - (-6)\/9 - -111. Solve -12*q + 35 = g for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*l - 19*l + 9*l.\nAnswer: 234*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((41*7\/(-21))\/(9*5\/405))\/(-1)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, -1650, -2490, -3332?\nAnswer: -4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -d - 2*d + 18, z - 6 = -3*d. Suppose 5*r = z*r. Suppose r = -p - 3*p. Solve p = -x + 5 - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*x**3*z**3 + 22*q*x**2*z**3 + q*x**2*z**2 - 2*q*x**2 + 3*q - 44*x**3*z**3 - 3*x**3*z**2 wrt x.\nAnswer: -6*q*z**3 - 264*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a + 5 = l, l = -2*a + 5. Suppose l*g - 16 = g. Solve -4*p + g = -s, -4*p + 0*p = 2*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451398 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2737, 10491, 23251, 41017, 63789?\nAnswer: 91567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164695 + 80777. Suppose 14*o + 18*o - z = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -830*l + 814*l + 192 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46420 divided by 844?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 79715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-10))\/((-2)\/10). Let g = -11.1 + 11. Which is the closest to g? (a) 0 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -502*k**3*o + 923*k**3 wrt o?\nAnswer: -502*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46325*w**2 - 17746 wrt w.\nAnswer: 92650*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29482 + 29431.8282. Let f = 95.17195 + h. Let b = -45 + f. What is b rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -833.766 and 15.\nAnswer: -818.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 14*o + 1112 = 0. What are the prime factors of o?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22014 - -211?\nAnswer: 22230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5504 divided by -465.\nAnswer: 5504\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -2. Put 0, 3, n in decreasing order.\nAnswer: 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/405*(-3)\/2)\/((-5)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 (base 9) in base 16?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 44 - 126 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3258920583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14040333 (base 5) in base 12?\nAnswer: 6aa6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*k**2 + 117741*k*p + 43058*p + 25 wrt k.\nAnswer: 38*k + 117741*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/145 or -168816?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x. Let m(p) = 3*p. What is a(m(j))?\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 1 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1144573\/10437 - 6\/3479. Let i = 108 + z. Let h = -0.57 - -0.07. Which is the biggest value? (a) i (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759*b + 20929 = -873*b + 102*b + 185379 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 22*h + 41. Let k be d(10). Let r = 93 + k. What is the remainder when 221 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 2*a. Let d(p) = 2*p - 19972. What is d(v(n))?\nAnswer: -10*n**2 - 4*n - 19972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2377092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*z**3 + 2*f**2 + 14*f*k + 9*k*z**3 - 2*k*z wrt f?\nAnswer: -4*f*z**3 + 4*f + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 60 = -0*z. Suppose z*u = 11*u - 18. Suppose -5*m = 5*c - 15, 3*c + 2 = -4. Sort u, 1, m.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 215, 321, 427, 533?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 2.68. Let a = -0.5 - u. Sort -5, 3\/7, a.\nAnswer: -5, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 166. Let b(w) = 24*w + 659. Give 2*b(d) - 9*q(d).\nAnswer: -6*d - 176","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-13) + 1 - 6\/(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -856 divided by -107\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 82398360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3. Let k be (-6)\/(-8)*(g - -6). Suppose -4*d - j = -7, -7 = -k*d + 3*j - 2*j. What is the greatest common divisor of 3 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3))**(-21)\/(m**(-1))**49)**10)**(1\/5) assuming m is positive.\nAnswer: m**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 4, z: 2}. What is prob of picking 2 z and 2 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 19*z - 87. Calculate the least common multiple of 152\/7 + 2\/7 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-194 + -16) - (-14)\/1365.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 + 62*a - 1. What is d(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010957 to 5 dps.\nAnswer: 0.01096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(192) + sqrt(192)*-2 + 3) + -2).\nAnswer: -120*sqrt(3) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-2)\/(-10)). Suppose f*w - 2*w = 0. Suppose 7*h = 3038 - 3024. Solve w = 4*l - 3*l - h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + z = 3, -3*i + z = 2*i + 5. Let h = 0 + i. Is 2 - (h - -1 - 53) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k - 9*k**2 - 3*k - 6*k + (3*k + 1 - 1)*(-23 + 4*k + 15 + 9) in the form w*k**2 + a + c*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101304866 to the nearest integer?\nAnswer: 10065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 + 8*a + 2. Let r be h(-8). Let u be 1\/r - 16265\/(-2). Let l = u + -146347\/18. Find the common denominator of 97\/12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f + 22*f - 41*f - 232.\nAnswer: -f - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 34*h**2 + 120*h - 62. Calculate q(30).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, 1\/180, -2\/23, -2 in ascending order.\nAnswer: -2, -1\/2, -2\/23, 1\/180, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(7 - (2 - 1\/2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -34*b - 39*b - 5338*b**2 + b**3 + 32 + 5329*b**2. Calculate h(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(2)*1))**2*3 + (sqrt(2) - ((sqrt(320) - sqrt(20))\/sqrt(10))**2) - (sqrt(32)\/sqrt(4) + ((sqrt(24)*1)\/sqrt(12))**2).\nAnswer: -14 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1.8. Let j = z + -0.8. Suppose -177*s + 3*q = -178*s - 5, 4*q = -12. Which is the third biggest value? (a) 8 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41388?\nAnswer: 2, 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let w(j) = -2*j. Suppose 109*u - 102 + 429 = 0. Let i(n) = 4 + n + 2 + 3. Let o be i(u). Determine o*c(t) - 5*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 + 2*w + 2. Let r = 15 - 17. Let d(i) = 39*i**2 - 27*i - 27. What is r*d(a) - 27*g(a)?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-112 - (-10 + 2)) - -15) + 1?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 20. Give k(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*r - 256 - 3440 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) + (80 - 70). Let d(p) = -p**3 + 9*p**2 + 21*p - 180. Let x be d(h). Solve -3*i - x + 4 = k, 5*i - 4*k + 31 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34320983 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*b + 14, 0 = -b - 4*u - u + 18. Let y be (-9 - (-1 + 2))\/b. Suppose -4*k + 2*k = 5*p - 12, y*p = k + 9. Put k, -5, 3 in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30520)\/(-21) - 20\/15. Calculate the greatest common divisor of 48 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920758790 rounded to the nearest 100000?\nAnswer: 920800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15828*h + 31987. What is d(-2)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116 and 0.5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 33, 1, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*i - 119*i + 21*i - 4*i - i + 6*i + (1 + 0 + 1)*(-3*i + 4*i + 0*i).\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 12:23 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*n - 26, -n = 2*n - 2*j - 39. What is the remainder when (2 - 26)\/((-9)\/30) is divided by (84\/(-9))\/(n\/(-39))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4040 (base 6) to base 10\nAnswer: -888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13462 is divided by 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 + 14*l - 74. Let z be x(6). Calculate the highest common divisor of z and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129230441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**2 - 12288*c*j**3 - 141425*j**3 wrt c?\nAnswer: 8*c - 12288*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11. Suppose -4*i + 100 = -0. Let v be 1\/((4\/(-10))\/(-2)). Solve -v*f = -n*f - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300440 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 44975994\nAnswer: 224879970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1296 = -2*h, -4*h = -5*a - 9*h + 1625. Let c = 1295\/4 - a. What is the biggest value in -47, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000146 to 6 dps.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/34496 and 83\/256.\nAnswer: 137984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p + 3*n, p - 124*n + 127*n = 22. Solve 3*l - 2*l + s = -p, 2*l - 4*s - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 36*u**2 + 74*u + 84. Calculate the remainder when 53 is divided by s(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:43 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 7. Let i(q) = 21*q + 21. Let y(o) = 7*f(o) + 2*i(o). Let w be y(-6). Is (-10)\/w + 802\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*n - n + 2524, 2*n + 10 = 0. What is the remainder when 33 is divided by l\/40 - (-4)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -41342?\nAnswer: 41332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 76.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57622 + -5.\nAnswer: 57617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q**(-4\/11))\/q*q*q\/(q**(2\/43)*q) assuming q is positive.\nAnswer: q**(752\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**2 + 15*v + 3. Give u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117409643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65\/2 + -32. Suppose -2*g - 3*k - 43 = 2*g, -2*k = -3*g - 11. Let x be (-16)\/g + 4\/(-14). What is the second biggest value in x, w, 2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/42 + 4*s**3\/21 + 3*s**2\/7 - s + 6. Let y(c) = 0. Calculate c.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1*f)**(-4\/11)*(f**1)**(-4\/11) assuming f is positive.\nAnswer: f**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(3\/(45\/42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 4*u**2 + 47*u + 92. Let r be o(-2). Let y(d) = -3*d**2 + 16*d - 8. Calculate y(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13591 divided by 1.\nAnswer: -13591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c + 52*c + 2050 = -44*c - 4*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o**2 - 4*o + 3. Let x(w) = -w**3 + 13*w**2 - 10*w - 17. Calculate the remainder when g(2) is divided by x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}