diff --git "a/data/dm_maths/full_data_1/10268_11255.jsonl" "b/data/dm_maths/full_data_1/10268_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10268_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the cube root of 3978049 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u - 18. Let y be m(-6). Suppose y = 3*n - 3 - 9. Sort 1, n, 2.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20268, -20334, -20376, -20394, -20388?\n\"Answer: 12*d**2 - 102*d - 20178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*g + 7, 2*g + 7*t - 6*t = -3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40732 - -262453. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*j = -224*j + 1748 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m + 32. Let u = 2 - -4. Let o(k) = -4*k + 11. Let c(d) = u*y(d) - 17*o(d). Suppose 0*b = 4*b + 20. Determine c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c - 105. Let t = c + 65. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - 1. Let u(j) = -3*j**3 + j**2 + 6. What is h(v) - u(v)?\nAnswer: 4*v**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)*12\/(-24). Let w = 284\/189 - 2\/27. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 9?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 2\/5, -95, 2\/7 in descending order.\nAnswer: 2\/5, 2\/7, -4, -16, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.35 + -12.44. Let d = w + 27.79. Let b = -51.5 + d. Round b to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/15 - -2)*10. What is the smallest value in -6\/29, -2\/3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 10*g - 10*g + 59 - 93 + 34.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -99367 (base 12) in base 16?\nAnswer: -317bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, -9\/1945, -0.02, -21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, -4\/15, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22094071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 15*z - 5. Let n be a(14). Let g(s) = s + 13. Let r be g(-9). Suppose -3*t - 72 = -r*t. What is the greatest common factor of t and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 1.3. Let j = -122 - -107. Let d be 22\/(-8) - j\/20. Which is the nearest to 1\/2? (a) d (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1775*g**3*r*t + g**3*t**3 - 43*g**3*t**2 - 171*g*t**3 - 652*r*t**3 wrt t.\nAnswer: 6*g**3 - 1026*g - 3912*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1102577, -1102441, -1102305?\n\"Answer: 136*i - 1102713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -748 + 11?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18223 + 18214. Which is the closest to -3\/5? (a) -7 (b) 1 (c) 0.5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let v be c(-4). Let m = -3.5 - -8.5. What is the biggest value in -5, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-3 + 4)*0. What is the nearest to 0 in z, -6\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34973109 or -34973124?\nAnswer: -34973109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 6987?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a - 8*a - 14*a - a + 0 + 0 + (-3*a + a + 3*a)*(-2 + 0 + 1) + a + 3*a - 2*a + (0 + 1 - 3)*(-2*a + 0 + 0) + 0*a + 0*a + 4*a + a - 2*a + 0*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353595 and 3905?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.67 times -5?\nAnswer: -48.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39429 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 89. Let k be u(29). What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2992*r**3\/3 + 3*r**2\/2 - 43*r + 2576. Find the second derivative of a(n) wrt n.\nAnswer: -5984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1125\/42541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -4, 13, 48, 107, 196?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 228? (a) 0 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-165)*(-3)\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023 (base 7) in base 9?\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 8) in base 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19320b (base 14) to base 12\nAnswer: 3703a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 7*w + 6 = 0. What is the units digit of w\/(-9) + (-128)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/(t*t*(t**(1\/9)\/t)\/t*t*t))**28\/(((t**(-1\/6)*t)\/(t\/(t**3*t)))\/(t**4*(t*(t\/((t\/(t*(t**(-1\/8)\/t)\/t))\/t))\/t)\/t)) assuming t is positive.\nAnswer: t**(-24485\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -986, -1708, -2430, -3152, -3874?\n\"Answer: -722*x - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10101010111?\nAnswer: 10101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 7*j - 9*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**7\/42 + v**3\/2 + 4*v**2 - 8. Let f(n) be the second derivative of d(n). Find the first derivative of f(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + (12\/3 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -67134382*0.11\nAnswer: -7384782.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 - -10. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*15\/((-15)\/(-3)). Let c = w - 17. Suppose c*r = 6*r - 6. Solve -r*i = d + 18, -2*i + 2*d = 4 - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t - 196 = 0. Calculate the remainder when t is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*b - 14 - 104*b + 167*b + (-5 + 0 + 3)*(1 - 2*b - 1) - b - 4*b + 3*b as m*b + g and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 392 + -596. Let z be (-2)\/(((-8)\/(-2))\/i). Suppose 0 = 2*o + 4*o - z. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -m + 11582, 84*m - 2*a + 34746 = 87*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6209, -0.4, 4 in ascending order.\nAnswer: -1.6209, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/135 and 40\/189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -182, -201, -236, -293, -378?\n\"Answer: -r**3 - 2*r**2 - 6*r - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 8. Let c be h(16). Let r = c - -34. What is the remainder when 37 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/8 + 1\/(-4). Let g = 669959\/4 + -167489. What is the closest to g in -0.4, -2\/3, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -z - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9875*t**2 - 917*t**3 + 931*t**3 + 9875*t**2.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2 (c) 0.9 (d) -1478\/265 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*v + 300493 = 305369 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69.9 + 73. Let v = -5.8 + u. Let l = v + 2.6. Is -26 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90123, 90123, 90125, 90129, 90135, 90143, 90153?\nAnswer: 90165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(65) + (2*sqrt(65) - sqrt(65))))\/(-1*sqrt(320) + sqrt(5)).\nAnswer: 48*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 653 + -652. Let i = -5.08 - -0.08. What is the biggest value in -2\/5, i, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 - -736?\nAnswer: 65b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oononnoooooooooonoon. What is prob of sequence nooo?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*12)\/(80\/200). Suppose 0 = 5*d - 5*b - z, 4*b + 15 = 2*d + b. Calculate the lowest common multiple of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 10*p + 1. Let w = -20 - -29. Let r be d(w). Let t be (r - -8)*(2 - 3). Solve -h - 4 + t = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 - 5*y + 13. Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13811045 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138348015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14439, -14438, -14439, -14442, -14447?\n\"Answer: -j**2 + 4*j - 14442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 18 + 28 = 0. Let -209*b**3 + 3*b**2 + 212*b**3 - 13 + 2*b**l - 6*b + 5 = 0. Calculate b.\nAnswer: -2, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4746 is divided by 215.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14230 + 13195 = -45*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1179 greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -c - c - 430, 3*c = 12. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*l - 13 = -0*l, p = -5*l - 2. Let v = 25 - 20. Suppose u = -0*r - 5*r + 24, v*u = -r + 24. What is the nearest to p in u, -3, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1244*x + 136835. What is h(-110)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5838474601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 3 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**2. Let b(l) = 7*l - l - 3*l. Calculate t(b(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/3, -1\/2, -51, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbvis. What is prob of picking 1 s, 1 b, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. What is the nearest to -2\/7 in -1\/2, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:32 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {c: 2, h: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 x when three letters picked without replacement from fxcfmfccffu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:17 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12))**(-37)*(j**9\/j)\/(j\/(j**(1\/2)*j)) assuming j is positive.\nAnswer: j**(905\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 10*j**2 - 10*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c + 24*c - 2790. Differentiate 25*x + 26*x + c*x - 272 - 40*x + 90*x with respect to x.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let i(r) = 19*r**2 + 3*r. Let x(l) = -i(l) - 4*n(l). Let s(j) = -12*j**2 - 2*j. Let z(t) = 5*s(t) - 3*x(t). Determine z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6508 + 32832\/5. Let v = r - 6469\/110. Calculate the common denominator of 0 - 63\/2 - -2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*a - 607608 = 93*a. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 28. Let d be q(-13). Let w(t) be the first derivative of 0*t + 2 - t**d - 2\/3*t**3. What is the second derivative of w(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81475457 - -39.74.\nAnswer: -81475417.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - x = -0*x - 4, 2*x = -5*i + 12. Suppose 3*c - i*s = -3*s - 48, 2*s = 0. Find the common denominator of -5\/22 and 14*11\/c - 2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:21 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22107\/12 + 18\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 - 110. What is the greatest common factor of m and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -4\/5167?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*p + 0 - 3*p**2 + p**4 as y*p**4 + l*p**2 + a + d*p**3 + o*p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = 2*w - c, 12*w + 5*c - 1765 = 7*w. Calculate the greatest common divisor of 112 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386 - 383. Suppose q*i + 673 = 5*u - 1116, -u + 362 = -2*i. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 5.49062?\nAnswer: -5.39062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 11*b**5\/20 + 6*b**2 + 10*b. What is the first derivative of g(p) wrt p?\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -961.8 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 10*w - 18. Let k be p(6). Let q(g) = g**3 - g**2 - 8*g + 4. What is the tens digit of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*t + 24, -5 = 2*p + 1. Suppose k = -17 - 5. Let z be (-400)\/k - 6\/33. Calculate the greatest common factor of t and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 4 - 10 + 33 - 14 - 4.\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(9\/8)*(d\/d**(4\/13))\/d assuming d is positive.\nAnswer: d**(85\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 81*r**2 - 84*r.\nAnswer: 3*r*(r - 1)*(r + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 1. Suppose -n = q + 2, q = -4*n - 1 - 7. Let f be x(n). Find the third derivative of -f*w - 3*w - w**4 + w**2 + 6*w wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21914 - -21911. Let u = 0.07 - 0.37. Which is the closest to u? (a) g (b) 2 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let s = -6 + 8. Let q(f) = 2*f**s - 3*f + 5*f - 2*f. Calculate q(w(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, 146, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454 - 1697 - 2929 = -596*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -1\/2*l**2 + 3*l + 3. What is the derivative of x(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:45 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9780370 rounded to the nearest 100000?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60577 - 6805 + 10210 = 1661*m + 75708 for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188.3 + -182.3. Put -3\/5, -1\/2, 4, q in decreasing order.\nAnswer: q, 4, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18 + 0 + 21359 + 172.\nAnswer: 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18*i**3 - 11367*i**2 + 17013*i - 1902. Give z(630).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 14434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -39, -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(1\/2 + 0). Suppose 46*u + 9 = 55*u. Let k be 1\/2*(2 + u - 9). Put 3, k, m in increasing order.\nAnswer: m, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -88 + 103, -c - 3 = 5*s. Solve 331*g - 354*g - 23 = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-278)\/(-12) - 2\/12. Solve -d*g = 3*g + 135 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28884 and 14442.\nAnswer: 28884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94650 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -9, -160814, 1 in increasing order.\nAnswer: -160814, -10, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3640)\/(-264) + 2\/(-1). Let g = 8251\/462 - d. Calculate the common denominator of g and -101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-144)\/(-2). Let j be 12\/s + 6\/(-8). Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41 - 12*v - 45*v - 35*v - 62*v - 18*v wrt v?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31837494 - -0.837053?\nAnswer: 31837494.837053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/17, 2, -12\/5.\nAnswer: -12\/5, -6\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + 4*p**2 - 2*p**2)*((-3 + 2 + 0)*(4*p + 3*p - 2*p) - 11*p - p + 2*p + 11*p - 23*p + 19*p) in the form l*p**3 + y + d*p**2 + q*p and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95778981.9 microseconds to weeks.\nAnswer: 0.00015836471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 10*o + 12. Let x be m(-12). Suppose 3*d = x + 36. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 22. Let i be j(-7). Factor -12*d - 8 + 5*d - 2 - 5*d**2 - i*d.\nAnswer: -5*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 33 - 7 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14331*g*t**2 - 254*g*t + 1698*g - 47*t**5 wrt t?\nAnswer: 28662*g - 940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 4*z - 11400012, -3*m + 5*z = 17100015. Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/10, -1, -1\/2, -591554?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9 + 13)*(-1)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 238743*p**3 + 4749971040*p**2 + 4749732300*p.\nAnswer: 3*p*(p + 1)*(p + 39790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -1\/5, -4\/9, 0.24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2680?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12577 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*x - 160. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3348 and 107\/4092.\nAnswer: 36828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 535023433*j**3*m + 46227874*j*m - j + 2*m wrt j?\nAnswer: 3210140598*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811759758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160315 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.41*10912.\nAnswer: 899257.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (12 - 7) + 15 + (-43 - -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -407 - -407.15. What is the biggest value in -4, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.12 (b) -4 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10545 - 10398. What is the nearest to -4 in d, 0.5, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(((-356)\/168)\/(-89)). Which is smaller: k or -2648\/3?\nAnswer: -2648\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*s - 3*s. Let b be ((-3)\/(-8))\/(s\/24). Let b*z**2 - z + 0 = 0. Calculate z.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487281 = 73*x - 489982 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 427 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.44 - -0.14. Which is the fourth smallest value? (a) h (b) 5 (c) 2.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-39) - (-13)\/(-3). Let b(r) = -29*r - 6. Let v(i) = 28*i + 5. Let s(y) = f*b(y) - 6*v(y). Let m(c) = c**2. Determine m(s(t)).\nAnswer: 529*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-13 - -6) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219472 and 6408072?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 3. Determine z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -13. Let n = v + 13. Solve 0 = 2*g - g - 4, 4*g - 14 = n*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 75 = -3*p + 2*p - 83, 4*d + 30 = -7*p + 6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4999*r**3 - 3*r**2 + r + 2. Let h be y(2). Round h to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2. Let w(r) be the third derivative of r**4\/12 - r**2. Determine b(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 5*b + 60 = 0. What is the common denominator of -8 and b\/12*8\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 724, 1070, 1436, 1822, 2228?\nAnswer: 2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**8\/1120 + g**7\/112 + g**6\/30 + g**5\/20 - g**3\/3 + g. Let o(s) be the second derivative of a(s). Factor o(u).\nAnswer: 3*u*(u + 1)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64741 - 34374. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3735 (base 12) to base 3.\nAnswer: -22112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*(-138)\/(-4). Suppose 12 + z = 5*i. Let g = -3 + i. Put g, 3, 4\/3 in decreasing order.\nAnswer: g, 3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*z - 11. Suppose -9*n + 21*n = 36. Calculate the lowest common multiple of z and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 11*x**2 - 2*x + 2. Let z be b(11). Let r be z\/(-6)*30\/25. Solve 20 = r*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 2, d: 1, e: 1, m: 2}. Give prob of sequence to.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (5 - -3))\/(-3). What is the third biggest value in -2\/7, -14, 0.3, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4928 > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244)\/(-305)*((-3)\/1)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 702\/31 + -120166\/5301. Find the common denominator of b and 19\/108.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 9*h - 2. What are the prime factors of k(12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 798*y + 10 - 34 + 7 + 15.\nAnswer: -y**2 - 798*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 3173906*j**2 + 253922080*j - 5078505600 = 0.\nAnswer: -1587033, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 372026713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 3*q)*(4 - 3 + 2)*(3*q + 0 - 1 - 6*q)*(0*q**3 + 2*q**3 + 0*q**3).\nAnswer: -18*q**5 - 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.8 + -12.8. Let v = 0.05 - 0.35. Let d = v + 6.3. Sort d, -3\/2, q in decreasing order.\nAnswer: d, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.085 + 0.955. Which is the third biggest value? (a) p (b) 2 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 + 2962312*d**2 - 5924636*d + 2962320 = 0.\nAnswer: -740580, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -9. Let y = o + 9. Let p = 4.0000001 - y. Round p to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1430 and 15210.\nAnswer: 167310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccllclcllclc?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(132) + (sqrt(132) - sqrt(132)*-4))\/sqrt(11) + -3*(2 + sqrt(243)))**2.\nAnswer: 156*sqrt(3) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_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 comes next: 72, 85, 94, 93, 76, 37, -30?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(48\/(-8)))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 9*z - 7. What is the smallest common multiple of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/((-4)\/16))\/(-6). Let c = 0.1 + -0.2. What is the nearest to x in c, -1\/3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001010111110 - 11?\nAnswer: -1010001011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**2*c**2 + b**2*c - 710*b**2 + 97643*b*c**2 + 10*b*c + 249*b + 177*c**2 - 1 wrt c?\nAnswer: 10*b**2 + 195286*b + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-2 - -49) - (4 - 6). Suppose -o = 2*c - 52, -5*c - o + p + 80 = 0. What is the highest common factor of c and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/10 - l**3\/3 - 4*l. What is the second derivative of j(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261 + 9*q**3 + 3261.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-71 - -76 - (-5 - 2))) + 0 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from wyywyyyyyyyyyyyyyyyy.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 42. Suppose -15*o = -12*o - b. Which is smaller: 3\/4 or o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 and -40\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65877561 and 67389.\nAnswer: 461142927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -63263.\nAnswer: -10\/63263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*w = -140 + 157, 0 = -j - 4*w - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:16 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -19*((-2)\/(-3) - 5\/3). Let o = m + 60. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -2*v - 2*n, -6328 = 3*v - 4*n - 6211 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 1176805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -8, -1\/7, 17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**3 + 10*s**2 + 73*s + 47. Let h be v(-10). Let c be (-4)\/14 - 1849289\/(-126). Let g = h + c. Find the common denominator of 119\/66 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 - 11 + 189 + 157)*(5*l - 4*l - 2*l) to the form w + v*l and give v.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 15*f**3 + 6339*f**2 - 6379*f - 12702 = 0. Calculate f.\nAnswer: -73, -1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708356230 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*t - 12, 2*p - 36 = -2*p + 4*t. What is the remainder when 10 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 8765?\nAnswer: 876a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5*z**2 - z + 10. Let n be f(5). Let m(q) = n + 2 + q - 3*q + q. Let w be m(4). Solve 0 = -2*a + w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 8*p - 2947. Let l = 567 - p. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-56)\/(-5))*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 6. Let b be i(4). Let h = -27 - -26.6. Sort b, 5, h in descending order.\nAnswer: 5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:23 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -73*p**2 - 44*p - 4. Let b(d) = -74*d**2 - 53*d - 5. Calculate -5*b(i) + 6*y(i).\nAnswer: -68*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2092*j + 2088*j = u + 32, 5*u + 16 = -4*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-2\/53)\/(m**1)**38 assuming m is positive.\nAnswer: m**(-4029\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 0)*(2*i**3 + i - i) - 5*i**3 + 5*i**3 - i**5 + (2*i**4 + 4 - 4)*(6*i + 0*i - i).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:39 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 63\/((-1764)\/(-280))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 202.548 and -1?\nAnswer: -202.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17174596*n**4 + 8029068*n**2 wrt n?\nAnswer: -412190304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -5, -4, 58, 3, 4 in decreasing order.\nAnswer: 58, 57, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.02 rounded to the nearest integer?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 4*n + 3. Let j(i) = 9*i**2 + 7*i + 6. Let h(x) = 4*j(x) - 7*u(x). Suppose 4 = -s + 3*s. Suppose b = -s*b. Give h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11474*k - 11706*k + 20184 = 0 for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 280816 - 561672 + 280856.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z, -340*h + 343*h + 5*z - 19 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p - 350. Suppose -16*b + 13*b - 314 = 4*a, 3*a + 237 = -2*b. Let w = p - a. Is w smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 120?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 6*d - 5. Let w be s(-1). Let q = 10 + -5. Let f = q + -3. Sort w, f, 1 in descending order.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -20. What is the highest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7433687, 29734634, 66902879, 118938422, 185841263, 267611402?\nAnswer: 364248839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 + 7 - 35*p + 33*p + 4. Let k be r(-6). Suppose -2*w + 300 = -2*z, 3*w - z - k = -103. What are the prime factors of w?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*s - 392 - 448 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88975 divided by 7.\nAnswer: -88975\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*-2 - (sqrt(5)*2 + 5) - ((5 + (-2*sqrt(5) - sqrt(5)))**2 - (sqrt(5) + (sqrt(60)\/sqrt(4))\/sqrt(3) + sqrt(5)))*-2.\nAnswer: -88*sqrt(5) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-348)\/(-175))\/(84\/70). Let p(k) be the third derivative of -1\/30*k**6 + 0 - c*k**7 - 4\/3*k**3 + 0*k + 1\/10*k**5 + 1\/3*k**4 + 6*k**2. Factor p(z).\nAnswer: -2*(z - 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from dvvvvvdvvvv.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -8929301.5\nAnswer: 892930.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -7*j - 12. Let c be (j + 11)*-3 - (-1 + 66). Which is greater: -60 or c?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-2 - sqrt(325))*-2)**2 - 4*(sqrt(325) + 0) - ((sqrt(52)\/sqrt(324))**2 + (sqrt(26)\/(1*sqrt(2)))**2).\nAnswer: -20*sqrt(13) + 946634\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*d + 15 = 0, 0 = 5*b - 2*d - 2*d - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7164*y**4 + 49*y**2 + 26*y.\nAnswer: -171936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 4*p**3 - p**3 + (88 - 88 + 5*p**3)*(-4 - 22 + 50).\nAnswer: 119*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61208000 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(14)\/sqrt(2)))**2 - (4*sqrt(57)\/sqrt(3))**2.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15) - 26\/65?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -581 + 592. Solve -4*s + 27 = 3*z + 10, 4*s - l = -z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1924, -0.16 in decreasing order.\nAnswer: 3\/4, -0.16, -1924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 1, g: 1, b: 1, y: 1}. What is prob of picking 1 b, 1 m, 1 y, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45 (b) -39 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:43 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726288206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -388\/5 + 78. Suppose -21*t = 26 + 37. Suppose 3*j + 2 = 4*j. What is the closest to f in t, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207 + -208 + (6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5318666697.\nAnswer: 3, 2143, 827293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**27*i)\/(i**3*i) assuming i is positive.\nAnswer: i**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46389 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18231*w - 54507. Determine q(3).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8989 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: b\"What is the oth term of -50850847, -50850851, -50850853, -50850853, -50850851, -50850847, -50850841?\n\"Answer: o**2 - 7*o - 50850841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -133996236?\nAnswer: -13399623.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 33*k**2 - k. Suppose 48 + 54 = 6*o. What is the remainder when r(1) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = 4*u. Suppose -u*y = -20*y. Let r = 1 - 3. Put 2, y, r in ascending order.\nAnswer: r, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(39)\/(sqrt(192)*-1 - sqrt(192)))**2.\nAnswer: 39\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352 - -390) + 2584\/(-57).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p**3 - 173*p**2 + 432*p - 74. Calculate x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46033168 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 89. Solve -p = 5*f + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315 (base 14) to base 12.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1223.7 + 1292. Let h = p + -70.2989. Let k = -2 - h. What is k rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:03 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015144122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6778, 13558, 20338, 27118, 33898?\n\"Answer: 6780*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693 a factor of 324443595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*t + 97 - 389*t**3 + 390*t**3 - 97.\nAnswer: t**3 + 119*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 123. What is the closest to -1 in s, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3277.937 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.04, -4, 1, 7, 145?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:37 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 3*l - 7. Let d(n) = -n**3 - 9*n**2 + 10*n + 8. Let i be d(-10). Let m be z(i). Let a = m + -137. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*t - 24 - 28, 0 = -4*b + 5*t - 55. Let h = 9 + b. Let j(k) = -k**2 - 1. Let a(o) = -3*o - 1. Let x(g) = h*j(g) + a(g). Find n such that x(n) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 6*n + 133 = 0. Suppose -4*t = n - 11. What is the fourth biggest value in -2\/3, 0.3, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/39)\/c)**(-5\/9)\/((c*(c*c\/(c**11*c)*c)\/c)\/c*c**(7\/3)) assuming c is positive.\nAnswer: c**(2896\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781871729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -14, -12, -158 in decreasing order.\nAnswer: 45, -12, -14, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1 - (4 - -39))*14391\/7995.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 0*g + 3 - g**3 - 6*g - 10*g**2 + 9. Suppose -39*r - 243 = -12*r. Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 85*c**4\/12 - 1126*c. Let s(y) = 26*y. What is s(k(o))?\nAnswer: 2210*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 67 + 37 - 100 - 79 + 42 to a + h*w and give a.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*q**2 + 12507*q**3 - q + 1 + q + 77*q**2 - 168*q**2.\nAnswer: 12507*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4335787?\nAnswer: 4335787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 3 + 8 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 26*p**2 - 71*p - 112. Let q(b) = b**2 - 4*b - 3. Let d(t) = i(t) - 16*q(t). Let f(h) = 7*h**2 - 5*h - 43. Calculate 5*d(m) - 7*f(m).\nAnswer: m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 40 + 55. Let g = x + -14. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4293 + -29715. Let u = d - -25423.2007. Let x = -1.2 + u. What is x rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*u**5 - 39*u**3 + 171*u**2 + 365*u + 3959?\nAnswer: -6460*u**3 - 234*u + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16706 + -16706. Put -3, 15, 5, c, -19 in decreasing order.\nAnswer: 15, 5, c, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 + 4624*o**3 - 13924*o**2 - 18544*o = 0 for o.\nAnswer: -1159, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.424 or 0.70269?\nAnswer: 0.424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a + 132. Let m(s) = 20*s**2 - 980*s - 8. Let v be m(49). Calculate q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1793\/363 + (-8)\/(-132).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143 - (1*-3)\/3. Let j(z) = 2*z. Let i(a) = 21*a + 3. Let x(k) = 2*i(k) - 22*j(k). Let c be x(-6). Calculate the highest common factor of c and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*p - 4*p - 12, -p + 5*w = -17. Differentiate -1843 + 942 - 19*y**p + 944 with respect to y.\nAnswer: -38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(114) + 3*1*sqrt(114))\/(1*sqrt(600)*1).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1203*w + 1189*w - 2416*w - 1)*(3*w + 36*w - 5*w)*(5 - 3 - 4).\nAnswer: 1632*w**2 + 68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 549e8 (base 15) to base 13\nAnswer: 954c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -442 + 469. Suppose 20 = 88*t - 84*t. Solve -3*x = 15, t*x + q = -0*c - 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -14, -3, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794590459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000334446166 to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(63\/162) - -21. Solve r + 4*b = -12 + 21, -2*r - h*b + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*b = -98674, -48*b + 49*b + 98678 = 3*f. What are the prime factors of f?\nAnswer: 7, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/17, -1.94, 2\/11, -5, -4, -0.001?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2) - -1) + 60\/72?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(0 - -3) + 1. Solve r = w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*q - 17*q + 275*q**2 - 26*q**2 - 53*q**2 - 2128*q**3 wrt q?\nAnswer: -12768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhhd when four letters picked without replacement from {j: 1, g: 6, a: 6, h: 3, d: 2}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/29 (b) -1644\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 512\/17*b**2 - 1032\/17*b**4 + 134\/17*b**3 - 24\/17*b = 0. Calculate b.\nAnswer: -2\/3, 0, 2\/43, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5539 + 8650. Suppose 0 = -2*h - 29511 + k. Round h to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -744 + 772. Solve 3*s + g = 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.101085?\nAnswer: 0.101085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 178. What is the smallest value in 13, o, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21727\/3801 + -1\/543. Put 2\/7, -5, u in descending order.\nAnswer: u, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168865 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (54 - (-47 - -24 - -63)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 15 + 41)*(5*o - 5*o + 4 + 2*o) to the form p*o + g and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4860 and -149\/3402.\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2505\/161 + -108\/7. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-2 + -4 + 9) - 4 - -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*m**5 - 391*a**2*m**4 - 4*a**2 + 3*m + 2 wrt m?\nAnswer: 20*a**2*m**3 - 4692*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236637 is divided by 12735.\nAnswer: 7407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436 - 272. Suppose -3*h - h - k = 0. Let a = h + 101. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -141*l**5\/10 + l**3\/3 + 55*l**2\/2 + 3*l + 1. What is the second derivative of o(p) wrt p?\nAnswer: -1692*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (25\/(-5))\/1. Suppose -5*m = 5*w, m + 0*m = 5*w + 24. Let h be 1\/((1 + 0)\/m). Solve -h*j = -2*q, 2*q - 3*j + u = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -32, -30, -26, -20?\n\"Answer: b**2 - 3*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9266?\nAnswer: 2, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - (0 - 4\/3)). What is the nearest to 2\/7 in x, -3\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 315. Calculate the remainder when n is divided by 52.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 169323\nAnswer: 338646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21407846 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1125, 4510, 10151, 18048, 28201?\n\"Answer: 1128*i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 49, 103, 173, 265, 385, 539?\n\"Answer: s**3 - s**2 + 40*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1399*u + 1388*u = -1703867. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 228*w**2 - 294*w + 7149. Calculate r(115).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 - 249. What is the remainder when 31 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n - 7. Let h be z(5). Suppose -2*r = -4*r + h. Let o(x) = 6*x - 81. Let t(j) = 13*j - 179. Let f(q) = 11*o(q) - 5*t(q). What is f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, 5*g + 111 = -4*f - 74. Which is the biggest value? (a) -2 (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(-265))\/(6\/15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 929\/156 - 77\/12. Let s = 1597 - 1598. Put 1, s, h in decreasing order.\nAnswer: 1, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -18, -2\/13, 0.5, 211, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187676.1 litres in millilitres?\nAnswer: 187676100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(7\/(-2) + 2). Let i be ((-2)\/(-2))\/(h\/6). Suppose -59*r + 62*r = 12. Sort r, -2, i.\nAnswer: i, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:58 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2654992 = 4*t, -2*t + 15 = 19. Round s to the nearest 10000.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197 and 1881?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493 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: -10 - -4 - (-3 - (2 - 6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - 2*sqrt(180))\/sqrt(6))\/sqrt(6)*6)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Let j = i + -9. Let h = 32 + j. Solve h = 5*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 19 = -4*t, -4*t - 15 = -s. Suppose 0 = 2*x - 3*x + 4. Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 274?\nAnswer: -3288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k = 4989 - 2961. Let v = -40 - -66. Calculate the greatest common divisor of k and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 846 - 852. Let j be 480\/24 + z + 1. Solve 0 = 3*f + t - 6, -f = -5*t - 3 - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -885300*w**2 + w. Let b(o) = -o - 10. Let f be b(-7). Let x be g(f). Let n = -14367703 - x. What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -31, -4, -8, -5, 0, 11 in descending order.\nAnswer: 11, 0, -3, -4, -5, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.6 and -144115877458?\nAnswer: 144115877447.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-875)\/(-42)*(-27 + 2238\/80 + (-3)\/8).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/23606897 and -69\/34.\nAnswer: 47213794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896100 a multiple of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3225106436 - 0?\nAnswer: 3225106436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3471 is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 2*j**2 + 60*j + 73*j - 169*j wrt j?\nAnswer: -4*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-90) - 52716\/180. Suppose z - 3*z = 4*p + 338, 3*z - 5*p = -529. Let o = z - q. What is the greatest common factor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -313, 2, -1, 17 in descending order.\nAnswer: 17, 2, -1, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t - 170 = 81*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 807987.4l?\nAnswer: 807987400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110930 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8774.154kg in grams?\nAnswer: 8774154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2. Let c(w) = -7*w - w + 6*w. What is y(c(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/11 - 35312*w**3\/11 - 14166532*w**2 + 311769648*w\/11 - 155902482\/11.\nAnswer: -2*(w - 1)**2*(w + 8829)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 436?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 1605*y + 13. Let x be o(0). Suppose 5*k = 4*k + 1. Sort x, -2, k in decreasing order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 8*k - 5*h + 263 = 0, -5*h = 5*k - 435. Is k a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*u - 21179 - 40640 - 23461 = -2096 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) -34 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/175)\/((11\/(-330))\/(1\/4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -1) + 20 - (33 - -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122021 (base 9) in base 11?\nAnswer: -50373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 29. Find the common denominator of (-183)\/(-180) + l\/10 and 31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 879 + 711 = 0. Solve -4*c + 13 = -3*d, 4*c + 2*d - 10 = -z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -4. Let s = 12307 - 24611\/2. Let o = 2 + -2.4. Which is the closest to s? (a) o (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -225*g**3 - 2*g**2 + 5*g - 2. Give z(1).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5317428*l**3 - l**2 - 4*l + 1309606946 with respect to l.\nAnswer: 15952284*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 + 5\/3*l**3 + 4\/7*l**7 + 7 + 0*l**6 + 0*l**5. Find the third derivative of g(t) wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205525.\nAnswer: 5, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 26 + 15 - 39.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (78\/(-10))\/(-3) + (-4)\/(-10). Let -4*w**2 + 10*w**u - 14*w + 3 + 10*w**4 + 2*w**3 - 9 + 2*w**5 = 0. Calculate w.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - (sqrt(486) - 1*sqrt(486)))\/(4*sqrt(243)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445705 is divided by 3602?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*k + 440 = 32*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 7, 5, -4 in descending order.\nAnswer: 7, 5, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*h - 4 = 0, 4*j - 2*j + h = 2. Sort 0.5, 0.4, -1\/2, j in ascending order.\nAnswer: -1\/2, j, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) -2\/11 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300\/(-20)*20\/(-15) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i + i. Suppose -a - 3*a + 712 = 0. Let z = a + -2312\/13. What is the third biggest value in 0, i, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 greater than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 2. Let u be ((-1)\/2)\/(3\/(-47 + 5)). Let c(g) = -2*g + 1. Let n(j) = u*c(j) + 5*r(j). Let h(k) = -1. What is -5*h(q) + n(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 19.\nAnswer: 55\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 3.\nAnswer: -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 4*b + 6. Let l(k) = 3*k**2 - 3*k + 7. Determine -4*l(v) + 5*z(v).\nAnswer: -2*v**2 - 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 15. Suppose 2*j = z - 15, -z + 3*j + 12 = 2*j. Calculate h(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 + (6 - -2))) + (557 - 543).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 6*j**2 - 8*j + 9. Let i be s(7). Let a be (-1)\/i*(-3 + -3). Suppose 0*u = -a*u + 81. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*c*n*o**3 - 92*c*n*o + 93*c*n + 1108*c*o**2 + 2*n*o**3 - n*o wrt o?\nAnswer: 156*c*n*o + 2216*c + 12*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (1 + -1) - -5. Suppose -v*o + 12 = -o. Sort -4, o, -1 in increasing order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 6. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -3*((-64)\/18 - -4). Sort -5, b, -2\/499, 0.2.\nAnswer: -5, -2\/499, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*r + 1, 120*y - 4*r + 8 = 124*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*j + 2828 + 1929 = 977 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9197 - 411*o - 6244 + 2167*o - 6305 - 2*o**2 wrt o?\nAnswer: -4*o + 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3*z + 3*z)*(8 - 5 + 0) + (162 + 21 + 13)*(4*z + 0*z - 5*z) to the form f + n*z and give n.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/11 + 3704*r**3\/11 - 5010*r**2 = 0. Calculate r.\nAnswer: 0, 15, 1837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6412 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**7\/525 - o**6\/30 - 4*o**5\/75 + o**4\/6 + 3*o**3\/5 - 202*o**2. What is m in d(m) = 0?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0\/(-1))*2. Let t be (-11 + 16)*m\/2. Let w be ((t - 6) + 5)*3. Solve -5*r + w = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 37. Let i be v(-11). Let l be (i\/(-2))\/((-6)\/8). Let p = l + 44. Is 34 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2247452823 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1693\/14 + 121. Let z = -39\/154 + l. Let a = 245\/514 + 6\/257. What is the closest to 3 in a, z, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + 18*x + 911. Calculate the remainder when f(0) is divided by 86.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-35)*((-1)\/(-2))\/((-30)\/3900)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*g - 3*g + a, -4 = -4*a. Suppose -h + 4*h = 12. Let c(i) = -h + 2*i**2 + 3 + 5*i - 7*i. Give c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a - 2. Let b be p(9). Suppose -2*v + v - j = b, 2*j = -v - 88. Let z = v - -155. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 860*k**3 + 4385*k**2 - 7060*k + 3540 = 0. Calculate k.\nAnswer: -177, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-12 + (21 - 1) - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/80)\/(27\/216). Is z bigger than -0.0609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**3 + 865. Let f(c) be the first derivative of 0*c**2 + 1\/3*c**3 + 4 + 0*c. Determine s(f(m)).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.5, 12, -2, -6650?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4.4.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10975 is divided by 274.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150755156 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let -147*n**4 + 1584*n**2 - 16812829 + 16812829 + 2709*n**3 + 228*n = 0. Calculate n.\nAnswer: -2\/7, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12155*w + 108?\nAnswer: -12155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 17*q**2 + 16*q + 2. Suppose 3*z - 2*p + 40 = 0, 48 = -4*z - 2*p + 6*p. Let h be i(z). Solve h*l + 20 = 3*c, -2*c - 3*l + 2 - 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4611 in -4\/7, 0, 2\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18455*k**2*w + 24369*k**2 with respect to w.\nAnswer: 18455*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 77*t + 64. What is the remainder when a(34) is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20095 (base 10) to base 6\nAnswer: 233011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.181836 less than -0.0721?\nAnswer: 0.109736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*r - 4*r. Let o = -6 - r. Which is greater: -2\/11 or o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 30, 62, 118, 204, 326?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + sqrt(68)*2)*-5*5*-4)\/(1*-4*2*sqrt(484)))**2.\nAnswer: 95625\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -26326 - -26482. Let d(x) = -x**2 - x + 1. Let w(j) = -26*j**3 + 156*j**2 + 156*j - 156. Calculate c*d(u) + w(u).\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117164 divided by -1?\nAnswer: -117164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*x, 4086 = 2*k - 6*k - 2*x. Let j = 1472 + k. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/2 - 1653410*q + 6613648 = 0 for q.\nAnswer: -3306824, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*u + 8640 = -2230*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 + -3.68. Which is the second biggest value? (a) -1 (b) 41 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12 - (-1 - -1))*3\/(-9). What is the tens digit of 2\/(8\/186)*b\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 7664762.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (200\/(-28))\/(12\/(-42)) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*t + 2*t + 9, 2*t = 2*i + 16. Let b(u) = u**3 + 7*u**2 - u - 3. Let z be b(i). Sort -1, z, -3 in ascending order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - m + 11106, 14*m - 11082 = -3*a + 17*m. What are the prime factors of a?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-18)\/15*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-8)*-1)\/((-2)\/(-14408)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 29 = i, 231*i - 233*i - 4*c = -32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56923*b**3 + 5271 with respect to b.\nAnswer: -170769*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 19*t**2 - 16*t + 8. Suppose -385*n - 3350 = -102*n + 1744. Give k(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 8*n - 6. Let w be o(-9). Suppose -x - w*x = 2*r - 84, 3*x - 5*r - 63 = 0. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*d**2\/9 + 275180*d\/3 + 44624\/9.\nAnswer: -2*(d - 11156)*(37*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g + 4*g**3 - 34*g + 20*g to c*g + y*g**2 + m*g**3 + t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 82.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/63 and 67\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143268 is divided by 72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (494498 + 2)\/(18*(-13)\/(-3276)). Round k to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:57 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 15*c**2 - 12*c - 26. Let w be y(14). Suppose -w*j - 13044 = -4*n, 4*n + 3935 = -2*j + 16995. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-56)\/35 + 6\/10. Let a(x) = -6 + t - 5*x + 3*x + 4 + x**2. Give a(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -49*i**3 - 2*i**2. Let z(b) = -1862*b**3 - 77*b**2. Suppose -539*g = -447*g - 189 + 5. Give g*z(c) - 77*k(c).\nAnswer: 49*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.5 (c) 1 (d) 5.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -213, -407, -687, -1059, -1529?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/4 + s**4\/24 + 3*s**2. What is the lowest common multiple of 10 and x(1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -549*k + 80. Is a(-9) 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 {q: 6, z: 11, r: 1, o: 1}. Give prob of sequence ro.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 109*b**2 + 0 + 244*b**2 - 3 + 137*b**2 in the form m + u*b**2 + g*b and give u.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1589, -16.9, -2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + sqrt(63)*-3 - 2*(sqrt(7) + -1).\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204824, -411261, -617700, -824141?\nAnswer: -1030584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -70, -189, -416, -787, -1338?\n\"Answer: -6*o**3 - 5*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 23*r**2 - 29*r + 22. Calculate the least common multiple of d(-11) and 10.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.17 and -0.08361354222.\nAnswer: -0.25361354222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25*55\/(-22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140548, -281167, -421868, -562693, -703684, -844883, -986332?\nAnswer: -1128073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2025*o - 2795*o + 13 - 13 + 4820*o + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 97. Suppose -32*c - 8*c**2 - c**2 + 5*c**2 - n = 0. What is c?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 65*r**3 - r**3 + (3 + 0 - 4)*(2*r**3 + 0 + 0) + 0 - 2*r**3 + 0.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*a + 3 = 0, -5*a + 10 = 2*f - 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*u = -216, 0 = 2*f - 4*u - 29 - 187. Is f a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 6 - 204 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4437 + 1637255\/369. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*(-24 + 6\/2). Suppose 0 = 3*y - 5*y + 4. What is the first derivative of 1 - y - 3 + 17*j - a*j wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926201301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g - 6. Let b be w(4). Suppose -5*u - b*k = -0*u - 1236, -4*u = 5*k - 982. Is 249 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7 + 2 + 5*b - 2 - 3*b. Let u be h(-4). Let d = 34 + u. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.4667um to millimeters.\nAnswer: 0.8664667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 1:29 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 129, 288, 511, 798, 1149, 1564?\n\"Answer: 32*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from {e: 10, d: 2, o: 1, c: 4, q: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let j(g) = g**2 + 4*g. Let c be j(-5). Let t(l) = -l + c*l + 4*l - l. Calculate n(t(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*b - 2*y - 6, y = 5*b + 27. What is the second smallest value in -3, b, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10121210110221 (base 3) to base 15\nAnswer: -280524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:44 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 j when three letters picked without replacement from vclljjcljljjjcljjcjj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797472518?\nAnswer: 2, 398736259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -10, -1 in ascending order.\nAnswer: -10, -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*i + 2*i + 254, 2*n = -5*i + 262. What is the greatest common factor of n and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2. Let i(g) be the second derivative of g**3\/2 + 4*g. Calculate c(i(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 5, g: 8}. What is prob of sequence qxq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(22)\/(sqrt(22)\/sqrt(2))*2 - (-6*(0 + sqrt(98))**2 - ((3*(sqrt(98) + 1))**2 - sqrt(98)))).\nAnswer: 375*sqrt(2) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2882998.416 rounded to the nearest 1000?\nAnswer: -2883000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/577 + -27651\/2885. Find the common denominator of j and (-10)\/7*77\/33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*o + 28, 3*o - 18 = -6*h + 2*h. Let i = 21 - h. Calculate the remainder when (29\/5)\/((-1)\/(-5)) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71343669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + 9 + -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(364))\/sqrt(7))\/(sqrt(256)*-4) + -3.\nAnswer: -3 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 66 - 4\/45*m**5 + 4\/27*m**3 + 0*m + 0*m**4 + 1\/27*m**6 - 1\/9*m**2. Suppose c(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/12 - (-753)\/2250. Let f = -25489\/8250 - g. Is -3 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - 137. Let q(m) = -m**2 + 4*m + 7. Let i be q(c). Solve 0 = -5*x - 4*o - 37 + 9, i*x + 14 = -3*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h\/(h*h**30*h)*h*h))\/h**(2\/13))\/(h**(-2\/83)\/(h\/(h\/h**(-30))*h)) assuming h is positive.\nAnswer: h**(-1219\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**2 + 14*g**2 - 6*g**3)*(-17 + 9 - 6).\nAnswer: 84*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14482594?\nAnswer: 2, 7, 23, 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 13. Let v be r(-4). Let a be 6\/v + (-300)\/(-28). Suppose a + 52 = i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 i, and 1 s when four letters picked without replacement from oiiibsissooiiooioi?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -13.68.\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus -116?\nAnswer: 116.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2)**0\/((m*m\/((m**(-3)\/m)\/m)*m)\/(m**1*m))*m**(1\/6)\/m**(2\/7)*(m*m**(1\/3))\/(m*m**(3\/4)*m) assuming m is positive.\nAnswer: m**(-211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 + 7*f**2 - 7*f - 7. Let w be (4 + 45\/(-6))*4\/2. Let o(z) = -3*z**3 + 4*z**2 - 4*z - 4. Calculate w*o(u) + 4*c(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 16. Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/1025 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.5225 days to hours.\nAnswer: 17532.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94994 is divided by 5253.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2924 and 15050?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(-11)\/44)\/((-2)\/8). Suppose 3*o = 12, -7*o + 2*o + 26 = c*a. Solve -p + a = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -138. Is (g + 11)\/((-60)\/(-33) - 2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 - m**2 - 2*m - 1. Give n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 537950 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2737 + 974.9. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5256708701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**4 - 20*o**3 + 25*o**2 - 13*o + 3. Let v(m) = -9*m**4 + 20*m**3 - 25*m**2 + 14*m - 4. Let g(b) = -4*i(b) - 3*v(b). Find l such that g(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 0, 4*s - 2*b = -297 + 1705. Find the third derivative of 334*u**2 + 6*u**5 - s*u**2 + u**5 + 10*u**5 wrt u.\nAnswer: 1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3079\/2 or -1539?\nAnswer: -3079\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*j**3 + 236695 - 78899 - 78898 - 78898.\nAnswer: -653*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/82364 and 103\/3829926.\nAnswer: 7659852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100110000 + 1?\nAnswer: 100100100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*u**3 - 289*u**3 + 142*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**5 + f**4 - f - 1. Let k(p) = -54*p**5 + 5*p**4 + 18*p**2 - 7*p - 6. Let b(n) = -k(n) + 6*s(n). Find the third derivative of b(z) wrt z.\nAnswer: 3600*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 15 - 3. Suppose -12 = -2*m + 2*g, h*m - 5*m - 3*g + 2 = 0. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 14 = -86. Let d = n + -23. Suppose 6*m - 2*t - 202 = d*m, -5*t = 2*m - 95. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*c - 479*c = -231*c - 319 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33544 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0735 + 0.083. Round o to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1 + (-2 + 0 + 1)*(-70 + 38 - 124))*(0*g - 3*g + 0*g).\nAnswer: -471*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139, 317, 481, 625, 743?\n\"Answer: -n**3 - n**2 + 188*n - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 404021 - -335?\nAnswer: 404400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11921 >= -11921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 678416.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 31*p**4 + 4 + 80*p**4 - 3 - 27*p**4 + 39*p - 26*p**4 as s + f*p**4 + l*p**2 + j*p + b*p**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -165*d**2 - 260*d + 2. Let h(m) = 659*m**2 + 1041*m - 9. Let n(s) = -2*h(s) - 9*y(s). What is the second derivative of n(z) wrt z?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51140 is divided by 478.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15653410061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 378350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 18*b + 5*r + 156030010 = 0, b + 4*r = -52010008. What is b rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**5\/4 + 3*r**4\/4 - 19*r**2. Find the second derivative of d(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -35604?\nAnswer: -13\/3956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24bb (base 16) in base 9?\nAnswer: -13807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340291 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35318 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4aa306 (base 12) in base 2?\nAnswer: -100101001111100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 52. What is the smallest common multiple of 12 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 710 divide 896170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + 5 + (-18 - -8) - (-6 + 22)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 5) to base 13\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - 132.7. Which is the third biggest value? (a) j (b) 4.2 (c) -3\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let g(o) = o**2 + o + 1. Let p be g(-2). Let x(i) = -i + 1 + 0 - 5 + p*i**2 - 2*i**2. Determine x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476792 divided by -4.\nAnswer: -119198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1684 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388652801.\nAnswer: 2357, 164893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67)\/(-13) - (-3 + (-205)\/(-65)). Solve -2*j = -3*f + 11, -s*j - 2 = -f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 8, -4*d = y - 0*d + 20. Calculate the common denominator of 46\/(-18) + 2\/(-3) and y\/20 + (-1036)\/40.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.4. Let o = -0.9 + y. Let x = 0.1 - o. Which is the biggest value? (a) -3\/7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + 444\/48. Let x be -1 - 0 - k\/(-3). Solve 3*a = x*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9859009619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*w - 597 - 193 - 453 = -264*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57 - 1\/3*i**2 - 172\/3*i.\nAnswer: -(i + 1)*(i + 171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.111 + -1.041. Let h = 3.8 - 0.73. Let j = a - h. What is the nearest to -1 in -2\/7, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**5\/15 - a**4\/4 - 10*a**3\/3 - 7. Let s(n) be the third derivative of r(n). Let i(o) = -23*o + 17. Give 6*i(p) + 17*s(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10386 - 31157\/3. Which is the closest to m? (a) -5 (b) 18 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 229, -2, -0.9.\nAnswer: -2, -1, -0.9, -0.2, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.177 - 6.77. Let p = 2.353 - 2.2. Let o = j - p. What is o rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -17\/6. Which is the third smallest value? (a) -3 (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855\/105 - 30\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17064 = 8*g - 8384. Let r = g + -1704. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8 and (162\/(-48))\/((-10)\/(-8))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 14558 = -12810. What are the prime factors of h?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb4 - 722?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjjjrjrrrrrjr. What is prob of picking 2 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**25*g)\/g**(-3\/7))\/(g**17)**(-9) assuming g is positive.\nAnswer: g**(1256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 79. Let d = o - -32. What is the smallest value in -4, 0.4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -30. Solve -2*w - 4*p + 10 = -g*p, 3*w + 4*p + 13 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*6*((-90300)\/56)\/75\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.2 weeks in minutes?\nAnswer: 8005536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 177. Let g(k) = 2*k + 175. Give -5*g(p) - 4*i(p).\nAnswer: 2*p - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 3. Let d = -237 + 242. Let v(o) = 4*o + 15. Let s(u) = -2*u - 7. Let l(x) = 9*s(x) + 4*v(x). Calculate d*m(b) - 6*l(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 2*a**2 + a**2 + 15*a**3.\nAnswer: 15*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 9:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382911 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 13. Let r be u(14). Let x be 5*((-28)\/(-20) + r). Let h(w) = -w**2 - 3*w**2 + 10 - w**3 - x*w + 0 - 6. Calculate h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/14 (b) 4 (c) 0.5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3843*c**2 + 6577*c - 6. Let f(h) = 10*h**2 - 1. Let x(b) = 6*f(b) - t(b). Find the second derivative of x(p) wrt p.\nAnswer: -7566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2023)\/(-51) + -37)*3\/2. Solve -43*z - p*h = -46*z - 9, z = -5*h - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 97732342.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 44554420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328, -1645, -2170, -2903, -3844?\nAnswer: -4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(3 - 20\/5). Let z be (-2)\/25*-5 - (-18)\/x. Suppose -40 = -2*q - 3*q - 2*c, 45 = 2*q - 5*c. Solve -k = z*k - q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/10*(3 + 0 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoy when three letters picked without replacement from {o: 16, y: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 4 (c) -0.4 (d) 7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*k - 62, 0*k + 2*k + 5*n - 21 = 0. Let i(d) = k*d - 25*d + 13*d. Let t(x) = -8*x. Give i(t(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3255*z**2 - 39*z**3 - 3255*z**2.\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 3*x**2 + 2*x**2)*(643*x - 45 - 6 + 51) to the form c*x**2 + t*x + w*x**3 + u and give w.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23146 (base 10) in base 2?\nAnswer: -101101001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704 by -44.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54441\/18936*4\/(-46).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 730 + -724.89. Let k = 0.11 - n. Let d = -2 + 2.4. What is the third biggest value in d, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 2}. Give prob of picking 1 h and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2054*m**2 - 27*m**2 + 2.\nAnswer: 2027*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let b(z) = -519*z. Give x(b(y)).\nAnswer: -1038*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58799 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4946*h**4\/19 + 155148*h**3 - 26933354*h**2\/19 + 21780*h\/19 = 0.\nAnswer: -605, 0, 2\/2473, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-108 - -33) - 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10267780 less than or equal to -10267782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -80\/481?\nAnswer: -80\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5306 times 0.58865?\nAnswer: -3123.3769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*z - 3*d, -2*d - 5 = -3*z + 10. Solve -3*u + 8 = i, -z*i + 0*i - 4 = 2*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -927, -2006, -3477, -5322, -7523, -10062, -12921?\nAnswer: -16082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -46. What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 66. Let s = 12.4 + -14.4. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8*b = 5*b + 431, 2*r - 391 = 5*b. Let q = r - 14. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 2*c)*(3 - 1 + 0)*(4 - 2 - 3) - 4 - 3*c + 4.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 12 - 1) + (-17 - -11) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 170540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 95 (c) 3 (d) 1.3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, r: 1}. Give prob of sequence hhrh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553\/36360 + 2\/1515. Let n = j - -37\/72. Is n >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -6, 27\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3) + 0 + -9 + -23 + 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/40 + 7\/(-20). What is the nearest to 3\/5 in 1\/11, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/2*c - 9*c**3 + 6 - 57\/2*c**2.\nAnswer: -3*(c - 1)*(c + 4)*(6*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 7897*c - 221961. Calculate y(-28).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = -3*i. Let j(l) be the first derivative of l**4\/4 - l**2 - l - 2. Let q be j(i). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21067215?\nAnswer: 3, 5, 13, 108037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 39*v**4 + 7*v**3 + 41*v**2 - 7. Let u(q) = -19*q**4 - 4*q**3 - 20*q**2 + 4. Let w(p) = -4*c(p) - 7*u(p). What is the third derivative of w(k) wrt k?\nAnswer: -552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*n**2 - 2*n - 237*n**2 - 10 + 12 as r*n**2 + c + w*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 18*h**2 + 2*h + 19. Let l be t(-18). Let n = -15 - l. What is the remainder when 3 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c5577 (base 13) to base 4\nAnswer: -13001023120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:49 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*k*w*y + 27*g*w*y**2 - 5*g*w*y + 3*g*y**2 - 2*g*y + 2*k*w*y**2 + 8*k*w + w*y**2 wrt y.\nAnswer: 54*g*w + 6*g + 4*k*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41359 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (21 + (-4 - (-3 - 10)))) + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, n: 4, k: 3, c: 5, t: 1}. Give prob of sequence no.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-3 - -1) - (111 + -120).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 5*q**5 + 4*q**5 - 7*q + 13*q**5 + 7*q + (0*q + q - 3*q)*(q**4 + 2*q**4 + 0*q**4).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:19 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1420 + -2688?\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.261378 from 0.02.\nAnswer: -11.241378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:24 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 56*w**3 - 12*w**2 - 12*w + 87. Is i(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*r**3 - 20*r**2 - 1254*r**3 + 20*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.055 + -38.945. Let i = y - -47. Let d = i - 8.0004. Round d to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 3)*(-2*q + q + 0*q)*(9 - 9 - 3)*(q**3 - 5*q**3 + 5*q**3) + 0*q**4 + q**4 - 2*q**4.\nAnswer: -19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561 + 564. Let z be (3 + 2567)*(-2)\/18. Let i = -286 - z. What is the closest to 3 in i, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8, 0.1, -0.02, -2 in increasing order.\nAnswer: -9, -2, -0.02, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.5, 1, -6, 9 in ascending order.\nAnswer: -8, -6, -0.5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-2\/27))**(1\/12) assuming w is positive.\nAnswer: w**(1\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 2426744\nAnswer: -242674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2*x - 15. Let v be i(5). Suppose -v*b = -15*b - 540. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22886695 divided by -5\nAnswer: -4577339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 336921229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 566. Suppose 2*o + w = g, -9*w + 4*w = -4*o + 961. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/(8\/12). Which is smaller: x or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 1. Let u(w) = w + 12 - 9 + 14. Let b(y) = -2*p(y) + u(y). Let l be b(0). What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 + -3.3. Let h = -97 + 487\/5. Suppose x - 3 = -2*t + 2, -3*t - 3 = -2*x. What is the nearest to d in -2, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86\/9*b**2 - 2\/3 - 8\/3*b**3 - 44\/9*b = 0. What is b?\nAnswer: -3, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196116311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 101920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719383 is divided by 327.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Suppose -2*o + u + 2 = s*u, 4*u + 16 = 4*o. Suppose o*d + 40 = 24. Let m(c) = -c**3 - 9*c**2 - 8*c - 7. Give m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2659243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/22*198*25\/(-450)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 times 0.01353593?\nAnswer: -0.0087983545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 75127 = -75297 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.04298 tonnes to kilograms.\nAnswer: 82042.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1. Suppose 2*w = 5 + 5. Let x = w - 4. What is the closest to x in c, -0.2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 - 5*d - 3. Determine l(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/((2\/(-7))\/((-4094)\/23))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from ucess.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46766, -93384, -139998, -186608, -233214?\n\"Answer: 2*j**2 - 46624*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 6 = 0. Let o be (0 - 1) + (-3)\/j. Suppose o*d - 3*d + 60 = 0. Calculate the remainder when 57 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88985 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62433 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22*i + 3. Let m(g) = 8*g - 1. Calculate 2*m(c) + u(c).\nAnswer: -6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 12 = 4*l. Suppose -l*y - q = -36, -y - q - 54 = -6*y. Suppose j - y = -j. Solve -j*s - 5 = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222131 (base 5) to base 4.\nAnswer: 1321233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m + 889. Let t(v) = 4*v**3 - 42*v**2 - 82*v - 1. Let n be t(-2). What is g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:33 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 0, 11*w + k = 8*w + 11. Suppose w*s = -0*d + d - 20, 0 = -5*s. Suppose 5*z + 123 - 613 = 0. What is the remainder when z is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -75?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4227 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 36*p + 17. Is q(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -538 - -572. Does 24 divide 1677\/78*(2 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 186 = -2*y. Let d = 308\/5 + y. Let a = -0.2 - -0.5. What is the closest to d in -1\/2, a, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**2 + 11*s - 5. Let g = 11137 - 11126. Let c(q) = -7*q**2 + 6*q - 3. Suppose 1 + 11 = -f. Let m = 6 + f. Calculate g*c(y) + m*i(y).\nAnswer: y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (0 - 9) + 6 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2 - 34*t + 2. Let v(o) = 4*o**3 + 10*o**2 + 103*o - 6. Let k(d) = 7*p(d) + 2*v(d). What is the lowest common multiple of k(-5) and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, 4, 3.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 72 = 22*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -133\/3 (b) -20 (c) 1 (d) 2 (e) 0.13 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/65 - (-5924)\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 = 20. Let v be (1 - 7)\/(6\/(-9)). Let m be (7 + -1)*3\/v. Solve 0*t - u = -m*l + 4*t, 3*l = -4*t - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*i - 4*z, 4*z + 9 = 4*i + 33 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -404617657?\nAnswer: -404617657.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 297*k - 20070. What is o(-109)?\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l - 6. Give b(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -3\/20*j**5 + 0 - 43*j - 7\/12*j**4 + 0*j**2 - 4\/3*j**3. Find the second derivative of c(k) wrt k.\nAnswer: -18*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/99 + (-32)\/18. Sort -4, -3, o.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsscb. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7481 + -3036. Suppose -516*m + 521*m = p. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6434 - 2129652\/331. Which is smaller: 6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = 19*f + 8*f + 187 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 11348.\nAnswer: 5\/5674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -813491273*s**2 + 323657449?\nAnswer: -1626982546*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2602072?\nAnswer: 2, 11, 29569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/3 - p. Let t(j) be the second derivative of -25*j**4\/12 - 130*j. What is a(t(g))?\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3, -5*a - 6 = -5*f - 1. Suppose 2*g - 6 = 4. Suppose g*z + 1 = 21. Solve 4*o + z*v - 16 = a, -4*v - 4 = -0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - 19. Let b = p - -249. Let y = 107 - b. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, m: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18 and 57\/27376?\nAnswer: 246384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57891 - 290398\/5. Let l = y + 882\/5. Calculate the common denominator of l and 19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10048.5044 rounded to the nearest 100?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*q - 7, 2*w + 9 - 1 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, -118.435 in descending order.\nAnswer: 4, -0.5, -118.435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(891) + (sqrt(44)\/sqrt(4))**2 + -1.\nAnswer: 10 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833322.\nAnswer: 2, 3, 7, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 5*f + 4*f)*(2 + 3 - 3) - 504*f - 311*f + 224*f + (1 + 2 - 2)*(f + f - 4*f) + 0 - f + 0 - f + f + f to y*f + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by 4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 53*q - 115. Give l(51).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 43*k - 143. Let o(x) = -9*x**2 + 2*x - 7. Let l(f) be the first derivative of -19*f**3\/3 + 2*f**2 - 15*f - 3. Calculate k*o(t) - 6*l(t).\nAnswer: -3*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 27, 10.59 in descending order.\nAnswer: 27, 10.59, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4265239*-0.4.\nAnswer: -1706095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2082 and 24\/11.\nAnswer: 22902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plnpss. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + s**3 + 2*s**3)*(17 + 8*s - 17)*(s - 2*s + 0*s) + (0*s**5 + 3*s**5 - 5*s**5)*(1 + 12 + 0).\nAnswer: -42*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52257*p**5 - 2*p**2 - 20188*p + 1 wrt p?\nAnswer: 1045140*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*g + 179222 - 33434, -5*x - 5*g + 182305 = 0. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -0.1, 5, -2, -0.4, -663\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 68 + 239)*(t + 0 + 0)*(2192 - 2192 - 50*t) to the form f*t**2 + u*t + m and give f.\nAnswer: -11850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 192491 (b) 0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -479 + 494. Suppose z*s - 4*d + 53 = 20*s, -3*d - 30 = -4*s. Calculate the greatest common factor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woenwwnynnww. Give prob of sequence wweo.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -95*i - 77 + 1177 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*k**2 - 4*k**4 + 0*k**3 + 0*k**3 - 175*k**2 + 355*k**2 - 128*k wrt k.\nAnswer: -48*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007237 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -188 + 187 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60154985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31120 + 303221220?\nAnswer: 303313000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*j**2*k - 2*i**2*j**2 - 100*i**2*k - 33855*i*j**2 + 19*j - 380*k with respect to k.\nAnswer: i**2*j**2 - 100*i**2 - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47268748?\nAnswer: 2, 107, 110441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-51) + (-12)\/4 + 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 7*z**2 + 1 + 4*z**2 - 8*z**3 wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35701093 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215431 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466*h - 27 = 2457*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - n + 18, 23 = 4*s - 4*n - 5. Solve 4*f + 4*t + 12 = -0*t, -f + 9 = -s*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -120*m - 3011. What is x(-25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 13 + -22 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 14, z: 1}. What is prob of picking 3 s?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + o + 3377. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 2494, 6869, 13322, 21847, 32438?\nAnswer: 45089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 3. Let i = -3 + -1. Let y be t(i). Let f(b) = b**2 + 5*b + 7. Calculate the lowest common multiple of f(y) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 477 = -7229. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -672*i + 85067. Is f(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5 + 7*v + 72*v**2 + v**3 - 72*v**2. Let f be d(7). Suppose f + 186 = 3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 - 11*v - 10. Let b be t(-8). Suppose -7*f + b*f - 49 = 0. Let l be f\/((-7)\/4) - (-1 - 3). What is the nearest to -2 in -0.2, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.3 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11170680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2155 - -745. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40*2*2\/(-2). Let j = 86 + d. Solve 2*s - 16 = j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 - 75*r**2 + 32*r + 62. Give s(-9).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4 - ((-427)\/14 + 19). Solve 7*q - 22*q = a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 + 2*b - 3. Let k be l(-5). What is the highest common factor of k and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 144, 283, 450, 657, 916, 1239, 1638, 2125?\n\"Answer: 2*t**3 + 2*t**2 + 119*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (51\/(-12) + 4)\/(6\/24). Let n = 1\/3 - -1\/24. Let w = 4.9 + -4.7. Which is the closest to w? (a) t (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2924*f + 23399. Determine a(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 12*u - 5*u**2 + 5*u**2 + 5 + 13*u. Let d be q(4). Calculate the highest common divisor of d and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 679 + -675. Calculate the smallest common multiple of 160 and 1\/(r\/(-1)) + 6615\/60.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -166054?\nAnswer: 166062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*g + 100 - 201 = 1150 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*h + 62. Let p be h\/(-12) - 11\/66. Suppose 3*n - 15 = -5*q, 2*q + p*n = 6*q - 12. Solve 0 = -q*c + 5 - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -0.1 (b) -19 (c) 0.6 (d) -0.4 (e) 7 (f) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -210a?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + g + 15, -4*g = 2*i. Let m be i\/((-1)\/62*4). Suppose 2*n - 8 = 0, -25 = -3*l - 4*n + m. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 289*f**2 + 379*f**2 + 149*f**2 + 8*f - 97*f**2.\nAnswer: 720*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 17*a + 10*a + 19*a - 49 - 2*a**2.\nAnswer: -2*a**2 + 42*a - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/16 and 79\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 634*z + 100489.\nAnswer: (z - 317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/22)\/k))\/(k*k\/((k*k**(-15\/2))\/k)))\/(((k**(-2\/29)\/k)\/k)\/(k**(-6\/11)\/k)) assuming k is positive.\nAnswer: k**(-2240\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**4 + 426*y - 652.\nAnswer: -8*y**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 1. Let g be a(2). What is the second derivative of 2*m + 0*m + g*m**3 - m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564525720 and 2745.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 202.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*-8*(-3)\/(-6) - -194 is divided by ((17 - 6) + -6)*(1 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 177*x**3 + 19*x**2 + 3*x - 2. Let r(y) = -175*y**3 - 16*y**2 - 2*y + 2. Give 6*r(t) + 5*s(t).\nAnswer: -165*t**3 - t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(3\/2 - 1). Suppose -p = m*p - 124. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36970?\nAnswer: 2, 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2193430, 2193413, 2193396, 2193379, 2193362?\n\"Answer: -17*d + 2193447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1386\/2079 + 1\/(12\/(-14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ajappjapjjajaajaaff?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -4*d, -208*d + 213*d - 5 = 4*z. Solve -c - 15 = -206*s + 201*s, d*c = 2*s - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - i + i)*(i - 6*i + 3*i) + (-3 - 4 + 5)*(5*i - 2*i**3 - 5*i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -57. Let q = -13 + z. Sort q, 4, -2.\nAnswer: -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 212.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312031 is divided by 1668.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -150d (base 15) in base 13?\nAnswer: -2092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9815*m + 98451. Calculate z(-10).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 930.9 - 777.46. What is o rounded to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 22*f**2 + 165*f + 373. What is x(-8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + k**3 - k + 4*k to the form d + w*k + i*k**3 + z*k**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 5*i + 15. Let l = -16 + i. Suppose l = -311*p + 315*p - 844. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 - 10*k**3\/3 - 5*k**2 - 13*k - 1. Suppose 8*j = -67*j + 211 + 719 - 105. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 + 5*d**2 + 1 + 3 - 2 wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17255236 divided by -4\nAnswer: 4313809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 725 - 734.05. Let a = 9.55 + h. Is -13 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*a + 2*o, -a + 6 + 5 = 2*o. Let m = -9 + a. Suppose -15 = 5*i - 4*v - 56, -i + 25 = -5*v. Solve i*c - 2*t - 30 = 0, m*t + 5 = t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574 and 17712?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 2688?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6162 and -41170.\nAnswer: -41170.6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 298452878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 32161\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24721680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i - 3*h, 374*h = -377*h + 746*h + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**4 - 4*t**4 + 5*t**4 + (5*t - 5*t - t**3)*(-5*t + 3*t + t) + 0 - 4*t - 6 + 3*t + 3*t**4 in the form d + b*t**4 + x*t + q*t**2 + f*t**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:08 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.89 + 1.79. Let d = -15.02 - r. Let z = 0.08 - d. Which is the nearest to 0? (a) 4 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5380 by 4.\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4057\/207 - 300\/23. Find the common denominator of 7\/15 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 8304.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(450) + (sqrt(450) - (sqrt(450) + 1*sqrt(450)))*-2))\/((sqrt(432)\/sqrt(32))\/(-3*sqrt(54))))**2.\nAnswer: 3645000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -320, -321, -322, -323?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 8506.\nAnswer: 1497056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u + 71. Let x be y(0). Let p be (-3 - (-8 - -4)) + x. Let l be 3 + ((-2)\/7 - p\/(-56)). Solve 0 = -2*h - 0*h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:47 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g)**27\/(g**7*g**6)*(g**(-2)\/g*g**(-1\/3))\/(g**0\/g)**(-45) assuming g is positive.\nAnswer: g**(-353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 707*r - 698*r - 2574. What is the remainder when r is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6491 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726492.\nAnswer: 2, 3, 13, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 + 1 + 0 - 9704*v + 9701*v. Let a(s) = -5*s + 3. What is -5*a(o) + 8*p(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 244866182?\nAnswer: 244866179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319531 and 1169151?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*v - 53 = -3*v, -3*x = -4*v - 122. Suppose 2*z - x + 10 = 4*a, -3*z + 21 = -3*a. Factor 0*y**2 + z*y**3 + 4 - y**3 - 4*y**2 + y**2.\nAnswer: (y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2. Let a(b) = -250*b + 6. What is -a(n) - 3*z(n)?\nAnswer: 250*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.020271 and -1481?\nAnswer: 1480.979729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + j + 1. Let n(l) = -1361*l**3 + 24*l**2 + 114*l + 11. Let o(x) = n(x) - 8*r(x). What is the second derivative of o(p) wrt p?\nAnswer: -8166*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53079956.\nAnswer: 2, 89, 149101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 70 + l - 30 - 21 - 4*l - 36. Let c(m) = m + 8. Calculate -5*c(u) - 2*g(u).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.71 - -33.6. Put -0.21, t, -2\/9, -3 in descending order.\nAnswer: t, -0.21, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 8*b**2 - 2*b + 3. Calculate g(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 4*v - 7. Let r(k) = -k**2 + 2*k - 4. Suppose z = -3*a + 9, 0 = z - 2 + 5. Determine a*c(f) - 7*r(f).\nAnswer: 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 4*b + 2*b)*(2 + 1 - 6) + (-3 + 1 + 3)*(-2*b + 4*b - 3*b) to the form r*b + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 716378 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.026401166309.\nAnswer: 0.073598833691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 58*w\/9 + 20\/3.\nAnswer: -2*(w - 30)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-330)\/(-10) + (-4)\/(-1). Let c = r - 34. Solve 0*k + 0 + 2\/5*k**4 - 4\/5*k**c + 2\/5*k**2 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 25. Let l = -11 + 15. Solve -t*s + 0 = l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27916774 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/8 - 3\/(-2). Let o be 0\/(-1)*(-2)\/(-4). Suppose -2*f - 2 = o, -3 = -3*u + 2*f - 5*f. Which is the closest to l? (a) u (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 3*h**2 + h - 2. Let f be m(3). Does 3 divide ((-33)\/(-3) - 2) + f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:26 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 16*k - 82. Solve 3*m - 3*a - 9 = k, 2*m - 29 = -3*m - 2*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.9 - 0.9. Let o = v + -9. Let i be 9\/(-18)*(-4)\/9. What is the nearest to o in i, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 22*q**3\/3 - 35*q**2\/2 - 43. What is the second derivative of g(f) wrt f?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12408\/17 - -730. Suppose -15 = 4*p + 1. Let o be (-2)\/p*1*0. Is o > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*0.3\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/((-6)\/9). Let l be (3 - 3)\/((-2)\/r). Suppose l = 2*b - 127 + 7. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q**(-2\/39))\/(q**10)**(28\/9) assuming q is positive.\nAnswer: q**(-2359\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 3*d**5\/20 - 20*d**4 + 616*d**3 + 23232*d**2 - 3*d - 61. Suppose m(f) = 0. What is f?\nAnswer: -8, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/3)))**(2\/67)\/(z\/(z**0\/z)*z**(-5)))**12 assuming z is positive.\nAnswer: z**(2420\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11 + -3452*(11 - 13) - 10 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(170)\/sqrt(10))*6 - -3*(2*sqrt(272))**2).\nAnswer: 6*sqrt(17) + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.5. Let o be (3 - 35\/14)*20\/(-2). Let l = -185 + 922\/5. Put l, o, r in ascending order.\nAnswer: o, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-43)\/9 - (22 + -18). Put h, -1, -4 in descending order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c**2 - 2 + (0*c - 3*c + c)*(-5*c + 2*c + 4*c) + c - 2*c**2 - c - 3*c + 3*c + c**2)*(-44*c**2 - 44*c + 44*c).\nAnswer: 220*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4785))\/(653624\/(-108938) + 6). Let h = k + -8\/957. Calculate the common denominator of h and 2\/6 + 46\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -231, 0, 5 in descending order.\nAnswer: 13, 5, 0, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*x - 1405*x + 870*x + 20980.\nAnswer: -2*x + 20980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467834.579 + 42220.\nAnswer: 510054.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = 95*k + 261*k + 3418 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i - 94. What are the prime factors of j(27)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21317, 43029, 64751, 86489, 108249, 130037?\n\"Answer: b**3 - b**2 + 21708*b - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1463553 - 862426. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -118*i**2 + 1205*i - 8396. What is d(7)?\nAnswer: -5743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((1134\/168)\/27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 301, 452, 603?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {h: 3, d: 1, m: 12}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.558 + -8.442. Which is the closest to -0.2? (a) -0.5 (b) k (c) 15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/3? (a) 1 (b) 4 (c) -2\/9 (d) -804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:25 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (-8)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30729 (base 10) to base 15\nAnswer: -9189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4244*q - 24 + 9 = -4239*q, 0 = u - 3*q + 3 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 211684446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109397576.\nAnswer: 2, 47, 131, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**8\/336 - 1609*w**6\/60 - w**5\/30 + 155*w**4\/24 - w**3\/6 + 87*w**2. Find the third derivative of a(q) wrt q.\nAnswer: 60*q**2 - 19308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2652 - -2807. Let c = 0 - -26. Calculate the remainder when t is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1436 + 6?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 64*q - 1605. Calculate z(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 534833910 divided by 9210?\nAnswer: 58071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 797308501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:12 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(-6 - -4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 + 17*l + 44. What is a(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -2. Let o = 1 - d. Sort o, 3, -2.\nAnswer: -2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3*y**2 - 2*y**3 + 1\/2*y**4 - 2*y - 1. Factor l(i).\nAnswer: 2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -451*a**2 - 6841*a - 1139. Determine i(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4)\/p)**20\/((p*p*(p*p**(-4)\/p*p)\/p*p)\/p**(-2\/7)) assuming p is positive.\nAnswer: p**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80418631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-11*y**5 - 19*y**5 + 32*y**5 - 2192*y).\nAnswer: 4*y**5 - 4384*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 56.974\nAnswer: 17.0922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**10*t*t*t)\/((t**(-5)\/t)\/t) assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428307?\nAnswer: 3, 11, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 33*l - 2. Let n(p) = p**2 + p - 1. Let x be n(-4). Let o be k(x). Let i be (-11)\/11*(o - -2). Solve -2*d + 5*d = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.193? (a) -0.3 (b) 2\/7 (c) 431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-16)*436\/1)\/(37\/296). What is the greatest common divisor of 9810 and v?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3 + 30 - 5 - 7 - 11 - 3. Let o = -6 - -9. Let n(f) = -4*f - f - 5 + o. What is -3*i(s) - n(s)?\nAnswer: 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 47*w**2 + 147*w + 144. Calculate h(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + 5*n**2 - 10*n**2)*(-n**2 + 0 + 0 + (-6*n + 3*n + 4*n)*(n + n - 3*n)) + 58*n**4 + 1384*n**3 - 1384*n**3.\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5, -5*k + 0*o = -3*o - 103. Let g(j) = 3*j**2 - 3*j. Let h be g(2). Let v = 13 - h. What is the remainder when k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-88))\/((-870)\/(-880440))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 24*k - 20*k. What is the remainder when 104 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:39 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/(-33)*14\/105. Sort 2, 40, a, -1\/7 in descending order.\nAnswer: 40, 2, a, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fsuufffsubfsf.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*d + 270 = -115*d + 269*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 11*p - 50. Let v be g(14). List the prime factors of -7 - (5 - 1731) - v.\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) - (sqrt(171) + sqrt(171)*1)) + 3*sqrt(171)*2)\/(sqrt(3600) + 3*sqrt(3600)*-3).\nAnswer: -9*sqrt(19)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - 247*g**2 + 342*g**2 - 96*g**2.\nAnswer: -4*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4))**(-21\/5)\/(u**(-11\/6)\/u**14) assuming u is positive.\nAnswer: u**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.344, -0.2, 0.2.\nAnswer: -0.344, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 0, -4, -385 in ascending order.\nAnswer: -385, -4, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/1092)\/(18\/42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824194019 to the power of 1\/2, to the nearest integer?\nAnswer: 42711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 8488*d + 9005768.\nAnswer: 2*(d - 2122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -41*d**6\/10 + d**4 - d. Find the third derivative of u(y) wrt y.\nAnswer: -2952*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**3 + u**2 + 2*u - 7. Let h be y(5). Suppose -h - 359 = -4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003532623789 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 + g - 3. Let v be a(3). Solve 11 + v = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*(sqrt(63) + 0) + sqrt(63))**2 - (sqrt(63) + (sqrt(7623) + 0)**2 + sqrt(7623) + 1 + sqrt(63) + -4).\nAnswer: -7623 - 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300)*-1 + sqrt(3300) + sqrt(3300))*4)\/((-2*sqrt(33) - sqrt(33))\/sqrt(3) - (sqrt(121) + -1*sqrt(121))\/sqrt(11)).\nAnswer: -40*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 845750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10535*i**3 - 15486*i.\nAnswer: -63210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1, -0.1685?\nAnswer: -0.1685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 6 + 76)*(-11*s - 16*s + 4*s)*(5 - 1 - 5)*(-s**2 + 2*s**2 - 3*s**2) as o*s**3 + k*s + t*s**2 + g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5 - 1\/40*f**5 + 3*f + 0*f**2 - 1\/12*f**4 + 0*f**3. Let r(m) be the first derivative of v(m). Suppose r(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 7*f + 0*f + 24 + 2*f**2 + 2*f. Is v(-9) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111111 - 11011011100?\nAnswer: -11010122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10105 + 1825 = -20*z. Suppose -416*w + z*w = -500. Calculate the greatest common divisor of 20 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.63 + 63.\nAnswer: 68.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.53 - -1.53. Let r = f + 28.16. Round r to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3596 - 2529 = 243*y - 292*y for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqlbqqldld. What is prob of picking 2 q and 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -2, -589.\nAnswer: -589, -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*b - 29*o + 32*o, -2*b - 8*o - 166 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152399 and 3743?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347 - -423. Suppose -32*p + l = -148. Calculate the smallest common multiple of p and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/29)*(y**(-6\/19)*y)\/y)\/((y*y**(-26))\/y**19) assuming y is positive.\nAnswer: y**(24108\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(4*u - 2*u + u)*(4*u**3 - 3*u**3 + 2*u**3) to l*u + d + s*u**2 + m*u**3 + h*u**4 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237 and 29.\nAnswer: 6873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -7*w**5\/20 - 17*w**4\/24 - 11*w**2. Find the second derivative of t(z) wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 3*v + 44, 44 = 4*u - 2*v. Suppose 1 = -5*h + u. Let l = 6328 + -6328. Is h equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364 + 643. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 63662400?\nAnswer: -1\/63662400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7285 = 16*l - 79253. What are the prime factors of l?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in 28, 2\/15, 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 2*t**3\/3 - 11*t**2 - 5*t - 25. Let f be (-3)\/(((-27)\/(-48))\/(-3)). Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3 - (-63)\/(-20)). Suppose -3*l - a + 29 = 0, -4*a = -4*l - l + o. Suppose 3*h + 455 = l*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 140 = 11*u. Solve 3*k + 10 = u*p - 4*p, p + 2*k = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12328, -12327, -12326?\nAnswer: -12325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (576\/(-30)*(-650)\/(-1365))\/((-2)\/7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, -218, -5, -2 in decreasing order.\nAnswer: 3, -1, -2, -4, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*y - 23 - 17 = 0, 3*b - y = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52912536049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54*(3 - 18\/12). Let m(y) = k - 3*y - 85 + 2*y. Give m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -2f?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 217 = 16*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33803479 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*-1*-2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0285 at least -15.196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241\/1386 + -1\/126. Put -0.3, n, 5\/3 in decreasing order.\nAnswer: 5\/3, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14)**(-18) assuming h is positive.\nAnswer: h**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 216 = -3*f, 7 = -3*f + 2*k - 209. Find the common denominator of (47\/7)\/((-18)\/(-7)) and (-2)\/9 - (-764)\/f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5288074\/3 or -1762692?\nAnswer: -1762692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4331 - 34204?\nAnswer: -44040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*z + 21, -11 = 3*n - 28*z + 24*z for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51294 is divided by 16912.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 248615676 smaller than 248615672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + ((-3)\/24 - 1595\/(-88)). Which is smaller: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -159.\nAnswer: -1749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18277528663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 267379 or -0.047?\nAnswer: 267379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 2:30 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2211 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 6*h**2 - 3*h - 12. Let z be v(-6). Solve -2*r = r + z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -5 - 25) + (6 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12585, -1, -64.\nAnswer: -64, -1, 12585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -270926\/33 - -8212. Let t be (-22 + 2)\/(-5) - (-3296)\/(-212). Let a = t - -14779\/954. Calculate the common denominator of u and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 800.84 + -1208.8. Let t = b + 408. Put 2\/13, -0.3, 3\/14, t in descending order.\nAnswer: 3\/14, 2\/13, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d*i**2*w**2 - 34*d*i**2*w - 2*d*i**2 - 237*d*i*w**2 + 25*d*i*w - 4*d*w**2 - d - i**2 - 46*i wrt w?\nAnswer: 22*d*i**2 - 474*d*i - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (-21)\/(-7) - (1 - 0)*103\/103.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113241348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 b when three letters picked without replacement from {j: 1, n: 7, b: 4, u: 1}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.92 + -0.08. Sort l, -2\/9, 2\/5 in ascending order.\nAnswer: l, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 51*v = 249, h - 2 = 4*h + 76*v - 80*v for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 14*i. Let r be o(14). Suppose -f - 3*f + 4 = 4*l, -l - 2 = r. Solve 3*v + 4 = -5*g, f*g + 2*g = 4*v + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 15. Let k be (-16)\/(-20) + 89\/(-5). Let s(p) = -11*p. Let h(a) = -4*a. Give k*h(t) + w*s(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1399464 - -3?\nAnswer: 1399467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 114921*o\/5 + 23535834.\nAnswer: -3*(o - 998)*(o + 39305)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 45, 41, 35, 27, 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(x\/(x*(x*(x\/(x**(-5)*x))\/x)\/x*x))*x**(2\/15)*x\/x**2)\/((x\/((x\/x**(-2\/13)*x)\/x))\/(x**(-4)*x))**15 assuming x is positive.\nAnswer: x**(-8689\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.98 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153564 - -315.\nAnswer: -153249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2628*y - 57786. Give p(22).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133832 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000356196854 to 5 decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/100386*-52)\/((-14)\/77)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -1. Let c be -10*(-2 - x - 1). Let k = 61 - c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -75349?\nAnswer: 3\/75349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mymymmmymm. What is prob of sequence myym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1782 and 280452942?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 15. Let k be u(-7). Let n be 2*(-2)\/1 + 1. Put k, n, -1\/9 in decreasing order.\nAnswer: -1\/9, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -4.02. Let x = 177728 + -177730. What is the second biggest value in a, x, -4.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122790821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, 51 in descending order.\nAnswer: 51, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -0.7 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/5)\/((-3)\/(-10)))\/(90\/(-27)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3305 + -1034?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 14 + 22. Let z(d) = 4*d + 1. Let p(v) = v - 8*v - 4*v - 3. Give b*p(r) - 17*z(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2045587, 2045589, 2045591, 2045593, 2045595?\nAnswer: 2045597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4 - 1. Let v = -1 + h. Let d(a) = a + 2*a**2 + 0*a**v - 7*a**2 + 1 - a**3. Give d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:35 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose -n*f + 2*f = -4. List the prime factors of 0 - (-5 - -3 - f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11685765 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16*1\/6)\/(10\/(-75)). Find the second derivative of -103*u + 245*u**2 + 183*u - b - 83*u wrt u.\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/20 + 103*g**4\/3 - 827*g**3\/6 + 207*g**2 + 2605*g. Factor h(d).\nAnswer: (d - 1)**2*(d + 414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/3 + 4*a**3 + 16*a**2\/3 - 20. Factor k(l).\nAnswer: 4*l*(l + 1)*(l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -7 - 11 - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n - 20, -v + 4*n = -28. Put 0.05, v, -2 in increasing order.\nAnswer: -2, 0.05, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*36\/(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(252)*-5)**2 - ((-3*sqrt(70) + sqrt(70))\/sqrt(10))**2.\nAnswer: sqrt(7) + 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/4)\/(9\/(-2)) - 226\/3. What is the second biggest value in -3\/5, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0 + 0)*(o - 3*o + 4*o)*(3240*o - 508*o + 2169*o - 2).\nAnswer: 9802*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u - 17*u**3 + 0*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**2. Let s(j) be the second derivative of 149*j**3\/6 + 2*j - 43. Calculate g(s(i)).\nAnswer: 155407*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 17*l**4\/12 - 33*l**2\/2 - 37*l. What is the derivative of c(z) wrt z?\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.403133 days to minutes.\nAnswer: 580.51152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**2\/2 - 1. Let q(l) = -1. Let k(m) = 0*m**2 - 3*m**2 + 190 - 189. Let w(t) = k(t) + q(t). What is p(w(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/3 - 1315*j**2\/2 - 1314*j - 2843. Suppose w(s) = 0. What is s?\nAnswer: -1314, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-2)\/b*b))\/b)\/b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((6 + 52\/(-8))*6). Let s(d) = -41*d**3 - d**2. Give s(f).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8379265379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:21 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23854 + -23853. Let z = 20 + -20.03. What is the closest to 1 in z, -5, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1442*i - 5510. Give w(4).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 + 68 = 5*j + 4*x, -5*x = -j + 98. What is the tens digit of j\/8 + (-6)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -j - 17*g, 2*j + 4*g + 42 = 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -102. Suppose 0 = 2*k + h + 17, 4*k = 4*h - f - 25. Let w(o) = o**3 + 13*o**2 - 8*o + 1. Is w(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149.22 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v**(-6))\/v)\/v)*v)\/v**(-6) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 444010 (base 8) to base 6\nAnswer: 3112104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 8476245 + 4238126 - 42*d - 8*d + 4238119.\nAnswer: -53*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.2 + 21.5. Let r = 0.5 - 0.3. What is the nearest to 2 in -0.4, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/3))\/u**(-1)*(u*u\/(u\/u**(-7)*u))\/(u*(u\/((u*u**(-9))\/u))\/u*u) assuming u is positive.\nAnswer: u**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-352))\/(288\/(-1152))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2. Let x(s) = 24 + 21 - 70 + 15 + 22 - 2*s. Give p(x(m)).\nAnswer: 24*m**2 - 288*m + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270813795 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -576*m**5 - 5856*m**4 + 3068*m**3 + 113528*m**2 + 18844*m + 784 = 0.\nAnswer: -7, -1\/12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -39. Suppose -5*n + j = z + 26, 5*z + 3*n + 12 = 0. Solve 2*h + 1 + 3 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j**2 + 9*j + 9. Let k be q(-4). Let h = k - -29. Suppose h*y + 3*g - 116 = 2*g, -3*y = -4*g - 152. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b988 (base 16) to base 6\nAnswer: -3454412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -59708.\nAnswer: -1\/59708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from ehkkkbkkbgbghbkbbkg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n*o*u**3 + 8*n*o*u**2 + n*o + 52*n*u**3 + 76*n*u + 7*o*u + 2*u wrt u.\nAnswer: 6*n*o*u + 16*n*o + 312*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2135*t**4 + 10*t**3 - 181283 wrt t?\nAnswer: 8540*t**3 + 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, e: 1}. Give prob of picking 3 e and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:53 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -1. Suppose 5 = g, -4*v + 5*v + 4*g - 38 = i. Put 5, v, -3 in descending order.\nAnswer: v, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20986 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {o: 17, v: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349450901?\nAnswer: 349450901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 13*a**3\/6 - 15*a**2 + 15*a. Let o be f(6). Let j be -3*4\/6*-16. Calculate the highest common divisor of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -9. Let k = 47 - 26. Let z = k + j. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 13, r: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -0.0907923?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -18. Solve y = 5*b + 3*d - 16, 3*b = -d - d + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94363 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 76. Let b = -101 + 103. Solve o - r = b*q - 0*q, 15 = o + 5*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-1)\/(14\/4 - 1)). Put 0, 5, f in decreasing order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -67 (b) 0.04 (c) -1 (d) -4\/17 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/10080 + u**6\/720 + u**5\/120 - u**4\/4 + 5*u**2. Let c(p) be the second derivative of b(p). Solve c(x) = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75, 278, 615, 1086, 1691?\n\"Answer: 67*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 424 + 181 = 0. Let w = -115 - d. What is the smallest common multiple of w and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1467, -1466, -1465?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*c = -11532 + 6282 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**48\/(g\/(g\/g**(1\/7))*g*g\/(g*g\/g**8)*g)*((g*g**(-2\/37))\/(g\/(g**(-2\/5)\/g)))**(-7\/9) assuming g is positive.\nAnswer: g**(466061\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 - 282. Let u be y*((-18 - -17) + (-2)\/(-1)). Solve u = -5*c + 28 - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*i = -27 + 1, 4*f - 3*i = 21. Calculate the least common multiple of 48 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54409833 rounded to 4 decimal places?\nAnswer: 0.5441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1126)\/(-12949) - (-2310)\/(-115)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q + 20. Suppose -q*t - 3*t + 238 = 0. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from citgibxtibt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -73469?\nAnswer: 73465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -73*h - 9. Let y be k(-1). Suppose -3*m = 22 - y. Calculate the remainder when 26 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -1, 26, 75, 152, 263, 414, 611?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -3013 and -3013 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*40\/24 + -3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22415 - -47982. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41226226715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (-4*sqrt(77)*5 + sqrt(77) - sqrt(77)) + sqrt(77) - 1*sqrt(77)*-4)\/((-1*sqrt(66)*-3 + sqrt(66))\/sqrt(6)*5).\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 65. Calculate the least common multiple of 45 and c.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 2*b + 2. Let l be o(2). Let c(u) = -u**3 + 7*u**2 - 6*u + 8. What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*k = 19, 7*k = 2*k - 10. What is the smallest common multiple of 1 and (-6)\/15 + (-235)\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1*((-18)\/(-8))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 6) + -14 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -13, 22, 2 in descending order.\nAnswer: 22, 5, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 + 6*m + 4. Suppose -2*z + 137 = 57. Let n = 35 - z. Is 7 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, 300\/23 in increasing order.\nAnswer: 1\/3, 2, 300\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(96)\/(sqrt(36)\/sqrt(3)))*-6.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 14*a**2 + 16*a - 9. Calculate the least common multiple of 4 and y(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32558 (base 16) in base 2?\nAnswer: -110010010101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26.4345 and 0.\nAnswer: 26.4345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 131 - 122 = 0. Let j be 75\/(-5) + z - -10. Solve j*p = -2*u - 20, -u + 4*p + 5 = -15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 13 = -3. Let d be (220\/(-54) - n)*3. Let l = 1274 - 1268. Sort d, -2, 1, l in descending order.\nAnswer: l, 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 + 72846\/(-1520))\/(1\/((-5)\/(-9)))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*x**3 - 41*a*x**2 + 7*a*x - a + x**4 - 11*x wrt x?\nAnswer: 18*a*x - 82*a + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddbdddd. Give prob of sequence ddb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-10))\/(3\/15). Suppose -1 = -h*w + 1. Suppose 4*i = 13 - w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3) + -2)\/(154\/29631). Let p = h - -129. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.293 + -0.033. Which is the smallest value? (a) -2\/7 (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/7398327?\nAnswer: 1\/7398327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87045779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(21\/(-6) - 4). What is the second biggest value in g, 0.8, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from {y: 12, j: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*c + 49, 2*c + 9630969 = -p + 9630948 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 336045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 58, -106, 75, 0 in ascending order.\nAnswer: -106, 0, 3, 5, 58, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (73 + -73 + -2 + -9 + 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 15 + -1 + -30 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25971 is divided by 241.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3133 by -241.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 4*y + 2*y)*(-y - 2*y**2 + y) + 145 - 508 - 12 - 2*y**3 to h*y + q*y**3 + p*y**2 + r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(296*h - 7698*h - 107*h) in the form j*h + d and give j.\nAnswer: -15018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**3*t**3 - 2*q**3 - 2*q**2*t**4 + 8*q**2*t**2 + 4*q*t**4 + q*t wrt t?\nAnswer: -18*q**3 - 48*q**2*t + 96*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101100 + 100?\nAnswer: 1011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20305903031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -2\/3, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {c: 4, o: 5, l: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((280\/980)\/((-6)\/(-28)))\/(8\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + f + 2*f - 2. Let p be x(7). Let y be (p\/(-15))\/((-4)\/50). Solve 2*a = 3*l + y, 5*a - 2*l + 3*l = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18*d + 16 = 0. Solve -3*h - d - 23 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 4, s: 3, q: 2, p: 2, y: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 6*b + 0*b + (-4 + 2 + 0)*(-2 - b + 2))*((3*b + 0*b - 5*b)*(2 - 5 + 2) + 3*b - 2*b - 4*b + 0 + 0 + 9*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.04 + -473.96. Let j = -478.994 - d. What is j rounded to two decimal places?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 28*i**2 - i - 50. Give p(-28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-12))\/(58\/14790*-85)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38963072?\nAnswer: 2, 19, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184151, 368341, 552529, 736715, 920899, 1105081, 1289261?\nAnswer: 1473439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 9:49 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 32 - 25 = 0. Put l, 3, -0.1, -3\/4 in decreasing order.\nAnswer: 3, -0.1, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 78. Suppose -2*o = -o - i. Suppose 2*b + o = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 5*t + 24. What is the remainder when 54 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 + 520\/154. Let j = b + -337\/77. Calculate the common denominator of 71\/6 and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 20, 4*y - 25643 = -2*k + 4155. Suppose 25093 + k = -4*s. Round s to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1114111, 1114219, 1114327?\nAnswer: 1114435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3029039 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:32 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(208) + -2 - sqrt(208)) + sqrt(208) - sqrt(208) - (sqrt(208) + 0)*1)**2 + -4.\nAnswer: 80*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 8*p + 2. Let x be a(3). Calculate the remainder when 22 is divided by -1 - (-1 - (x - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 14) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011001111011111110 - 101?\nAnswer: -11010011001111100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + -4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Let z(d) = 13 - 2*d**3 - 8 - 4*d**3 + d + i*d**3. What is z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(6\/(-1542)). Let g = n - -5393\/42. Is g >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2163996 and 149\/6966?\nAnswer: 93051828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257140622 + 3.\nAnswer: -257140619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28811 - 13438. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(((d*d**(5\/12))\/d)\/d*d)*d)*(d\/(d**(11\/2)\/d)*d)\/d)\/(d\/(d\/(d*d\/d**(1\/4))))**49)**(11\/4) assuming d is positive.\nAnswer: d**(-5995\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2. Let y(v) = 203 + 19*v - 9*v - 12*v. Calculate y(a(w)).\nAnswer: -4*w**2 + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-3)\/52)\/(285\/(-760))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -79.\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 4*p**2 - p + 5. Let z be o(4). Suppose -64*s = -62*s - 16. Let v be (5 - (-4)\/s*-9)*-16. Put -2, v, -5, z in ascending order.\nAnswer: v, -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/15)\/((-7)\/(-5)). Let s be ((-1781)\/(-39) + -43)*(-6)\/(-8). Find l, given that -i*l**s + 2\/7*l + 4\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11408969 to three dps.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*y - 608, 0*x - x + y = -159. Is 155 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-5))\/((-43)\/6766609) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -544, -1035, -1794, -2911, -4476?\nAnswer: -6579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 665245 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(560)\/sqrt(7)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*z = 22, -5*u + z - 2 = -2*z. Suppose -4*r + u*r = -8. Suppose 0 = o + r*o - 50. Calculate the lowest common multiple of o and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1028 + -599. Suppose -i + 228 = 5*t, -4*i + 6*i - d = -t. What is the remainder when i is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.33110746638495 and -0.4.\nAnswer: -0.06889253361505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 + 6*p + 13. Calculate the remainder when n(-2) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*z - 8*z = 6, -2*z = -3*x + 3. What is the smallest common multiple of 7 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaajajaajj. Give prob of picking 4 j.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 16160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 33 = -7. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpwwp. What is prob of sequence pwwp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2. Let v(b) be the first derivative of 5*b**2\/2 - 28*b + 28. Let j be v(6). Let z(h) = -2*h**3 - h**2. Give j*z(c) - 2*r(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16881, 16875, 16865, 16851, 16833?\n\"Answer: -2*b**2 + 16883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0 + 2 - 19*q + 4 - 7. Calculate the least common multiple of k(-1) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 - 620*x**4 + 32950*x**3 - 94540*x**2 + 62208*x = 0. Calculate x.\nAnswer: 0, 1, 2, 64, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 18. Suppose 0 = -o + q + 3, -o - 2*q = -13 - 2. Calculate the least common multiple of o and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 17397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25478 and -21399.\nAnswer: 545203722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - p + 40, -80 = -5*g + g + 4*p. Let s = g - 22. What is the third biggest value in s, -2\/9, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/297 in 1\/3, 4, -5, -0.5, -2\/1347?\nAnswer: -2\/1347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*k - 99 = 0, -4*l + 4*k - 254 = -10*k + 248 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0.4, 806, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*r + 9051 + 3136 = -520*r - 14798 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - -213. Suppose -5*v + v = -3*y + i, 4*y - 340 = 3*v. What is the smallest common multiple of 6 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178825 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, k: 1, x: 1, n: 2, l: 1, j: 4}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1. Suppose 0 = -547*z + 541*z - 6. Let x(o) = -2*o + 8. What is z*x(g) + 5*t(g)?\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/150 - r**5\/50 - r**4\/60 + 4*r. Solve u(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t = -69. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1095284?\nAnswer: 4381136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 3*f**2 - 3*f**2 - f**2. Let b(t) be the second derivative of -t**3\/3 + t. Determine n(b(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let h(y) = -799*y + 459. Let n(f) = -21*f + 19 + 19 - 43 + 17. Let i(d) = -4*h(d) + 153*n(d). Give i(t(z)).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w - 169 + 211. Calculate the greatest common factor of w and 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -228*w + 231*w - 2*p, 18 = -4*w + 5*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -74, -194, -362, -578, -842?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**4 - 10*l**3 + 11*l**2 - 6. Let m(w) = -5*w**4 + 10*w**3 - 10*w**2 + 5. Let k(u) = 6*m(u) + 5*p(u). Factor k(c).\nAnswer: -5*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318138 and 530230.\nAnswer: 1590690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2. Let x(a) be the second derivative of 0*a**2 - 3*a + 2\/3*a**3 + 0. Give v(x(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/9 + 90\/18. Let t = -1.3 - -1. What is the nearest to t in -0.2, -2\/3, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5903 divided by -1?\nAnswer: 5903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2509 by -744.\nAnswer: -2509\/744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -31. Let g = 31 + h. Suppose -g*q = 2*q. Solve -12 = 5*m - 2*t, q*t + t + 12 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2089156647 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-16 - -1)) + 1 + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/((-80)\/24*1\/(-55))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 173, -2\/3, -23\/5, -0.08, 1\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266.3412 kilograms to tonnes.\nAnswer: 0.2663412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(3 + 5*g - 3 - 6 - 2*g + 6 + (-4*g - g + 4*g)*(5 - 1 + 0)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 428, 1513, 3302, 5789, 8968, 12833?\n\"Answer: -u**3 + 358*u**2 + 18*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*h + 2*c, c = -5*h + 89 - 113 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 - 4*h + 2. Let p be j(3). Suppose 50 = 2*d + 2*k, d - 4*d + p = k. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 9*u**2 - 33*u - 19. Calculate t(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310393 = -5*l + 345607. Round l to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = n + 6*i - 2268, 0 = n + 5*i - 2256. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140098996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/6 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5\/2 + 12317*h**4\/2 + 18472*h**3 + 12314*h**2 = 0.\nAnswer: -12314, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 33 - 105. Is ((-3)\/i + (-1)\/4)*-254 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137\/62199 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 19 = z, 0 = -z - 2*z - g - 24. Let q(u) = -u**2 - 4*u + 17. Let r be q(z). Let m(w) = -w**3 - 4*w**2 + 2*w + 4. Calculate m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49712 less than 49711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 6*y - 3. Let s be 5\/((-1 - -2) + 0). Let j be i(s). Solve -4*o - j = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/11))**18\/(z**25*z*(z*z**(-2\/83))\/z))**(-47) assuming z is positive.\nAnswer: z**(1325306\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:27 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - (-52)\/14. Suppose 3*p + k*w = 16, -4*w = -3*p - 2*w - 8. Solve 0 = 5*t + 2*z - 0*z + 19, p = -5*z + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2337, 2349, 2361, 2373, 2385?\nAnswer: 2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/40 - r**4\/4 - 3*r**3\/4 + 31*r**2. Factor i(p).\nAnswer: -3*(p + 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -28*g - 4674000. Round g to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyl when three letters picked without replacement from ymmllmm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 48. Let n(a) = 3*a - 52. Let y be n(i). Solve 0 = y*h - 38*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1052.7 * 2.\nAnswer: 2105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - 2*c - 13. Is x(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*b + 4232*b + 2884*b.\nAnswer: 7206*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-1)\/1)\/2. Suppose -k = 3*j + 33 - 14, -j - 5*k - 25 = 0. Let z be (-2)\/j*25\/10. Solve c = -v + 2 + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -490448.45096271 - -490453.555. Let a = 5.104 - b. Round a to 6 dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*v, 5*x - 288441 + 60630 = -v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 443166200 to the nearest integer?\nAnswer: 21052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2516.0877 + 2516. What is n rounded to three dps?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q - 3. Suppose -4*d = 3*k - 71, 24 = 3*k + d - 32. Suppose -k = -4*s - 5. Let z be (3 + -9 + s)\/(-1). What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1947 and -13\/5474256.\nAnswer: 60216816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 90*x + 1978. Let w be i(-52). Let f(z) be the first derivative of -2*z**3 - 1\/4*z**4 + 0*z**w - 13 - 3*z. Calculate f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546876.\nAnswer: 2, 3, 11, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*d + 5 = -4*d, 5*a = 3*d + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 18. Let i = -9 - n. Suppose 2*t = j - 6*j + 146, 5*t = j + 311. Calculate the highest common factor of i and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187 + 2*g + 735 + 452.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21609, 21616, 21633, 21666, 21721, 21804?\n\"Answer: d**3 - d**2 + 3*d + 21606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) 0.4 (b) -0.4 (c) 2 (d) 20\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k - 6*k)*(-k + 4 - 4) + 7*k**2 - 3*k**2 + 3*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270998 or -271144?\nAnswer: -270998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 3*p + 62 = -28 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 1443?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {p: 5, d: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 42 = -c, -4*c + 17 = -5*b - 157. Suppose 0 = -157*v - 111*v + 48*v + 1320. Calculate the remainder when c is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -30*w**2 + 3*w + 3. Let g(o) = -o - 1. Suppose 59*p - 246 = -23*p. Give p*g(c) + m(c).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 9*d - 42. Is 6 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.134 - -0.266. Put s, -5, -32, -4\/7 in ascending order.\nAnswer: -32, -5, -4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 30218\/181?\nAnswer: 30218\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - 463 = 72*g - 796 + 4281 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 + (-57)\/(-6). Suppose i = 4*s - 0*s - c, -4*s + 3*i = -8. Suppose 0 = s*b - 3*b + y + 14, 4*b - 56 = -3*y. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145.339 + -145. Let z = -4.199 + j. Round z to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 165753295*x\/2 - 27474154803357025\/4 = 0. What is x?\nAnswer: 165753295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3\/7, 39.837, -1\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -21 - (-16 + (-9 - -17))) + 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**2. Let o(d) be the first derivative of d**2 - d - 384. Calculate o(s(m)).\nAnswer: -26*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -714 + 3558\/5. Let u = -77\/30 - z. What is the biggest value in u, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/24)*z\/(z**24*z) assuming z is positive.\nAnswer: z**(-575\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -118672 and -2183 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from fofooofoofo.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1553.5165833 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*c + 4, c + 0*c + 2*m + 7 = 0. Let b(t) = 3*t**3 - 3*t**2 + t + 1. Let d be b(c). Solve d = -p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 33 + 169. Calculate the remainder when 30 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 12. Let w be 2 - y\/(-20)*(-25)\/(-5). What is b in -w*b**3 + 0 + 0*b + 1\/2*b**5 + 1\/4*b**4 - 1\/4*b**2 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5641561*v**3 - 6057*v**2 + 1758*v?\nAnswer: -33849366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8854.9 and 1.142.\nAnswer: -10112.2958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4 + 6. Suppose 0 = h*s - 5 - 5. Suppose -4*c + 4 = -0. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-four fifths of a minute?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 6 + 38. Let h(q) = 14*q**2 - 11*q + 92. Let b(t) = 5*t**2 - 4*t + 31. Let l(z) = i*b(z) + 4*h(z). Is 11 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = -5*m + 21*m. Suppose 0 = -c, m*r + 3*r = -c + 27. Is 15 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-118724)\/(-1072))\/(-443))\/(2\/608*2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/150*(3 - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3.39, -1.4 in ascending order.\nAnswer: -1.4, 3.39, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and -21\/748?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:33 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 89.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**6\/6 - 4*q**5\/5 - q**4 - 259. Factor u(t).\nAnswer: -t**3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-2 + -11 + 0). Suppose 0 = 3*y - 8 - i. Calculate the lowest common multiple of 9 and (-2 + y)*3\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4114+-10.2\nAnswer: -8.7886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iizz when four letters picked without replacement from izzzzzzziz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1472 and -61\/320.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -3*k - 8 = -8*k + b*g, 0 = -5*k + 2*g + 7. Let m(s) = s**2 - 1. Let r(w) = -6*w**2 - w + 3. Let p(y) = -3*m(y) - r(y). Calculate p(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7. Let z(x) be the third derivative of x**5\/30 - 7*x**3\/3 + 6*x**2. Let f(w) = -9*d(w) - 4*z(w). What is the derivative of f(o) wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 8:31 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 7*v + 7. Let u be s(-7). Suppose 2*q - u = -1. Suppose -q*d + 1950000 = -8*d. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*r - 71*r + 2484. What is the remainder when r is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811433 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: Let a(b) be the first derivative of b**2\/2 - 4*b - 36. What is a(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 176 = -129 + 188 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 14. Let a(j) = -14*j. Calculate a(i(l)).\nAnswer: -28*l**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21127 (base 12) to base 11\nAnswer: -2a652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487*v**2 - 495*v - 1092*v + 1587*v.\nAnswer: 1487*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6768*a**2*g**2 + a**2*g*m**2 + a*g**2*m - 595*a*g*m**2 - 2*g**2*m**2 + 4*g**2*m wrt a.\nAnswer: 13536*g**2 + 2*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6370.1 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + i - 12 = 0, -i = 3*u - 6*u + 6. Sort -3, 13, u in ascending order.\nAnswer: -3, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25228*d*f**2 + 33*d*f + 604318335*d + 12*f**2 wrt f?\nAnswer: -50456*d*f + 33*d + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4119 divided by 59258\nAnswer: 4119\/59258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 13) to base 12.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-606)\/610 - -2. Let i be 2\/(-8) - 321\/(-2440). Let p = i + v. Which is the closest to 0.2? (a) -3\/5 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 99954\/(-126) + 2\/7. Let z = -383 - s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/5 and 49\/259295.\nAnswer: 259295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = a + 16, -3*a - 20*f + 21*f + 17 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2014 - 2014 + b. Let f(w) = 6*w**2. Calculate n(f(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -166*-0.7\nAnswer: 116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6365795 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136142810 and 8490.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25463 rounded to three decimal places?\nAnswer: -2.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -160. Let y be (-3)\/((-3)\/7) + g. Solve -u = y*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*a + 68*a + a**2 + 3*a**2 to m + v*a**2 + i*a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -5*x. Suppose -1 = -5*w + 4, g - 5*w + 2 = 0. Suppose 3*h + 310 = 4*q - 73, -g*h - 478 = -x*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305902.6s in days?\nAnswer: 26.6886875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-20)*15\/(-2). Let o(f) = -6*f + 3. Let w(n) = -3*n + 2. Let m(c) = -5*o(c) + 9*w(c). Let r be m(q). Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdmcztmt. What is prob of picking 1 z, 1 d, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**2 + 2469*d + 21. Let z(c) = -c**2 + 247*c + 2. What is -2*v(j) + 21*z(j)?\nAnswer: -3*j**2 + 249*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**5 - 112*d**4 + 944*d**3 - 2648*d**2 + 2892*d - 1080 = 0. Calculate d.\nAnswer: 1, 2, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 15 = 1. Calculate the highest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1431*a**2 - 1770 - 2859*a**2 + 1770 + 1427*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -11 + 67. Suppose -99*o = 165*o - 11352. Calculate the remainder when o is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1012 = -281*l + 285*l. What is the second derivative of 613 + l*s**3 + 2*s + 540 - 1236 wrt s?\nAnswer: 1518*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 1\/3*n**3 + 6 - 8*n - 11\/2*n**2. Let z be b(12). Solve 0 = z*k + 10 + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s - s)*(-6*s**2 - s**2 + 4*s**2) + 0*s**5 - 3*s**5 + s**5 + (-2*s + s**2 + 2*s)*(13*s**3 + 727*s**2 - 727*s**2).\nAnswer: 5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 + 120 + 144 + 3*h**3 + 22*h.\nAnswer: 3*h**3 + 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 756.8 - 750.8. Let h be 5\/(-6)*(-3)\/10. Put i, h, 3 in ascending order.\nAnswer: h, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-4))\/(4\/(1 + -89)). Let r be (-37)\/(-7) + 22\/p. Solve -2*j + r = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 1001, 4086, 10267, 20576, 36045, 57706, 86591?\nAnswer: 123732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4296589 to the nearest integer?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853938 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 46 = k. Let b = k - 33. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n. Let m(u) = 42*u**2 - 156*u**2 + 1 + 135*u**2. What is j(m(f))?\nAnswer: 189*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60834960*t**2 + 81*t - 385839 wrt t.\nAnswer: 121669920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 68.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*s - 6 = 0, s - 4 = -4*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Suppose -74 = -4*u + 3*u. Suppose 6 + u = o*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4452 divided by 1113.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2\/2 + 3. Let i(f) be the first derivative of -6 + 5\/2*f**2 + 0*f. Determine g(i(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) 5 (c) 1\/4 (d) 157 (e) 9738\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197349624 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8467?\nAnswer: 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 44364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {t: 10, n: 1, g: 3, r: 1, k: 1, v: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*p - t, p + 15*t - 17*t - 4 = 0. Let u(j) be the third derivative of j**5\/60 + j**4\/2 + 11*j**3\/6 - 2*j**2. What is u(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/89160 and 151\/35664.\nAnswer: 178320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34173571 to the nearest integer?\nAnswer: 5846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -114. Suppose 4*h + 4*r - 80 = 0, 41 = 4*h + q*r - 31. What is the remainder when 431 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 10*k + 9. Is 691\/(-3 + (k + 0 - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 9*x - 24*x + 32*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 17*g - 84. Solve 5*d - w = -28, g*w = d + 20 - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 2. Let l(o) = 5*o - 3. Let b be 8 - (7\/14)\/((-1)\/2). Let f be 36\/(-6) + b + 2. Determine f*l(k) - 6*y(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 + -18 + 23 + 1 - -42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 15 = -34*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let b = y - -1. Is b > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93039 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -68. Let t = g + -58. Calculate the remainder when t is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187379408.\nAnswer: 2, 11711213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12428.\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -30. Suppose -80 = -3*x + 22. Calculate the greatest common factor of k and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/18)\/((-3)\/(-9)))\/(3\/(-3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1. Let q(m) = -3*m + 6. Let g(v) = -q(v) - 5*r(v). List the prime factors of g(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353334, -353356, -353416, -353532, -353722, -354004, -354396, -354916?\nAnswer: -355582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-30)\/4)*(-6)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -526*p + 57928. What is z(110)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1197836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 43*r. Let s be l(1). Let b(g) = -g**3 - 54*g**2 + 1385*g + 39. Let f be b(19). Calculate the highest common divisor of f and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from zzzqzyyyz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/5 + 4178*w**2\/5 + 393616*w\/5 - 160792 = 0. What is w?\nAnswer: -1990, -101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037906.\nAnswer: 2, 518953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 4 - 3*h**2 + 0*h**2 - 3*h**4 - 2 - 3 in the form u + m*h**4 + g*h + n*h**3 + v*h**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1972 + -2099. Put 4\/3, z, 3\/7 in increasing order.\nAnswer: z, 3\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5024613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 17\/50, 172, -2?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 4, t: 8, k: 2}. What is prob of sequence mvt?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -35*d - 908. What is the remainder when 259 is divided by x(-28)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1258 + 0.3.\nAnswer: 1.4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33356237.\nAnswer: 197, 169321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:41 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413908.\nAnswer: 2, 11, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22313213 (base 4) to base 10\nAnswer: 44519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11734*j - 33231. Give u(-3).\nAnswer: 1971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -14*g**4 + 37*g**3\/3 + 511*g**2\/3 + 58*g\/3 - 8 = 0.\nAnswer: -3, -2\/7, 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-18) + (-21)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1087.359 - -1087. What is the nearest to 0.1 in c, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*t + 5 = 0, -127*t = 7*u - 128*t - 89 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 - 24357*t**2 + 146250*t = 0. Calculate t.\nAnswer: -8125, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0684 take away -1915310.58?\nAnswer: 1915310.5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 499, 249, -409, -1673, -3741, -6811, -11081?\n\"Answer: -33*k**3 - 6*k**2 - k + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, t: 2, o: 1}. What is prob of sequence todm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -12a?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10435 + 23765 = 18*y. Suppose 12*q = 13472 + y. Calculate the greatest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31843\/92264 - 98\/607. Let d = 534\/647 - 18187\/18116. Calculate the common denominator of m and d.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1853453a?\nAnswer: -18534535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -5 (b) 0.5 (c) 1\/41 (d) -0.04 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178 + c**2 + c**2 + 3*c**2 - 1165 to r*c + b + t*c**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-114)*61617\/(-282).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 28*j - 48. Let l be w(-30). What is the greatest common factor of l and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 5*m**2 + 3279*m + 19644. What is h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + 4a557c?\nAnswer: 4a5548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -800.43 to 0 dps.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1086987 or 1086991?\nAnswer: 1086987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-44 + 45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 406, 937, 2418, 5341, 10198, 17481, 27682?\n\"Answer: 82*x**3 - 17*x**2 + 8*x + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1700?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 4*q**2 + 10*q - 23. Calculate k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38753 + 38753.091965. Round k to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 5*k - 5*k)*(k - k - 4*k)*(310 - 310 - 42*k).\nAnswer: -1848*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130739.\nAnswer: 7, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w + 4. Suppose -3*z + v + 3 = -0*v, 5*z - 4*v = 12. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199177829.\nAnswer: 29, 6868201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/8 + (-786)\/(-16) + -4. Suppose 87 = m + w. Let v be 2 + -1 - -1*27. What is the highest common divisor of v and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 14 = 10. Solve -10 = -5*p - w - b*w, 0 = p - 3*w + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3237 divided by 5.\nAnswer: 3237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 223*i**2. Let y(a) = 7*a**2. Calculate y(n(q)).\nAnswer: 348103*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234082048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39677*i + 8 = 39673*i. Which is the closest to i? (a) 2 (b) -2\/39 (c) 3\/7 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 105 = 5*k, 3*k + 5 = 20. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.751 - -0.3.\nAnswer: 6.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - 12) + (-8)\/5. Let l(i) = 443*i - 2212. Let s be l(5). Which is the second biggest value? (a) s (b) j (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(720)*4) + 5)**2 + -3 + (-3*(-2 + sqrt(5)))**2.\nAnswer: -506*sqrt(5) + 11148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 990118601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 n, and 1 z when four letters picked without replacement from zzzznznznnnznzzoo.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 1521, 2294?\nAnswer: 3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27075 - -55?\nAnswer: 27152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*l + 36 = 0, 0*m - 29 = -m + 5*l. Suppose -4*y = -0*z - 3*z - 5, 3*y - m*z + 5 = 0. Calculate the greatest common factor of y and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 3.7. Let m = 0.03 + 0.51. Let s = m + -0.04. Which is the smallest value? (a) -3 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22673, -44910, -67147, -89384, -111621?\n\"Answer: -22237*k - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(4\/(-1)))\/(4\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10081277183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3570 + 200. Let h be ((-116)\/c)\/((-2)\/204). Is -17 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-429))\/((-520)\/(-169))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -155 (c) 3\/2 (d) -427 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + ((-72)\/10 - 8\/(-40)). Let b = -2.41 + 0.01. Put o, 2, b in increasing order.\nAnswer: b, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggoooegeoeotgoooo. Give prob of sequence ogg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -12 - 25) + -1 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, -4, 0.48, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + 5*b**2 - b - 11. Calculate w(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 4*g**2 - g - 2. Let m(x) = 2*x**3 + 3*x + 0*x - 3*x**3 - 2. Let u be m(2). Let o be k(u). Solve 0 = t - o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*o, -1 - 6 = -b - 2*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 3 + 3 + (-2*t + t + 0*t)*(33*t - 36 + 36).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 plus -21.62?\nAnswer: 31.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/((-1365)\/(-10)) - 58\/(-546). Which is the third smallest value? (a) -0.2 (b) 9 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -6, -5.9, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + a**3 - 3*a**2 - 2*a + 4*a**4 + 6 - 8*a**4 to j*a**4 + n*a**3 + z*a**2 + k + r*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8.1, 81, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1670901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 1. Let r = -0.12 + -12.88. Let a = 12.9 + r. Is x at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-13 - 1) + 1. Let k be 6\/u - 6\/(-9). Let l be 0 + k - (-1 + -2). Solve n - l = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258\/11 - -254\/11. Find the common denominator of c and 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*p + 10 - 10)*(9 - 4 + 1) + (p + p + 0*p)*(-3 + 5 + 0) in the form n + k*p and give k.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (-38 - (41 + -162)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) -5 (c) -1\/5 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 2. Let i(h) = -10 + 13 - 4. Let o(j) = -4*i(j) + 2*v(j). Let w(a) = 2*a. Calculate w(o(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 2.6, -0.1, 3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/20 + (-117)\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634129 to the power of 1\/2, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/113 + 1613\/4068. Let c = 1\/9 - x. Let o = 7 - 7.5. What is the third biggest value in c, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 8*d**2 + 9*d + 3. Let v be k(-9). Suppose -o + 4 = -3*l - 2, -v*l = 5*o + 24. Suppose p = -3*p - 4. Sort p, -5, l in descending order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19910 divided by -9955.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - h**2 + h + 3. Let c be o(2). Let a = c - -44. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48952, 48118, 47284, 46450?\n\"Answer: -834*s + 49786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -254596867638 - 162?\nAnswer: -254596867800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, j: 1}. Give prob of sequence bj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -28, -1, 2, 3, -4, 702 in increasing order.\nAnswer: -28, -26, -4, -1, 2, 3, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*x = 8*x, 11 = s + 3*x. Suppose -8 + 3 = -s*b. Differentiate -4 - n - b + 6 with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -131, -203, -279?\n\"Answer: -2*c**2 - 62*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 (base 10) in base 4?\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1342 and -0.276185807.\nAnswer: -1342.276185807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(52\/(-18))\/13*(-57)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(34)\/sqrt(2)).\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j - 2*j + 2*j)*(-2 - 4 + 5)*(2*j + 0*j - 641 + 327 + 7*j) to the form l*j + t*j**2 + x and give l.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i + 27 - 27)*(0*i + i + 0*i) + 0*i**2 - 2*i**2 + 16*i**2 - i**2 - 3 + 3 + 0*i**2 - i**2 - 2*i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592703*101.\nAnswer: 59863003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 491*y. Let n(i) = -1. Calculate g(j) + 2*n(j).\nAnswer: 491*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -251\/3 >= -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.0108 to 0 dps.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6132360 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -12, -f - 6 = 2*p - 0*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 19*r + 34. Let h be q(-16). Let i(t) = -28*t - 981. Let u be i(-35). Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3439 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1460 + -32?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 2858*c**3 + 41*c - 24*c.\nAnswer: 2858*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 2*k + 6. Determine t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352 = 130*a + 78 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1006 and -43\/22.\nAnswer: 11066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9400.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 67 = -1. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*q - 3\/4*q**2.\nAnswer: -3*q**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + 133 + 5 + -28\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.032 less than or equal to -191327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*o - 50615 = 76*o + 10*o - 18065 for o.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o, 0 = -q - q - 3*o - 95. Let s = -20430 + 20435. What is the biggest value in 4, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1511*n - 8930. What is b(-7)?\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) -1 (c) -16.408 (d) -0.06 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) -2\/157 (d) -158894\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 + (-9 - 4 - 12) + 9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 5 + 5)*(13*g**2 - 11*g**2 - 4*g**3 - 5*g**2).\nAnswer: 12*g**4 + 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 11*c - 17*c)*(-4*c**2 - 2*c**2 + c**2) + (0*c**2 + c**2 - 3*c**2)*(9 + 9*c - 9).\nAnswer: 177*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/4 (b) -0.081 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c. Let a(f) = -2*f - 6*f**2 + 3*f - 2 + 5*f**2. Let w = 3 - 3. Suppose w = -d + 2 - 5. Calculate d*y(u) - a(u).\nAnswer: -2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/(1\/4). Let z(k) = 12*k - 3. Calculate the remainder when 40 is divided by z(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.134 (b) 11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 254991.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 3*j**2 + 2*j**2 + (j - 6*j + j)*(43*j + 21*j - 124*j)*(2 + 1 - 2) to the form x + r*j + s*j**2 and give s.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4686 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 12}. What is prob of picking 2 n?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0)\/((-1)\/(-1)). Let m = -1 - j. Let i = 6\/65 + 4\/13. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, k: 1, u: 1, v: 3, j: 3, g: 1}. What is prob of picking 1 v and 1 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let b = -1 - -12. Let a(z) = -z**3 - 6*z**2 - 7*z - 24. What is the remainder when a(-7) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -4, 0, 3\/5 in decreasing order.\nAnswer: 3\/5, 0, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -2, -23, -5, 5 in ascending order.\nAnswer: -23, -5, -2, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397019367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -8. Suppose 3*p = -3*y + y - 8, -r*y + 3*p + 16 = 0. Solve y*f - 4*k - 1 = -7*k, -5*k = -2*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 27\/5 (b) 25.8 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 370.0859 nanometers?\nAnswer: 0.0000003700859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 28 + 37 = 0. Let v(t) = t + 4. Let f be v(d). Let q = 16 - f. Calculate the remainder when 123 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255944243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415907890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -5, -0.4, 477, 155?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3819.4986293 and 3.\nAnswer: -3816.4986293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -739, -1, -3, -51.\nAnswer: -739, -51, -8, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:48 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i. Let j(y) = 3669*y**2 + y - 4. Calculate j(p(g)).\nAnswer: 33021*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -29*j + 58. Let l(h) = -2*h. Let c(d) = i(d) + 4*l(d). Differentiate c(q) with respect to q.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.7 (c) -24.4 (d) -1\/5 (e) 3960\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230395 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 - 12*x - 17. Let j be y(-9). Let t(z) = 10*z - 35. Calculate the remainder when 129 is divided by t(j).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13924.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12638, 12661, 12684, 12707, 12730?\nAnswer: 12753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4 = v, 2*a = -34*v + 39*v - 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -36, 1, -49, 4, -4 in decreasing order.\nAnswer: 4, 1, -2, -4, -36, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 + -8 + (-12 - 0). Which is the second smallest value? (a) -3\/10 (b) p (c) 3.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-2)\/7. Let b be -1 + 0 - -1 - w. Let j = 1821 + -1819. Solve b = -j*g - 3*n - 6, -4*g + 2 = 4*n + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/30 - 105*l**2. Let c(i) = -23*i**2. Determine h(c(p)).\nAnswer: -1058*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 586070352 a multiple of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1255 - 1255.5. Which is the second biggest value? (a) 0.8 (b) h (c) -42\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 - 6172*l**2 - 6178*l + 12348 = 0.\nAnswer: -2, 1, 3087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2 - 18*m - 19. Let x be y(-1). What is the greatest common divisor of x and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 46365909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14306316?\nAnswer: 2, 3, 17, 19, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11879 plus 4?\nAnswer: 11883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 2 (c) -588 (d) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/((-8)\/(-576)*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 21.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, 79, 381, 1011, 2089?\n\"Answer: 20*g**3 - 16*g**2 + 2*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*b = 5*l - 14, -3*b = 5*l - 77. Suppose 3*r - 1 = a + 8, 0 = 3*a + r - l. What is the least common multiple of 10 and a\/5*(-1 - -31)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12608249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**2 + n - 120?\nAnswer: -8*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*c**3 + 12*c**2 - 4698 wrt c.\nAnswer: 219*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*u + 3650 = -185*u. What is the remainder when u is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/8 + (1 - (-30)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2\/4 + 9*m\/4 + 15\/2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 140 - 19*m**2 + 6 + 21*m**2 + 149 as u + d*m**2 + k*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20319778 - 5?\nAnswer: -20319783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000933973957 rounded to six decimal places?\nAnswer: 0.000934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*u**3 - 3*u**2 - 165*u**3 + 3*u**2 - 163*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrmrrrmr. What is prob of picking 4 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230976?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5278*v**2 + 13706*v - 13706*v - 5251*v**2.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxk when four letters picked without replacement from xxxkkkxxxxxkxkkxkkxk?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -5 - (13 + (-76 - -11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4649 - -4644. Let g(f) = 4*f - 3*f**2 + 4*f**2 + 0*f**2. What is g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 - 5*i**2 + 28*i + 19. Let p(w) = 20*w**3 - 15*w**2 + 83*w + 56. Let h(s) = 6*p(s) - 17*z(s). Is h(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12533, -1.5, 1 in increasing order.\nAnswer: -1.5, 1, 12533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378 minus -704.830965?\nAnswer: 8082.830965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:54 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2*p**2 - p**2 + (p + 1 - 1)*(p - 2*p + 0*p) + 514 - 2*p**2 - 514 - 4*p to z*p + s + j*p**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85182 divided by -524.\nAnswer: 42591\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35757 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*o = -5 + 15, 8 = 5*w + 4*o. Let p(l) = 4*l**2 - 46*l + 6. Let x be p(15). Let t = x + -214. Solve -t*r + 2 = -w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 16*x**2 - 43*x - 20. Let y be (102\/(-85))\/((-1)\/(-15) - 0). What are the prime factors of o(y)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*h)*(5 - 4 - 3)*(2311*h**2 + 60*h + 2382*h**2 - 60*h).\nAnswer: 28158*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -81557*k - 3 + 74437*k + 5 + 0 as i + c*k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 42*s - 10. Give v(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose u = -c - 3*c. Let t = 5 - 2. Solve c*n + n + t = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 + -2)*19 - 50) + -1 + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10)*(-75)\/(-6). Let x = l - -12. Solve -7 = -i - 4, x*i - 7 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2884, -2885, -2886, -2887, -2888?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-180)\/48)\/(-3))\/(1\/520). Solve 652*p - t*p = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56659347 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 3*x + 4. Let b be q(-4). What is the highest common divisor of 216 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-3)\/(-18)). What is the second derivative of g*w - 2*w - 5*w + 4*w**3 - 2*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1)\/((-2)\/40) + 4. Let x = j + -2. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38473?\nAnswer: 79, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 35*x = -88. Let s(f) = -24*f**2 + 2*f + 18. Let c(u) = 13*u**2 - u - 9. Let a(b) = x*c(b) + 6*s(b). What is a(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397820 is divided by 2317.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 78*z = 1764. What is the remainder when 61 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2))**46\/(w**(-2\/27)\/w*w**(2\/3)) assuming w is positive.\nAnswer: w**(3737\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 15007*j**2 + 3*j**3 + 0*j**3 + 15007*j**2 - j**4 as q*j + b*j**2 + z*j**4 + y + h*j**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4127*c**5 + c**4 - 2017*c**3 + 44053081*c**2 wrt c?\nAnswer: -247620*c**2 + 24*c - 12102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5862655 + -0.5876. What is r rounded to 5 decimal places?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -2*(-1)\/2. Suppose 2*s = g + 4. Suppose 7*b = 3915 - 3894. Solve b = 2*t + 5*p + 11, s = -t + 3*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201*y**5 + 2211*y**2 - 2211*y**2)*(-4 + 3 + 2).\nAnswer: 201*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:17 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*c, -2*t - 5 = -5*c + 6. Solve 3*d - 5*d = -3*l + 3, t*d + 5 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.962682 + 0.037678. Let n = -7 - -13. Let m = n - r. Round m to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1.4, 36, -5, 10, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/196 in -2, -4, 0.2, -6651?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -178*y + 7\/12*y**3 + 1\/48*y**4 - 51\/8*y**2 + 0. Factor u(d).\nAnswer: (d - 3)*(d + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 160 + 192*l - 53 - 660*l.\nAnswer: -468*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 0.2, -4, -21, 4678?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*s - 2*s + 8, 12 = 3*s - 3*a. What is the third derivative of -3*z**5 + 10*z**3 - 10*z**s + 2*z**5 + z**2 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*p - 24*p + 410 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -132545689*b**2. Let j(u) = -2*u**2. Determine d(j(w)).\nAnswer: -530182756*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 69. Is b at most 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 5) to base 6.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/4)*o)**(2\/17)*(o**(-2\/9))**11)**6)**(2\/105) assuming o is positive.\nAnswer: o**(-206\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3598*j**6 - 12990*j**5 - 219883238*j**2 wrt j.\nAnswer: -431760*j**3 - 779400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/(-15)*(-4)\/(-6). Suppose 3*l - 48 = -j*t, 2*l - l = -2*t + 40. Let w(s) = -19 + 2*s + t + 1. Let y(v) = v**2 - 5. Determine w(y(x)).\nAnswer: 2*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56609 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 1. Let p(n) = 2*n**3 - 8*n**2 + 10. Give -2*p(b) + 18*r(b).\nAnswer: -4*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 9}. Give prob of sequence enee.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a + 3. Let d(u) = -259*u - 77. Let h(z) = 6*d(z) + 154*y(z). Suppose -14*k + 156 = 18*k + 20*k. Let w(l) = -15*l. Give k*w(b) - 4*h(b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:15 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:51 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16475607.\nAnswer: 3, 1830623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**7\/105 - q**5\/2 - 7*q**3\/2 + 3*q**2 + 4*q. What is the first derivative of t(b) wrt b?\nAnswer: -8*b**3 - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39172590, -39172597, -39172604, -39172611?\nAnswer: -39172618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47058489 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142010 + 1022?\nAnswer: 2143032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 56699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p - 48260193, -4*n + 5*p + 3872060 = 68218981. Let x = n - -54437497289\/3384. Let r = -1\/423 + x. Find the common denominator of r and 125\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 844\/9. Let x = 23 + -44. Let a be -2 + 0 + (-33)\/x. What is the third smallest value in d, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*u + 217 + 645, 5*f - 4362 = u. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170458303?\nAnswer: 17, 2371, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2450, 2368, 2232, 2042, 1798?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -83, -111, -171, -275, -435, -663?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m + 5. Let l(k) = -20*k + 12. Let t(f) = 5*l(f) - 12*z(f). Let s(p) be the third derivative of -p**4\/24 - p**2. Give t(s(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3190921.\nAnswer: 509, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - b - 3 = 0, 3*o - 12 = 6*b - 2*b. Let s be 1 + (1 - -29)\/3. Suppose i = 2*k - s, o*k + 5*i = -k - 22. Solve k = -l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 2, o: 4, q: 2, v: 1}. Give prob of picking 1 v, 2 q, and 1 l.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - 355 = 0. Suppose 3*w - 72 = 3*c, 2*c - 72 = -3*w + 4*c. What is the remainder when p is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 20*v**3 + 21652535 - 21652535.\nAnswer: -20*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let v be r(-6). Suppose 5 = -4*l - 3*n, n - 3*n = -5*l - 35. Is v at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**3\/3 - 2655*i. Let h(b) = -4*b**2 + 5*b. Let v(y) = -10*y**2 + 12*y. Let q(m) = -12*h(m) + 5*v(m). Calculate q(d(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 31197171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3556*m - 6785*m + 3715*m to the form s + l*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4028123397.\nAnswer: 3, 389, 1543, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18647\/3 + 6145. Let h = k - -8. Let a = h - -63. What is the second biggest value in 8, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from cpcyszh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98861617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.02 + 1. Let a = -0.18 + i. Let q = -13.2 + 13.1. What is the biggest value in q, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000905450678 to six dps.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1105\/26*28\/(-5). Let l = d - -27. Let n = 364 + l. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9530284 to one dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*d - 75, -15*d - 25 = -10*d. Calculate the lowest common multiple of 177 and b.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391443216 to the power of 1\/2, to the nearest integer?\nAnswer: 19785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*f + 12 = 342*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k**2 - 316*k**2 - 9*k**2 - 414*k**2 + 23*k**2. Let p(j) = -6*j. Give p(r(o)).\nAnswer: 4224*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -575*l - 60819. Give q(-106).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 4 (b) -0.1 (c) 3 (d) -1.13 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12246856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.51, 4, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485\/(-291)*3*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170)*-1 - sqrt(170)))\/((sqrt(70)*2)\/sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 1371, -3157 in ascending order.\nAnswer: -3157, -3\/8, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*o**3*x**2 + 29*g**2*o**2*x**2 - g**2*o**2 + 159*g*o**3*x**2 - 2*g*o**2*x + 4*g*x**2 wrt o?\nAnswer: 6*g**2*x**2 + 954*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59054, 118197, 177338, 236477, 295614?\n\"Answer: -p**2 + 59146*p - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (4 - 1 - 4)*(3 + 1 - 3))*(-3*s - 16*s - 9*s) + 8*s - 26*s - 17*s.\nAnswer: 49*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c = c - 1518*f + 1513*f - 77, 21*f = 18*f - 51 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:47 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/17 at least -109.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - 306261\/(-6966))*23\/15 - 2\/(-20).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91.1 + -62.2. What is t rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -897\nAnswer: -2\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (3 + -2 + 33). Let h = -20 - a. Let y be (-8)\/10 - (-2698)\/710. Solve -y*v = i + h, -3*i - 1 = v + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from llllllnlnlllgg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3081*y - 3081*y - 2976 = -6224*y for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1286 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-153))\/(-5*9*(-24)\/(-3240))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9772?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8333 - -359.0533. Let z = r + -359. Let v = 4 + z. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(((-13974)\/6460)\/(-137))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 0*t - 2*t - 58 + 58.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 at most 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-3 + 9537\/(-10)))\/1. Let z = -949 + q. Find the common denominator of z and -81\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = 26*a - 16*a + 304 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 364\/2 + -1 + 0. Suppose -2*a + 5*j - w = -4*a, -4*j = 5*a - 461. What is the highest common divisor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5561 - 52*m - m**2 - 16682 + 5559 + 5562.\nAnswer: -m**2 - 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 13 = 1. Let o(u) = u**2 + 12*u + 12. Let z be o(-11). What is the greatest common divisor of z and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a + 46*a - 1291 + 345 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:43 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 1180. Suppose -q - 4*q = -w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12611633 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -59.043. Let y = l - 0.443. Put y, 2, 3, -22 in descending order.\nAnswer: 3, 2, y, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*x - 3*x - 10, -3*x = -4*h + 5. Is 7 a factor of (6958\/(-28))\/(h\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 199996\/20 - 4\/(-20). Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26 - (-1)\/(-1) - 0. Suppose 2*n = 73 - y. Let t = n - 7. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28781 kilometers in micrometers?\nAnswer: 287810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -0.02. Let b = -41907.7 - -41908. What is the closest to 0 in u, 5, b, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6894 and 3830.\nAnswer: 34470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(450)*-5 - sqrt(450)) + (sqrt(450) - (-2*sqrt(450)*-1 + sqrt(450) + sqrt(450) - sqrt(450))))\/((sqrt(2646)*1)\/(sqrt(48)\/(sqrt(16)\/sqrt(2)))).\nAnswer: -65*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + j = 728, 2*p - 728 = 4*j - 2*j. Calculate the smallest common multiple of p and 22.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {e: 1, j: 1, y: 5, f: 1, i: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/24558 and -65\/9?\nAnswer: 73674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 29\/75*a**5 + 5\/168*a**8 + 0 + 56*a**2 + 1\/15*a**3 + 53\/150*a**6 + 17\/105*a**7 + 0*a + 13\/60*a**4. Factor d(l).\nAnswer: 2*(l + 1)**3*(5*l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 170619?\nAnswer: -11\/170619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:40 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.6 - -26.2. Let p = -69.398998 - t. What is p rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886458563 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let t(v) = -2*v**2 + 889*v + 1. Determine x(t(w)).\nAnswer: 4*w**2 - 1778*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + -3.01. Let f = 0.974 - 9.564. Let k = f - -4.59. Sort k, 0.1, a.\nAnswer: k, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-47))**(-26)*(y**(-2)*y**(-2\/13)\/y)\/(y\/(y**(-4)\/y)*y\/(y**(-4\/7)*y*y)) assuming y is positive.\nAnswer: y**(-226374\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -7 + 4 + 5 + -3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 4*a - 189*a + 35 + 42.\nAnswer: -193*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let u = -21 - -35. Calculate the least common multiple of (u\/21)\/(2\/6) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -50. Let t(c) = c. What is t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32051 is divided by 1917?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 52 = 13*f. Suppose 16 = f*b - 9*b. Suppose 1 = -b*o + 3*o, u - 55 = 2*o. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10305 (base 6) to base 4.\nAnswer: -112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2*3 - -2). Let g = 10 - 11. Which is the nearest to g? (a) x (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/20 - 3*o**4\/2 + 17*o**3\/6 + 6*o**2 - 1173*o. Let g = 12 - -5. Let m be n(g). Is m > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -51 - 46350*v + 23171*v + 23175*v. Give z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -462353 - 401647. What is q rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-860)\/(-284) - (-6005475)\/(-203770)) + (-6)\/(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093229636 to the power of 1\/4, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.615 + -13.615. Put 7, y, -16, 0.4 in decreasing order.\nAnswer: 7, 0.4, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -85*o + 11665. What is c(160)?\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/8*(-4 - (-21086)\/(-8)). Suppose 21513 = 8*j - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/35*(1 + 6). Suppose 5*a - 9 = 3*o, 4*o = -z*a - o + 22. Let i(r) = r - r - a - r. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 685140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7*(-3)\/(-42)*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/17)\/((-6)\/(-21)). Solve -5*f + r*f - 8 = 4*v, 0 = -5*f - 4*v - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.351 - 12.351. Let t(l) = -l + 2. Let j be t(2). What is the smallest value in 3, p, j, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*k + k. Let d = 1067\/8 - 133. Let i = 3 - 2.6. What is the third smallest value in i, d, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/4 + -9 + 12. Suppose -3*r - h + 3 = 0, h = -5*r + 2*h + 13. Solve r*j + o = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*(-12)\/40. Which is the nearest to 0? (a) -3 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*m + m - 3*m**2 + 15*m)*(-78*m**2 - 311*m + 311*m) to the form c + n*m**3 + z*m + j*m**4 + l*m**2 and give j.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 11*v**4\/12 + v. Let r(b) = 2*b + 2. Let z(w) = 26*w + 28. Let p(j) = 28*r(j) - 2*z(j). Give p(c(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144213.\nAnswer: 7, 223, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/578 and -87\/170.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/4 - s**4\/6 + s**3\/2 - 2*s**2 - 7*s. Let j(v) = 11*v**3 + 5*v**2 - 7*v + 9. What is 7*i(g) + 3*j(g)?\nAnswer: -2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-49))\/((-4)\/42*-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 48. Let b(j) = -8*j + 28. Let q be b(6). Let y = q - -35. Calculate the least common multiple of v and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - 331.768. Let z = 5 - h. What is z rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 2. Let h = -0.1 + 0.3. What is the closest to h in -4, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apj when three letters picked without replacement from jfpjhaj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 2. Let f(w) = 10*w - 10. Give -3*f(i) - 16*q(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 9*v - 40. Let z be a(-13). Suppose -z*i + i + 616 = 0. Calculate the greatest common divisor of i and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 6*sqrt(13)*-4) + 4*sqrt(52) - (-3*sqrt(13) + 2 + (sqrt(39)*-2)\/sqrt(3))**2.\nAnswer: -329 + 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303409 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/(-92)*2\/((-2)\/1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6730.3169 and 130.5.\nAnswer: -6599.8169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59150409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -33, 90, 323, 702?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a75 (base 15) to base 6.\nAnswer: -225015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*o = -4*g + 18, o = -2*g + 7. Suppose 4*v = i - 2 + 10, -13 = -g*i + v. Solve 2*p - i = -0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 41859504.\nAnswer: 41859504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 60 = 0. Let u = w + -21. Let c = 63 - u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -10*t**5\/3 - 704*t**4\/3 + 9250*t**3 + 69332*t**2\/3 + 52648*t\/3 + 3920 = 0.\nAnswer: -98, -1, -2\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1847950 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 18, 9, 0, -9?\n\"Answer: -9*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {k: 1, p: 1, h: 1, d: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*sqrt(96)\/sqrt(2))**2 + ((-1*sqrt(288))\/sqrt(6))**2 + sqrt(48) - (-1*sqrt(135)*-4)\/(sqrt(45)\/(-2*sqrt(9))).\nAnswer: 28*sqrt(3) + 815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 31*p**2 - 4670*p**3 - 27*p**2 - p**3 + 0*p**3 - p**3 + (0 + 2*p + 0)*(0*p**2 + 0*p**2 - p**2).\nAnswer: -4674*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - m)*(0*m - 5*m + 4*m)*(-19 + 1 - 4)*(1 - 4 + 2).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189594*n**5 + 129296*n.\nAnswer: -3791880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66145 divided by -1\nAnswer: 66145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**3 + 1792*u**2 + 10742*u wrt u.\nAnswer: -6*u + 3584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1500 and 103\/750.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 873 + 479 + 394.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.83987 minutes to hours.\nAnswer: 3.7306645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -750215.01 rounded to the nearest 100?\nAnswer: -750200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -19 + 19 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 - t**2)*(5*t**2 - 7*t**2 + 4*t**2 + 17).\nAnswer: -2*t**4 - 17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -5*y**2 + 1250. Let f(w) = -1 + 75*w**2 - 79*w**2 + 1. What is f(a(n))?\nAnswer: -400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 1 + j)*(-70*j + 81 - 81) + 25*j**2 + 17*j**2 - 12*j**2.\nAnswer: -40*j**2 - 70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - -49 - 4) + (2 - 0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8311729 + 5391729. What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3894541*-2.\nAnswer: 7789082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2 + k)*(5*k - 85*k - 85*k) to the form r + d*k + b*k**2 and give b.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**4 + 3*r**2 + r - 3. Let b(m) = 2*m**5 + 20*m**4 - 26*m**3 + 68*m**2 + 118*m + 6. Let j(n) = 2*b(n) - 44*t(n). Determine a so that j(a) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, -2\/5, -31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -17.93. Let m = -13524\/17 - -54113\/68. What is the nearest to m in 1\/3, -5, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -64643, 3, -2 in ascending order.\nAnswer: -64643, -54, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 9*q + 12. Suppose k = -3*k + 5*g + 49, 0 = k + g - 1. Calculate m(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 13*d**2 + 27*d - 40. Let l = 6 - 2. What is the remainder when u(-8) is divided by 4*1*22\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z + 1. Let t be o(4). Suppose 7 = 4*g - t. Suppose 3*l = -l + 20. Solve -l*r - 2*u - 3*u = -15, 5*r - 15 = -g*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28222*b**2 - 2 + 0 + 2.\nAnswer: 28222*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - ((39 - -9) + -38)) + 3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - -273. Let g(c) = -1 + z*c**2 - 6 - 350*c**2 + 1 + 13*c. Calculate g(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/5, 0.5, 2\/3, 0.14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 381272 and 0.1?\nAnswer: 38127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420541 + -241?\nAnswer: 420300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180))\/sqrt(6))\/(-2*sqrt(10)*1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9151?\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i**2. Let m(w) = -67*w**2 - 67*w**2 + 132*w**2. Calculate a(m(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47040 divided by -16?\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61557531 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3891, -3898, -3907, -3918, -3931, -3946, -3963?\n\"Answer: -h**2 - 4*h - 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgb when three letters picked without replacement from {p: 2, i: 1, m: 1, g: 1, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 3. Let g be u(3). Suppose 2*r - f = -r - 228, 4*f = g. Let n = 4 - r. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-14))\/((-25)\/(-1050)*-9). Calculate the highest common factor of h and 5568.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 2569385?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, q: 4, k: 8, g: 2}. Give prob of picking 2 g and 2 k.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/56*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 50246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17155625 - -1?\nAnswer: 17155626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*g - 17, 5*f - g = g - 34. What are the prime factors of (f\/(-6))\/(5\/((-1890)\/(-12)))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.144535 - 0.5.\nAnswer: -0.355465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/8342332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(-3 + -1). Which is the second smallest value? (a) -0.2 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6010086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:26 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2, 4\/3, 17, -924.6?\nAnswer: -924.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(0*u + 0*u - 2*u)*(-1199*u + 169*u**2 - 1203*u + 2402*u).\nAnswer: -338*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1800 or -8999\/5?\nAnswer: -8999\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -25, -33, -41, -49, -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g**2. Let s(f) be the third derivative of 0*f + 0 + 0*f**3 - 56*f**2 + 1\/24*f**4. Determine o(s(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (14 + -4)) + 6 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.186 + 5.2662. What is t rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m - 9 + 1\/4*m**2.\nAnswer: (m - 18)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Let k be (i\/(-4))\/(2\/52). Let s = k - -21. What is the greatest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247856203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.7 - -14.7. Let h = -7.6 + 1.6. Sort 1, v, h in increasing order.\nAnswer: h, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = -8816774 + 8812286 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5264 and 11404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10954 + -9733. What is the greatest common divisor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**3\/3 + y**2 + 3. Let i be n(-2). Let d = i - -16. Solve -2*j - 3*l - 3 = -0, 3*j + 5*l = -d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -8.4. Which is the nearest to -0.03? (a) 0 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/9 + 5*r**2\/3 + 5026*r\/9 + 21560\/3.\nAnswer: -(r - 84)*(r + 14)*(r + 55)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/11)\/c*c)\/c**(2\/25))\/(c**2\/c)**48)**41 assuming c is positive.\nAnswer: c**(-540052\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 3*m = -49*g, 4*g = -2*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2094, -4263, -6520, -8895, -11418, -14119, -17028?\nAnswer: -20175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 16. Let p(y) = 15*y - 84. Determine -2*p(n) - 11*w(n).\nAnswer: 3*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 22\/3*k**3 - 2*k**2 - 94\/5*k**5 + 0*k - 2*k**4 + 14*k**6 + 2. Determine i, given that h(i) = 0.\nAnswer: -1\/2, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1*(1 - 3))\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*v + 6 = 2, -3*v + 21 = 3*m. Let o be (-4)\/m - (8\/(-6) - -1). Calculate the remainder when (63\/5)\/(o\/(-5)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*v**2 + 4016*v**2 - 1345*v**2 - 1339*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9201135 rounded to 2 decimal places?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10132930 or -0.1?\nAnswer: -10132930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*r + 3*d, -4*d = -r - 9*d + 18. Suppose 144 = r*c + 135. Let u(q) = 0 + 7 - 3*q - 4. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011001111011110001 (base 2) to base 5\nAnswer: -130134023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 9. Let p be t(7). Let s be (18\/(-30))\/(p\/(-10)). What is the tens digit of 56\/s - (-6)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + 8*(-4)\/8. Solve -4*k + 4 = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12916 = 558*v - 2180*v - 11414 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 286*n + 9778. What is r(57)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 43. Let d(h) = -2*h**3 - 9*h**2 - 4*h - 14. What is the tens digit of d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-48))\/(((-15)\/(-6))\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:01 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 94*z - 3. Let t be r(-2). Let h = -1721\/9 - t. Let g = 2 - 1. Which is the biggest value? (a) g (b) 1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111101110101101 (base 2) in base 13?\nAnswer: -47204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 62089. Let x(i) = 39*i**2. What is a(x(l))?\nAnswer: 195*l**2 + 62089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11*h)\/(h*h\/h**9))**(15\/2) assuming h is positive.\nAnswer: h**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 848.\nAnswer: 9328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43200446573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*k - o, -2*o - 2*o + 2 = 2*k. Suppose 8*t - k*t = 6. Suppose -12 = 2*y + 4*l, -t*l = -3*y + 2*l + 22. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 - 151 - 179 + 19)*(1 - 3*j - 1)*(-2 + 0 + 5)*(-5*j**2 - j + j).\nAnswer: -17640*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 52*d + 0*d**3 + 1\/15*d**6 - 32\/9*d**4 + 0 - 47\/15*d**5 + 0*d**2. Find a such that l(a) = 0.\nAnswer: -2\/3, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1365*l - 1368*l + 7*g - 103 = 0, -53 = -3*l - 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 4*c. Suppose c = j + 5*w - 38, -2*j + 5*w + 172 - 66 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*a + 6*a + 36, 3*u - 12 = 0. Let x be (-1 + 2)*(a + -16). Let l be (-272)\/9 + 6\/27. Are x and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16674 and 4.\nAnswer: 33348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*m**2 + 99264*m**3 + 97*m**2 - 292*m**2 + 98*m**2.\nAnswer: 99264*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 24*c + 70. Let w be y(-3). Let z(p) be the first derivative of -32*p**2 - 18*p + 2. List the prime factors of z(w).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 1. Let y be r(-1). Let w be 4\/(-14) + 4\/14. Let j be (w - -1)*(2699998 + y). Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. Calculate the common denominator of 47\/y + -3 + 2 and -59\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-72 + 1 + (-12 - -37))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 30 - 35\/2*c + 5\/2*c**2 = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/10728 and -19\/5598.\nAnswer: 3336408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5733, 0.2, 20, -0.5, 11 in decreasing order.\nAnswer: 5733, 20, 11, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3 + 5 - 65263107*c + 65263105*c. Let t = -4 + 6. Let j(g) = -g**2 + g - 1. Give t*j(s) + u(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010100011000001101 (base 2) in base 9?\nAnswer: -7500360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 388039392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*j**2 - 261*j - 25*j**2 - 17*j**2 - 2 - 15677*j**3 + 2*j**4 + 15675*j**3 in the form l*j**2 + q*j**3 + p*j + z + r*j**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**3*c**2 - 8*b**3 - 155*b**2*c**4 - b - 28*c wrt c?\nAnswer: 16*b**3 - 1860*b**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8061 and 13.\nAnswer: 104793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12\/127, -790 in decreasing order.\nAnswer: 5, 12\/127, -790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 28*p + 80 = -9*p - 8*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 + (2 - 6 + 3)*(0 - 3 + 1) + 2 + 18 + 14)*(58 + 29*k**2 - 57 + 19*k**2).\nAnswer: 1776*k**2 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 10, 2.\nAnswer: 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-25))\/(21\/(-70)). Factor -14\/3*q - 4\/9 - 40\/3*q**h - 50\/9*q**3.\nAnswer: -2*(q + 2)*(5*q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1066, -2207, -3348, -4489, -5630, -6771?\n\"Answer: -1141*h + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) -1.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 22*l + 674. Let q(i) = 8*i + 337. Determine -2*g(t) + 5*q(t).\nAnswer: -4*t + 337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 16 - (-1 - -6 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23408 divided by 3\nAnswer: -23408\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8115834 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2150 and 43\/30?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 50*n**2 + 37*n - 386. Calculate m(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - (110 + -6 + 78)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let c = -4 + h. What is the nearest to 0.1 in -1\/6, c, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75032892?\nAnswer: 2, 3, 11, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b68 + -12?\nAnswer: b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 3157465192.\nAnswer: -3157465191.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.77667497 to 3 dps.\nAnswer: -247.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1953086, -7812376, -17577860, -31249538, -48827410, -70311476?\nAnswer: -95701736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2787 - 2790 + 8369 - 5739*b - 2792 to the form y + r*b and give r.\nAnswer: -5739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 11*v**2 - 4*v - 58. Let y(c) = -c**3 + 4*c**2 + c - 2. What is the lowest common multiple of q(10) and y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 3:15 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/7 - 176*c**2\/7 - 4*c\/7 + 176\/7.\nAnswer: 4*(c - 44)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + u - 4 = 0, -5*u + 0 - 4 = -2*d. Let b(o) = 82*o**2 + 28*o + 54. Let r be b(-2). Let k = r + -319. Sort 0.2, d, k, 3 in descending order.\nAnswer: k, 3, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30*r = 31*r - 2550, 3*r = -i + 866. What is the highest common divisor of 7420 and i?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*p**2 - 1769*p**2 + 884*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*r**3 - r**2 - 6*r**2 + 50*r**3 - 22*r**3 + 1 to the form c*r**2 + s*r**3 + x + p*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -992667 - -992669. Factor 28\/3*i + 2\/3*i**n - 34.\nAnswer: 2*(i - 3)*(i + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-6))\/(117\/78)*48\/92)\/4\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64665 or 64667?\nAnswer: 64665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from oohooyongyog.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4663 + 7050. Suppose -36*x + 49*x = y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f**3 + 0*f**6 + 1\/48*f**8 + 0*f + 9*f**2 + 1\/6*f**5 + 0*f**7 + 0*f**4 + 0. Find the third derivative of z(b) wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -85 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 1 - 1\/3*y**3 - y - 1\/4*y**4 - y**2. What is the units digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Let v(h) = -23*h**4 + 24*h**3 - 53*h**2 + 24*h + 11. Let z(m) = -4*m**4 + 4*m**3 - 9*m**2 + 4*m + 2. Let u(k) = y*v(k) - 34*z(k). Factor u(r).\nAnswer: -2*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213022 - -2?\nAnswer: 1213030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6524.329 minutes to nanoseconds.\nAnswer: 391459740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 527, 2051, 4603, 8189, 12815, 18487, 25211, 32993?\n\"Answer: f**3 + 508*f**2 - 7*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-782*c - 363*c + 1646*c)*(-c**2 + 0*c**2 - c**2).\nAnswer: -1002*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093 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 t = -5654 - -5654.026315. What is t rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 8) to base 3\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1407475 * -1.2.\nAnswer: 1688970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*k + 2*r + 2, 0 = -k - 2*r + 4. Let m(j) = j**3 - j + 15. Let d be m(k). Let c(z) = -15 + d - 2*z. Let b(q) = 3*q. Calculate b(c(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 26*n**2 + 4*n - 21. What is the units digit of k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -l + 5, 2*l + 2*l - 20 = 4*c. Let t = 0 + c. Suppose t*s + 2*s = 28. Calculate the remainder when 26 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m + 2 - 1\/12*m**4 + 0*m**2 + 0*m**3. Let i(s) be the first derivative of g(s). Let t(v) = -2*v**2. Give t(i(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 100, 105?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:42 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x - 15 = 0. Let d = x + 6. What is the third derivative of -3*q + q**2 + q**4 + d*q wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 12:14 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16011.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 491 = -499 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = x - 6*s - 63, 189 = 3*x - s. Calculate the greatest common divisor of x and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 12. Let l be -3 + 1 + (b + -1 - -2). Suppose l*s + 997 = 3*x + 346, -2*x + 422 = s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558734664 to the power of 1\/2, to the nearest integer?\nAnswer: 50584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-4) - (0\/(-11) - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001678 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, y: 1, a: 1, z: 1}. What is prob of sequence zo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 5, r: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 17656906824045*l**5 - 35313776064150*l**4 - 75167860*l**3 - 40*l**2 = 0. What is l?\nAnswer: -2\/1879197, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/5 - 4694*k**4\/5 - 3687786*k**3\/5 - 981868738*k**2\/5 - 1890916556*k = 0. Calculate k.\nAnswer: -779, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3133682 by -29.\nAnswer: 108058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:29 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 17*x**4\/12 - x**3\/2 - 2*x**2. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.064.\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 6*q**2 + 8*q**2)*((4*q**2 - 2*q**2 - q**2)*(-4*q - 1 + 1) - 8*q**3 + 0 + 1 + 9*q**3).\nAnswer: -18*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100101100011?\nAnswer: 100101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 13) to base 14\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.05 - -11. Let b = q - 1.95. What is the third smallest value in b, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1670 + -247 + -1 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16902 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 105. Put h, 1, -5, 2 in increasing order.\nAnswer: -5, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 629, 4200, 7757, 11294, 14805, 18284?\n\"Answer: -w**3 - w**2 + 3581*w - 2950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 1.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1243, 2478, 3713?\n\"Answer: 1235*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 2*y**2 + 3*y**4 - 3*y**4 + 4*y**4 - y**4 - y**4 + (3*y**2 - 4*y**2 - 2*y**2)*(4*y + 2*y**2 - 4*y) - 23 + 3*y**3 - y**4 + 23.\nAnswer: -6*y**4 + 3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/342*(-3)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 111 = -161. Suppose -9*v + 4*v = -30. Calculate the highest common factor of k and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002784314 to five decimal places.\nAnswer: 0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 - 3*q - 3. Let h be n(-5). Solve -4*j - 3*k + 13 = -0*k, h*j + 2*k - 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-315)\/30*6\/(-90)*-10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4110301704 a multiple of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2017, 4026, 6035, 8044, 10053?\nAnswer: 12062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*q**3 - 32*q**3 + 3*q**5 - 20*q wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242282?\nAnswer: 2, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644751 is divided by 868.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -62, -97, -132?\n\"Answer: -35*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1\/3)\/l))\/l**(-3))\/(l\/l**(-2\/7))**(-1\/13) assuming l is positive.\nAnswer: l**(1483\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 + 104*m**2 + 685*m + 582 = 0. What is m?\nAnswer: -97, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284900 and 595700?\nAnswer: 6552700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8731, -2, -123, 3, -3, -4.\nAnswer: -8731, -123, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(66)\/sqrt(6)*3).\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -30. Let r be (o - 0)\/(1\/12). What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/733 + 5403\/245555. Let l = d + 2406\/335. Find the common denominator of 37\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35169 * 1.7.\nAnswer: -59787.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72624 divided by 89\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1)\/2*38. Let o be (3\/(-2))\/(15\/m). Solve 0 = -2*q + o - 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1354 + -1109. Calculate the greatest common divisor of t and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74133059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 125\/3. Let h = -0.2 + -1.8. Which is the nearest to z? (a) h (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o, 12*o + 6 = 4*c + 17*o - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than 7557139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfqqqqqqfqq. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 21*k**2 + 18*k + 35. Let s be h(20). Calculate the remainder when s - (-4)\/((-32)\/(-1272)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3 + 4*a**2 + 10*a - 4. Let n(o) = o**2 + o - 1. Suppose -1 = 3*l - 4. Let i(u) = l*m(u) - 4*n(u). Find the second derivative of i(w) wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-175)\/(-14))\/(1 + 111\/(-114)). Let h = 913 - j. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 0.1755.\nAnswer: 0.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017600064 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -4, 1, 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -31 - 4. Let u(i) be the third derivative of -i**5\/60 - i**4\/3 - 3*i**2. What is the remainder when f is divided by u(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -44. Let d = 10.69 + q. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 7*d - 286816. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 13295*q**2\/4 - 46561*q\/2 - 26604.\nAnswer: (q - 8)*(q + 1)*(q + 13302)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303907?\nAnswer: 303907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, o: 3, d: 2, e: 2, b: 2}. What is prob of picking 2 b and 1 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-4 + 1 + 4)*(28 - 37 + 16 - 2*p)*(-p + 3*p - 3*p).\nAnswer: 2*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-169 - -228 - (-33 - -5)) + -25?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*4*sqrt(448) + 2 + -1*sqrt(448)*6 + 6*(-1*sqrt(448) + sqrt(448)))**2*-4.\nAnswer: -867341 + 2816*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f)**(-30) assuming f is positive.\nAnswer: f**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let p be x(-3). Suppose 4 - 16 = p*b. Let d be 1*(b + 6 + -30003). What is d rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-27))\/(-2) + (-6)\/9. Is y at least as big as -28\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q\/q**15*q)\/q)**(-39)*(q**(-9)*q)**13)**(-1\/63) assuming q is positive.\nAnswer: q**(-325\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 0)*(-k**5 - 2 + 2) + (0*k**2 - k**2 - k**2)*(-6*k**3 + 10*k**3 + 0*k**3) + 1 - 1 + 3*k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - -13) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 18. Let j be k(8). Suppose -3*v + 468 = 7*m - 12*m, -312 = -j*v - 4*m. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -4. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 53. Suppose -5*h + 4 = -3*i, 0 = t*i - 2*h - 0 - 4. Solve 0 = 4*z + 2 + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -27*z - 306. Calculate the remainder when h(-12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322624583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) 8\/5 (b) 4 (c) -5 (d) -0.16 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 60. Solve -i*q = 4*n - 2*q - 25, -4*n + 3*q + 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-52) - 891\/39. Let j = 4.6567 + -0.6567. Which is the nearest to 0? (a) k (b) 3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzxpzxxxzppzzxzzpp. Give prob of sequence pxxz.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -528 in -1\/3, -4, -0.08, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/56)\/(4 - (-294)\/56)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2644, 2857, 3070?\n\"Answer: 213*r + 2431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/5)\/((-42)\/10 + 4). Let f be 39\/q + -1 + (-540)\/66. Let o(a) = -33*a - 12. Is o(f) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-168))\/(-1*8\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10691 smaller than -10692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 6. Let q(g) = g - 22. Let d be q(25). Let a = 5 - 7. Let p = d - a. Give r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -282 + 286. Suppose -3*g = 5*z - 33 - 63, 0 = k*z. What is the least common multiple of 24 and g?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/60 - (-6)\/15. Let i = 13 + 18. Let v = -26 + i. What is the second smallest value in v, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220000102011022 + 1?\nAnswer: 220000102011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(-2\/19)*a*a\/(a*a**(-2\/15))*(a*a**(1\/2))**(-1\/23) assuming a is positive.\nAnswer: a**(38843\/13110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 47*a - 6035. What is the remainder when 913 is divided by j(130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 + w - 1. Let x be l(1). Let i(p) = -4*p**2 + 3*p - 5. Let g be i(x). Let r = -13 - g. Solve m + m - 4 = 2*q, -r*m = 4*q + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 0.6. Suppose -j - 4*h + 5 = 0, 12 - 38 = 2*j - 4*h. Let g be (-2)\/j - (-100)\/(-56). Sort x, 0.3, g.\nAnswer: g, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*m + 11*m - 143*m + 1439*m.\nAnswer: 1900*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3368 + -2708. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50049685 is divided by 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 237*m. Let n(z) = -44*z**2 - z. Give n(x(f)).\nAnswer: -2471436*f**2 - 237*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 43. Let u = 31.9 - m. What is the closest to -1 in u, -5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9 + 9*z - 4 - z**2 - 6. Suppose 6*t - 23*t = -68. What is the units digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 2 z when four letters picked without replacement from wwzzwzbwlzlzwbbzl?\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1291 + -1261 - (357\/27 - (-18)\/(-81)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 638 - 595.6. Let f = i - 53.4. What is the biggest value in f, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 + 5 = 0. Find the common denominator of 29\/10 and 8\/20 - b*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*s = 874*s - 4*l - 3, 3*s + 5*l = -0*l + 60 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 6 = 42. Sort 0, j, 2, -2.\nAnswer: -2, 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -721, -1080, -1437?\nAnswer: -1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 2 v when four letters picked without replacement from qfvfhihvhh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -513.4678 rounded to 2 dps?\nAnswer: -513.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26252382901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483\/18539 or 0?\nAnswer: -483\/18539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13287670 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(-9*(-8)\/3240).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -53. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(143) - sqrt(143) - sqrt(143) - sqrt(143)))\/(sqrt(55)\/sqrt(5)*3 - sqrt(11)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 18928974.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -23 + 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*r + 50, 3*f = -45*r + 49*r + 22. Calculate the remainder when 1472 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82, 173, 292, 451, 662, 937, 1288?\n\"Answer: 2*p**3 + 2*p**2 + 71*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -38624 (base 10) to base 6\nAnswer: -454452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/11, -1381, -3, 2, 2\/3, -2.9, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 247 + -244. Factor 0*w + 0*w + 6*w**d + 15797*w**4 - 15794*w**4 - 3*w**5.\nAnswer: -3*w**3*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 5. Let a be g(-8). Suppose -5*l + 12 + 643 = 5*m, -m = -a*l - 111. Suppose 11*h - m = 8*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 63. Let q be (10\/8)\/(1\/(-6))*(-48)\/60. Solve q = -3*h - z*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7487258 <= 7487260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 3*c - 18, 0 = 17683*h - 17687*h - 5*c - 14 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175191 and 4899.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k + 1. Let l(d) = 7*d**2 + 5. Let r(u) = -4*u**2 - 3. Let a(p) = 6*l(p) + 10*r(p). Give b(a(n)).\nAnswer: -20*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 6)*((2*q - 5*q + q)*(3 + 4 - 5) + q - 5*q + 2*q).\nAnswer: -90*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r = -18*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 - 9*s + 3. Let g(z) = 38*z**2 + 2*z - 19*z + 5 - 19*z**2. Let d(x) = -3*g(x) + 5*t(x). Find the second derivative of d(k) wrt k.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1745 = 5*n + 1591, -n + 101*w - 172 = 0 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 377074786.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-26) + 500\/130. Let v(k) = -5*k - 5*k**2 + 0*k + 2 - 5*k + 4*k + k**3. Let n be v(6). Solve 3*g - 7*g = -n*q - 20, 5*q + 26 = u*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/((-3)\/9*-3). Let o = d - -22. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1279, 22\/5, 3, 0.4?\nAnswer: -1279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2888407*b*g**2*z**3 + 12*b*g**2*z + 2*g**2*z**3 + 233*g**2*z**2 - 237*g**2 wrt z?\nAnswer: -17330442*b*g**2 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let v = b - -1. Is (-356)\/(-6) + v\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4304634143 rounded to 5 decimal places?\nAnswer: 0.43046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 944367 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16*(20\/8 - 3). Let o = -5 + y. Suppose -r + 2 = -o*r. Is r at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 3, 1, -3, 539, -6 in decreasing order.\nAnswer: 539, 3, 2, 1, 0.3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 54 = 18. Suppose -2*i - 3*d = -791 - 51, 4*d = s. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 13*b - 13. Let h be ((-11)\/(-2))\/(-5 + 9\/2). Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**2 - 9*w**2 + 31*w**2 - 8*w**2 + 3 + 142*w - 5 to x*w**2 + i*w + g and give i.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 40 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -682*t**4 - 67520*t**3 - 1565388*t**2 + 5317056*t + 15606 = 0.\nAnswer: -51, -1\/341, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*k - 42 = -1428 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92\/3 + 31. Let p(b) be the first derivative of 0*b**2 + 2 - n*b**3 + 0*b. Let c(o) = -o. What is p(c(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -40. Let h(y) = -19*y - 13. List the prime factors of h(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:37 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 31*s - 104. Let l be i(-46). Let o = 537 - l. Are o and -49 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 10*z**2 - 11*z + 16. What is x(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, 2\/21, -0.05?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 180 - 89 + x - 93. Let n(q) = -q**2 - 7*q - 6. Let j be n(-4). Calculate r(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 463583*b**3*i**6 + 5158*b**3*i**2 - b**3 + 9*b*i**2 wrt i.\nAnswer: 55629960*b**3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 86*r - 4200.\nAnswer: (r - 300)*(r + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*2\/6. Let q be 2 - ((-15)\/(-8) + 9 + -9). Which is the third biggest value? (a) l (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 7:51 AM?\nAnswer: 169","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is (253\/(-198))\/(((-341)\/(-66))\/31)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(4 + (-4 + sqrt(72) - sqrt(72))*-5*6)*1 + 5).\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 18 + 3*v - 1 - 15 to the form h*v + n and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 5, 2602792.\nAnswer: -2, -0.4, 5, 2602792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - k**3 + k**2\/2 - 2*k. Let d be n(6). What is the units digit of 2 - (0 + (d - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + m - 2. Suppose -l = 3*l + 12. Let f be x(l). Is f equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*q - 15304 = 0, -704*q + 708*q + 45976 = 3*w. Is 216 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/1577, -1\/3, -3, -4?\nAnswer: 2\/1577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 209 + -5?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2676749*r**4 - 3*r**2 - 2*r - 30552099 wrt r.\nAnswer: 10706996*r**3 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*n = 0, -2*n = -4*r + 2*n. Let o(c) = c**2 + c + 8. Let g be o(r). Suppose s = -s + g. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**3 + 16*o**2 + 2*o wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91)*1 + sqrt(91))*2) + sqrt(91))*1)\/(sqrt(14)\/((sqrt(98)*2 - sqrt(98)) + sqrt(2))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -86769?\nAnswer: 86821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.75 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -574304203, -574304204, -574304205, -574304206?\n\"Answer: -k - 574304202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -39?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88.1 - -88.3. Let z = 1.6 - 0.7. Let j = 0.1 + z. What is the second smallest value in -2, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24300262 (base 8) in base 9?\nAnswer: -11040866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 + 8*n - 3. Let y be x(4). Let l = y + 81. Let h(q) = q**3 + 2*q**2 - 3. Let g(s) = -2*s**3 - 5*s**2 + 7. What is l*g(p) - 5*h(p)?\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 12124*n**2 + 6674736*n.\nAnswer: 4*n*(n - 2308)*(n - 723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/35 and 61\/68055.\nAnswer: 476385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/4 - (-2)\/(-4). Let u(g) = g**3 + 8*g**2 - 3*g. Let t be u(0). Let q(p) = p + 30. Let m be q(-10). Solve -z*r - m = -t*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/4 - 4*i**3\/3 - 5*i**2\/2 - i + 17. Let o be h(6). Let v = 55 - o. Calculate the lowest common multiple of 32 and v.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Suppose -5*q = -0*q - 20, s*w - 4*q = -52. Suppose -5*c - 9 = -14*c. Put w, c, -1 in descending order.\nAnswer: c, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/21*9 - (-10134)\/32. Let a = p - 319. What is the common denominator of ((-4)\/(-54))\/(8\/129) and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10324 - -35129. Let h = 24925.07 - m. Let t = 121 - h. Round t to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5\/4 + 45*o**4\/4 - 65*o**3\/4 - 125*o**2\/4 + 60*o - 25 = 0.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.2849 + -6.917. What is b rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/120 + a**5\/12 + a**4\/12 - 7*a**3\/6 - 5*a**2. Let i be x(5). Let p(t) = -t**3 + 3*t**2 - t - 1. Determine p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + -14 + 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 + 2*v**2 - 7*v**2 + (-2*v + 2*v - 2*v)*(-13*v - 138 + 138) + (0*v + 0*v - v)*(4*v + 4*v - 5*v).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -510324 - -510356. Let w(v) = v**3 + 4*v**2 - v. Calculate the least common multiple of p and w(3).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let o(w) = 218*w. Determine o(c(g)).\nAnswer: 218*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 12*v**2 + 3. Let h be n(12). Solve 5 = h*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 55*p**3\/3 + p**2\/2 - p - 2. Suppose 5*l - 4*t = -11, 5*l + 2*t - 12 = 1. Is o(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5551 * 50\nAnswer: 27.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 780 or 3\/7?\nAnswer: 780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 7*g**2 + 5*g - 5. Let b be h(-8). Let p = 8 + 29. Calculate the remainder when p is divided by (1 + -1)*1 + b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*f - 11*f. Sort -4, -1, f.\nAnswer: -4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-12)*(1287\/110)\/(-13). Sort -0.4, 0.4, 0.2, p in increasing order.\nAnswer: -0.4, 0.2, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5771466 times 0.4\nAnswer: 2308586.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 502704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b - 3*b)*(1 + 5 - 5 + 5 - 2 + 3 + (-1 - 2 + 4)*(1 - 1 - 1) + (-4 - 2 + 4)*(-2 + 1 - 1)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 0 - (-1 + sqrt(13))*-3.\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 919544089.\nAnswer: 919544089.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 2\/11, 0.1.\nAnswer: -1, 0.1, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-30)\/(-36).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 4 = -19*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.034 - 0.634. Let h = 0.599986 + k. Round h to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -154 - -4?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11623 is divided by 614?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 39*b**2 + 205*b - 10. Determine d(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 5 + 9064*d - 6.\nAnswer: 9064*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329452718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: a06653 (base 11) to base 10\nAnswer: 1619280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 691 = -2*p + 680, -3*p = 9*b + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 times -0.02?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13914528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -991*d + 329*d + 332*d - d**2 + 338*d - 9. Suppose 4*n + 13 = 2*x - 3*x, -8 = -4*x - 4*n. What is c(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -33 - (373 + -250 - 18)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5633, -5630, -5627, -5624, -5621, -5618?\n\"Answer: 3*o - 5636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -7, -8 in decreasing order.\nAnswer: -1, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5\/7)*w**8)\/(w*w*w**(-2))**(5\/14)*(w**4*w*w**(2\/21))**(27\/7) assuming w is positive.\nAnswer: w**(1439\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 12*x**2 - 11*x - 1. Let i be p(11). Suppose 0 = -10*h + 44*h + 102. Let r = -192 + 187. Put i, h, r, 0 in decreasing order.\nAnswer: 0, i, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/546 and 69\/6029408?\nAnswer: 235146912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 - -2)) + (-3 - -12 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474866 (base 9) to base 12.\nAnswer: 119443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**0*b)))**(-28)\/((b**(-4)\/b)\/(b**3\/b*b*b)) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.33387 times -0.6?\nAnswer: -191.600322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((-704)\/(-33))\/16.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 12037.\nAnswer: 12037.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*c - 2*r - 3*r, r + 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(c*c**(6\/11))\/c*c)*c*c*c*c\/(c\/(c\/(c*(((c**(-14)*c)\/c)\/c)\/c)))*c assuming c is positive.\nAnswer: c**(203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -44*t + 32723. What are the prime factors of t?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/7 - (-420)\/(-21)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 300 - 2*k + 3*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 47. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/2 - 925856*g + 617238 = 0 for g.\nAnswer: -617238, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c81241 (base 14) to base 8.\nAnswer: -31633571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 11203\/63?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000363287951 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -46*d**2 - 128*d - 386. Let c(n) = -5*n**2 - 14*n - 43. Let x(h) = -28*c(h) + 3*m(h). Determine x(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.8743 years to decades.\nAnswer: 16.18743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 1000503*o**4 + 250253064003*o**3 + 750753189001*o**2 + 750751188000*o + 250250062500.\nAnswer: (o + 1)**3*(o + 500250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbubbbbubbubuu. What is prob of picking 4 b?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - j**2 + 3 - 1)*(-4*j**2 + 3*j**2 + 5*j**2) in the form y*j**2 + v + k*j**3 + a*j**4 + n*j and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106781*f*n**2*y - 23*f*n*y + 27*f*n + 17*f*x*y**2 + n**2*x*y**2 + 33*n**2*x + 6*n*x*y**2 - 111*n*y**2 wrt n?\nAnswer: -213562*f*y + 2*x*y**2 + 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1113, -3046, -4937, -6792, -8617, -10418, -12201?\n\"Answer: -d**3 + 27*d**2 - 2007*d + 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 12) to base 4\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20132102123 (base 4) in base 5?\nAnswer: 1032034321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 161, 178, 197?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/(-6)*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18591b (base 12) to base 14\nAnswer: -b0aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**3 - 29*t**2 - 8*t - 1169. Let l(s) = 3*s**3 - 10*s**2 - 3*s - 390. Let b(h) = 11*l(h) - 4*u(h). Does 20 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/29)*q**(-17\/2)*(q\/(q\/(q\/q**7*q)*q))**(-1) assuming q is positive.\nAnswer: q**(-143\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.17 and -3.001.\nAnswer: -4.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12512738.\nAnswer: 2, 7, 127681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914 divided by -3?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 53. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:25 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 26, 0 in ascending order.\nAnswer: -104, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 228\/270 + 8\/(-18). Suppose -5*w - 3 - 36 = 2*y, 4*w = 12. Let t = -26 - y. Which is the closest to t? (a) -5 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/63 - (-1220)\/420.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7331073608.\nAnswer: 2, 17, 53904953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/3 - 7\/3. Let i = -821 + 4915\/6. Let b = x + i. Is b <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -33, 1, -70, -4 in descending order.\nAnswer: 8, 1, -4, -33, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 7*a**3 + 69*a**2 + 63*a - 540 = 0. Calculate a.\nAnswer: -12, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let l(c) = 6*c**2 + c - 5*c**2 - 2*c**2 + 4*c**2. Let u be l(d). Solve 0 = -u*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b - l = 126*b - 4, 5*b + 2*l = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 51. Let x be k(17). Suppose 20 = -4*p, 5*o + p - 6*p = 20. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.78958 - 0.11042. Let p = 4 + 0. Put p, 0.5, y, 1\/4 in increasing order.\nAnswer: y, 1\/4, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 3?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/9 + -13 + 33?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/87)*i*i*i**(4\/19)*i)**20)**4 assuming i is positive.\nAnswer: i**(559840\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 120 - 20 + 19 - 3*c - 3*c in the form s + r*c and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -25. Solve -3*s + 0 + d = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 763 + -484. Suppose -5*l + 0*w - w = -274, -4*w = -5*l + t. What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -11\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*c**3 + 431838*c**2 - 2219986620*c - 634317144 = 0. Calculate c.\nAnswer: -2\/7, 10282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2303 + 132?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2. Let c(w) = 5*w**2 - 10220*w. Give c(q(j)).\nAnswer: 180*j**4 + 61320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + 10 + 8) - 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111021 + -121?\nAnswer: -111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -v + 87, -3*l - 74 = v. Is -28 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/sqrt(588) + (1*sqrt(171) - sqrt(171))\/sqrt(3))\/(sqrt(3) - sqrt(3)*-4*2 - (sqrt(3) + sqrt(75)*5)).\nAnswer: -sqrt(19)\/119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8723071381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.023 and 1176.\nAnswer: 1175.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 3*w**2 + 10*w**2)*(20*w**2 - 34*w**2 + 16*w**2) + 2*w - 2*w - 4*w**4 + (-2*w**2 - w**3 + 2*w**2)*(0*w - 3*w + 4*w) + 3 + w**4 - 3.\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + c**2 - 2 - 2 + 2 + 3*c**2 + (2*c - 3*c - 2*c)*(2*c + 1 - 1))*(39 - 39 + 29*c).\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -921 - -921.1. Which is the second smallest value? (a) 6 (b) -5 (c) 5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.12, 3367, -2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -66938, -11, 1, 52 in increasing order.\nAnswer: -66938, -11, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeeeexxe. What is prob of picking 4 e?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15640680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0.1, -3.7, 4 in increasing order.\nAnswer: -3.7, -1, 0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 5*x - 4. Suppose 6*j = -13 - 23. Let c be k(j). Solve -3*i + c*s + 7 = -6*i, -3*i + 3*s = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8126539.\nAnswer: 8126539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128550888?\nAnswer: 2, 3, 89, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/4 + w**3\/2 + 3*w**2\/2 + 345*w. What is q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*2.9.\nAnswer: 0.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0237*-59.4055.\nAnswer: -1.40791035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*c**2 + 107*c**2 + 140*c**2.\nAnswer: 446*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*j**2 - 1524*b*j + 2*b + 2*j**2 - 23*j - 3487 wrt j.\nAnswer: -4*b*j - 1524*b + 4*j - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 160. Determine t(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*u = -8, 5*c = -2*u - u - 6. Suppose c = -3*b - 2*b - 225. What are the prime factors of (-8)\/10*b\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-210))\/((-256)\/320).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 33*q**2 + 3*q - 3. Let k(c) = 100*c**2 + 10*c - 10. What is 3*k(d) - 10*t(d)?\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 + 12257\/54. Let w = -2.185 - -0.185. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.8638569 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c*l*u + 2*c*u + 135*c - 5*l**4*u - 54*l**2 + u + 2 wrt l?\nAnswer: -5*c*u - 20*l**3*u - 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p + 11. Let b = -9 + 20. Is d(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*b + 143 = 0, -s + 3*b = -5*s - 457. Let i = 592\/5 + s. Solve 1\/5*k**4 + i - 1\/5*k + 1\/5*k**3 - 3\/5*k**2 = 0 for k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 0.5 (c) 0.3 (d) -1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 459742041*w**2 - 22*w - 459742048*w**2 + 38*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45403, -45585, -45777, -45985, -46215, -46473, -46765?\nAnswer: -47097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*b = 0, 5*l - l + 2*b = 0. Calculate the common denominator of l + 126\/(-68) + -6 + 9 and 23\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/((-11)\/(-22)). Suppose 53 = 4*s + m*q, -4*q + 45 = 5*s - 2*q. What is the third derivative of -3*z**2 + 7*z**5 - s*z**5 + z**2 - 6*z**6 wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1512 and -1?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**3 - 69*f**2 + 27*f - 10. What is the remainder when 786 is divided by j(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113\/3 + 37. Which is the nearest to 1\/2? (a) 3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 3. Let h be j(3). Let u be 7*h*1\/2. Let i = -15 + u. Solve 2*a = s - 0*s + 6, 0 = -3*s - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195999786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.542075853 rounded to 4 decimal places?\nAnswer: 6.5421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -0.2, -0.07, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*g = 15, 3*g + 25 = 3*y + g. Suppose -j - 2*q + 1630 = -817, q - y = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 42 + 10. Let k(j) = 2*j + 27. Let a be k(u). Let z(h) = -h**2 - 17. Let c(b) = 6. Let t(q) = 17*c(q) + 6*z(q). Calculate t(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-1 + (-272694)\/52). Let u = i + -5247. Let y = 1651\/70 - -32\/35. Calculate the common denominator of u and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:01 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 - 8) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-86)*(-1260)\/(-30).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1883 divided by 1\nAnswer: -1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a. What is x(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8487614 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 + 158. Solve b*h = -8 - 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 2 - 2 + 16*p - 14*p + 4.\nAnswer: -16*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s + 8. Let v(m) = 30 + m - 40 + 11. Calculate -q(i) + 10*v(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.103488nm?\nAnswer: 0.000000006103488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*t - 48, 3*t = 4*l + 6*t - 108. Let y = l + -34. Is y >= -13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-627)\/(-55) - (-3)\/5. What is the greatest common factor of 42 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 1\/195*c**5 + 0 - 1\/780*c**6 + 0*c - 1\/156*c**4 + 0*c**3 - 30*c**2. Let d(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 156 = 2*r. What is the remainder when 25 is divided by r\/9 + 4\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b + 2349. Let s be a(-140). Put 2, 4, -6, s in increasing order.\nAnswer: s, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -74\/3 (b) -8 (c) 2 (d) -4\/45 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*b**2 + 16*b**2 + 22*b**2)*(43*b + 0*b + 7 - 23 + 5).\nAnswer: 602*b**3 - 154*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 460 + 148. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 825\/(-230) + (-34)\/(-391). Which is smaller: -20 or x?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -39. Calculate the highest common factor of m and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143820, 287632, 431448, 575268?\n\"Answer: 2*d**2 + 143806*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 42. Solve -4*i - 2 = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -5 (c) -5\/3 (d) 0 (e) -18 (f) 387\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38746, 77469, 116192, 154915?\n\"Answer: 38723*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose -q*x - 86 = -5*k, -90 = -k - 4*k + 5*x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxpppgglqg. Give prob of sequence pgpp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118417 or 118414?\nAnswer: 118417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - 5*h - 23. Let z be m(8). Let f = -4 - -4.5. Let y = f + 1.5. Is y > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -656, -1033, -1410?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13255 + 19996. Let x(q) = -5260*q**2 + 5*q - 5 + q - f*q**2. Let v be x(5). What is v rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 33808807.\nAnswer: -2\/33808807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.175 - 0.075. Let y = 11.2 - c. Let j = 6.10054 - y. What is j rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.84. Let l = 0.04 + t. Let o = -0.2516 + 0.0516. Which is the biggest value? (a) o (b) 8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.217808544 from 15087.\nAnswer: 15087.217808544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 1. Let m be b(-2). Let f(s) = 3*s**3 + 1. Suppose 0*i = -3*i + 9. Let c(o) = 3*o**3 - 5*o**3 + 5*o**3 - o**i. Determine m*f(h) + 4*c(h).\nAnswer: -h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9+-10125\nAnswer: -10116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = q. Let n = q - -4. List the prime factors of (n + (-45)\/12)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 8192, 5, -4, 4, -1.\nAnswer: -4, -2, -1, 3, 4, 5, 8192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7 = -m, 5*o - 6*o + 7 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let c be n(0). Suppose 2*d + 2*d + 8 = c. Let m be 3 + d + (3 - 1). Sort m, -5, -4 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p**3 - p**2 + 8*p + 43. Let r(f) = 30*f**3 - f**2 + 9*f + 54. Give -5*m(i) + 4*r(i).\nAnswer: -35*i**3 + i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -21*h + 300. Is h < 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968497.\nAnswer: 3, 7, 47119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-592)\/333)\/((570\/(-27))\/(-19))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (599 - 68 + 450)*(1 - 2*u - 1) - 2 + u + 2 as o + j*u and give j.\nAnswer: -1961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)\/f)\/(f\/f**(-35)*f))**(-1\/13) assuming f is positive.\nAnswer: f**(193\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13 - 2*y + 16)*(-3*y + 5*y + 0*y)*(-3 + 3 - 2)*(3 + 0 - 4).\nAnswer: -8*y**2 + 92*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1310610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -140 - -4?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(((q\/q**(-1)*q)\/q)\/q*q)\/q)**(-3\/20)*q**(-7)*q*q*(q\/(q\/((q\/((q*q*q**(-4\/3)*q)\/q))\/q)))\/q)**(-43) assuming q is positive.\nAnswer: q**(8987\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6354.49 - -6412. Let x = 48 - -10. Let a = f - x. Round a to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 - 320*z**4 + 3900*z**3 - 9400*z**2 + 5824*z = 0. What is z?\nAnswer: -91, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 154, 232?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(8640) + (sqrt(8640) - (sqrt(8640) - (sqrt(8640)*1 - sqrt(8640)))))\/(sqrt(432)*1) + -2.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 6. Suppose 3*z - a = 6, 3*z = -3*h + 15. Suppose -3*n = -4*n + h. Solve 5 = -7*x + n*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3 - 1. Let s = -4 - p. Let c(b) = -b**2 - 4*b - 3. Let z be c(s). Which is bigger: z or -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.99845 + -78. What is t rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -3, -4, 4, -127?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r**2 - 2*r)*(-2*r + 0*r + r) + (-3*r + 2*r + 0*r)*(-2*r**2 - 2*r + 2*r) + 1090*r**3 - 434*r**3 + 438*r**3.\nAnswer: 1098*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1 - 3))\/(-2). Suppose -2*h = 3*y + 5, -y - 2*y - 9 = g. Suppose h*c + 5*c = 49. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 6 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**4\/g)\/(g\/((g\/(g\/(g**5\/g)*g))\/g*g*g)*g))**(-33\/5))**(1\/11))**(-2\/13) assuming g is positive.\nAnswer: g**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**2 - 1\/3*r**4 - 2*r - 4 - 7\/20*r**5 + 49\/6*r**3. Find the second derivative of t(l) wrt l.\nAnswer: -42*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 - 3*c + 5. Let y(a) = -29*a**2 - 7*a + 35. Let n(x) = -19*x**2 - 5*x + 23. Let g(m) = -8*n(m) + 5*y(m). What is -3*g(w) - 5*l(w)?\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 190, 276, 372, 496, 666, 900?\n\"Answer: 3*q**3 - 13*q**2 + 104*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 11*k - 11. Let x be t(-2). Solve r + 2*c = 0, -x*r + 4*c + 17 + 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233091182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 6*x**2 + x + 6. Let a be y(-6). Let j be (1 - a) + 63\/3. Suppose -34 = -4*c + j. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-48)*16\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 14\/4) + 61 + (-537358)\/9348\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 107*t**3 + 70*t.\nAnswer: -24*t**2 + 642*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043 (base 5) in base 11?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -67.87, 0.094, -8.\nAnswer: -67.87, -8, 0.094, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:45 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891659*x**2 - 2*x**3 - 1891659*x**2 - 2*x + 2*x + 0 + 0.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 60619132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200222220 + -110?\nAnswer: -110201000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*(-9)\/(-2). Suppose 0*c = -u*c. Let v be (-12)\/10 + (-3)\/(-15). Is v at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 41*c**2 - 1618*c - 77. Give n(38).\nAnswer: -2357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 650522063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -5.97. Let a = 10 - h. Let t be 9\/(-3)*(-14 - (-2 + (-296)\/24)). Sort a, t, 11 in descending order.\nAnswer: 11, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.1305 to two decimal places.\nAnswer: -11.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 24a9?\nAnswer: 24a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 55*j**2 + 34*j - 183. Let w be t(27). Let z be (-1)\/2 + 54\/4. What is the third derivative of -w*s**2 - 13 + z - 10*s**5 wrt s?\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171806881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*b + 22*b + 2*z + 34, -z - 8 = -b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(1*(2 + sqrt(704)))**2*-4.\nAnswer: -8499 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*v + 5*s, -27 = -14*v + 17*v + 5*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -11. What is the remainder when 45 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123102, -246206, -369310, -492414, -615518?\n\"Answer: -123104*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/37)\/(664\/(-4233)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5 = 3*k + n, 4*n + 41 = 5*k. Sort -1\/5, 1, k in decreasing order.\nAnswer: k, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 247.039048.\nAnswer: 248.039048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**16*j*j*j**(3\/13)*j)**(-2\/3) assuming j is positive.\nAnswer: j**(-526\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-198)\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422402702 to the power of 1\/3, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 215, -68, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*y - 16*n + 44 = -111*y, 4*y = -n - 5 + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*41.617.\nAnswer: 1914.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 + 4*v - 3. Let c(j) = j**3 + j**2 - j - 1. Let z(n) = n**3 + 2*n**2 - n - 2. Let r(h) = 2*c(h) - z(h). What is b(p) + 4*r(p)?\nAnswer: -3*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -225. Calculate the highest common divisor of m and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -107?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - 540?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 + 51*i**2\/5 + 12*i\/5 - 576\/5.\nAnswer: 3*(i - 3)*(i + 4)*(i + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9222 + 48*t - 13*t + 36*t + 2560.\nAnswer: 71*t + 11782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.17157175 - -23.51457. Let k = b - 0.343. What is k rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose 3*w = 4 + o. Suppose -w*i + 0*c = -c - 123, -5*c + 15 = 0. What is the remainder when i is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from rrhfrhrrrrhhrr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t - 7*t + 10 - 10.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 1 + 6 - 2 + t**3 - 3 as l + z*t**3 + u*t + n*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008341960145 to five decimal places.\nAnswer: -0.00834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -0.41. Let b = 0.0634 + -1.0634. What is the nearest to b in -0.4, x, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**3 - 14*t**2 + 8*t + 8. Let l = 9 - 28. Let z = l - -14. Let d(u) = 4*u**3 - 9*u**2 + 5*u + 5. Calculate z*c(m) + 8*d(m).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5625338020 to the nearest integer?\nAnswer: 75002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*i + 4 = -d, 5*d + i - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 175500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*30\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 275. Let a = x - 10. Let n = a - 17. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, z: 3, t: 2, f: 5}. Give prob of picking 1 f and 1 j.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1973670 - -457.92.\nAnswer: -1973212.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 - 16915*h**2 + 18928600*h - 37789500 = 0.\nAnswer: -4270, 2, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 150?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjffffjffffjffffjff. What is prob of sequence jjjj?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (609\/(-7))\/1*(86\/(-645))\/(2\/10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*q = 0. Solve -2*b = 3*g, q = b - 3*g + 14 - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 5*u**2 - 4*u + 1. Suppose 0 = -3*k - 2*c + 127, 5 = 2*c - 7*c. Suppose 7 = -3*o + k. Calculate the remainder when q(-3) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-52)*-6 - (8 + -3*(-12)\/(-18))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xooxxoxoxxx. Give prob of picking 2 x and 2 o.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = w - 3*k, 10*w - 13*w - 2*k = 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 2 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/361 - 21290\/1083. Suppose -4*m + 157 = -g, 2*m + g - 65 = 18. Find the common denominator of s and ((-82)\/m)\/((-1)\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 - -3 - (-1 + 3 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -195*n + n**2 + 7 + 5*n**2 + 379*n - 189*n. Determine a(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1150088*l. Let x(w) = w. Determine x(o(i)).\nAnswer: -1150088*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 418, 923, 1630, 2539, 3650?\nAnswer: 4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose -1250 = -5*k + 2*r, -5*k + 277 + 998 = 3*r. Let y = -242 + k. Solve -y = -x*m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 29*s**4 + 21*s**3 + 20035*s - 24*s**2 + 11*s**5 + 23*s**2 - 20039*s = 0.\nAnswer: -1, 0, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/19 (c) -5954 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let b = -261838 - -261840. Sort -12, b, o in decreasing order.\nAnswer: b, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*w - 4 = 0, 3*w + 8 = 4*b - 3. Suppose -2*x - 2*p + 70 = -68, x - b*p - 72 = 0. What is the greatest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/295988 and 17\/20.\nAnswer: 1479940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 3, d: 1, p: 7, i: 1}. Give prob of picking 1 v and 2 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4880 + 8714. What is the smallest common multiple of 6 and g?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3269771 is divided by 8515.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 705275766 a multiple of 10062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 - 10*w - 12. Suppose -6*t - 16 = -4*t. Let n be h(t). Solve -3*r + 4*r = 4*x + 12, -n*x = -4*r + 24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + 2. Let i(x) = -4*x**3 - 2*x**2 - x + 7. Suppose 15*t - 13*t - 14 = 0. Let f = -1 + -1. Let l(p) = f*i(p) + t*y(p). Factor l(m).\nAnswer: m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/4 - 111*p**3\/4 + 1621*p**2\/2 - 2241*p + 1458 = 0?\nAnswer: 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -749, -1126, -1503?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 75 = 5*f, -8240 + 8222 = -j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1576*c*y**4 - 211015*c*y**2 + 25*y**4 wrt y?\nAnswer: 37824*c*y + 600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1286, -1355, -1424?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829093 is divided by 206871?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -683500 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 1\/3, 82?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 436 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 104 = 4*z. Let o(t) = 20*t - 56*t + z*t + 22*t. Let m(j) = -4*j + 5. Let r(y) = 5*y - 6. Let b(f) = 6*m(f) + 5*r(f). Give b(o(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -4\/3, -1, 1\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.03 (c) -13\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 160, 319, 482, 655, 844, 1055, 1294?\n\"Answer: s**3 - 4*s**2 + 164*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 3*h**2 + 2*h - 12. Suppose -30 = -6*l - 0. Is 3 a factor of f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 3*f - 3*g, 4*f - 41*g = -36*g + 138 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(1407\/12 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15184*k**5 + 3*k**4 + 94647*k wrt k?\nAnswer: 303680*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -53993469.53 to the nearest ten thousand.\nAnswer: -53990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47764 is divided by 348?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let z = -10 - -10.4. Let k = l - z. What is the second smallest value in -5, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*c**4 + 25*c**4 - 49*c**4 - 3*c - 2*c**2 + c**2 to l + h*c + i*c**3 + j*c**2 + q*c**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 72261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-28))\/(72\/(-84))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-12)*3*4\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(299\/26 + -9). Calculate the highest common factor of 35 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - q**2 + 2*q**2 + 9 - q. Let x be b(3). Let p be 2\/(-8) + 33\/4. Calculate the greatest common divisor of p and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 5*l - 5. Let d(y) = -2*y**2 - 16*y - 16. Determine -5*d(u) + 16*p(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.699 + -77.101. Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(4 - 1 - 2)*(-6 + 17 + 7)*(-2 + 4 + 0).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 1021?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 592261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-453)\/2 - 5\/10)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-7)\/((-7)\/1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/14)*(j*(j**(11\/4)\/j)\/j*j)\/j)\/(j**(-25))**31 assuming j is positive.\nAnswer: j**(21751\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1101013210210?\nAnswer: 1101013210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/33 + (19 - (5 - -10))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/24)\/(4\/114). Suppose -4*j + 7*j - 2*l = i, 4*j + 3*l = -3. What is the third derivative of -2*s**2 + 3*s**j + 2*s**3 - s**2 wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1999 + 3989. Suppose 5*h + l = 5*n, -3*n - 6*h + 1206 = -3*h. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 51. Let a(u) = u**3 - 3*u**2 + 2. Let q be a(3). Solve -q*b = -b + i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 78*s. Let b(o) = o**2. Give b(v(r)).\nAnswer: 6084*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -5. Suppose 0 = 2*s + 6, 4*w + 16 - 64 = -4*s. Suppose 4*m - w = 13. Sort m, i, -2 in ascending order.\nAnswer: -2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7521 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215*(66\/(-15))\/22?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-168)\/27 - 0)*5\/(-20). Which is smaller: u or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 70 = -2*a. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 5*r - 3*r - 9*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2022023864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from rlrlsrlrsrrrrsrlrrrr.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 623700 and 623701 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**2\/3 - 157211618*j\/3 + 44917604\/3 = 0.\nAnswer: 2\/7, 11229401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12379386895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/342*6\/5*15\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385 - -388. Solve 5*t + 2*o - 1 = 0, 2*t - 7 = -r*o - 0*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 4, -4, -28, -74, -148, -256?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 19*(-3)\/(-2 - 1). Let j be ((-12)\/p)\/2*(-2 - -1). Let m = -19 + 18.5. Which is the third biggest value? (a) j (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19756578?\nAnswer: 2, 3, 163, 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + 2*l - 2. Let f be y(-5). Suppose 5*o - 18 = 3*r, -4*r + 0 = -3*o + f. Put r, 0.4, -0.6 in decreasing order.\nAnswer: 0.4, -0.6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/4 + 7*p**3 + 49*p**2 + 51*p + 3277. Give d(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 173, 255, 337?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 0*y**2 - 4*y**2. Let x(v) be the second derivative of v**3\/6 + 11*v. Determine x(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzz when four letters picked without replacement from {c: 9, z: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -101. Let r = k - 55. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.0823, 2\/13 in descending order.\nAnswer: 3, 2\/13, 0.0823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-100))\/((-44 - 25) + 39).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048443172 plus 12?\nAnswer: 8048443184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187775*i**3 + 191830*i**3 - 379606*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 26)\/(-9 + 7). Let u = 70 + c. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -10) - (13 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yff. What is prob of sequence ffy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 25 (c) -78\/11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + (-3 + (0 + 3*sqrt(448)*-1 - 6*sqrt(448)*1*-2))*1)**2.\nAnswer: -576*sqrt(7) + 36307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*551139\nAnswer: -55113.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -112, 5, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - 0. Let d be (0 - 13\/26)*1. Do d and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/32*30\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**7\/210 - 11*v**4\/24 - 4*v**2. Find the second derivative of c(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164953 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*k - 246, 0 = -5*i - 10*k + 5*k + 305. Let p be 4\/(-14) - (1 - (-468)\/(-21)). What is the greatest common factor of p and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/8 + 153*s**2\/8 + 147*s\/4.\nAnswer: 3*s*(s + 2)*(s + 49)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2454, 9802, 22050, 39198, 61246, 88194, 120042?\nAnswer: 156790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2382 or -30960\/13?\nAnswer: -2382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**2*m**2*w**3 + 9*i**2*w**3 + 5*i*m**2*w + i*m*w + 2*m**2*w**3 + 3*m*w**3 wrt m.\nAnswer: 12*i**2*w**3 + 10*i*w + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162084083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-899 + 294 + 289 + 300)*(-2*d - 4 + 4).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m. Let j = -80 + 89. Let c be 0\/(-1) - (8 - j). Let s(q) = -2*q**2 - 4*q - 3. Calculate c*s(v) - 4*u(v).\nAnswer: 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*g - 642*g + 79 = -z, 97 = -8*g - 3*z for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 2, 4, -40.\nAnswer: -40, 2, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 24. Suppose -u = u - b. Factor u*x - 3*x - 260*x**3 + 265*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - 92. Let m(q) = q - 3. Let c be m(9). What is the greatest common factor of c and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391385869 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 129, 256, 383, 510, 637?\n\"Answer: 127*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 591 - 533. Suppose n*a = 53*a + 2145. Calculate the remainder when a is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(((-57)\/133)\/(1\/(-7))). Let n be (-2)\/(-7) + 12\/7. Suppose w = -n*h - 5*x - 33, -3*h = -0*h + 3*x + 27. Let v(k) = -k**2 - 3*k - 5. What is v(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12) - (22\/(-55) - 45\/(-50)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7155*l + 7116*l = -195 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.19 + 9.19. Which is the closest to w? (a) 2\/11 (b) -0.3 (c) 7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let w = 38590.2 + -38590. Which is the third smallest value? (a) 14 (b) n (c) w (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2293733.99934 + 2293777. Let n = -43 + a. Round n to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -50*o**2 - 14*o**3 - 28*o + 39*o**2 + 15*o**3 + 2 + 2. Let w be m(13). Let s be 11\/(w\/(-15)) - 1\/(-2). Solve 2*k + s = -0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 5258269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6256)\/238510*8\/(192\/(-30)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007226 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -513\/653990 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/3 - (-2 + (-5 - -4)). Let y = -7948\/25 + 318. What is the nearest to 2\/11 in y, -4, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-94)\/6 - (-38)\/57. Let p = -1 - -19. Let i = p + m. Put 1, -1, i, -7 in decreasing order.\nAnswer: i, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10712899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + -26)*(-4)\/2. Suppose 2*g + 10 - b = 0. Suppose -g - 1883 = -5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*g + 8418 - 3928 + 11045 = -9815 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/5 - ((-6)\/(-30) - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.33313km to nanometers.\nAnswer: 8333130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002 + -13301331?\nAnswer: -13303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7424*p**2 - 7424*p**2 + 66*p**3 - 36*p**3.\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 90\/1067551 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*t + 71 = 0, 5*c - 5*t - 25 + 105 = 0. Let u = -12 - c. Calculate the lowest common multiple of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -442210?\nAnswer: 442201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268984?\nAnswer: 2, 33623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73888053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8852\/4883 - -6\/257. Calculate the common denominator of 99\/752 and x.\nAnswer: 14288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 585000 = 27*j. Round j to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 704 (c) 3 (d) 0 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0242 + 0.1242. Which is the second smallest value? (a) t (b) 3 (c) 1 (d) 0.94 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -12. Let q(k) = 10001*k - 10. Let x be q(a). What is x rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdhdh. Give prob of picking 2 h and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11244530.1 * 9.\nAnswer: -101200770.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75917 (base 12) to base 16.\nAnswer: 25de3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060553273 to 5 decimal places.\nAnswer: 0.06055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3739340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -17. Suppose 4*t + c*y - 4 = 0, -2*y + 5*y = 4*t + 6. Suppose 4*z - 36 = -0*z. Solve -4*b = 4, 2*o - 5*o + 3*b - z = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 8. Let i be l(-5). Let j(o) = 11*o - 3. Let a(m) = -3 - 134*m + 132*m + 4. Let b(k) = 5*a(k) + j(k). Calculate b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 2*k + r, -3*r = k. Let l be (k\/10)\/1*2. Let h = 20 + -21. Is l greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 12. Suppose 1004 = -220*x + 224*x + 2*n, 3*x + 2*n - 752 = 0. What is the smallest common multiple of x and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2\/5 (c) -1\/690\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -4. Let q = 22 - v. Suppose -q*d = -9 - 9. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 3\/19?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 27*t = -22*t - 6, 10 = -3*u + t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0492424t?\nAnswer: 49242.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/90 - 89*a**5\/60 + 703*a**4\/12 - 5719*a**3\/18 + 1849*a**2\/3 + 317*a - 5. Determine g so that n(g) = 0.\nAnswer: 1, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25ea4 (base 15) in base 11?\nAnswer: 83260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*m. Suppose -3*q - 6 = r - 0*r, -4*q - 16 = m*r. Let b be q*2\/6 + (-13)\/(-3). What is the third biggest value in -0.5, b, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)\/sqrt(5) + sqrt(30))*-6)\/((-2*sqrt(30))\/sqrt(5)))**2 + 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 4 = f. Let d = -22 - f. Calculate the lowest common multiple of d and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - 7. Let c(b) = 7*b - 13. Let s be 0*(-4)\/(-16)*-1. Suppose 4*m - 5 - 7 = s. Let h(u) = m*c(u) - 5*p(u). Calculate h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 10*g**2 + 2*g + 25. Let c be ((-9)\/162*-6)\/((-2)\/(-60)). Is f(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {a: 12, h: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 226038 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i**11*(i**(-1\/4))**31)**17 assuming i is positive.\nAnswer: i**(731\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 994a64 (base 12) in base 4?\nAnswer: 21102113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347507521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 14*l**2 - 18*l - 7. Calculate n(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(2\/16). Let v = 23\/30 - 4\/15. What is the biggest value in -0.3, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -2883\/10. What is the common denominator of 53\/2 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 151?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58915, -118060, -177197, -236326?\n\"Answer: 4*g**2 - 59157*g + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 28*t\/3 + 48.\nAnswer: 2*(t - 36)*(t - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11 or 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 58\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19675031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/154 + 4\/(-14) and -71\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68, 35, -110, -367, -736, -1217?\n\"Answer: -56*g**2 + 135*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450183?\nAnswer: 19, 43, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 308 = -176 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 18479676.\nAnswer: 5\/18479676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 17200.\nAnswer: 17199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-3*r - 2 + 2)*(5 - 1 - 2)*(177*r**3 - 63*r**3 + 311*r**3).\nAnswer: 2550*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 1, t: 1, h: 2, x: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13184 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -73. Let z = 24 - t. Solve 8*a = 4*a + z, 2*v + a - 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlxh when four letters picked without replacement from wqqlxqhhlawwqw?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5*2\/40). Let o = -4.3 - -0.3. Sort c, o, -0.2.\nAnswer: o, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 17, -3.1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 h when three letters picked without replacement from {u: 5, b: 1, h: 2, i: 3, l: 2, t: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.063796 - 26.684796. Let n = -26 - s. What is n rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 360*v**2 - 76*v + 13. List the prime factors of j(-7).\nAnswer: 5, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*w + 780 - 3*w**2 - 8*w**3 - 780 wrt w.\nAnswer: -48*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2\/(((-8)\/(-3))\/4). Factor 6 + 2*g**2 - 4*g**2 + c*g + 0*g**2.\nAnswer: -2*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**4 - 107530*u**3 + 1581*u**2 + 14*u - 7 wrt u?\nAnswer: -96*u - 645180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 + -307. Let b = 1772 + c. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/6 + 26674*v**3 + 3202880354*v**2\/3 + 29877867488*v + 627325446272\/3.\nAnswer: (v + 14)**2*(v + 80008)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 13. Let g be w(-3). Let c be ((-28)\/70 - (-26)\/g) + 4. Solve h - 5*t = 8, 2*t - c = -5*h - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000500233 rounded to six dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17834 rounded to four dps?\nAnswer: -0.1783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x = 0. Let k = x + -10. Let h be (-17)\/102 + 0 + (-51)\/18. Is k greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000158296 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 822479, 822485, 822495, 822509, 822527, 822549, 822575?\n\"Answer: 2*j**2 + 822477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1963847 - 4773947. Let y = j + 4710116. Suppose f - y = -4*k, -3*f + 5*k + 7781100 - 2081120 = 0. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-144)\/(-6)*(-4)\/(-6). Suppose 0 = -5*l + 3*d + 19, 2*l - 4*l + 4*d = -t. Solve -l*i - 7 = 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 1989.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8*s - 2*k + 304, -3*s + 5*k - 319 = 0. Put -2, s, -4 in descending order.\nAnswer: -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 83, 215, 415, 689, 1043, 1483, 2015?\n\"Answer: w**3 + 25*w**2 - 12*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3803\/13 + 294. Find the common denominator of 1\/7 and y.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144820 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 + 17705*f**2\/7 + 2813600*f\/7 + 112288000\/7.\nAnswer: (f + 80)**2*(f + 17545)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + 5824\/(-325))*(1 + 4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 9. Let u be (-1)\/(1 + 0\/3). Let p be (u\/(-4))\/(6\/(-4)). What is the closest to -1 in s, p, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 125640?\nAnswer: 125640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + 2*sqrt(720) + 0) + 3)*-1)**2.\nAnswer: -864*sqrt(5) + 103689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (33 + -77 - -20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7154614 + -4446269. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5254*q**2 - 2*q - 9. Let f be z(-2). Suppose 2*v - v = d - 5254, f = 4*d - 3*v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-94)\/(4 + -3 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*b + 47 = -81, -2*p = -b + 65. Let j = 130 + p. List the prime factors of j.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161800 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:55 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17301 and 237.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 727*b**2 - 35*b + 53. Let a(z) = 121*z**2 - 6*z + 9. Determine -23*a(w) + 4*d(w).\nAnswer: 125*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llilvnvivt. What is prob of picking 1 v and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = 2*p + 668. Let y = -1333\/2 - p. Find the common denominator of -43\/26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*t + t. Let k(p) = -p**2 - p + 1. Let b be k(t). Let o(m) = -2*m**2 + 0*m**2 - m - 7*m**3 + 0*m. Give o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2)*3)**2 + -3) - (1 + sqrt(242) + sqrt(242) + (-2*sqrt(162) - sqrt(2)))**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fa5 (base 16) to base 11.\nAnswer: -60a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let o be (1 - -1)\/(y + 2). Let v = -7 + 3. Put 3, o, v in increasing order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19661*c**3 - 4*c**2 - 1484*c + 17 wrt c?\nAnswer: -117966*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-19)*g*g)**(10\/7) assuming g is positive.\nAnswer: g**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/32*((-784)\/(-120) - 6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1464659*-98.\nAnswer: -143536582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1)\/2*44. Let n be 99\/d*(-16)\/(-3). Suppose 5*c + 30 = -q + 3*q, -n = 3*c. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 559 and 1654855?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1735, 9, -1 in ascending order.\nAnswer: -1735, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - 0.98. Let d = s + -85.88. Let t = 86.999931 + d. What is t rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-188)\/(-90))\/(4\/5) and -83\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1484*i**3 - 171*i - 44 + 5 + 37 wrt i?\nAnswer: 8904*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 489 = -3*g, 5*g - 966 = 5*a - 201. Suppose -12 = 4*q, 0 = -4*r + 5*r + 3*q - g. Solve 0 = 171*c - r*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/7 + 66*i**3\/7 - 60*i**2\/7 - 9*i + 60\/7 = 0?\nAnswer: -5, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6336440.\nAnswer: 2, 5, 11, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u + 6. Let h be v(6). Suppose -2*r - 3*i = -16, -10*r + 5*r - 4*i + 33 = h. Solve -r*k = -k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/700 and -5\/9198.\nAnswer: 459900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**3\/33 - 492*n**2\/11 - 121032*n\/11 + 1085. Find r such that z(r) = 0.\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -7*o**5\/15 - 119*o**2. Let y(d) = -d**2. Calculate q(y(m)).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.9 + -37. Let h = -11 + 15. Suppose -w = h*y - 18, 4*y - w - 6 = 8. What is the nearest to q in 1\/8, 2, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uamiugiaiamabaa. What is prob of sequence ima?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Solve -r - z*r - 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/28 + 6\/21. Suppose -4*q = -4, -3 = -o*u + u - 3*q. Solve u*c + 2*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 8*k + 3. Let t be g(-5). Calculate the highest common factor of t and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/18 and -1\/1521.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 41*o + 375. Give s(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 3*c**2 - 6*c**2)*(5*c**2 - 2*c**2 - c**2 + 3*c).\nAnswer: -8*c**4 - 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5*m**2 - 55*m**3 - 13*m**3 + 1.\nAnswer: -68*m**3 - 5*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 + 3 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.16 + -12.86. Let n = 7 + -6. Put r, -7, n in ascending order.\nAnswer: -7, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + 3214450?\nAnswer: 3214545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(2\/3)))**(-2\/41)*((a*((a**(-5)\/a)\/a)\/a)\/a)\/(a\/a**(-9\/5)) assuming a is positive.\nAnswer: a**(-6632\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, -4, -24, -388\/5 in ascending order.\nAnswer: -388\/5, -24, -4, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1698*i - 190*i + 712*i - 2 - 455*i.\nAnswer: 1765*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676707277.\nAnswer: 7, 239529611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*v + 1016 = 481*v - 302*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 435, 199, -49, -309?\n\"Answer: -6*l**2 - 218*l + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33148*i*z**3 + 62*i*z**2 - 9554*i*z - 19*z**3 wrt z?\nAnswer: 198888*i - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 57c85 (base 15) to base 12\nAnswer: 11595b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17, 13, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Let q be (-5 + h)\/(1 + 0). Let m = -4.09 + 0.09. Which is the nearest to -0.2? (a) -0.5 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 54, 120, 212, 330?\n\"Answer: 13*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1237, 2502, 3761, 5014, 6261, 7502, 8737?\nAnswer: 9966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*f + 5*q - 110, -20 = 218*f - 214*f - 2*q for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 445 and 3340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*j + 4*k, -5*k + 32 = 4*j - 109. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -13. Let y(p) = p**2 - 10*p - 11. Let o be y(11). Suppose q = 5*s + t - 3*t, o = 2*s + t - 17. Solve -x = -4 + s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 53 - 14*b**2 + 4*b - 955 - 204.\nAnswer: -14*b**2 - 1212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*o*u**2 + o*u - 17*u wrt u?\nAnswer: 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1246982880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5929*3071.\nAnswer: -18207959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-44\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163013\/2 - (-35)\/(-42)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14124\/23 - 614. Let z = -7 - -4. Which is the third smallest value? (a) n (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*p = -524, 5*q + 526 = 6*q + 2*p. Are 528 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778301\/2 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*n**3 + d**2*n*r - 1420*d**2*r - 2*d**2 - 2*d*n**3*r + 522*d*n*r + 7*n**3*r - 2*n + 7*r wrt d?\nAnswer: 2*n**3 + 2*n*r - 2840*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000355988 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gypybcgbgyggggbbbp. Give prob of picking 1 c and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28891513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134670594*r**4 + 220*r**2 + 240617*r?\nAnswer: 3232094256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*((sqrt(364) - (sqrt(364)*1 - sqrt(364))) + sqrt(364)) + sqrt(364))*5)\/((2*sqrt(224)\/sqrt(4))\/sqrt(8)))**2.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/4 + 44827573*m + 2009511301070329 = 0.\nAnswer: -89655146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-5)\/100)\/((-12)\/30)). Solve i*n - 5*n = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254789200 rounded to the nearest 1000000?\nAnswer: 4255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 5 + 3*p - 4 to the form z + x*p and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 7*s**6\/120 - 23*s**4\/24 + 27*s**2. Find the second derivative of l(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45013728?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987 divided by 1070?\nAnswer: 2987\/1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(2432) + 1*sqrt(2432) - sqrt(2432) - sqrt(2432)))\/(sqrt(2) + 2*(sqrt(2) - sqrt(8)\/sqrt(4)) + sqrt(2) + 5*sqrt(2)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 6, 3*f = -t - 3 - 11. Let h = t + 14. What is the first derivative of -2*u + 3*u - h + 3*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/528?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = 69*b + 1224. Let f(y) = 2*y - 2. Let u be f(-4). Let w be u*(1 + 40\/b). Let a(j) = j**3 - 7*j**2 + 7*j - 6. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1354717 and -0.2.\nAnswer: 1354716.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1 + 3*z + z - 1 + 29. Let a be u(-6). Suppose -a*p = -378 - 727. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/15 + 8\/6 - 5. Let j(g) = 6*g. Let x(o) = o. Let c(f) = 6*f. Let a(d) = -c(d) + 8*x(d). Determine y*j(p) + 4*a(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 15, 2*g - 49 = -5*m. Solve -2*z = -2*i + g, 3*i - 3*z = 2*i + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.4*-0.1913.\nAnswer: -2.18082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2\/(-2)) + -2. Suppose 46 = 26*h - 24*h. Calculate the remainder when h*1\/(-1 - b) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**(1\/11))))\/(j**(2\/7)\/j*j)*(j*j**(-1\/6))\/j*j**(-5\/3)\/j)**(-1) assuming j is positive.\nAnswer: j**(1021\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -17, 6, 47, 112, 207, 338?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 984197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -192.1 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 9. Suppose -m*u = 2*d - 9, -3*u - 3*d = -2*d - 9. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 14*o - 9*o - 92, -o + 46 = 10*k for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 693, -3.\nAnswer: -3, 1, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18\/(((-280)\/(-25))\/(-14) - (-2358)\/2935)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13*f + 9*f + 14 = 0, -3*u - 4*f + 19 = 0. Calculate the lowest common multiple of 365 and u.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.863 - 11.863. Which is the closest to -1\/2? (a) h (b) -1\/2 (c) 1\/51 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 40 = 4*m. Suppose -4*y = o + 149, -m*o = -3*o - 4*y + 769. Let k be (-4)\/(-34) + (-1818)\/o. Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -33. Let o be (-4)\/(-14) + (-248)\/(-14). Let j = l + o. Solve -2*t + 15 = -j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 12*f - 0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, -0.3, -3, -7, -280, 0 in increasing order.\nAnswer: -280, -7, -3, -0.3, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 30*o - 19. Let j be x(14). Solve 4*z + r + r - 14 = 0, -3*r + j = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*q = 624*q - 24. Let a be ((-33)\/264)\/(2\/q). Determine j so that 3\/4*j**2 + 0 + 0*j - a*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(56)\/sqrt(8)*3 - sqrt(7)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5)*d**(2\/5))**(-23) assuming d is positive.\nAnswer: d**(414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2871 and 2088.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from abatfababf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25728 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13459 divided by 8670\nAnswer: -13459\/8670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26304 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-27 + 35 - 7) - (-9 + -3 + 0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/130)*(-2979)\/(-19860)*(-10 - -2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(35)\/(sqrt(7)*-2) + -3 + (-1*sqrt(25)\/sqrt(80))**2 + 4.\nAnswer: -sqrt(5)\/2 + 85\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20812012 or 270556146\/13?\nAnswer: 20812012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1360775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4496 + -4492. Let t(u) be the third derivative of -19*u**2 - 5\/24*u**c + 0 + 0*u - 1\/60*u**5 + 2\/3*u**3. Determine t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -18888\/36887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 3074?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 - 6)) + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -21*o**2. Let p(x) = 13749*x**2. What is t(p(k))?\nAnswer: -3969735021*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let z = 1486\/3 - 496. What is the smallest value in -1\/2, k, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g + 100. Let q be x(13). Put 5, q, 8 in decreasing order.\nAnswer: 8, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 801216 = 34*f - 12838462. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025 divided by 205.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4300 in 4, -926, 40, 0.3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 + 11*i + 64. Let y be d(-6). Let u = -101 - -100.6. Sort y, 0.5, u.\nAnswer: y, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 + -214. Let u = 161 + k. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8040 and 936?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uguguuuluull. What is prob of sequence uul?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -11*m**5\/20 + m. Let j be h(-1). Let c = 76 + -54. What is the highest common divisor of j and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -255.1, 1, -52\/49, 3 in increasing order.\nAnswer: -255.1, -52\/49, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -967\/4844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 310050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88\/5 of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.9 less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35438\/61 + -581. Which is the smallest value? (a) 1\/4 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (11 - (-3 - (3 - 6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2856 and -133\/72.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 625\/3 + 1\/3*b**2 - 50\/3*b.\nAnswer: (b - 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4922 + 93548\/19. Suppose 2 = -2*k + 2*g, -28*g - 13 = -5*k - 29*g. Do k and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815687.3ml in litres?\nAnswer: 815.6873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q - 105 = -71*q. Suppose -3*t + 68 = -97. Calculate the least common multiple of t and q.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, i: 3}. What is prob of picking 1 h and 2 i?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -7*x**5\/5 - x**3 - 3*x**2\/2 + 2. Let j(f) = 8*f**4 + 4*f**2 + 4*f. Let v(l) = -4*b(l) - 3*j(l). Let v(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -235, -534, -953, -1492, -2151?\n\"Answer: -60*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*u + 3, 2*a + 24 = 4*a + 4*u. Solve -12 = 3*z - a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3) + 126\/7. Let w = -15 + c. Suppose 3*y + w - 39 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*m = -5*z + 40, -5*m + 40 = 3*z. Suppose 3*w = -4*f + z, -17 - 3 = 4*w. Sort f, -1, -9 in ascending order.\nAnswer: -9, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 142*j - 143.\nAnswer: (j - 1)*(j + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*t = 2, -9*t + 7*t + 2 = 4*j. Solve -j*s + 3*s - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25258 - -25263. Which is the closest to 2? (a) -0.93 (b) -0.01 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741918?\nAnswer: 2, 3, 123653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 15*n - 32*n + 5226 = 0. What is the remainder when 1947 is divided by n?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oohhh. What is prob of sequence oho?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25820744 to the nearest integer?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122820616 by 61410308.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (2*sqrt(200) - sqrt(200)))\/sqrt(8))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Let d(n) = 2*n**2 + 13*n**2 - 11*n**2. Give u(d(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17028*b**2*s - 143*b**2 + 65*b wrt s.\nAnswer: 17028*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.5 (c) -5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3259 - u**2 - 80*u + 3259 to m*u**2 + z*u + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*n - 489, n + 963 = 4*r + 2*n. Let z(v) = 4*v - 36. Let p be z(24). What is the greatest common factor of p and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(288)) + 5 + 4*sqrt(288))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4779676 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/66 - 48\/(-22). Solve 0 = 5*q + 2*v - 33, -4*q = y*v - 0*v - 28 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 36*b + 1508. Let t be u(-42). Let l(y) = 104*y**2 + 417*y. What is l(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)**(-19)*r**(1\/6)\/(r\/(r*r**(-8\/7))))**(-2\/25) assuming r is positive.\nAnswer: r**(221\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - 0. What is the units digit of -212*(f\/(-20) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**3 + 2*x + 1. What is d(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11405*b**4*p - 6*b**3 + 2*b**2 - 15296*b - 35*p wrt b?\nAnswer: -136860*b**2*p - 36*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1140 and 117900.\nAnswer: 2240100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*c - 671*c = -z - 59, 0 = 2*c - 5*z - 43. Suppose 0 + 2 = k + 5*j, 0 = 3*k - 3*j - 6. Solve 16 = -k*b + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -3, 140, 393, 786?\n\"Answer: 5*o**3 + 10*o**2 - 2*o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26653803 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 26, 6, 5 in decreasing order.\nAnswer: 26, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424449 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:18 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 774000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w + 3*k - 135 = 0, k = 0. Suppose -4*y + 22 = n, -y + 6*y + n - w = 0. Suppose u - 151 = -y*j, 2*j - 3*u + 93 = 5*j. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718607 is divided by 6847?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 9, 36, 83, 156, 261, 404, 591?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12821173309 plus 0.4?\nAnswer: -12821173308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 921 - 462 - 9*y**3 - 459 + 3*y**3 - 2*y**3.\nAnswer: -8*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 2, p: 2, j: 5, c: 2, q: 1, t: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3797, 3842, 3855, 3818, 3713?\n\"Answer: -3*u**3 + 2*u**2 + 60*u + 3738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d - 4. Give r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.273 and -7.\nAnswer: -1.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15624720713+1.1\nAnswer: 15624720714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 - 2. Let r(f) = 11*f**2 - 3. Suppose -b + 0*b + 3 = 0. Let x(u) = b*o(u) - 2*r(u). Let q(a) = 2 - 2 - 3*a. Give q(x(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15\/2)*t**9\/t)\/((t*t*(t*(t*t**(-17))\/t)\/t)\/t)**(1\/6) assuming t is positive.\nAnswer: t**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1364 or 1367?\nAnswer: 1364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -183. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1224114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 23. Let q = 29 + i. Let l = q - -1. Solve -3*c + l = 3*z - 14, -19 = -3*z - 2*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxpp. What is prob of sequence xp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 309. 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: Convert 111110110011011101 (base 2) to base 5.\nAnswer: 31212440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489189 is divided by 1853.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183004940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 755537?\nAnswer: 755537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 0*v**2 + 0*v**2 + (3 - 3 + v**2)*(3*v**2 - v**2 - 3*v**2) + 6 - 6 + 7*v**4 to the form c*v**2 + i*v + f*v**3 + b + j*v**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 21*x - 7 = 17*x, n = 2*x - 5. What is the third biggest value in n, 0.5, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22013.9 + 22014. Sort g, -1, 1, -174 in decreasing order.\nAnswer: 1, g, -1, -174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 - 0.66. Which is the nearest to 3? (a) t (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.1. Let q = -2.8 + 2.5. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22015)\/1887*(-6)\/10*(-246)\/(-21).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128856973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 3*f**2 - 2*f - 6. Let v be s(-3). Suppose 5*p - 5*d + 15 = 0, d + v*d = 3*p + 7. Is 3 a factor of ((-84)\/(-63))\/(p\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1113696032 rounded to six dps?\nAnswer: 0.11137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 10368?\nAnswer: 14515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.6. What is the nearest to l in -12, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22111521 + -513?\nAnswer: 22111004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-71)\/(-60)*3231\/(-2). Let o = -9499\/5 - z. Let d = -1\/530 + -3309\/1855. Find the common denominator of o and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.761 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 11\/2*k**3 + 0*k**4 + 0 - 37*k**2 + 2\/15*k**5 + 0*k. What is the derivative of p(z) wrt z?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374270 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 4218.\nAnswer: 12654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j + 878 + 4325 = j - 957 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 1 - (8 + (14 + -46 - -19))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(8\/2))\/(1\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 625 - 628. Sort x, -10, -1 in decreasing order.\nAnswer: -1, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -145099?\nAnswer: -145109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 42003741\nAnswer: -42003741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 33856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, t: 2, k: 7, n: 1}. What is prob of sequence kr?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5459 = -r, 3*h - 2791 - 480 = 5*r. What are the prime factors of h?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 + 68\/7*a - 16\/7 - 38\/7*a**2 = 0.\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 + 4*b - 4. Let a be s(3). Let w(g) = 5*g**2 + 2*g + 1. What is w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456 - 517 + 1102)*(2*i - 5*i + 4*i)*(0 - 1 - 4).\nAnswer: -645*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 30*m + 93. What is l(-7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/7889 and 31\/36015.\nAnswer: 828345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4 - 4) + (2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 160322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130983, -130990, -131001, -131016, -131035, -131058?\nAnswer: -131085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4442019*r**4 - 4108533 wrt r?\nAnswer: 17768076*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 507 = 2*x + 58, -t = 2*x - 451. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kag when three letters picked without replacement from {g: 1, k: 4, j: 3, r: 4, a: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18194*u + 18255*u = -1281 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteeeeet. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4698624 and -127\/7728?\nAnswer: 4698624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:39 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 3*g**2 - 2*g - 3. Let o be n(-3). Let c be 0*(10\/(-4))\/(-5). Suppose c*b = o*b - 39. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26338 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (-28)\/(784\/84)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let t(k) = -401*k. Give t(u(j)).\nAnswer: -401*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183969 is divided by 10218?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253 by 45.\nAnswer: 253\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299923021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 327*v + 1302. Let w be y(-4). Let q(g) = g**3 + 8*g**2 + 6*g + 13. Give q(w).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -601 - -1270. List the prime factors of p.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.7. Let r = -3703\/947215 + -3\/2435. Let h = r + -1159\/1556. Which is the closest to 0.1? (a) h (b) k (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1573*q**2 + 3047*q + 3044. Determine a(-1).\nAnswer: 1570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (15 + (-43 - (5 + -19)) - (2 - 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 0 + 0)*(-1 + 47*j**2 + 68*j**2 - 61*j**2).\nAnswer: -108*j**3 - 54*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7007 + 126089\/18. Find the common denominator of a and (-2)\/4 - 258\/(-40).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1724)\/44) + 6\/(-33). What is the greatest common factor of 760 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-16) + 9\/(-6). Suppose -18 = -0*m - 5*m - f, 0 = -3*m - s*f + 6. Solve -r + 0*r = -m*z - 12, -12 = -2*r + 4*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2106 * 0.0216\nAnswer: -45.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160508524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 31. Let j be b(0). Suppose 825*r - 360 = 2115. Solve r*y + j = 4*v + 9, -y + 4*v = 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 65. Suppose -5*a + 7529 = -3*f + 423, -3*a - i*f = -4275. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/1667 - -1709\/3334. Let i(a) be the second derivative of 0 + 0*a**2 + 5*a + t*a**3. Let c(b) = -16*b. Calculate c(i(l)).\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9802 and 911248?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 210*t**2 + 57*t - 4. Let o(a) = 2*a**2 + 9*a - 1. Give 4*o(m) - s(m).\nAnswer: -202*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508741.47 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 104 = -4*m, 2*x - 1374 = -0*x - x - 51*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 + 37*f + 7. Let c be a(9). Factor 2*l**2 + 192*l - 2246 - 5*l**2 - c.\nAnswer: -3*(l - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.072 - -8.1. Let n = 0.072 + h. Let i be (-3)\/6 - 18\/(-4). Which is the closest to n? (a) -0.1 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -199790*v**3 + 11*v**2 + 8*v + 65. Let q be n(-4). What is q rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2389 and -240210891.\nAnswer: -240213280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 2*a**2 + 5*a\/2 - 1.\nAnswer: (a - 2)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -254, 0, 0.4, 2\/9, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -468 in decreasing order.\nAnswer: 4, -4, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/34500 and -87\/112252.\nAnswer: 968173500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 224411 (base 6) in base 15?\nAnswer: 5a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/35 and -53\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132084, 132092, 132104, 132120, 132140, 132164, 132192?\nAnswer: 132224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 3643766?\nAnswer: -3643761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319\/13276*2*(-10)\/215?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 38*l - 16*l - 24*l)*(-2 + 5 - 2) to the form w*l + p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.252281um in centimeters?\nAnswer: 0.0007252281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1260 divide 518381640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5672 is divided by 5654?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/22 - (-2)\/(-4)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(-5))))**41*d**(-14)*d**(-1\/18) assuming d is positive.\nAnswer: d**(4175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 1. Let m(k) = 13*k + 6. Suppose -4*d - 36 = -10*d. Give d*y(p) + m(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/30*620\/93\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.251 * 6496.\nAnswer: 1630.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7)*1 + 1 + -2 + -4*(sqrt(7) + -2 + sqrt(7) + -4))**2.\nAnswer: -322*sqrt(7) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2139 + 2143. Which is the fourth biggest value? (a) 6 (b) u (c) 2\/31 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, -42, 0.08, -3 in descending order.\nAnswer: 1, 0.5, 0.08, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*1*42\/42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Factor 2*m**4 + 9*m**3 + 15*m**2 - 3*m**5 + 6*m - 3*m**4 - 2*m**b.\nAnswer: -3*m*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (115\/(-10))\/(1\/(-2)). Suppose m + 1 = -2. Let s(p) = p**2 + 2*p + 2. Let a be s(m). Solve a*h - w = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 25*a**2 - 88*a - 75. Let q be o(-21). Let h = 18 - 14. Solve 2*j + q = h*b - 3, -b + 3 = 2*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 9*l = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.43 + 1.17. Let w = -3.1 + u. What is the smallest value in 0.1, -7, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*a - 19495 + 1301 = -436 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 2*p**2 - 33*p + 18*p + 3*p**2.\nAnswer: 5*p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*j - 52, -3*x + 5*j - 2 = 0. Solve q - 4*u = x, -3*q - 2*u = 4 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.03708*14\nAnswer: 126.51912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + x. Let l(r) = 2*r**3 - 204*r**2 + 2598*r - 2400. Let z(h) = l(h) + 2*u(h). Factor z(g).\nAnswer: 4*(g - 30)*(g - 20)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 204*v**3 + 85*v**2 - 7*v + 6. Let k(w) = w**3 + w**2 + w - 1. Let b(x) = -6*k(x) - o(x). What is the third derivative of b(t) wrt t?\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = -3*z. 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: Let z be 1 - 0 - (-99)\/(-9). Let j = -24 - z. Which is smaller: -13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -21. Let v = 1 + 4. Let c = a + v. Which is greater: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -1. Let q be ((-18)\/(-16))\/(18\/24). Let k = -23 - -34. Sort k, h, q in decreasing order.\nAnswer: k, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 c when four letters picked without replacement from {c: 3, b: 1, p: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(5))\/sqrt(9) + sqrt(12) + -5 + (-3*(sqrt(33) - sqrt(33)*3))\/sqrt(11).\nAnswer: -5 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590457?\nAnswer: 3, 7, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11056 - -0.18944. Let d = 47 + -24. Which is the nearest to -0.1? (a) d (b) 4\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 256527348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216415*z**3 + 362*z**2 + 28*z wrt z?\nAnswer: -1298490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 99. Determine t(40).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887*z**2 + 1270*z**2 + 108*z**2 + 399*z**2 + 662*z**2.\nAnswer: 3326*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 288 times -4\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310324 - 1?\nAnswer: -310330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10008, -10483, -10958, -11433, -11908?\n\"Answer: -475*k - 9533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/(-72)*688\/2365.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-11 - -18 - (4 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*s + 134*s + 40 = -4*p - 133*s + 397*s, -p + 2750 = -183*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 14 + 18 + 17. Suppose -25 = 5*q, 0 = t - 0*t - 2*q - 20. Solve -2*o = 5*r - 16, -4*o + 4*r + t = u*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 198 = 150. Let x(z) be the second derivative of 0*z**2 + 2\/15*z**o + 0 - 5*z + 1\/10*z**5 + 0*z**3 + 0*z**4 + 1\/21*z**7. Factor x(u).\nAnswer: 2*u**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(2\/6). Let y = -17.72 + -5.68. Let f = y + 23.4. Put q, f, 1\/4, 1 in decreasing order.\nAnswer: q, 1, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438048.44 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/3 + t**2 - 42*t. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 39373195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4822*q - 9636*q + 4814*q + 5*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/12)\/(831\/2216).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*-0.022.\nAnswer: 1.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p, l - 5*p - 7 = -10*p. Solve l*h + 5*t + 3 = 0, 4 - 8 = -2*h + 2*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33173.94 micrometers in centimeters?\nAnswer: 3.317394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/24 + p**3\/3 + 7*p**2. Let m be d(-1). Suppose j - 4*t + 16 = 0, 6 + 31 = m*j + 5*t. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r + 9. Let w(z) = -8*z + 6. What is 5*d(j) - 8*w(j)?\nAnswer: 4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1286 + -1286.2102. Let j = 0.0128 - v. Which is the third biggest value? (a) 0 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + 0 + (-16 - (-30 + 18))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 2. Let w be a(6). Let o be (-8)\/6 - w\/(-12). Is 52 + (-1 - o) + 0 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4408)\/456)\/(2\/6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2529*x - 744*x**2 + 2529*x + (4*x - 5*x + 0*x)*(-x + x - x).\nAnswer: -743*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16706 is divided by 5504.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (0 + sqrt(176))**2)*3.\nAnswer: 3*sqrt(11) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 26*c**2 + 2*c + 2. Suppose 0 = 3*a + 3. Let h be n(a). Suppose h*o + 140 = 31*o. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 663443071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 94*g + 831. Give v(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92589.54l?\nAnswer: 92589540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -13, -26, -53, -100?\n\"Answer: -w**3 + 2*w**2 - 4*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -4*k. Suppose 206 = k*o + 11. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1556, 3137, 4716, 6293, 7868, 9441, 11012?\n\"Answer: -b**2 + 1584*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16240741 to the nearest integer?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 1. Let b(y) = 1 - 4*y**2 + 12*y - 5*y + 5 + y**2 + y**2. What is -b(j) + 6*l(j)?\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) -11 (d) -0.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + 2\/(-4). Suppose -3*z + z + 20 = 3*d, -2*z + 4 = -d. Suppose 0 = 3*v - 7 + z. Is y less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + -14. Let u(f) = -f**2 + 20*f - 28. Let a be u(12). Let r = x + a. What is the remainder when 63 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 16. What is the remainder when 4\/d*(-18)\/4 is divided by 1\/2*(-4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*v = -10, -g + 7 = -4*g + 4*v. Let i(o) = o**2 - o - 1. Let z(c) = -3*c - c + c + 4*c**2 - 3*c**2. Let j(n) = g*z(n) - 10*i(n). Factor j(p).\nAnswer: -5*(p - 2)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8\/5 (b) -5\/3 (c) -75049 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10826396 - 16?\nAnswer: -10826412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 5*u**2 - 5*u + 4. Let b = -45 - -48. What is p(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1994334949688+-30\nAnswer: 1994334949658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -4325200.4797287?\nAnswer: 4325200.4697287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -1 (c) -71\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 452*t**2 + 14*t - 47. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5800*u**2 + 39*u - 595 wrt u.\nAnswer: -11600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3 = -125*v + 123*v, -57*v - 322 = 40*p - 36*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4 + w)*(w**2 - 3*w**2 + 3*w**2 + (-2*w + 6*w - 2*w)*(-w + 1 - 1) - 3*w**2 - 4*w + 4*w) to r + k*w**3 + f*w**2 + t*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0088 - 165.0588. Let c = a + 165. Round c to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7296 + 1731 = -15*j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -78*n - 8. Let a be b(4). Let p be (a\/(-12))\/((-1)\/(-3)). Suppose 5*i + 5 = -5, 0 = 4*k + 4*i - p. What is the remainder when 86 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*w + 35*w = 39*w - 1120 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-17))\/(5 + (-4 - 2))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 18, -2, 469, -117, -10 in decreasing order.\nAnswer: 469, 18, -2, -7, -10, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-70))\/((-4)\/(-30))*(236 + -243).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 3, o: 1, j: 6, c: 3}. What is prob of picking 1 j and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, -3\/4, -4\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {u: 2, r: 2, m: 3, k: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*w + 5. Let p = 7 - w. Suppose 2*c = p + 3. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.18 - 1.18. Sort 10, a, -0.3 in increasing order.\nAnswer: -0.3, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -35*d**5 + 3*d**3 + 3*d**3 - 41*d**3 + 5*d**2 + 55*d**4 - 7 - 3. Let k(f) = -f**5 - 1. Let q(w) = -10*k(w) + o(w). Factor q(l).\nAnswer: -5*l**2*(l - 1)**2*(5*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n + 8*n - 15*n)*(3*n**2 + n - n) - 22*n + 22*n + 14*n**3.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15166703 (base 9) to base 3.\nAnswer: -112012020210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152277?\nAnswer: 7, 17, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4421*r - 1224. Is t(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1188089089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:33 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 172*r - 1 + 4 in the form o + p*r and give p.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 0.49. Let v = 0.24 + -0.14. Which is the second smallest value? (a) 1 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-870)\/(-87)*(-1)\/(-15)*2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259266413.\nAnswer: 7, 2153, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 95135643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o + 35 = 84*o. Let d = 9 + -9. Solve o*s + y = 16, d = -y - 4 - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38299026.29 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -4. Suppose -3*d + 0 = -9, p*s - 15 = -d. Find the second derivative of -t - 10*t**4 + 7*t**s + 2*t wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056*z = 508*z - 8768 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-4) + -2)\/1. Suppose -2*s = 3*q - 22, -z*s + 4*s = -4*q + 26. Solve 2*x - r - 8 = 0, -5*x + 4*r + s + 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 0, -46, -132, -270, -472?\n\"Answer: -2*d**3 - 2*d**2 + 2*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 3. Let d be (-10)\/14 - (-32)\/(-112). Let x(k) = -k. What is d*x(u) + m(u)?\nAnswer: -2*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/7 + 1098848*p\/7 + 1098849\/7 = 0.\nAnswer: -1, 1098849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 - -1.3. Which is the third smallest value? (a) o (b) 2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -19. Suppose 0 = -2*w - 2*p - 20, -3*p - y = 4*w + w. What is the units digit of ((-60)\/(-8))\/(w\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 22*o**2 + 44*o + 820. Calculate v(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 4*w + 22 + 104 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061686 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9356 + 5035. Let f = b - -34661\/8. Find the common denominator of -1 + 1*80\/(-18) and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 53 (b) 4\/5 (c) -38 (d) -3\/89 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 29. What is j rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 8:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2773, 5611, 8449, 11287, 14125, 16963?\nAnswer: 19801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.2895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m + 10. Let n = m - -31. Suppose 3*z - r = -z + n, 3*r = 3*z - 18. Solve 3*p = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1763 - -14263. What are the prime factors of l?\nAnswer: 2, 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r + 5. Let i(z) = -2*z**2 + 4*z - 2. Let y be i(6). Let k = -41 - y. Does 18 divide o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 2. Let n(f) = -13. Let g(l) = -n(l) + 5*o(l). Let v = -1 + -2. Calculate g(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 37 = -l + 2*y, -17*l + 10 = -15*l - y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/9 - 2 - 6*(-3)\/54?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10119 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(275)*1)**2 - ((2 + -2*sqrt(275))**2 - sqrt(275))).\nAnswer: -270*sqrt(11) + 9924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13422518 plus 6823364?\nAnswer: 20245882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3. Let n be q(1). Let y(c) = 3*c - 132*c**2 - 3*c + 131*c**n. Let r(s) = 588*s**2 - 582*s**2 - 2 + 2. What is r(y(f))?\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.752 times -39907.4\nAnswer: 69917.7648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 3 in increasing order.\nAnswer: -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 155 = -2*r, -27*r = -3*l - 29*r + 77. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*-2*-6 + (sqrt(153) - 1*sqrt(153))*4)\/(-5*1*sqrt(576) - sqrt(576)).\nAnswer: -13*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*(33\/12 - 2). Suppose -3*h + 5*m + 42 = -2*h, -105 = -4*h - m. What is the greatest common divisor of q and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 10:54 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 2*q**2 + 9*q + 8. What is k(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7548.1 milligrams?\nAnswer: 7548100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**2 + 20*n - 464. Determine b(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66d + -6?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(425) - (sqrt(425) + 2))*-6)*3 + -3*(4*(-1 + sqrt(425)) - sqrt(425))*-1)**2.\nAnswer: 2700*sqrt(17) + 35325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let m(a) = -482*a**2. Calculate m(d(b)).\nAnswer: -482*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2633155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -346, -336, -324, -310, -294?\n\"Answer: p**2 + 7*p - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 21*f**2 + f - 7. What is the least common multiple of r(21) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296\/(-6)*(-6)\/4 is divided by 44\/(-1056)*-252*6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454527 is divided by 324?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390914882.\nAnswer: 2, 953, 205097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100960296 a multiple of 2648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:49 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67\/665 or -1?\nAnswer: 67\/665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -420 equal to -415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 35*s + 585 = -39*s, -364 = -3*r + 5*s. List the prime factors of r.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 1530 - 1533 + 0*c**3 as r + a*c**3 + w*c**2 + n*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3444 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335263, -671132, -1007001, -1342870, -1678739?\nAnswer: -2014608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o + 5. Let m(a) = 4*a + 2. What is -2*l(r) + 5*m(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2 (c) -0.1 (d) -585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -6*f**2 - 3\/2*f**3 + 0 + 0*f + 5\/24*f**4 + 1\/60*f**5. What is h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172, -241, -310, -379, -448, -517?\n\"Answer: -69*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 10) to base 4\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5582766 divided by -15638\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -d - 3*d + 20, 2*d = 4*n - 14. Calculate the common denominator of 39\/67*(2 - (d - 0)) and -50\/3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6677243 centuries?\nAnswer: 801.26916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 58 = 218. Suppose 6*h = 4*h + x. Does 15 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*g - 15523 = 385*g + 4*q + 16961, -4*q + 196 = -5*g - q for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 45 = 9*k + b, 0 = b + 5. Suppose k*r - 124 = 116. What is the lowest common multiple of r and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {w: 1, p: 6, c: 1, q: 6, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**2 - 28 + 64 - 27*i**2 - 36.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuppuplulucuulhukpup. Give prob of picking 1 k and 1 u.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814823*y**3 + 29*y - 814814*y**3 - 29*y.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*q - 0*q. Suppose -4*v + 61 = -q. Calculate the least common multiple of 2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824.48 - 1.8962329?\nAnswer: -1826.3762329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 60 = -151*k - 58 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(2\/9)*x*(x**(-3\/5)\/x)\/x*x*x**(-2\/15)*x\/(x\/(x**(1\/2)*x))*((x\/x**(1\/4))\/x**(-2))\/(x**0*x*x*x)**(-7\/4) assuming x is positive.\nAnswer: x**(899\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**3 + 74*d**2 + 16*d - 3. Let z(u) = 3*u**3 - 25*u**2 - 5*u + 1. Let a(m) = -4*q(m) - 11*z(m). What is the tens digit of a(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2. Let o(h) be the second derivative of 857*h**4\/4 + 9077*h. What is o(s(f))?\nAnswer: 41136*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 254555 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y - y)*(-64 + 25 - 317*y**2 + 316*y**2) to the form t*y**2 + h*y**3 + p*y + s and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8708 and 163688630?\nAnswer: 327377260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 4:29 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49707 + 1.\nAnswer: 49708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*z - 941*z + 170 = -1872*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12427 + 12485. Solve 0 = i*z - 63 - 111 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 11, -5 in descending order.\nAnswer: 11, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083776 to 7 dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1034090 divided by 206818.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/690 - 37*o**4\/92 - 20*o**3\/3 - 3590*o**2. Factor g(d).\nAnswer: 2*(d - 115)*(d + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -q - 28. Let n(p) = 2*p**3 + 5*p**2. Let y(m) be the third derivative of m**6\/120 + m**5\/15 + 3*m**2. Calculate q*n(f) - 5*y(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 2*s + 8. Let z be y(-7). Let l = -75 + z. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*d - 688 - 16221, 2*a - 2*d = 6744. What is the remainder when a is divided by 212?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*f + 2 = 0, -o - 7 = -4*f - 20. Suppose 10 = 4*d - y + o, 0 = 2*d - 2*y. Let p be 6 + -5 + d + -2. Which is smaller: 12\/13 or p?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0, -6.\nAnswer: -6, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/24*(-3)\/(-2))\/(36\/(-864)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27153*f + 27167*f = -112 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1, -1.9, 0.4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 63029.46 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109*z**3 - 87*z**2 + 3*z wrt z.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 2*r + 3319 - 3231. Give v(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 97 = -5*d - 3*f, -2 = -f. Sort d, 0.5, -0.4 in descending order.\nAnswer: 0.5, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6656638 rounded to four decimal places?\nAnswer: -0.6657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 1 - 2*z**2 + z**2 - 5*z. Let w be -30 - (-24 + 16 + -16). Calculate k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*g + 8239 = -414 - 5603 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254492, 254510, 254528, 254546, 254564, 254582?\nAnswer: 254600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212\/7233 + -5367227\/564174. Let z = 500\/39 + g. What is the common denominator of z and 19\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 0 - (5 + 9 + (-19 - -7)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64696583.\nAnswer: 7, 239, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16883771 to the nearest integer?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 307*g**3 - 72*g**2 + 4635. Let w(d) = 306*d**3 - 62*d**2 + 4635. Let p(l) = -5*u(l) + 6*w(l). Differentiate p(r) wrt r.\nAnswer: 903*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-6 + -102212)*(-6)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxr when three letters picked without replacement from {r: 16, x: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -2*sqrt(432)*2)**2 - sqrt(432)) + sqrt(432).\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130 (base 7) in base 3?\nAnswer: -120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a**2 + 1)*(32034*a - 61703*a + 6 - 82532*a + 6843*a - 6).\nAnswer: 105358*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -66 (b) -4\/5 (c) 3 (d) -8 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**2\/2 + 1. Let r(s) = 3*s**2. Let o(g) = -2*g**2. Let f(v) = -5*o(v) - 4*r(v). Calculate p(f(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000025087 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106916?\nAnswer: 2, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-7 - -14))\/1. Let n(a) = 1. Let o(p) = -2*p - 5. Let r(l) = 6*n(l) + o(l). Determine r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2 - 5 - 29*l + 27*l**2 + 9*l - 2*l**2 - 44*l**2. Determine o(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 j, and 1 f when four letters picked without replacement from ozqqizqqfiiqjzoizqoj?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 767 = 1648. Is -1 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 285*u + 284*u + 5 = 0, -5*u = 2*x + 44 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 30*y - 48.\nAnswer: -3*(y - 8)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 14) in base 2?\nAnswer: -110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/7)*b*b**2*b)\/(b**(-19)*b)**16 assuming b is positive.\nAnswer: b**(2053\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose -4*n - j - 15 = 0. Let p(i) = -i**3 + 10*i**2 + 11*i + 5. Let a be p(11). Put -3, n, a in increasing order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131275*f**4 - 660*f**3 - 2*f**2 + 69968640*f - 2?\nAnswer: 3150600*f - 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from ccccqgppceqeecggpc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 4\/5, 59.4473?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -84*o + 87. Let m be s(1). Solve -12 = 4*h, 5*h = m*f + 7*h + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 46*t**2 + 806*t + 242. Determine q(-17).\nAnswer: 4747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139579 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.1029125 months?\nAnswer: 0.00091909375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 5*h)*(3*h + 2*h - 4*h)*(-4*h**2 + 2*h**2 + 5*h**2) + (-2*h**3 - 2*h**3 + 2*h**3)*(-7*h + 3*h + 3*h).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:28 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 0.1629410440306.\nAnswer: 0.3370589559694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 371, 506, 605, 662, 671, 626, 521?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + 10. Suppose -4*n + l = -124, 0*n + 2*n + l = q. Suppose 0 = -3*o - 5*g + n, -5*g = -3*o - 0*g - 8. What is the third smallest value in o, -2\/23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (3 + -3))*-1. What is the derivative of 6 + 4*h - w - 1 - h wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 3.02. Let d = -32 - -60. Let j = -26 + d. Sort c, -3, j.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32475\/(-1350) + (((-428)\/72 - 2) + 5 - -3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 3150?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-646)\/969 + 13\/21)*-6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - 3*r + 14*r)*(-r**2 + 3*r**2 + r**2).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 10\/((-50)\/45). Solve -2 = 5*j - g*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 182768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, 1 in decreasing order.\nAnswer: 1, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2414 * -0.04.\nAnswer: -96.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673266 is divided by 333933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 8*c**2 + 7*c + 10. What is the hundreds digit of n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (-3*sqrt(147))**2 + sqrt(3) - (1 + 3 + sqrt(3)).\nAnswer: sqrt(3) + 1319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x + 9. Let n(s) = -2*s**2 + 8*s + 10. Let l(j) = 3*b(j) - 2*n(j). Suppose -6 = 2*d + 4. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -13, 4.\nAnswer: -32, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2560, 5130, 7700, 10270, 12840?\n\"Answer: 2570*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3005 + 3045 = a, 0 = 7*a + 5*m - 70 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 5*g + 9. Determine f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 55*b + 151 + 1295 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (3 - 0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - z - 17, -5*z + 0 - 19 = 2*w. What is the greatest common divisor of 84 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) 0.15 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f - 31345 - 1210 = -839*f - 5678 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 887\/10858 + -8\/89. Let g be 6102\/244 - 3*(-5)\/(-45). Let t = g + m. Calculate the common denominator of -55\/18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + c)*(46*c + 36*c - 49*c) to r*c**2 + v + z*c and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2945 + 2954. Let m(k) = -k**2 + 8*k - 12. What is m(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.54 - 0.54. Let o = i - 37.8. Suppose 0 = -v - 2*v + 15. Which is the third smallest value? (a) o (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvuxvvvuuixvv. Give prob of picking 1 x and 3 u.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 - -680. Suppose 54 - i = -27*l. Solve 2*u + l*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5)*(12 + -2). Suppose 22 = 2*h + w*s, -s = h - 5 - 2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(12)\/sqrt(4)))\/((sqrt(36) + sqrt(324))\/sqrt(3)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -8) + (10 - (-13 - -28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 315061784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 3*q. Suppose x - 3*x = -36. What is the smallest common multiple of x and q\/((-5)\/(10\/(-4)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -707.4344 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8*l + 12. Suppose 4*x + 1 = -l. Put x, 5, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**7\/35 - k**4\/8 + 5*k**3 - 24*k**2 - 3*k. Differentiate a(j) with respect to j.\nAnswer: -24*j**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -155.\nAnswer: 9\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-949*s + 469*s + 159 + 477*s)*(2 - 6*s + s + 7*s) in the form n*s + y + r*s**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 0 - -11) + (-2 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 107*l - 2659. Give b(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 12:07 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 109*z + 108. Let j be h(34). Calculate the highest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.71 - 10.7. Let d = -0.01 + p. Let n = 6 + d. Sort -5, 1\/2, n in descending order.\nAnswer: n, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165768 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 - 3*x**3 - 3945*x - 14*x - 590*x.\nAnswer: -61*x**3 - 4549*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 - -5. Let t = 3.611 + n. Let p = -0.489 - t. Which is the second biggest value? (a) 1\/4 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 3276.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = -5*u + 545, 19*u - 7*u - 3*l + 99 = 15*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89255 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*q + 6 = -2, -8 = 3*i - 4*q. Let h = 3.849 + 0.071. Let b = 3.52 - h. What is the biggest value in i, b, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033300121 (base 4) to base 11.\nAnswer: 372436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*w + 134 = -239 + 97 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + -7 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14464 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 11) to base 12\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 151*c + 7 + 19*c - 2 - 2*c**3 - 9*c**4 in the form o*c**3 + f + t*c**2 + j*c + n*c**4 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291 is divided by 752.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkffakakkfkafaaak. Give prob of picking 2 k and 1 f.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 15*x = -33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus -4522329857?\nAnswer: -4522329887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -618*i**2 + 37*i - 13. Let c(o) = -o**2. Calculate v(c(r)).\nAnswer: -618*r**4 - 37*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.4 - 1.44. Let p = 10 - z. Let l = p + -0.54. What is the third smallest value in l, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -657 + 741. What is the second derivative of -24*c + 14*c - 61*c**3 - n*c**3 - 12*c - 41*c**3 wrt c?\nAnswer: -1116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:17 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2036066673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793683055.\nAnswer: 5, 11, 14430601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*m*s**2 + l*m + 90*l*s**2 + 5542*m*s**2 - 9*s wrt m?\nAnswer: -l*s**2 + l + 5542*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4718 and 8\/26733?\nAnswer: 18018042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*l, 3*v = 4*v + 2*l + 5. Suppose v*z = 5*w + 455, 6*z - 182 = 4*z + 5*w. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d**(-2\/23)*(d\/(d*(d*d**3)\/d*d))\/(d\/d**(2\/9)*d))**(-11) assuming d is positive.\nAnswer: d**(51139\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -655539 or -655286?\nAnswer: -655539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:10 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220231 + 10?\nAnswer: 220301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100000101010010101100 (base 2) to base 7.\nAnswer: 200136666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0.03 (c) -5 (d) -17 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.04039701 rounded to two decimal places?\nAnswer: -19.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -840930 divided by -3\nAnswer: 280310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*c - 405*c + 7005 = 878*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 3. Let m be t(-8). Suppose -5*i + 4*n - m = 0, i + i = 2*n - 8. Let s(a) = -2*a. Let y be s(i). Solve -4*u + y = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvie when four letters picked without replacement from {e: 5, o: 1, v: 4, i: 4, h: 1}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -715*p + 5. Let z be a(-1). Suppose y - z = -44. Suppose -1780 = -8*u + y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24088.07t to nanograms.\nAnswer: 24088070000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 260 - 298 = 0. Let g = 53 + -30. Let c = p + g. Solve o = c*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811867?\nAnswer: 1811867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:54 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**7\/42 + l**6\/3 - 33*l**5\/20 + 10*l**4\/3 - 8*l**3\/3 + 122*l + 24. Let s(m) be the first derivative of f(m). Factor s(v).\nAnswer: -v*(v - 4)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j - 5*x = 19, -j - 5*x = 13. Let f(v) = -v**3 + 7*v**2 + 8*v + 3. Let b be f(8). Let k be 5\/(-3)*(-66)\/55. Put k, j, b in decreasing order.\nAnswer: b, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -308*x**4 - 6425*x**3 - x**2 - 927917593*x.\nAnswer: -3696*x**2 - 38550*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 40, 34, 24, 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1953*t - 5611*t + 477*t + 138*t.\nAnswer: -6949*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-33)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/433?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 3*g + 48, -g - 18 = -0*g - 46 + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 61*b**2 + 753*b + 6. Determine k(-17).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-161)\/115)*1*6\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56046560?\nAnswer: 2, 5, 29, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6642247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615 divided by -323?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2513*b**2*d + 77*b**2 + 29*b*d**3 + 409*b - 1 wrt d.\nAnswer: 2513*b**2 + 87*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/27)\/a)\/(a*((a\/a**(2\/7))\/a)\/a)*(a*(a*a**(3\/5)*a)\/a)**(-2\/55) assuming a is positive.\nAnswer: a**(59986\/51975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = -4. Differentiate 7 - 21 - 2*k**c - 39*k**4 - 6 wrt k.\nAnswer: -164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223?\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - -16. Suppose 11*r - 7*r - o = -4*m, r + 25 = 4*m. Suppose 3*f - 2*f = 0. Solve f = m*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, -5, -1, -16 in ascending order.\nAnswer: -16, -5, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 - 67*x. Let c(p) = -30626777 + 30626777 - 7*p. Calculate a(c(k)).\nAnswer: -98*k**2 + 469*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6896692 is divided by 65063?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360*o**5 - o**4 + 77*o**3 + 116*o**2 + 18*o + 31 wrt o.\nAnswer: -21600*o**2 - 24*o + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3 - 236*s**2 + 4*s - 4707.\nAnswer: -3*s**2 - 472*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42933 is divided by 14303.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.012 - 80.012. Let b = 117 + x. Which is greater: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 125. Let s = i - -1. Is (-2)\/(-3) + 6\/9*s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 156*s**2 - 32*s + 23. Let n be m(26). Suppose -5*v - 3*c + 850009 = 0, -4*v + 575356 + n = c. Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(3*x - x - x) + 2*x**2 + 0*x**2 - 3*x**2 + (-2 - x + 2)*(6*x + 2*x - x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 21 - 11. Find the third derivative of 4 - 149*m**2 + 29*m**3 - 6 - p*m**3 + 23*m**5 wrt m.\nAnswer: 1380*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3571.9.\nAnswer: -3571.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**2*s**2 - 2*m**2*s - 114*m**2 - 273*m*s**2 - 2*s**2 - 55 wrt s.\nAnswer: 6*m**2 - 546*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/2 + 165*x\/2 + 16497 = 0.\nAnswer: -117, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.951 + -2.0313. Let q = n - -30.5203. Let l = q + -31. Round l to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 10 + 7 + 4*h. Suppose -24*a + 10*a = -112. Determine r(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27447 or 27439?\nAnswer: 27447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212105067.\nAnswer: 3, 89, 229, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r**3 + 5110*r**2 + 108*r + 19107362?\nAnswer: 9*r**2 + 10220*r + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -3. Let h = 6\/11 + -35\/44. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5ad89 + -c?\nAnswer: 5ad7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Let u = -201 + 4629\/23. Let h = u + -35\/46. Which is the biggest value? (a) n (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + 0*q**3 + 0*q**3 + (2*q**4 - 2*q**4 + q**4)*(-3*q - 4*q + 6*q))*((1 - 3 + 0)*(2 + 1 - 1) + 0 + 1 - 2).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32354, -32357, -32362, -32369, -32378?\nAnswer: -32389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61661 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Let u(w) = w - 4. Let h be u(t). Suppose -2*n + 6 = h, -c + 11 + 13 = 3*n. Solve -c = 5*z + 5*x - x, -z - 2*x - 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11964 + -8057. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -49. What is the third smallest value in -3, 0.3, -3\/2, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + (-2 - (-5 - -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 64 - (3 + 0 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2213.4616 to 1 decimal place.\nAnswer: 2213.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8212?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70101 is divided by 13763.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 10*z**2 - 8*z + 7. Let b be d(-9). Let q be 2\/4*(6 - b). Suppose g = q*g - 12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttxxxxtxxxx. What is prob of sequence tt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2. Let s(m) = -m**2. Let k(r) = 3*h(r) + 24*s(r). Let b(o) = o**2 - 55. Let v(f) = -5. Let j(x) = -2*b(x) + 22*v(x). What is j(k(l))?\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 11*h - 5 - 5.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 15. Suppose -4*l - m + 39064 = 0, 20*m = -j*l + 17*m + 19522. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140347858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -3, -14, -35, -72, -131, -218, -339?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2310 - -2441?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 5*k + 8. Let f be a(6). Suppose -8 + 4 = -f*m. Factor 4\/9*s - 2\/9*s**4 + 0*s**m + 2\/9 - 4\/9*s**3.\nAnswer: -2*(s - 1)*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 32 = 6*h. Calculate the smallest common multiple of 44 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372613293 divided by 1989?\nAnswer: 187337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/13 + 37\/39. Let l(k) = k**3 + 3*k**2 - 4*k + 29. Let a be l(-5). Let y be a*(-13 + 12) - (6 + -1). Put b, 3\/2, -14, y in ascending order.\nAnswer: -14, y, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:57 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6 - 14. Let n = k + 9. Is -5\/4 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7446853 decades?\nAnswer: 7.446853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -481953 minus -0.16?\nAnswer: -481952.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - m + 3)*(3*m**2 - 5*m**2 + m**2) - 6*m**3 - 6*m**3 + 3*m**3 - 2*m**3 - 1254*m + 50 - 1254*m + 2510*m.\nAnswer: -10*m**3 + 2*m + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*l**2 + 5313*a**3*l**2 + 32*a**2*l - 81*a*l**2 wrt a?\nAnswer: 48*a*l**2 + 31878*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/4 + -2*4\/32. Suppose -7*g = -2*g + y*j + 50, 0 = g + j + 9. Let n be (-27)\/63 - 1756\/g. What is n rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011110110 + -1100101011100?\nAnswer: 11110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500\/420*(-6)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/120 and 127\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2555600 and 149600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262.43*11.\nAnswer: 2886.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g - 1100 = 57*g. What is the lowest common multiple of g and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/829 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44*5.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z + 20*z = -464*z - 1629 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 2. Let p be k(-1). Suppose -4*b + 15 = 3*f, 6*f - f + b - 25 = 0. Solve -2*a = -5*i + 24, 2*i + 3 = -f*a + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 185. Sort w, -5, 40.\nAnswer: -5, w, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 12*n - 55. Calculate the smallest common multiple of o(17) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-318)*(-63)\/(-28)*2. Suppose -2*r - 5*u = -25, 2*r - 6*r + u + 39 = 0. Suppose -r = -5*y, -4*m = -0*y - 3*y + 6. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 24 = 4*n. Let i = 61 - n. Let v(u) = 6*u**2 + 2*u + 1. Let b be v(-1). What is the highest common divisor of i and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = 44*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times -0.4\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*z - 28, z - 19 = -3*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5468 and 5?\nAnswer: 27340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 - -250. Let i(w) = -7*w + 6. Let m be i(-5). Suppose -2*h + m - 8 = -c, 4*h - 5*c - 75 = 0. Calculate the remainder when g is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**47*t*(t*t**26)\/t)\/(t\/t**(-16\/9)*t*t**(-16)))**(-45) assuming t is positive.\nAnswer: t**305","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, g: 5, c: 1, h: 2}. What is prob of sequence jchg?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2281980*w**4 + 8578718.\nAnswer: 9127920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 6, e: 7}. Give prob of picking 2 o and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2939559 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145469 and -203.\nAnswer: -29530207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1631 and 833494823.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 306560070 to the nearest 1000000.\nAnswer: 307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*z + 1 - 1)*(-140 + 140 - 84*z) + 4*z**2 + 0*z**2 - z**2 + 1 - 4 + 7*z**2 + 4)*(2*z - 5*z + 0*z) in the form b*z + s + l*z**2 + q*z**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3)**(-11))**(14\/9)*((o\/(o*o**(-2\/13)*o*o*o*o*o))\/(o**(2\/13)*o))**(-11\/6) assuming o is positive.\nAnswer: o**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13390546?\nAnswer: 2, 13, 173, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2) - 2)\/(10\/820). Let w = z - -43. Suppose 0 = 5*y - 12 - 3. Solve i - w*r = y*r - 26, 4*r - 17 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145503500 to the nearest one million.\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2156\/5 - 2158\/5. Let n(r) = -3*r**3 - r**2 - r - 1. Let q be n(-1). Which is the nearest to 2? (a) u (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30828 (base 10) to base 6\nAnswer: 354420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 13 - (-6)\/2. Let g(q) be the second derivative of 1\/3*q**m + 0 + 2*q + 0*q**2. Let w(s) = -s**2. Give g(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -44.2. Let d = -989\/2324 + -1\/332. What is the closest to 1 in d, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1 - 29*s**3 - 2*s + 9*s**2 + 4*s - 11*s**2 - 2. Give d(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -1. Is r > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 26187 + 17778 = -5*j, n = -2*j + 8796. Let w = 52901\/6 - n. Calculate the common denominator of -1 - (130\/(-6) - -2) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37743, 75477, 113205, 150927, 188643, 226353?\nAnswer: 264057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -148. Which is the third smallest value? (a) -4 (b) q (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -25.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let j(u) = -4*u**2 + 15*u - 22. Let w(p) = -6*p**2 + 21*p - 32. Let d(s) = -7*j(s) + 5*w(s). What is d(n(m))?\nAnswer: -2*m**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -92. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + 161.06. Which is the third smallest value? (a) -0.3 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/23)*t**(2\/41) assuming t is positive.\nAnswer: t**(-36\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53043336*-5\nAnswer: 265216680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*q - 21, p - q + 6*q = 0. Solve p*t = -3*u + 28, -2*u + 19 = 4*t - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -7*l + 1, 3*l - q + 105463 = 105456 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1621 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = 2*c - 0, -3 = -3*j - 3*c. Put 1, j, -4 in descending order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7263.054 grams in milligrams?\nAnswer: 7263054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12*r**3 - 384*r**2 - 380*r + 20. What is q(-31)?\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 131?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2776561, -2776562, -2776563, -2776564?\nAnswer: -2776565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*m = -51*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/7)\/(2\/14) + -4. Suppose 36 = w*d - 18. Solve 2*p = -k + 11, -4*p + 4*k = -1 + d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + 120121?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209989510.\nAnswer: 2, 5, 20998951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j. Let q(d) = -16*d + 290149. Determine h(q(s)).\nAnswer: -144*s + 2611341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4090683 + -4250722. Let p = -5901405 - w. What is p rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -32*o + 67. What is j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/4*(-157 - 88\/(-8)) is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 10 + 16 - 3 - c**2 + c - 2. Let t(j) = -12*j**3 - 4*j**2 + 4*j + 4. Give -4*n(x) + t(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 15 - 3)*(217 - 3 - 88)*(-4*h**2 + 0*h**2 + 3*h**2).\nAnswer: 1764*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1822 and 20396379?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 10. Let w(o) = -1. Let x(v) = -s(v) + 3*w(v). Calculate the least common multiple of x(7) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 2*x**4 + 3 + x**3 to m*x**3 + z + j*x**2 + p*x**4 + n*x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/5 + 6*p**3\/5 - 2*p**2 - 6*p\/5 + 8\/5.\nAnswer: 2*(p - 1)**2*(p + 1)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977, -1881, -2785?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 21. Let p(b) = 3*b**2 + 4 - 4*b + 4*b**2 - z*b**2. What is the remainder when p(6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-3))\/(0 - 14\/(-8799)). Let t = a + 172. What are the prime factors of t?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from vwqqwwwhv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/(17\/(-272)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 8. Calculate the least common multiple of 20 and l(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 12. Let f be y(8). Suppose 0 = -2*n + 5*x - 9, -f*x + 9 + 0 = -n. Differentiate -n - 3*w - w + 6 + 2 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 48, 144, 244, 348?\n\"Answer: 2*y**2 + 90*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(44)\/sqrt(4) - -6*sqrt(11)*1)*6 - -3*-4*(2 + sqrt(1331)))**2.\nAnswer: 7560*sqrt(11) + 90864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*c + 13752 = -9343 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2508, -5017, -7526, -10035, -12544, -15053?\nAnswer: -17562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -10*a**6\/3 - 5*a**3\/3 + 21*a**2\/2 - 3*a - 52. Find the second derivative of p(l) wrt l.\nAnswer: -400*l**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 2*g + 5*n, 0 = 4*g + n - 4*n - 1350. What are the prime factors of g?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(-24)*(h\/h**(-28))**30 assuming h is positive.\nAnswer: h**1014","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 10, -3\/5, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 130008\nAnswer: 39002.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1 + 2*(sqrt(80) + 1)*3)*5*-6)**2 + -5).\nAnswer: 432000*sqrt(5) + 5228990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1386*l + 10936. What is the smallest common multiple of x(-100) and 10?\nAnswer: 747680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from bkkgb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/12 - w**3 - 3*w**2. Let m be j(8). Suppose -6*n = -m*n + 1016. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s + 237. What is f(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366388?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487461234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*y**4 - 1)*(-3 + 3 + 3*y)*(-227 - 616 - 75).\nAnswer: 5508*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.188 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 310459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7740 + -7739. Put -0.07, 1\/28, t, 3, -3 in decreasing order.\nAnswer: 3, t, 1\/28, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 - 5*x + 29. Determine v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:47 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 10*k**2 + 10*k + 3. Determine o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 6 + 3. Let n = o - -11. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26328581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6362189 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(81\/(-10)) + 72*560\/1620?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f + 2*f + (-1 + 1 - 7*f)*(2 - 2 + 2) - 5*f + 3*f + f + (3 - 4 + 4)*(1 + 0 + 0)*(3*f + 4*f - 4*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/45 - 35\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.73213\nAnswer: -0.146426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021511 < 3021567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -215253721?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 88*y. Let d(m) = -440*m. Let q(t) = 3*d(t) + 16*l(t). Let z(k) be the second derivative of -k**3\/3 + 483*k. Determine z(q(j)).\nAnswer: -176*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t - 3. Let a be m(-5). Let n = -1 - -3. Let b be -1 + -14*(-2)\/n. Calculate the greatest common divisor of b and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 358950.2m?\nAnswer: 358950200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3441 + -0.2941. What is the third biggest value in q, -2\/15, 2\/11, -8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224\/80*5\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237\/7 - 34. Let r = -112 - -109. Let d be (r\/(-12))\/(15\/(-36)). What is the fourth smallest value in -2\/13, d, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -256, -550, -962, -1492?\n\"Answer: -59*n**2 + n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3021 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2537*s - 2535*s + 4*s**2 - 5*s**2)*(2*s + 0*s - s).\nAnswer: -s**3 + 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19023 + 8 + 1 - (-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/5 - 6*k**2 - 242*k\/5 - 42 = 0. What is k?\nAnswer: -5, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 - 4*y + 7. Let m be s(-5). Let z be ((-4)\/(3\/((-27)\/6)))\/m. Which is the biggest value? (a) -0.5 (b) -0.3 (c) z (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 270, 596, 1052?\n\"Answer: 65*f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 27*r**2 + r - 25. Let s be f(27). Solve 0 = -8*t - t + s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3796*g**3*w**3 + 356*g**3 + 2*g**2*w**2 wrt w.\nAnswer: 22776*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 + 6632*x\/3.\nAnswer: -4*x*(x - 1658)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from teagekeek?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, w: 4, k: 2}. What is prob of sequence kc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -975.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 113*c + 1. Let w = 21 + -20. Let t be n(w). Suppose 4*x - r - 55 = 51, 0 = 4*x - 5*r - t. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3405 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 67090*q**2 - 67085*q.\nAnswer: -5*q*(q + 1)*(q + 13417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 246 + -491?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1.5. Let a be (2\/(-8))\/(125\/20 + -7). Let r = 0.7 + 2.3. What is the nearest to a in q, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + (-12 - -8) + 12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146*h**3 + 33454*h**3 + 5568*h**3.\nAnswer: 37876*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 5*f - 5. Let r(p) = 11*p**2 - 14*p - 14. Let a(q) = q**3 - 10*q**2 + q - 2. Let g be a(10). Determine g*l(y) - 3*r(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69.32 + 74.32. Which is the second biggest value? (a) -1\/121 (b) p (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + p + 1, 0 = 3*c + 315*p - 314*p + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.21814 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 765632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/32*-3*(-13)\/((-351)\/(-80))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (212 - 205)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/(a*a**1))\/((a\/((a**5*a)\/a))\/(a**(2\/7)*a)))\/((a*a*a**(-3)*a)\/(a**(-5\/6)\/a))**(-25) assuming a is positive.\nAnswer: a**(2231\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.2 - 24. Suppose -3*k = -2 + 8. Let s = -529.9 + 524.9. Put -3, p, k, s in decreasing order.\nAnswer: p, k, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124128566 divided by -62064283.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5845, 11438, 17051, 22684, 28337, 34010?\nAnswer: 39703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 49. Let z = -40483625.999991 - -40483603. Let v = z + l. What is v rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -610504 (base 8) in base 3?\nAnswer: -101012202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*f + 60 + 13, -4*n = 2*f + 46. Let h be (-2 + 1)*31\/(-1). Let z = f + h. Is z < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155106 and 5166.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 74\/67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-136)\/(-16) - 9) + (-7202)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((14\/4)\/(-7)). Suppose -o*x - 2*x + 480 = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 22 = 3*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.5 + 61. Let t = -8.5 + z. What is the third smallest value in 2, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 3. Let x be 12\/(-66) - 60\/154. Put x, p, -2\/7 in decreasing order.\nAnswer: -2\/7, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3*z - 818 + 823, 0 = -4*q + z + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(8\/28 - 256\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 0*f + 0*f + (317 - 1308*f - 317)*(3 - 1 - 1) + 1 - 1 - f.\nAnswer: -1311*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzmcqccmzmqmmm. What is prob of sequence mz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n - 1. Let j(u) = -n*u**2 + 8*u**2 - 4*u**2. Let y(p) = 19*p**2. What is y(j(b))?\nAnswer: 19*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23063 + -61?\nAnswer: -23124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4237351 and -3.\nAnswer: 4237348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b48 - -a661?\nAnswer: 9715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/10*19\/(57\/30). What is the highest common divisor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6432*s**2 - 13345*s**2 - 16*s**3 + 6913*s**2 + 14*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -20383 - 46385. Does 39 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 183*f**2\/2 + 6120*f + 114400.\nAnswer: (f + 40)**2*(f + 286)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.5, -1\/15, 86, 11\/6, 0.3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 5. Determine g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, q: 2, y: 9}. Give prob of sequence yyyy.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:48 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 236656*w - 14001515584.\nAnswer: -(w + 118328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -861124 = 91*q - 135*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:10 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 175*o - 1582. What is the smallest common multiple of f(75) and 5380?\nAnswer: 59180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1544*z**2 - 641*z**2 - 329*z**2 as o*z**2 + h*z + q and give o.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377.33787 days to weeks.\nAnswer: 53.90541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210224.\nAnswer: 2, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -1410?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 4*u - 7 + 9*u**2.\nAnswer: 9*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.22 + -39.22. Let q = 39 + r. What is the fourth biggest value in q, 2\/15, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/128 + -33\/128. Sort 3, l, 2 in descending order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 71, -55 in increasing order.\nAnswer: -55, -5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 38. Let u(c) = -21 + 3*c**2 - 17*c - y*c**2 + 10. What is the remainder when 32 is divided by u(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxg when three letters picked without replacement from {g: 1, x: 4, l: 1, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12)\/((-3)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1430 - -33746?\nAnswer: 35276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 14*j + 46. Let f be o(-6). Sort -4, -3, 0.4, f in increasing order.\nAnswer: -4, -3, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2727 (base 12) to base 3.\nAnswer: -20011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**3 - u**2 - u - 4. Let p be x(-2). Suppose -65*d = -p*d + 31. What is the highest common factor of 496 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 252 = -5*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24619436 and 27696.\nAnswer: 295433232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/108 and -31\/29769192.\nAnswer: 89307576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5))\/(w\/w**(-7)))\/(w\/(w**(1\/2)*w*w*w*w)*w)**(6\/19) assuming w is positive.\nAnswer: w**(-552\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*i + 4 - 25, 2*s - 10 = 2*i. Solve q = -s + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 60*j**3 - j**2 + 1. Let p = -602 - -618. Calculate the remainder when c(1) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 3. Let f(d) = -d - 6. Suppose -i = i. Let h be f(i). Is p(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*u = -43233 + 16648 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1384368 - -2744368. Round n to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)\/u)**(-2\/45)*u\/u**(1\/4)*u\/u**5 assuming u is positive.\nAnswer: u**(-187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14)\/2*(-10)\/7 and 2\/(-12) - (-605)\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*g + 375*g - 121*g - 117*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.05. Let f = -4.05 - j. Suppose 0*t + 10 = 5*t. What is the second biggest value in f, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20026 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/21 and -29\/9313675?\nAnswer: 27941025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 20 = -5*x, -x - 12 = -3*h. Calculate the least common multiple of 18 and h\/22 + (-174)\/(-11).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 40*b**2 - 49*b + 342. List the prime factors of l(9).\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1203 and -38?\nAnswer: 37.8797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-21 + (3 - (8 - 7))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155484*b + 1502.\nAnswer: 155484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014148274109 to six dps.\nAnswer: -0.014148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**5\/20 - 3*x**4\/8 + 23*x**3\/6 - 16*x**2 + 34. Let b(p) be the second derivative of a(p). Does 12 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffffffqqqffffffffq. Give prob of sequence ff.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + -1)*(1 - -4). Let d be (c\/(-10))\/((-1)\/(-2)). Suppose -3*r + d = -1. Sort r, 4, 0 in descending order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - k + k)*(2 - 9*k + 10*k - 4*k) as a*k + x + q*k**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/7)*((y*y*y*(y**(1\/9)*y)\/y)\/y*y)\/y*(((y*y\/(y*y\/(y\/((y**(-3)\/y)\/y))*y))\/y)\/y)\/(y*y*y*(((y*y*y**(-2\/11)\/y*y*y)\/y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(1490\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2235324 (base 6) to base 14\nAnswer: -2d75a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-1 + -1)) + 10 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 776*g**3 - 2081?\nAnswer: 2328*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -593 + 591. Is n\/(-13) - ((-7240266)\/143)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 405*b**2 - 11*b + 27. Let n be h(6). Suppose -n = -9*k + 4557. Let w = k - 1455. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 88. Let t be (-2)\/m + (-28)\/(-252). What is the smallest value in 0.5, t, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7*(-35)\/(-15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 570016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6116 is divided by 340.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-3)\/18 - (-373)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -70, 0, -4 in ascending order.\nAnswer: -70, -14, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.5, -0.4, 65?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -37 - 36. Suppose 0*o + 4*o + 372 = 0. Let b = r - o. Solve 4*a - b = 8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 72 = -7*c. List the prime factors of c - ((-10)\/2 - 3) - -353.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 8*d)*(3*d**2 - d**2 - 3*d**2) + (2*d**2 - 3*d**2 - d**2)*(2*d + 4*d - d)*(0 - 2 + 0).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*86\/(-14319))\/4*3\/(-4)*2?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 13 - 7 = -4*d, 0 = -a + 4*d - 20. Solve 0*c - c + 4 = a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16001222 (base 8) in base 13?\nAnswer: 9b69c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 3*i + 7*i - i**3 - 4 - 5*i**2. What is s(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 133, 178, 221, 262?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (2 - (-17 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:00 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (2\/2)\/((-2)\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z**3 + 0 + 1\/12*z**4 + 3*z**2 - 1\/30*z**5 + 0*z. Factor k(i).\nAnswer: -2*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 52, 0.4 in decreasing order.\nAnswer: 52, 0.4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 17*b + 16*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**5\/20 + u**4\/4 - u**3\/2 - 2*u**2 + 11. Let r(n) be the second derivative of m(n). Find h such that r(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 43. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9501392.\nAnswer: 2, 23, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 25.9. Let i = 2 + h. Let j = i + 0. Which is bigger: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009 - 153643 = -7412*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263*v**2 - 34*v + 2 wrt v?\nAnswer: -526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3022709 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + 0*b**2 - 183 - 5*b**2 + 51 - 208 to i*b**2 + y + k*b and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 36*w**2 - 38*w + 56. Calculate the remainder when 168 is divided by c(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-6 + (2 - -1) - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.9 and -301647697359.\nAnswer: -301647697341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32 + 12*v**2 - 56*v - 40*v**2 + 56*v wrt v?\nAnswer: -56*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (47 - 33)) + (-1 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/9 + ((-484340)\/6039 - -82)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1507*r - 574186. What is u(381)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5504.7 - -5505. Let d = 0.5 - 5.4. Let x = d + -1.1. Which is greater: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*x + 62. Suppose -4*z + 18 = -2. Determine w, given that 16*w**3 - 14*w**2 + 11*w - 4*w**4 + 8*w**2 - 18*w**2 + z*w - x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434291312?\nAnswer: 2, 3, 29881069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 218*a**2\/7 - 636*a\/7.\nAnswer: -2*a*(a - 106)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525870 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -26*f**2 + 23*f - 11. Let b(c) = -c**2 - 6*c**2 + 8*c + c**2 - 4 - 3*c**2. Determine 17*b(z) - 6*t(z).\nAnswer: 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*v + 113 + 7, 2*o = -4*v + 130. Suppose 0 = -30*d + v*d - 750. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/22*330\/60.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -14*p - 79 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 3. Let p be c(-6). Suppose 8*d - p*z - 12 = 3*d, 11 = 2*d + 5*z. Solve -6*w - 3 = -5*k - 2*w, d*k + 6 = 5*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/9 + 3044*s**2\/9 + 48320*s\/9 + 64256\/3 = 0.\nAnswer: -1506, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(1\/3)*d*d**3 assuming d is positive.\nAnswer: d**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/18)\/(-1*(-2)\/(-6)). Suppose -7*b = -m*b + 5. Let h(z) = 2*z. What is h(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*k + 436, 363*i + 4*k - 904 = 367*i. Let v(l) = -18*l**2 - 2*l - 2. Let a be v(-3). Let m = a - i. Sort -1, 3, m in descending order.\nAnswer: m, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/5 - -1 - 5 - -6. Let u = -656 - -664. Solve f = u*w + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*j = 766, 2*g - 502 = -2*j + 280. List the prime factors of 1\/(-6) + g\/54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 7*h - 4*h)*(-1 - h + 1) - 6*h**2 - h**2 + 3*h**2 as j + p*h**2 + f*h and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*m. Let y be 1\/m - 119\/(-21). Let q be y\/(-42) - (1 + -1). Which is the closest to -1? (a) q (b) -0.07 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 24 = 6*k. Let l be 3 + -1 + -8 + k. Solve -4*c + l*c = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*z**3 - 212*z + 212*z + 105*z**3.\nAnswer: 138*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 4*z - 24, -z - 43 = 5*a. Let f(x) = -x**2 - 9*x - 10. Determine f(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023186237 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-4\/7))**(-2\/27) assuming r is positive.\nAnswer: r**(16\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*h - 60 = -2*w, 2*h = -2*w + 34. What is the remainder when 95 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 363\/77 + 2\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = -0*p - p, 2*y = -4*p + 14. Solve 29 = p*m - 2*m + 5*u, -3*m = u - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434692446 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 6*f**2 + 0*f + 5 + 3*f**2. Let u = 24 + -17. Suppose -2 = -9*j + u*j. Let r(b) = -b**2 - b + 1. What is j*m(v) - 4*r(v)?\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*-8*1\/(48\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 + 305*v**2 - 510*v + 75. Let m(f) = f**2 + 7*f - 3. Let h(p) = 25*m(p) + q(p). Suppose h(r) = 0. Calculate r.\nAnswer: -67, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/4 + 5023*z\/4 + 13351656 = 0. What is z?\nAnswer: -5216, 10239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -122. Which is the third smallest value? (a) -2\/3 (b) -0.4 (c) -0.3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*x**3 - 75*x**2 - 10*x = 0. Calculate x.\nAnswer: -2\/5, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -959*s - 9. Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -105, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 10 + 11*f - 8 - 8*f)*(-f**2 + 2*f**2 + 2*f**2).\nAnswer: -12*f**4 + 9*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -131*h + 144*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9368337 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 56. Suppose 3*l + 5*w + 56 = 0, 2*l + 28 = -w - 0*w. What are the prime factors of (l\/s)\/((-4)\/112)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129348, -129280, -129166, -129006, -128800?\nAnswer: -128548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79688079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15048 = -2*d - 4*t, -d + 6526 = 3*t - 994. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19495 or 19496?\nAnswer: 19496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697917.\nAnswer: 3, 11, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148*b*r + 6*b - 138477*r + 20118218 wrt r.\nAnswer: 148*b - 138477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + -1)*(-2)\/(-20)*-2. Let w be (l + -403*1)\/(-1). Suppose -3*t = t - p - w, t + 3*p = 94. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**4\/12 - 2*z + 29. Let s(t) be the second derivative of 259*t**4\/12 - 2*t - 178. Determine s(h(m)).\nAnswer: 259*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58493673 divided by 19497891\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.073 from -65.\nAnswer: -64.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 4*u + 4. Let v = 24 + -28. Let d(f) be the third derivative of 2*f**5\/15 + 3*f**4\/8 - 3*f**3\/2 - 5*f**2. Give v*d(o) - 9*s(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490704, -981414, -1472126, -1962840, -2453556, -2944274, -3434994?\nAnswer: -3925716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2548*20.\nAnswer: 50960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2056, 1476, 510, -842?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1863761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4944 or -4961?\nAnswer: -4944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204988866249.26490038 + -204988870047. Let a = 3797.3351 + y. Let u = 0.4 + a. What is u rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 64. Let r = -16 + t. Let j = r + -18. Which is the nearest to 0.1? (a) -0.2 (b) -6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {d: 1, y: 2, p: 1, a: 1, u: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34 from -0.307621.\nAnswer: -34.307621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 10361.\nAnswer: -11, -3, 10361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x**2 - x + 3. What is s(2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/5)*w**7)\/(w*(w\/(w\/(w\/(w\/w**(-4))*w*w)))\/w*w**(-7)\/w) assuming w is positive.\nAnswer: w**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 2 = 0. Let v be f\/(-9) + 29\/9. Solve 4*i - 3*a - 16 = 0, 0 = 3*i - 8*i + v*a + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.961 - 0.139. Let a = 2.1 + h. What is the closest to 1 in -4, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -213 + 12 + (-1 - -2). Let l = 224 + o. Let n = 17 + 1. What is the least common multiple of l and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u + 1. Let x be f(-1). Suppose 7 - x = 2*a. Suppose -3*q = -5*r - 65, r = a - 4. Calculate the smallest common multiple of q and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m**2 + 675*m + 21. Calculate the smallest common multiple of g(61) and 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**2*h*p*s + 2144*g**2*p**3 + g*h*p**3 + 4474*g*h*p**2*s - 5*g*h*p**2 wrt g?\nAnswer: 20*h*p*s + 4288*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10676724 divided by -10.\nAnswer: 5338362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31982 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291527941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441320 divided by 10?\nAnswer: 444132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(-2 + (1*(sqrt(325) + -3) - sqrt(325)))*5)**2*-6.\nAnswer: -15000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 963505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 7*v**3 + 11 - 8*v**2 - 2*v**3 + 7*v. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.4, -4, 10\/7, -1, -2.135?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r + 85. Let s be j(18). Suppose 5*w + 610 = 3*b, -w = -2*b - 115 + s. What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:47 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 225 (c) 2 (d) 1 (e) -5 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifrem. What is prob of sequence fire?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-4)\/6). Let s = h - -6\/7. Which is the second biggest value? (a) 2\/7 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l - 1. Let u(f) = 4*f**2 + 102*f + 149. Let b be u(-24). Let w(o) = o**2 - 5*o + 7. Determine b*h(n) + w(n).\nAnswer: 6*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*u**2 - 137*u - 2*u**3 + 2*u**2 + 1 - 50*u**4 + 135*u to c*u**4 + s*u**2 + p*u + t*u**3 + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -213, -1, 2\/3, 3\/10 in decreasing order.\nAnswer: 2\/3, 3\/10, -0.08, -1, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzezee. What is prob of picking 3 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -0*y - y - 9, 2*y - 2 = 2*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = -5*r, 0*r = 5*a + 2*r - 19. Let z(p) = p**3 - p + 2. Let s be z(-2). What is the smallest value in a, -1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/15 and (-336)\/207 + 0 + 1 + 1?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 6\/5, 0.621 in ascending order.\nAnswer: 0.621, 6\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/(3\/30). Let o = -2 + 1. Let x = 1 + o. Put x, m, 1 in descending order.\nAnswer: m, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 5. Let q be a + 0 + 2 + -4. What is the common denominator of 19\/7 and (q\/11)\/(2\/(-74))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56833*t**3 + 6*t**2 - 123*t wrt t?\nAnswer: -340998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*l - 6238, -3*z = 6*l - 4*l - 3742. What are the prime factors of z?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:17 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.8 + -0.2. Let o = -31 - u. Which is the nearest to -0.3? (a) 3\/4 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfqqmqqj. Give prob of sequence fm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(352)\/sqrt(8))**2 - sqrt(11)) + sqrt(44) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -6*w - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-24)\/30*190\/1216) - -6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 28. Let m = n - -30. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 817 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5442 and 3628.\nAnswer: 10884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28090 divided by 2?\nAnswer: 14045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i**(-6\/5)\/i)\/i)**(-9) assuming i is positive.\nAnswer: i**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.56 and 198180.\nAnswer: -110980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r + r - 304 - 3*r + 307 + r**2. Give i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 70*l + 913. Let i be x(-13). Solve 3*u - 5*f = 7, 2*u - f - 4 = i*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/6698 or -1?\nAnswer: 3\/6698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7383*c**2 + 44202*c - 575. What is j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*c - 12 = -163*c. Suppose -1274 = -c*k + 334. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = -r. Suppose 0*z = z - r. Let f(v) = -5*v - 1. Let l(y) = -3*y - 1. Let b(d) = z*l(d) - 3*f(d). Differentiate b(m) with respect to m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1463957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 24 - 4 = 0. Let z(x) = x**2 + 3*x + 2. Let m be z(w). Suppose 5*d - 3 = -3*r, 3*d + 27 = 5*r - m. What is the highest common factor of 9 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4472)\/(-28) + 3\/(-21). Let w = 160 - x. Is 1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 3*u**6\/20 + u**5\/60 - 31*u**4\/24 + 2*u**2 - 11. Find the third derivative of i(r) wrt r.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 10*z - 21*z)*(0 + 4 - 2)*(0 - 5 + 4)*(-135 - 77 + 10).\nAnswer: -7676*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -2226112?\nAnswer: 2226116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.02. Let o = 3 - 2.6. Which is the nearest to w? (a) o (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/15 and (-14)\/12*(-416)\/(-2184)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 12*y**2 + 4*y - 6*y to the form x*y + z + c*y**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 11*s**2 - 14. What is l(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -436*w**3 + 1. What is the units digit of f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33418 - -33423. Which is the smallest value? (a) n (b) 241\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4599*u**3 + 4723.\nAnswer: 13797*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 683583884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 - 4*v - 1. Let a be u(3). Let p = -14.21 - -1.21. Let o = p + 13.4. Sort o, -16, 1, a.\nAnswer: -16, a, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-308)*12 + (-2)\/(538062\/(-115257)). Is y less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14598 and 79\/48?\nAnswer: 116784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8623, 17552, 26481?\nAnswer: 35410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2760 divided by -4.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 5. Let n(h) = -7*h + 1. Let o(y) = y**3 - 9*y**2 - 1. Let q be o(9). Calculate the lowest common multiple of n(q) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 4:57 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6967186 a multiple of 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20369473.\nAnswer: 977, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 460 + -460. Suppose -16*x - 12*x + 112 = p. Solve 0*m = x*m - 3*a - 5, 2*a = m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 1. Let h(x) be the third derivative of -7*x**5\/15 - x**4 - 4*x**3 - 11*x**2. Let f(r) = h(r) + 24*l(r). Let j(k) = -8*k. Give j(f(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)\/j**2*j**0\/(j**4\/j)*(j**(-1)*j)**(-2\/7)\/(j**1)**(-17\/2) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 53578\nAnswer: -214312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 - 18618*m**3 - 242505*m**2 - 223884*m = 0. What is m?\nAnswer: -12, -1, 0, 6219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*o = 71 - 24, 2*n + 7*o = n - 31*o + 107 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21524.\nAnswer: 2, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 10:47 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2. Let f(s) be the second derivative of s**6\/180 - s**3\/2 + 3*s. Let o(v) be the second derivative of f(v). Determine o(t(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = l + 256, -t - 2*l = -3*t + 134. Let z(k) = -k**3 + 76*k**2 + 21*k - 1587. Let x be z(76). Calculate the greatest common factor of t and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 - 3*k**2 + k. Let i(n) = -4 + 2 - 1 + 6. Let o(h) = 10. Let w(v) = 7*i(v) - 2*o(v). Give -6*w(r) - z(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -31 - -9) + (-12 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let c(t) = 869*t. What is c(w(k))?\nAnswer: 869*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4111 + -4?\nAnswer: -4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6922866563 take away -2?\nAnswer: 6922866565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*j + 533 = -604*j + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2)*(-5)\/(-2). Solve -2 = -s*m + 5*i + 23, 0 = -3*m + i + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 49\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)\/(o**(-3)\/o)*(o**(3\/4)\/o)\/(o*o**(-3\/4)) assuming o is positive.\nAnswer: o**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 14*y - 7. Let k(n) = 37*n - 44. What is the remainder when k(10) is divided by q(8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19508 to 3 decimal places.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 40 = 4*g, 3*g + 128*z + 120*z - 249*z = 46 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0) + -1 - -1136306958. Let r = 8212090428170\/7227 - l. Let j = 1\/7227 + r. What is the common denominator of 21\/4 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - c + 0*c**2 + 2*c**2)*(-237 + 164 + 360).\nAnswer: 574*c**2 - 1148*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2282\/98 - 23 - ((-142)\/6)\/(140\/300).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 + 17*p + 34. Let q be w(-4). Suppose -2*c - 2*d - 5 = d, -5*d = -c + 17. Sort 4, q, c, 5.\nAnswer: q, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y**5*y)\/(y*y**(-3)\/y*y*y*y**1\/y*y*y) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:16 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**7\/840 + y**5\/30 - y**4\/3 - 2*y. Let q(d) be the third derivative of p(d). Find the first derivative of q(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = -t - 440. Let b(d) = 4*d + 96. Let i be b(t). Solve -5*w - 5*c - i = 2, 2*w - 3*c - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 70*i - 926. Calculate t(14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38008660 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let x = -53 - -58. Let c(t) = 3*t. Let b(l) = x*y(l) - 2*c(l). Let g(u) = 5*u**2. Calculate b(g(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -909\/949778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-2 - 4) - 3. Suppose g*o - 5*s - 165 = 0, -3*o - s + 22 = -78. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/(1 - (-21)\/(-28))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12119 and 25.\nAnswer: 302975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) -3 (b) -6 (c) 0.4 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/6 + (-2)\/6. Suppose 5*y + 4 = y - o, 0 = -y - 5*o + 18. Let d be y\/3 - 50\/(-30). Which is the nearest to d? (a) 1\/2 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:48 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-56) - 3\/(-2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -140*w - 129. Determine d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 8. Let c(b) = -b**w - 4*b**2 - 4*b**2 + b**2. Let j(z) = -2*z**2. Give c(j(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a + 10. Let n be (4\/(-10))\/((-1)\/a). Suppose -x + 19 = 2*c, n*x - 3*x = -5*c + 9. What is the least common multiple of x and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324*o**4 + o**3 - 12*o**2 + 3*o + 864658 wrt o?\nAnswer: 1296*o**3 + 3*o**2 - 24*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:11 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18722 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -30. Solve -p*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.5450287233 plus -4?\nAnswer: -63.5450287233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - m = 1973, 0 = 3*c - 50*m + 48*m - 5914. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 69\/15 - (-6)\/(-10). Suppose 3*r + 4*n = 36, 5*r - 60 = n - l*n. What is the remainder when 21 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 1\/3, 2, -1240.\nAnswer: -1240, -2\/3, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 7836.\nAnswer: 15672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/d**(-5))\/(d*d\/(d\/d**(-1))*d*d**4\/d*d*d))\/((d**(-5)*d**(-1))\/((d*d*d*d**(-2))\/d*(d**(3\/5)\/d*d*d)\/d*d)) assuming d is positive.\nAnswer: d**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19524, -37817, -56110, -74403, -92696, -110989?\n\"Answer: -18293*k - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 17*w = 0. Let g be -3 + 7 + (-1 - w). Suppose -g*k + 2111 = 452. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 2*l**2 - 8. Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -199*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 29052?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12143011 - -314?\nAnswer: 12143330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.65 - 12.35. Let w = 0.4 - 0.3. Let k = w + 0. What is the nearest to -3 in k, 1\/5, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.22 (c) -4 (d) -25 (e) 2\/15 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7009 + -6976.32. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 6 (c) 3 (d) 0.2 (e) -939\/7 (f) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 5*a)*(0 + 4 - 3)*(3 - 14 + 5).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from {q: 7, h: 1, w: 8, u: 4}?\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -36. Let x = 14.3 - 14.6. Let b be (-20)\/2*(-1)\/(-12). What is the closest to -3\/2 in b, d, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*14*2\/40*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:51 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhch when four letters picked without replacement from {u: 3, z: 1, c: 3, h: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 + 4*d + 2. Suppose -4*a = -3*j + 4*j + 8, 4*a = -4*j - 8. What is k(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.3 (c) -1\/15 (d) -469 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801785003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21141, -42281, -63421, -84561, -105701, -126841?\nAnswer: -147981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -45*b - 8. Let z(h) = -139*h - 24. What is 11*u(t) - 4*z(t)?\nAnswer: 61*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 248*n - 746. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 2860*p**2\/7 - 1019584*p\/7 - 2050624\/7.\nAnswer: -2*(p - 716)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 1\/2*y**4 - 3\/2*y**2 + 0*y**3 - 7*y**5 + 2*y + 29. What is the second derivative of z(v) wrt v?\nAnswer: -420*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18773 (base 14) to base 5\nAnswer: 3434331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6614, -26109, -58484, -103739?\n\"Answer: -6440*t**2 - 175*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ffftfytttfftfpttfyff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 632756544 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*k - 15, 10513*k - 10515*k - 27 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 66*q + 34*q + 32*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 7. Let u be s(7). Let a(z) be the first derivative of u*z**3 - z + 1\/2*z**4 + 0*z**2 - 1. Differentiate a(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + 6*t**2 - 9*t - 3. Let d(x) = -x**4 - 2*x**3 + 7*x**2 - 8*x - 2. Let a(u) = -3*d(u) + 2*g(u). Factor a(y).\nAnswer: 3*y*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0.3, -6\/13.\nAnswer: -6\/13, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**1*b\/b**0*b**(1\/35)*b**14\/b*b)**(1\/3) assuming b is positive.\nAnswer: b**(187\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from wmwm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61070628 and 393.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232228, 464260, 696288, 928312, 1160332?\nAnswer: 1392348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + c = -430, -4*c = -3*z - z + 560. Suppose -148*p = -z*p - 36. What is the smallest common multiple of 3 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 46 + 18. Suppose 4*r - 5*v = -r + 60, 2*r - 4*v - 32 = 0. What is the greatest common divisor of z and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85 - 54 + 34 - 38)*(-521*t**2 + 521*t**2 + 283*t**3) to the form u*t**2 + m*t**3 + h + c*t and give m.\nAnswer: -40469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 (base 8) in base 9?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, -3\/11, 4 in descending order.\nAnswer: 4, -2\/33, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 30*v + 560.\nAnswer: -5*(v - 14)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j - 15. Let m(x) = -2*x + 4. Give -2*m(z) - p(z).\nAnswer: 10*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25300791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {f: 4, e: 7, i: 2, c: 5}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -27 + 3 - 2\/1. Let g = -21 - r. Suppose j + g - 42 = 0. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 11. Is v a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23592 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let f(i) = -136825*i**2. Calculate f(v(s)).\nAnswer: -4925700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)*(-5 + 3). Suppose 0 = -u*q + 2*t + 48, -6 - 19 = -q + 2*t. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 25*q - q**2 - 569 - q**2 + 7*q**2 + 149 = 0.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003181198 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + p)*(3 - 1 - 4) + 2 - 2 - 2*p)*(p**3 - 3*p**3 + 4*p**3).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5)*3\/2. What is the second smallest value in r, 5\/4, -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cdda (base 15) to base 13.\nAnswer: 33b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6 + 39 = 0. Let w(s) = s**2 - 8*s + 3. Give w(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -38. Let q = v - -19. Suppose -749 + 5437 = q*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1414737847 from 3.47.\nAnswer: 1414737850.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*n - 274*n + 5*l + 102 = 0, -n - 3*l - 66 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(1\/3)*(j*j\/j**(-4\/3))\/(j**(2\/7)*j)*j**2\/(j\/(j**3*j))*((j**(3\/7)*j)\/j)\/(j*j**(-4\/5)) assuming j is positive.\nAnswer: j**(243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80076.881 - -209.\nAnswer: 80285.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117481 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, 179, -4, -5 in decreasing order.\nAnswer: 179, 35, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 8. Let b be u(-7). Solve -p + 3*f + b = 0, -3*p + f + 4 = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17184421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -59*j**3 - 4*j**2. Let r(a) = -60*a**3 - 5*a**2. Let t(h) = -6*b(h) + 5*r(h). Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/84 + p**5\/10 - 7*p**2. Find the third derivative of s(r) wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 261 in -523, -7, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:05 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2883*s**2 + 2977*s**2 - 226*s**2)*(-1 + 0 - 1).\nAnswer: -11268*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13173\/2 + -6571. Let d(x) be the second derivative of -4*x**3 + g*x**2 + 0 - 19*x. Differentiate d(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 26*y**2 - 60*y**2 + 34*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 1328*d**4 + 20580*d**3 - 113320*d**2 + 261056*d - 212352 = 0. What is d?\nAnswer: 2, 3, 4, 7, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201.419 - 5192.\nAnswer: -5393.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175577 and 1898658?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 2482.\nAnswer: -223.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 + 18*h**2 + 0*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d*r*u**4 - 3*d*r*u + 15*d*u**4 + 4*d*u**2 + 3*d + 6*r*u**4 + 2*r*u**2 - 4*r wrt u?\nAnswer: 288*d*r*u + 360*d*u + 144*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-3 + (-148)\/(-20)). Let j = -44 + u. Solve 3*c + j = 5*s - 18, -3*c + s - 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5800 divided by 4\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101010100010011 - 1011?\nAnswer: -11001101010100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 85. Let g(u) = u + 6. Let p be g(-3). Suppose -2*a - 5*b + 8 = 0, 0*a - p*b - d = -2*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: Solve -27077 + 27067 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 310735153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.79 times -9.6?\nAnswer: -996.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 0)*((-100716)\/(-660) - 141)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 23 = -3*b - 18, -5*a + b = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2074, -8285, -18636, -33127, -51758, -74529, -101440?\n\"Answer: -2070*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(1053)*-1 + sqrt(1053) + -6*(1 + sqrt(1053)) - -6*(sqrt(1053) + 0)*-2)**2*-4.\nAnswer: -1365089 - 12960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -193, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -430 or -431?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106\/20 - 3) + (-4)\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12*n - 5 + 3)*(-3*n + n + 3*n)*(-46 - 30 - 11).\nAnswer: -1044*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1266915\nAnswer: -1\/422305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 15.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*u - 7*u. Suppose b - w = -0*w + 5, -4*b - w + 20 = 0. Let d(y) = y**2 - 11*y - 16. Let s be d(12). Sort s, u, b in ascending order.\nAnswer: s, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16*z + 438. Give b(24).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52394.7 - -52395. Let j = 1142\/15 + -76. What is the third smallest value in -2\/19, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6599 is divided by 300.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31330010.\nAnswer: 2, 5, 83, 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28862, 28856, 28850, 28844, 28838, 28832?\nAnswer: 28826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-5)))**(-2))**(36\/5))**4 assuming m is positive.\nAnswer: m**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/(3536\/(-4420))*72\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314494 or 314502?\nAnswer: 314502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p + 5. What is the remainder when 100 is divided by o(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1771*u. Let h(p) = 17*p**2. Determine h(j(f)).\nAnswer: 53319497*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3878722 + 8?\nAnswer: 387872a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(120) - 3*(sqrt(120) - 1*sqrt(120)))\/(sqrt(486) - sqrt(6)) + -3))**2.\nAnswer: -54*sqrt(5) + 1341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 97*t**2. Let x(h) = 24 + 25 - 29 - 20 + 8*h**2. Determine n(x(g)).\nAnswer: 6208*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 + 4 = 0. What is the derivative of a - 2 - 3 + z**3 + 4 wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -29*z**2\/2 + 5. Let o(x) = -4*x - 3. Let m(r) = 15*r + 11. Let c(n) = 6*m(n) + 22*o(n). What is j(c(h))?\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699755 is divided by 1939?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424496*f**5 - f**4 - 2*f**3 + 71*f**2 - 1314*f.\nAnswer: -25469760*f**2 - 24*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2850)\/304)\/(-75))\/(1\/((-4)\/(-9))).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + v - 49 = u, -4*u - 5*v - 67 = 0. Let r = u - -29. Calculate the remainder when 45 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5 + 5*q**3 - 4*q**3 - q**2 + 4 + 3. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 124, -0.36, 3\/4, 0.647 in ascending order.\nAnswer: -4\/3, -0.36, 0.647, 3\/4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*t + 173, 0*t - 220 = 5*t - 5*g. Let y = t + 107. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)\/(x**0*x)*(((((x*x*x**2)\/x*x*x)\/x)\/x)\/x)**(1\/21)*(x**(-2\/9)*x*x**(3\/13)\/x)**(5\/4) assuming x is positive.\nAnswer: x**(-2201\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21035765 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i - 140. Let c be 1\/3 - 51\/(-9). Suppose -3*f - c = -63. What is the remainder when f is divided by s(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9917, -81392, -275381, -653138, -1275917, -2204972, -3501557, -5226926?\nAnswer: -7442333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6*n - 2*n = 1, -2*q + 2*n - 4 = 0. Is 25 a factor of (-6 - -204)\/(1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1351 + 11098. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -761 + 764. Let l = 6227 + -31847\/5. Let m = 142 + l. What is the nearest to -2\/5 in m, v, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and (1\/20)\/(2\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 9*b - 23*b + 2*b + 7*b. Let v = -2 + 3. What is s(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 10. Let y = 5.9 + v. What is the closest to y in -2\/7, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -1 - 1\/20*x**5 - 7\/120*x**6 + 31\/48*x**4 - 111*x - 3\/2*x**2 + 2\/3*x**3. Solve q(u) = 0 for u.\nAnswer: -2, -1, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.732 - -3.232. Let z(m) = m**2 + 6*m - 1. Let u be z(-6). Sort 0.24, u, t in descending order.\nAnswer: 0.24, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -1336. Let v = -1187 - f. Factor 1\/2*t**4 - 1\/2*t**3 - 1\/2*t**2 + v + 1\/2*t.\nAnswer: t*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -335848.\nAnswer: 32\/41981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491732*w + 491733*w - 124 = 2*o, -4*w + 9*w + 325 = -5*o for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 22. Let m(n) = -2*n + 23. Let d(h) = -4*m(h) - 3*t(h). Let k be d(-18). Let r(g) = -3*g**3 - 5*g**2 + 9*g - 5. Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 3, 0, 5, -1, -0.59 in descending order.\nAnswer: 78, 5, 3, 0, -0.59, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)**(-12)*(u\/((u\/u**(-1))\/u))**(-16) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let m(g) = -8*g + 4. Calculate -m(p) - 4*y(p).\nAnswer: 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnfqblfqfnnfq. What is prob of picking 2 f, 1 n, and 1 q?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -0.16 (b) -405 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 53. Suppose 0 = 3*i - 2*b + 3*b - j, 3*b + 3 = 0. Factor i*d**2 - 3435*d + 3435*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)*s*s**(-2\/33)\/s assuming s is positive.\nAnswer: s**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*y**5 - 3661675*y**3 - 273127971*y wrt y.\nAnswer: -180*y**3 - 21970050*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 930.3419 hours?\nAnswer: 55820.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/25 - 34\/225. Which is the smallest value? (a) j (b) -1\/2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11333233031 (base 4) in base 8?\nAnswer: -5775715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5 = -2*z - 5, 2*h - z = 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.1 + -1.1. What is the third smallest value in 0, c, -3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -58\/7, 0.1, 2, -12, 1\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 - 4432353*n**2\/4 + 4911436062975*n\/4 + 4911440495329\/4 = 0. Calculate n.\nAnswer: -1, 2216177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 28 = n, 2*a = 6*n - 4*n + 20. Solve 0 = a*f + 38 - 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 92 = 4*z, -1394*z - 2*b + 17 = -1417*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3945 and -0.08.\nAnswer: 3944.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + t + 2*t + 7, -3*s - 5*t = 13. Let p = -0.5 + -1. Let w = p - -0.5. Which is the closest to w? (a) 2 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -15\/4, -4\/7, 4, -13\/10 in descending order.\nAnswer: 4, 0.1, -4\/7, -13\/10, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(70)*3 - -5*(sqrt(70) + sqrt(70) + -1*sqrt(70)))*5)\/(6*(sqrt(100)\/(6*sqrt(10)) - sqrt(10))*5).\nAnswer: -14*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 5*z**4\/12 - z**3\/6 - z**2\/2 + 3*z. Let i be c(-1). Calculate the highest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 12. Let r be b(-5). Suppose d + 5*l - 10 = 0, 5*l = r*d - 6 - 24. Let o = 23 + -16. Calculate the least common multiple of d and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/4070*15*5\/3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176325031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = b + 2, -2*b - 3*r = -19 + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (2 - 0)) + (329 - 302)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - k + 13 = -22, 4*r - 5*k - 65 = 0. Suppose -2*t - r = -22. Let 16*s - t*s**3 - 2*s**4 - 20*s + 2*s**2 + 10*s = 0. What is s?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-6)\/(7656\/(-176))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28843, 28862, 28881, 28900, 28919, 28938?\nAnswer: 28957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/3, 2\/5, 38\/7 in descending order.\nAnswer: 38\/7, 2\/5, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 2*r - 32 = 0, 3*y + 8*r = -2*y + 3*y + 13*r - 41 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = -5*y, a - 81 = -4*a - 3*y. What is the remainder when 70 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -881, -857, -803, -707, -557, -341?\n\"Answer: 2*c**3 + 3*c**2 + c - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 225 = -0*a. Let w be (-2)\/(33\/a + (-4)\/(-10)). Suppose -f - w = -81. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 3, -3\/4 in decreasing order.\nAnswer: 3, 1, 0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*f**4*x**3 - 102*x**3 wrt f?\nAnswer: 108*f**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.08 * 9083.\nAnswer: 146054.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1035 and 805?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:16 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 5. Suppose 3*l = -2*h + 15, -5*h - 3*l = -0*l - 15. Determine k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g - 2. Let b be f(6). Put b, -4, 2 in decreasing order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o. Let d(x) = 52*x**2 - 164697. Calculate p(d(a)).\nAnswer: -364*a**2 + 1152879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361809 is divided by 1171?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14149226 is divided by 4401?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {l: 3, e: 12}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/11))**(-33))**(6\/13))**(-13) assuming o is positive.\nAnswer: o**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162030672 a multiple of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 2893?\nAnswer: 57860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51804864 divided by 179878\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -4. Let q(s) = -s**2 - 6*s + 3. Calculate the remainder when q(l) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*d - 6*d - 80, -4*v + 2*d - 130 = 0. Let t = 58 + v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17339, 17345, 17351, 17357, 17363?\nAnswer: 17369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024719527.\nAnswer: 41, 103, 716249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002021210021 - 11?\nAnswer: -1002021210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (4\/2 - 4). Let z be -6 + -2 + 5 - j. Solve 0 = z*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2117437*s**4 + 1500215 wrt s?\nAnswer: 8469748*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -15619559?\nAnswer: -10\/15619559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/(3\/18). Let r be (-237)\/27 - g\/18. Let t = -7 - r. Solve 0 = -4*b + 2 + t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*49508296\nAnswer: -4950829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -157*x**2 - 187*x + 10. Let g(a) = 785*a**2 + 935*a - 48. Let l(w) = 6*g(w) + 29*z(w). Find the second derivative of l(s) wrt s.\nAnswer: 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.2 - 13.42. What is t rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (92\/16 + 2)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/43 (b) 81 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 120\/14)\/(15\/(-10)). Let j = c + -304\/63. Find the common denominator of j and 73\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6190\/30331*(-7)\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844326750.\nAnswer: 2, 3, 5, 19, 193, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(9 + (1 - 2)). Suppose -2*k = q - 6*q + h, 5*k = 5*q - 5. Solve -u = -q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -62. Let m(o) = o**2 - 52*o + 55*o + o**2 + 0 + h. Let x be (-4 - -1)*(-2)\/(-3). Determine m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddjgddddd. What is prob of sequence jjd?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) - 40\/(-95). Let l(y) = y**3 - 4*y**2 + 3*y + 1. Let t be l(3). Is t less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14364987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 286\/(-12) - -2*(-1)\/12. Let n = 42 + c. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/30 + k**4\/24 + k**3\/6 + 5*k**2. What are the prime factors of n(3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from {s: 3, c: 1, m: 3, w: 3, l: 5}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 34. Suppose -t = f*t. Let l(w) = 3*w**3 + 2*w**2 - w. Let c be l(1). Solve 2*z - 4*z + 2 = -4*p, t = -p + c*z - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -17. Suppose z*o = 10*o - 66. Calculate the smallest common multiple of 14 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24483153.\nAnswer: 3, 19, 429529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -1\/3*s**3 + 0*s**2 + 0 - 31*s + 1\/10*s**5 + 1\/30*s**4 - 1\/75*s**6. Factor u(o).\nAnswer: -2*o*(o - 5)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*v - 250*v + 7918616 = 5*j, 1979654 = v - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 15138\nAnswer: -15137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 16, 7, 2, -2, 6 in descending order.\nAnswer: 16, 7, 6, 2, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/28 in 2.3, -4\/5, 1\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117)*-1 + ((-1*sqrt(156)*1)\/sqrt(12))**2.\nAnswer: -3*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1545 and 28325.\nAnswer: 84975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (108\/1350)\/(9\/1945). Let j = s - 152\/9. Which is the second smallest value? (a) -3\/8 (b) -0.6 (c) j (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*l + 28 = 0, -2*g + 3*g + 5*l = 29. Suppose -b = g*b. Is 13 a factor of b + -4 + 0 + 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-24 - -55 - (16 + -1)) + 42).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 5*j + 5. Let x be y(-6). Suppose 12 = 6*b - 2*b - 3*v, -5*v = -5*b + 10. Let a = x - b. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w - 16. Suppose w*i - 4*i = 48. Solve 0*r + 3*r = -i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19)*2 + 5)**2*4.\nAnswer: 240*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/3 and -49\/21774322.\nAnswer: 65322966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-13) - (-16)\/(-104). Suppose -m + 9 = -v - 68, -m = -a*v - 152. Let q be 3\/(-4) - (3 + v\/20). Solve q*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14736 = -2*t - 4*q, 5*t - 4*q - 17314 = 19568. Let x = t - 206555\/28. What is the common denominator of 47\/8 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 16 = f. Let n be ((-4)\/6)\/(4\/66). Let p = n - f. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 17*h**5 + 17*h**4 - 12*h**3 - h**2 + 6*h + 6. Let d(k) = 6*k**5 + 6*k**4 - 4*k**3 + 2*k + 2. Let p(t) = 11*d(t) - 4*n(t). Factor p(u).\nAnswer: -2*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let f = 6 + -9. Let q = 59.2 - 59. Sort u, f, q in descending order.\nAnswer: q, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/5440 + (-2)\/(-34))*8\/(-6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -299.61 * -6295.\nAnswer: 1886044.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 - 5. Let v(i) = -i**3 + 23*i**2 + 2 - 16*i**2 - 7 - 1. Suppose -33 + 0 = -3*z. Let b = 16 - z. Calculate b*g(j) - 4*v(j).\nAnswer: -j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37103325 is divided by 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*p**4 + 32*p - 67*p + 33*p + (-p**3 + 0*p**3 + 3*p**3)*(25 - 25 - 4*p).\nAnswer: 117*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4\/9 - 628*y**3\/3 - 229024*y**2\/9 - 580928*y\/3 - 3426304\/9 = 0.\nAnswer: -239, -224, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1384 and -85.\nAnswer: -117640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -776?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/56*4\/36\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4380 - 8757\/2. Let n(p) be the second derivative of 4*p + 1\/4*p**4 + 3*p**2 + 0 - w*p**3. Suppose n(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12827 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 - 21*i**3 - 39*i**2 - 19*i = 0 for i.\nAnswer: -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 16*b**2 - 4*b + 4. What is the remainder when u(-9) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 - 33788*s**3 + 123682*s.\nAnswer: 12*s**2 - 202728*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let l = -1.6 - 169.4. Let r = -173 - l. Which is the closest to r? (a) 1\/7 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 119*b**2 + 207*b + 611. Does 2 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 2.69955. Round o to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 17c94a0?\nAnswer: 17c94a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n**3 - 26*n**2 - 8*n - 2. Let c(v) = -9*v**2 + 124*v**3 - 1 + 171*v**3 - 290*v**3 - 3*v. What is 8*c(h) - 3*w(h)?\nAnswer: -2*h**3 + 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16740 is divided by 8367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1\/4*z**2 + z + 1\/8*z**4 - 5 - 1\/3*z**3. Factor j(q).\nAnswer: (q - 2)*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1602 and 1022877?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 145180462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)\/(j\/j**(1\/3)))**5\/((j*j**1)**(-47)\/((j*(j**(1\/2)\/j)\/j)\/(j**(-4)\/j))) assuming j is positive.\nAnswer: j**(589\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27328?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1101110001001 (base 2) to base 10\nAnswer: 7049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384125484 by 6.\nAnswer: -64020914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 23 = 5*q, -4*v + q - 7 = -9*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 20*x**3 - 10*x + 5. Let r(f) = 19*f**3 - 8*f + 6. Determine 4*c(j) - 5*r(j).\nAnswer: -15*j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15830*k*x**3 - 72*k*x**2 - 5174*k*x - 131*x**3 - 7*x**2 wrt x.\nAnswer: 94980*k - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by 826?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0*o**3 + 0*o**2 + 0 + 0*o**5 + 0*o**6 + 1\/2*o**7 + 13*o + o**4. What is the third derivative of s(d) wrt d?\nAnswer: 1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let b(w) be the third derivative of -w**4\/4 - 8*w**3 + 533*w**2. Determine t(b(v)).\nAnswer: 6*v + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p*z**2 - 1600*p - 48*z**2 wrt z.\nAnswer: -8*p*z - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 67*k - 71*k + 1, -3*k + 1 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30234473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8*0\/5. Solve m = 3*h + 2*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 184 (b) 0.37 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.58216 rounded to one dp?\nAnswer: -79.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863430785291 - -0.2.\nAnswer: 863430785291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 50978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301536 and 981?\nAnswer: 32867424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -230313 (base 6) to base 2\nAnswer: -100110001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m - 4. Let o be i(2). Let z(k) = -5*k**3 + 7*k**2 - 4*k. Let b(h) = -4*h**3 + 6*h**2 - 3*h - 1. Let x(t) = o*b(t) + 3*z(t). What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5 - -1) + -4 + (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*l - 42756*w + 42754*w = -10, 0 = -2*l - 4*w - 4 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1 and 3900971539.294.\nAnswer: 3900971543.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - ((3 - 3) + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 12:14 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -0.45. Which is the nearest to 2? (a) 2 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4520 (base 7) in base 15?\nAnswer: -73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:48 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(12\/(-88)) + 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urruurbb. Give prob of sequence ur.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 57*k**2 + 303*k + 3. Let c be i(-5). Solve -7*b - c = -73 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-8)\/50)\/(-1))\/(4\/10). Which is the closest to x? (a) -2\/9 (b) 1\/2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -9*y**2\/2 + 8. Let d(l) = 44 + 44 - 88 - 5*l. Give d(i(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2221324414 + -2?\nAnswer: -2221324421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/56*(-200)\/250.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006669184 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*k = 1624 - 229 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7512 - -14949\/2. Calculate the common denominator of m and -35\/353.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 82*b + 2100. Give a(-19).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7957 rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 52*k + 127. Let q be j(4). Calculate the highest common divisor of 67 and q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10083 less than -0.01?\nAnswer: -10083.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:45 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1411 - -3998. What are the prime factors of w?\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1 + 8 + -3. Let q(d) = 2*d - 21. Let y be q(h). Sort 3, y, -22.\nAnswer: -22, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -223 (b) 8 (c) 4 (d) 2 (e) -0.5 (f) -294\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - -58. Suppose 2*h = 5*h - z. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*i - 22 = 0, d + i - 2 - 4 = 0. Let x be (-5)\/(-20) - (-2)\/(-8). Suppose x*s + 5*h = -2*s + 31, d*s - 5*h - 25 = 0. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 4*j - 21. Let o be f(9). Calculate the greatest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508462261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:09 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.065 - 6.935. Let k = m - -9. Let v = -1 - -1.5. Which is the third biggest value? (a) k (b) -0.1 (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose 0 = -q*m - 5*z + 183, 5*z - 84 = -m - 13. Calculate the remainder when m is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 101 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 373 + 369. Let k(y) be the third derivative of 7*y**4\/24 + 3*y**3\/2 + 9*y**2. Let p(b) = b. Calculate l*k(m) - 5*p(m).\nAnswer: 2*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*w**2 + 2*w - 2*w + 7 + 566*w**2 - 7.\nAnswer: 1202*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 2*q + (-1 + 3 - 4)*(1 + 2*q - 1) + 0*q + 4*q - 6*q + (q - 4*q + 2*q)*(0 - 2 + 1).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034 is divided by 662?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21538 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121472, -122734, -123994, -125252, -126508, -127762?\nAnswer: -129014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i. Which is the nearest to 1? (a) i (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3483781 is divided by 3083.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3949569 and 31\/14859.\nAnswer: 501595263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 412.03 + -420. Let f = -0.03 + p. Let t = -9 - f. Which is the third smallest value? (a) t (b) -2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3 - 2. What is the smallest value in 0, g, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v + 5*p - 4, -3*v + 5 = 2*p. Suppose g - 15 = 4*q + v, -3*g - 16 = 4*q. Solve -2*i = -2*y + 1 - 5, -i + 5 = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 6:15 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64744 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -14*p + 49. Suppose -4*m - m + 250 = 0. Calculate the greatest common divisor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.42 + -2.559. Round y to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673\/297*12\/(-27)*-8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbww when four letters picked without replacement from {k: 4, b: 2, v: 3, e: 3, s: 2, w: 4}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3209*h + 4739*h - 2130*h in the form a*h + g and give a.\nAnswer: 5818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6676\/347339 - -2\/3439. What is the biggest value in 12, 2\/7, y?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/266 and -95\/18?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/43))**(-15)*(b**(-1\/4)*b*b)**(-7) assuming b is positive.\nAnswer: b**(-4567\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:44 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25464 and -3818355?\nAnswer: 3843819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d. Let w(u) be the second derivative of -u**3\/6 + 8*u. Give p(w(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, o: 10, g: 1}. What is prob of picking 1 g and 3 v?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -679687.\nAnswer: 2718748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3 - 3 + 4)*(1 - 2 - 1).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-6)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/120 + n**5\/15 + n**4\/8 + n**3\/6 - 5*n**2. Let r be p(-2). Suppose 2*j - 8465 = -r*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*g - 434 = 10*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 226.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 divided by -5232?\nAnswer: 89\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 - 5*g - 35. Calculate z(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**3 + u**2\/2 - 6*u + 43. What is the remainder when k(-2) is divided by 82\/6 - (-3)\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1476 - -7?\nAnswer: -a146a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 6 (c) -1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40841, 41136, 41431, 41726?\n\"Answer: 295*q + 40546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1327 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/7 + 11339218*c**3\/7.\nAnswer: -2*c**3*(c - 5669609)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 14590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7968)\/8)\/(48\/(-128)). Calculate the highest common divisor of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 3. Let t(m) = 2*m - 1. Let i(l) = 5*d(l) - 10*t(l). Let u(y) = -2*y + 1. What is 2*i(x) + 11*u(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -884 times 0.5?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(1 + 0 + sqrt(325)))**2.\nAnswer: -2608 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/40 + ((-117)\/52)\/3. Put p, -3\/4, -26\/7, 2\/13 in increasing order.\nAnswer: -26\/7, -3\/4, p, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9999956 - 4. Round n to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 23, 79, 161?\n\"Answer: 13*u**2 - 9*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-2)\/10*55. Let g = 46 - y. Let f = -55\/6 - g. What is the third smallest value in -3, f, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(15\/(-6)) + 15. Suppose -2*l = -n - a, -3*l - 2*l - n = -15. Suppose 2*j = l*b - 2*b + 30, -2*j - 2*b + 22 = 0. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/9)*y*y*y**(2\/9))**(31\/3))**(-23))**(-5\/13) assuming y is positive.\nAnswer: y**(110515\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29276475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u, 5*n = 5*u + 5 + 10. Let s(b) = n*b + 2*b**2 + 3 - 11*b - 8*b. Let j be s(8). Solve 7 = d + j*i, 4*d + 5*i = d + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311 - 5069. Let m = j - -5411.73. Let h = m - 1.23. Round h to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1988 - -1984. What is the smallest value in -2, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16721 = -71*l + z + 16441, 3*z + 24 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 + 51. Let o(s) = -s**2 + 20*s - 26. Let a be o(18). What is the tens digit of j\/(-5 - 5\/(a\/(-6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-31)*(-16)\/(-8). Let x = q - 213\/62. Is -5 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59949 is divided by 949.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*j - 8 - 8 + 17)*(-240 - 120 + 226) in the form b*j + d and give d.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-462.\nAnswer: 554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -407 - -456.2. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4352, 7854, 11356, 14858, 18360?\n\"Answer: 3502*q + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 2*h**2 + 2*h + 1. Let r(j) = 2*j**2 + 7*j + 9. Let u be r(-3). Suppose -c + 3 = u. What is p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12 - (-3151)\/18. Let w = -175 + k. Which is the closest to 1? (a) w (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12*w + 11 = 14*w, -3*i + 5*w - 11 = 0. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 14) to base 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-2\/19))\/p)\/p)\/p)**(10\/11)\/((p**(-2\/17)\/p*p)\/p*p)**(-4\/5) assuming p is positive.\nAnswer: p**(-32272\/17765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 46\/37 (c) 1\/8 (d) -0.13 (e) 0.1 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c. Let r(u) = u**2 - 967*u + 967*u. Give r(m(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.44347 millilitres in litres?\nAnswer: 0.04944347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43\/((-516)\/168) + 25. Solve -3*j = j + 5*x - c, 2*j - 2*x = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (600\/5)\/(-12). Let c = 3 + -2. What is the units digit of (42 + k)\/(0 + c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 1, x: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**6\/40 + x**4\/8 + 5*x**2 + 5*x. Let k(q) be the first derivative of z(q). Find the second derivative of k(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(v**2 - 79194*v + 176*v**3 + 79194*v).\nAnswer: 352*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 2. Differentiate 3*w**4 + 7*w + 0 - 7*w - y with respect to w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7911 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004043999 rounded to 7 decimal places?\nAnswer: 0.0004044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -3\/2 (b) 5 (c) 2\/3 (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62144273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qly when three letters picked without replacement from {q: 2, r: 1, y: 1, s: 1, e: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 3514 = -9*u - 3*k, u - 702 = k. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 9, q: 1, x: 3, d: 1, o: 2}. Give prob of picking 1 t and 2 o.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 960184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 2, n: 2, a: 4, h: 3, k: 3}. What is prob of picking 2 k, 1 n, and 1 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3*c**4\/4 - 2*c**3 + 12*c + 2. Let a(y) = -2*y**2 - 132*y + 267. Let m be a(-68). Is 16 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) + 7\/3. Are h and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94, -108, -122?\n\"Answer: -14*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8290.9131 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) 287 (c) -2 (d) -4 (e) -1\/6 (f) 76 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 2*k + 1. Let x be o(2). Suppose -5 - 35 = -x*m. What is the greatest common factor of m and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2253.53 + 2266. Let q = -12.2 + g. What is the third biggest value in 0.4, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 3)*(-3*w + w + 7*w) to the form u + v*w and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = -4*i, 2*i + 2*z = i + 1. Suppose -5*x - 4*q + 4739 = 0, 3*x - i*q - 4189 + 1353 = 0. Let d = x - 628. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*h**3*o*v**2 - h**3*v**2 + 95*h**3*v - 5*h**2*v**2 + 28990*h*o*v**2 wrt h?\nAnswer: -1566*o*v**2 - 6*v**2 + 570*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b27613 - -2?\nAnswer: 1b27615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Suppose -1 = -d*f + 8. Suppose 9543*m - 9478*m - 130 = 0. Solve -y + 3*y - 6 = -m*z, f*y = 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/7590 and -80\/96393.\nAnswer: 963930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -135*f - 87. Let k be g(-6). Round k to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54618 * 4.\nAnswer: 218472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, -3, -0.5 in increasing order.\nAnswer: -3, -0.5, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -2)*744\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 22.3. Let a = z - -100. Let p = a + -118. Put 1, -1, p in decreasing order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 94.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1981279268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 5*u. Let l be x(-7). Let z be 22\/4*(68\/6 - (-142)\/213). Calculate the greatest common divisor of z and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1495824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one eighths of a centimeter?\nAnswer: 63750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7663260, -15326509, -22989760, -30653013, -38316268, -45979525, -53642784?\n\"Answer: -u**2 - 7663246*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4583 + 54*n - 55*n - 2647.\nAnswer: -n - 7230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 6790*c + 1278779. Give a(-893).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2 - 2*o - 1. Let b(g) = 7*g**2 - g - 1. Let y(n) = -5*b(n) + 6*m(n). Let i be y(7). Is -1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2022\/6437 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329522 is divided by 182?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2973*t + 5933. Give w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 7261.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4668 = -4*p, -590 - 334 = f - 4*p. Let r be 2\/2 - (-3 + f). What is r rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 6*-1) + -2. Let q be 10 - (-8632)\/(-247) - -25. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 14*t**2 + 14*t - 12. Give k(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 8*x + 2 - 14*x - 45*x - 20.\nAnswer: -83*x - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*s + 5*v = 1, -v = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -320, -641, -962?\n\"Answer: -321*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19388386 to the nearest integer?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a)*(-1361 - 5974 + 804 - 164).\nAnswer: 6695*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28416 by 48.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/45 and 115\/529218.\nAnswer: 2646090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4265634 (base 7) to base 15.\nAnswer: a4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445 and 11300.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -40870 divided by -610\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6 + 14. Let u = -14 - -26. Suppose 0 = -0*s - 4*s - u. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -8. Let i = f - -4. Factor -7\/4*w**5 + 15\/2*w**4 - 25\/2*w**i + 1\/2 + 10*w**2 - 15\/4*w.\nAnswer: -(w - 1)**4*(7*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 4*l - 76, 5*o = -3*l + 229. What is the remainder when 175 is divided by o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 + 2*z**2 - 6*z**3 - 2*z**3 - z**3 wrt z?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 51. Let x(c) = -c**2 + 15*c + 16. Let l be x(z). What is the highest common factor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 21. Determine f(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqq when four letters picked without replacement from {q: 5, l: 1, g: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 - -1743\/11. What is the common denominator of 5\/2 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -515788 and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1012121244?\nAnswer: 1012121302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1480*l**3*p - 2*l**3 + 4413*l**2*p**3 - 6*l*p**3 + 13*l*p**2 + 3*p**2 + 435*p wrt l.\nAnswer: -8880*l*p - 12*l + 8826*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 580507074 a multiple of 3726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 7) + -8 - 0) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iphp when four letters picked without replacement from {i: 3, p: 16, h: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10959 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 8, -2*t + 20 = -34*b + 36*b. Solve -k = 3*z - b, -11 = 4*k - 5*z - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9226 + -18531\/2. Calculate the common denominator of d and 2\/(-4) + (-103)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/18 - 2622\/(-1242) and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -199879.\nAnswer: 19987.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqt when three letters picked without replacement from ttqqttttqqtqttqtqqtq?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 - l - 3 + (-1 + 1 + 2*l)*(3 - 4 - 1) + 3026*l + 8727699 - 8727699 - 39*l + 20*l + 13*l as m*l + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1979262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from wwlwlw.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42934074 and 39.\nAnswer: 42934113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 29. Let u = h - -17.74. Let r = u + 0.26. Is -1\/6 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2 - g - 3)*(1 - 2 - 1)*(-143*g - 75741 + 75741) to the form w*g + c*g**2 + h and give w.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152 = -144*m - 13*m - 1517 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.13 (b) 0.09 (c) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 4, 2, -4, -5.\nAnswer: -41, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 62.9. Let g = -0.057 - 7.743. Let l = g - -8. Put d, -6, l in increasing order.\nAnswer: -6, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*(-26 + 8). Suppose -3*w + 13 = 5*i, -w + 6*w - 5 = -5*i. Does 7 divide 22\/(-3)*a\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -830 divided by -4.\nAnswer: 415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 554 divided by -554\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-94)\/(-1175) + 9913911\/175 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365059 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:07 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q = 66*q, -q = 4*m - 1668. What is the greatest common divisor of m and 3197?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 86870954?\nAnswer: 86870954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkkj when four letters picked without replacement from {c: 2, j: 2, l: 3, i: 2, z: 4, k: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*v - 7 + 6 + 3*v**3 + 82*v as j*v**3 + i*v**2 + p + g*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6 + 23*s**3 - 8*s**3 - 2*s**2 to the form o + z*s**3 + v*s**2 + y*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1045622.3 + 13\nAnswer: 1045635.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-1)\/(3 - 6))\/((-44)\/(-12)))\/1. What is the closest to -3 in -1, -1\/20, -0.1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/3 (b) 4 (c) -1.1 (d) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-84) + (-2)\/3. Let r = h - -403\/84. Calculate the common denominator of (-92)\/(-80) + -4 - 3 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108835.7863 - 107681.84. Let b = o + -1154. Let d = b + 0.05663. What is d rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 71*c**3 - 2*c**2 + 3*c - 1. Let s be l(2). Suppose -3*m + 2*m = -3*d - 191, 3*m - s = 5*d. List the prime factors of m.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 2*l**3\/3 - 3*l. Let d be (2 + -1)*(-2)\/(-2). Suppose j + d = 2. Calculate b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c**3 - c**2 + 3*c + 7. Give y(-2).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/i**(2\/15))\/i*i)**(-7\/8)*(i**(-7))**20 assuming i is positive.\nAnswer: i**(-17101\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9*t + 6*t - 89 = 0, 0 = -2*r - 2*t - 186. Let a be ((-7752)\/r)\/(3\/10). Calculate the highest common factor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose c = 2*i - 12 - 12. Calculate the greatest common factor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -11 in decreasing order.\nAnswer: 11, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 183239 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 88 (c) -44.2 (d) -3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/240 - r**5\/40 + r**4\/8 + r**2. Let l(i) be the second derivative of n(i). Differentiate l(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:49 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**3 + 3*k**2 + 2. Let d(f) = 32*f**3 + 13*f**2 + 9. What is -4*d(m) + 18*p(m)?\nAnswer: 16*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4624143 - 20?\nAnswer: 4624123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Let b = 10 - x. Solve 3*k + 5*h - 2*h - 3 = 0, -9 = -k - b*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2106) + sqrt(2106) + -1*sqrt(2106)) - 2*sqrt(2106)*-2)\/(sqrt(18)\/(sqrt(63)\/sqrt(7))*6*-4).\nAnswer: -15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:39 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {o: 1, z: 2, m: 3, q: 1, p: 3, a: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aauu when four letters picked without replacement from {a: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -112. Let p be 6\/(-8) - (-54)\/h. Is 0.2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6133, -26597, -47061, -67525, -87989?\nAnswer: -108453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2*(3 + -1)\/(-4). Solve -a = -t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146162*t + 146164*t + 347*t**3 + 1 - 2.\nAnswer: 347*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7031 (base 11) to base 3\nAnswer: -110211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-181)\/4 + (-1)\/(-4). Suppose 1249 = 13*g + 3238. Let p be g\/m - (-3)\/5. Solve 4*b + d - 20 = 0, p = 5*b - d - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21625 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1845194*q**2 - 4374438*q wrt q.\nAnswer: 3690388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 6*s - 5*s + 2)*(-3*s + s + 0*s)*(3 - 3 + 1) to n*s**2 + k*s + z and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q + 1. Let v be o(1). Let m(l) = -l**2 - 8*l - 8. Let a be m(v). Solve -a*p + 2 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6 - 2?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 428 = -266. Let l = 550 - a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - (-2236)\/60. Let r = d - 37. Let h = -25 + 25.4. Which is the smallest value? (a) 4 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1102 + 994 - 7996*k**2 + 1837*k**2 wrt k?\nAnswer: -12318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727775.7l to millilitres.\nAnswer: 727775700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 617, 618?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(75\/(1725\/(-92)))*-66.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153.78 - -156. Let g = r + 0.78. Which is the nearest to 2? (a) -0.3 (b) 8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 59. Let l be c(24). Solve 2*m - l = q, 34 = 6*m - m - 3*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 - 11150*r**2 - 45*r + 100350 = 0. What is r?\nAnswer: -3, 3, 2230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 5\/16*f**4 + 0 - 1\/4*f**3 + 0*f**2 - 4*f - 9\/80*f**5. Suppose j(k) = 0. What is k?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 78. Let n be j(-19). Suppose -5*a + n*q + 1920 - 82 = 0, -1477 = -4*a - 5*q. Suppose -5*v - a = -7*v. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1429*s + 1434*s + 5*g - 50, 4*s + g - 28 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 4492*m**3 - 3742*m**3 + 9469*m**3 + m**2 - 41 + 8428*m**3.\nAnswer: 18647*m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30959124.85154 and -5?\nAnswer: 30959119.85154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1b5 (base 12) to base 2\nAnswer: -100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 514393 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 - -170. Suppose y - 6 = -5*c, 5 + 0 = 5*y. What is the smallest value in h, c, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o - o**3 + 6*o - 5*o + 21*o + 4*o + 4*o.\nAnswer: -o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987503*w**2 + 34*w**3 - 1987503*w**2.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 403? (a) -4 (b) 13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37846.74 kilograms in nanograms?\nAnswer: 37846740000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 49*i - 69 = -3*a, -97 = -5*i + a. What is the remainder when 246 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/985 + 1027\/13790. Let k(q) be the second derivative of 3\/10*q**6 + 0 - v*q**7 - 3\/4*q**4 + 0*q**2 + q**3 - 3\/20*q**5 - 10*q. Let k(f) = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 1991021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196108106*o**3 - 233783321*o**2?\nAnswer: 1176648636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002991 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 + 52*q**2\/5 - 378*q\/5 + 144.\nAnswer: -2*(q - 15)*(q - 8)*(q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312 a factor of 171791968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lryl when four letters picked without replacement from lyyylryyll.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-18)\/153*(-2)\/4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193175878 is divided by 465.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b8d6 (base 14) in base 9?\nAnswer: -4546638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 11:16 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4842 - 0.311. What is m rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -9)*(0 + 4). Let v be 7\/((-56)\/(-104)) + k. Solve -7 = m - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3425 + 1160 = 122*n - 1549 - 2406 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135, 129, 109, 69, 3, -95, -231?\n\"Answer: -z**3 - z**2 + 4*z + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -210142?\nAnswer: 210144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*q + 44*q + 126*q + (-4*q + q + 0*q)*(0 - 5 + 4) to x + u*q and give u.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*x + 27, -245*o - 1311 = 85*o + 103*o - x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -7*p**4\/12 - p**3\/6 + 190*p. Let m be 4*-2 + (2 - -1). Let g = m + 6. What is r(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 66*s**3 - 18*s**2 - 24*s + 5. Let q(u) = -265*u**3 + 75*u**2 + 100*u - 20. Determine 25*k(c) + 6*q(c).\nAnswer: 60*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10592.31 years?\nAnswer: 127107.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - y**5 - 168*y**4 + 70*y**5 + 168*y**4 - 2*y**5 + y**5 + 0*y**5 + (-y**4 - 2*y**4 + 5*y**4)*(0*y + 2*y - 3*y).\nAnswer: 66*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*9\/(-126)*-7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbhl when four letters picked without replacement from lhbgmhhhllll?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) + 10\/4. Differentiate 4 - 6 + f*q + 3 + 4 wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (288\/30)\/(114\/(-380))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 11*h**2. Let u(x) be the second derivative of -x**4\/12 - 5509*x. What is -4*u(n) + w(n)?\nAnswer: n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -25 + -1 + 21 - (-95 + 1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.88 + 3.45. What is j rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/87)\/((-2)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 15*j - 50. Let r be k(18). Let c be (4\/(-10))\/(2\/(-10)). Suppose 4*h + 4*m - 2293 - 1643 = 0, 0 = c*h + r*m - 1958. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*3*2*sqrt(5)*-4 - ((4 + sqrt(45)\/sqrt(144))*-3)**2).\nAnswer: -2381\/16 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:56 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49166397.08 rounded to the nearest one hundred thousand?\nAnswer: 49200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let g(y) = -441280*y - 26. Calculate z(g(o)).\nAnswer: -441280*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2 - (-1 - 4)) + (9 - 719). Is l < -708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -9. Suppose -w = 5*q - 49. Suppose q*u = 31 + 13. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h + 2. Give v(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12000 (base 4) to base 6\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/8 - 6\/24. Suppose b*d = -2*d. Sort 3, 2, d in ascending order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*f - 7, 2*f + 1 = 4*q - 19. Let b = 4 + f. Find the first derivative of 2 + r + b*r - r + 3*r wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -166 (c) 0.3 (d) -0.0331 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)\/((-1)\/5). Let g = -11 + 21. Solve 0 = -g*w + 5*w + x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3352 + -3346. Let g = 49 - 47. Which is the third smallest value? (a) -2 (b) 0.5 (c) g (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 15) to base 10.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1177203.5 to the nearest 10000.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 - 8408*a - 16817. Give p(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133036, 133032, 133028?\nAnswer: 133024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.2, -0.20135, -6\/13 in decreasing order.\nAnswer: -0.20135, -6\/13, -22.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n - 3*t - 123 = 86*n, -n + t + 30 = 0 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 5*v**7\/42 - 8*v**5\/15 + 40*v**2. Find the third derivative of n(i) wrt i.\nAnswer: 600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 2*j, -3*d = -2*d + 5*j - 24. Suppose 4*o = 6*h - h + 25, -h + 19 = d*o. What is the smallest common multiple of 2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*u + 10 = 0. Is -27\/2 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -68)*2\/(3 - 1). Let l = u - 54. Calculate the greatest common divisor of 60 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 46. Suppose -1 = v - 3. What is the nearest to 0 in x, 4\/5, v?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 69*x**2 + 3*x - 1. Determine t(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3\/5, 1\/2, 7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 179, 177, 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 6347*r - 6340*r - 245 = 9*l, 140 = -4*l - l + 4*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.88 or 10913?\nAnswer: 5.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750290 divided by -5.\nAnswer: -150058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4412964 and -7.2.\nAnswer: 31773340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 - 6*l + 7. Let t be a(-7). Suppose -36 = -2*n + n + 5*x, t = 3*n + 3*x - 162. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let r be w(-1). Suppose 4*s = -4*j, r*s + 3*s = j - 4. Is 6\/((-1)\/(j - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/57583 and -37\/9701.\nAnswer: 6276547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54962 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519204 and 326732?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20474037 to the nearest integer?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 9*k + 1. Let b be (16\/(-6))\/(3\/9). Let n be u(b). Let j = -3 - n. What is the nearest to -0.1 in j, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)*v*v**0)\/v**(-2\/19)*((v**(-1\/4)*v)\/v)\/(v*v**(-3))*v**(-14\/13) assuming v is positive.\nAnswer: v**(5821\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*a + 10 = 0, 4*c + 2*a + a = 36. Suppose -2*n - 2 = 2*p - c, p + 2 = 0. Suppose 11 + 1 = -4*w, 4*x - n*w = 4. Sort 5, x, -1 in decreasing order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2030848*-2.\nAnswer: -6.4061696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f - 4 = 0. Let u(q) = q**3 + q + 1. Let r(i) = 6*i**3 + 5*i**2 + 9*i + 11. Let w(b) = r(b) - 5*u(b). Let p be w(f). Solve p*c + 4 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 72*v + 736. What is u(54)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n*v**4 - 15*n*v**2 + 2210*n wrt v?\nAnswer: 20*n*v**3 - 30*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7013*x - 98185. What is z(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 10. Let l = -71 + 66. Give j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/3 + 907*k. Let q(x) = 779*x**2. Give m(q(f)).\nAnswer: 1558*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6*p**2 - 6*p**2 + p**2 + 3*p)*(p - p + 3*p**2).\nAnswer: 3*p**4 + 9*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*l**5 - 5*l**5 + 8*l**5 + (-l**3 - 3*l**3 + 2*l**3)*(2*l**2 - l**2 + 0*l**2).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from asq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29\/3 + -28\/3. Suppose -64*f - 52 = -38*f. Let k = -206 - -3916\/19. Which is the nearest to w? (a) k (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g + 5. Suppose -2*h - 60 = -5*j - 7*h, 50 = 4*j + g*h. Let c be (8\/(-10) - -4)\/(4\/130). What is the greatest common divisor of c and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69794 (base 15) to base 12.\nAnswer: -142427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let d(j) = -2. Let h(k) = -2*d(k) + 4*i(k). Let x(z) = -3*z - 3. Let p(u) = 4*h(u) + 5*x(u). Give p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i + 288 + 493 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 1 (c) 0.03 (d) 1440\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20595\/14 + -10195421\/6930. Calculate the common denominator of 137\/660 and w.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499 = 9*q + w + 439, -4*q = -4*q + q - 2*w - 13 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573 - -18.6.\nAnswer: -554.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 2 - 7\/2*l + 1\/4*l**4 - 3\/4*l**2.\nAnswer: (l - 2)*(l + 1)**2*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-29) + 26\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 15 + 24 = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**3 - p + 1. Let a = 3 - 2. Let k be j(a). Solve -2*g - k = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030487 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.9, -2\/9, 3, -23, -14135.\nAnswer: -14135, -23, -2\/9, 3, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-228)\/8*(-210)\/45. Is p <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 38*o**2 - 291*o + 2463. Is g(-91) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 12*f + 25)*(15 + f**2 - 15) + 0*f**3 + 0*f**3 - f**3.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*x - 279 = -627. Let l(i) = 8*i**2 - 31*i - 3. Determine l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 - 171. Let m = 107 - 117. Sort w, m, -4.\nAnswer: m, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((-1 - (0 - -1)) + (-77 - -76)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(300) + sqrt(300)*-6)**2.\nAnswer: -22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34717 is divided by 257.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**3 + 33*n**2 - 318*n - 72.\nAnswer: 3*(n - 3)*(n + 4)*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 + 1453.134\nAnswer: 1453.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 4311*s**4 - 17190*s**3 + 8634*s**2 + 51561*s - 38691 = 0. What is s?\nAnswer: -1433, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (6\/(-2) - -5)) + 62. Let v be (-8)\/(-20) - (-864)\/15. Let q = v + -38. Calculate the highest common divisor of q and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14904 or -14879?\nAnswer: -14879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -7 - 73. What is the common denominator of (-9)\/(4\/(z\/6)) and 88\/11 - (-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -0.17. What is z rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170) + (sqrt(170) - -3*((sqrt(170) + (sqrt(170) - sqrt(170)*-4) - sqrt(170)) + sqrt(170)))))\/(5*sqrt(50)\/(sqrt(25)\/sqrt(5))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 20, -b + 2*v + 124 = -84. Suppose 6*n = n + j + b, 5*n + j - 190 = 0. Calculate the remainder when 154 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 83. Let l(q) = -6*q - 167. Let z(f) = 2*l(f) + 5*w(f). What are the prime factors of z(15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -29, -63, -119, -203, -321?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285 + 281. Which is the nearest to -2\/5? (a) 2\/7 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11952, -11949, -11944, -11937?\nAnswer: -11928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r**2 - 20*r**2 + 23*r**2 in the form l + c*r + j*r**2 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 40, 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 + 3 - (-10 - -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 243027.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 10. Let j(m) = m + 1. Let f be 8\/(-24) + 7\/((-63)\/(-12)). What is f*h(z) + j(z)?\nAnswer: 2*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504 - 504.07. Which is the closest to 0? (a) -0.2 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 20 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f + 20. Let j = -100 - -102. Which is the nearest to j? (a) -0.3 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 4*z**2. Let a be v(-3). Let l = 76 - a. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 + -470.1. Let x = -20 + n. Let o = x - 2. Is -3\/5 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1467668392 to the nearest integer?\nAnswer: 38310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 125066\nAnswer: -4\/62533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -56. Suppose p + t*p = 526500. Suppose 14*h = 5*h - p. What is h rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 + 132. Let x(j) be the third derivative of 0 + 0*j - 1\/4*j**4 - 1\/12*j**5 - 6*j**2 - 5\/6*j**3 - 1\/120*j**w. What is x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 - 12*w - 10. Give d(9).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwwwjjjjjuwjwj. What is prob of sequence jww?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 11*g**3\/2 - 45*g**2 + 230*g - 14. Give o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*t - 4*t = 18, 5*t + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k)\/((k*k**12)\/k*k)*k**(-1\/4)\/k*k**(2\/19)*k assuming k is positive.\nAnswer: k**(-923\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 6*v = 3703. Let s be 6439\/282 - 1\/(-6). Calculate the greatest common factor of v and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19872 and 81558?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 14269.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.93 plus -3720?\nAnswer: -3311.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvqvlpvv. Give prob of sequence vz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1 + 1*(-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -457, -438, -401, -340, -249, -122?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7526 divided by 1600.\nAnswer: 3763\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 + 480*w - 61. Let o(d) = -20*d**2 - 961*d + 132. What is 13*k(u) + 6*o(u)?\nAnswer: 10*u**2 + 474*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1081\/5 + 216. Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52587 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzgg when four letters picked without replacement from zgggggzggggggzggzg.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -22 - (0 - 0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 15*s**2\/4 + 75*s\/4 - 125\/4.\nAnswer: (s - 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22755169.\nAnswer: 29, 784661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 11. Let a be v(-8). Suppose -5*j + 4*d = -30, a*j = d + 2*d + 35. Let o(q) = 8*q - 3. Is o(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6236.95 - -6470. What is k rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-28)*245\/(-700)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068818258?\nAnswer: 2, 29, 41, 47, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 21*w - 112. Suppose w*m + 1101 = 5*s, 4*s + 0*m = -5*m + 889. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 239\/4. What is the third smallest value in -0.5, g, 4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*v = 20, -4*r - 3*v + 11 + 15 = 0. Suppose -16 = -6*l + r. Solve -l*x - 4 = 0, u + 1 = -u + 3*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 25*a - 3390. What is the smallest common multiple of a and 66?\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4880819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 27 = j, -2*k + 21 = 2*j - 5*j. Suppose 28 = q + q. Calculate the smallest common multiple of k and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 12:51 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28614736, -28614738, -28614740, -28614742, -28614744?\nAnswer: -28614746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 48. Calculate the least common multiple of t and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -18 - -5 - -5 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2623*n + 2619*n = 0, -4*p - 6 = 2*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 9)*(0*m + 2 - 3 - m + (m + 2*m - m)*(-1 - 1 + 0)) + (2 - 2 + 2*m)*(-3 - 9 - 14) to the form b + g*m and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p + 1. Let n be l(-2). Let t be 1 - 6\/n - 27. Let m = -197\/7 - t. Which is the smallest value? (a) 0.3 (b) -2\/21 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131, -253, -375, -497, -619, -741?\n\"Answer: -122*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 4579, 14283, 32987, 63691, 109395?\nAnswer: 173099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 13*v + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156037*z - 312116*z + 156079*z - 29*z**3.\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 20. Let n be (0 - (-2)\/(-2))*-2. Solve 2*u - d = 5*u + o, n*u - 4*d = -14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 2*w**4 - 2*w**4 + 4*w**4 + 0*w**4 - 2*w**4 + (-2*w + 1 - 1)*(-2*w**3 + 5*w**3 - w**3) + 3074*w**4 - 2*w**3 - w + 1302*w**4 - 868*w**4.\nAnswer: 3507*w**4 - 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-186 - -2)\/8*49\/(-1).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6, -6*f + 257 = 4*l - 3*f. Let u = l + -373\/6. Let o = 9 - 8.5. Sort o, u, 3.\nAnswer: u, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1966*t**4 + 998*t**4 + 1022*t**4 + 12*t + (0*t**3 - t**3 - t**3)*(-4*t + 3*t - t) as d + r*t**4 + b*t**3 + v*t + u*t**2 and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, s: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r - 22. Let a be g(-6). What is the fourth biggest value in -3, 0.1, 1, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5553 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/37? (a) -0.2 (b) -5 (c) -2\/9 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let g(h) = 424*h + 37. Calculate y(g(v)).\nAnswer: 848*v + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8693137 (base 10) in base 11?\nAnswer: -49a8312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/53049 and -91\/36.\nAnswer: 636588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 5 - 74*w - 21 - 11 - 70*w + 135*w - 7.\nAnswer: -9*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Let y(o) be the third derivative of -o**5\/60 - o**4\/24 - 5*o**3\/6 + 2*o**2. Calculate y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 1504, 2109, 2734, 3385, 4068, 4789, 5554?\nAnswer: 6369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64909 + 129804 - 3*u - 64895.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 144 = 2*y. List the prime factors of y\/8*(-818)\/3.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o. Let j(a) be the second derivative of 0*a**2 - 1\/4*a**4 + 0*a**3 + 0 - 11*a. What is j(y(x))?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*a**2 - a**4 + 3*a**2 + 5*a**2 + 21*a**3 + 10*a**2 - 2*a to the form k*a**4 + h*a + t*a**3 + u*a**2 + o and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000489 rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8 and 35\/(-5) - 2\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:30 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927903.\nAnswer: 1927903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*w + 8*w. Let r = w + -10. Solve 0*s + r = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {z: 1, i: 2, q: 1, v: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9.2, 0.1, -1\/2, 1.7, 1\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3197, -3204, -3213, -3224, -3237?\nAnswer: -3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*a + 1858299 - 87264 = 0. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0590268 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*i**2 + 7988*i - 2666*i - 2662*i - 2660*i.\nAnswer: 116*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-96))\/((-10)\/3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*f - 16, 29*f - 27*f - 3*w = 74 - 72 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*d + 82 + 146, 2*d = -3*g - 246. Let h = -115 - g. Which is smaller: -34 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x. Let z = -33 - -38. Suppose y - 9 + 6 = -4*f, z*f - 25 = 3*y. Solve x = -f*a - 3*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442080 and 14400?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**24\/v)*(v**(-2\/29)*v)\/v)\/(v*v\/v**11)**(-3) assuming v is positive.\nAnswer: v**(-1423\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23498 by 31.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.16, -1\/7, -1\/16?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336449 is divided by 1950.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29288, -58575, -87862, -117149?\nAnswer: -146436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7518.612cm?\nAnswer: 0.07518612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -90, -13\/203 in descending order.\nAnswer: 3, -13\/203, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/45)\/(((-1996)\/140 + 14)*-14)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/12 + 5*t**3\/3 + 4*t**2. What are the prime factors of s(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.7794 millennia to months.\nAnswer: 9597352.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let j(u) = -184*u**2 + 4*u + 2. Let i(d) = -553*d**2 + 11*d + 5. Let z(p) = 4*i(p) - 11*j(p). Calculate w(z(m)).\nAnswer: 376*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 2*a**2 + 6*a + 2. What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -181*h**5\/20 + 3*h**4\/4 + 67*h. Find the third derivative of d(w) wrt w.\nAnswer: -1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1290 + 2386. List the prime factors of z.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 7d5?\nAnswer: -7d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 - 10*o + 7. What is s(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819753 is divided by 819676.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/10 - (0 - -3). Put -3, h, -2 in ascending order.\nAnswer: h, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(76) + 2*sqrt(76))*-3)\/sqrt(4)*-1.\nAnswer: -5 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g*g*g*g)**(-18)\/(g\/(g\/(g\/g**(-2))))**17)**(-1\/40) assuming g is positive.\nAnswer: g**(141\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - 6*i. Let c = -2 + -4. Let t be d(c). Let n(h) = -h**2 + 3*h. Let q be n(3). Are t and q nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*m - 1, -3*y + m = -4*m - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19877 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 21. Let w be n(-7). Suppose 39 = 6*o + w*o. Let h = 0 + 5. Solve 30 = -2*l - h*q, -l = -0*l - o*q - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4623 = 30*q + 39*q. Calculate the smallest common multiple of q and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + 5) - (0 + -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 646*d - 4.\nAnswer: 646*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9595 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 579\/7 + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*q = 153*q + 163*q - 30 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/7)*s**8\/s*s**(-4\/5)\/s**0)**(-27) assuming s is positive.\nAnswer: s**(-6669\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weae when four letters picked without replacement from qwexazez.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*o, 3*k - 5*o = -0*o + 59. Suppose 5*v = -k*v + 342. Is v less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 6. Let f(n) = n**2 - 3*n - 6 + 4*n**2 - n**3 + 3. Let i be f(3). Let x be h(i). Solve -4*l - 3*z = z - 16, -3*l + x = -2*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 11:02 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/30 - 53*r**5\/20 - 443*r**4\/12 - 375*r. Find the third derivative of u(v) wrt v.\nAnswer: 24*v - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 5 + 0 + 0 - 3 + (-1 - 2 + 1)*(-1 - 2 + 5))*(4*h - 3 + 3).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 7. Suppose -g + 2 = -2*v. Suppose -5*x + 25 = 0, 5*w = 3*w - v*x + 41. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*r - 21, -4*q + r + 5 = -10. Let m be (5 + -2)\/(q + 2). Let z = -1 - -1. Which is the nearest to z? (a) m (b) -1\/4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4154 divided by 2.\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 15*c + 23. Calculate r(8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/2))**(-9))**36*(p\/(p**2*p))\/(p**(-5)\/p)*(p**(-2\/7))**(-1\/4) assuming p is positive.\nAnswer: p**(-6747\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.92444ml?\nAnswer: 0.00592444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216406 is divided by 213.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/29 (b) 2\/45 (c) 2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddopbbobbepdbbbd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/4)*(-50)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 151, 0 in ascending order.\nAnswer: -8, 0, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5545 divided by 2304?\nAnswer: 5545\/2304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (8 - 36) + 16 + 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.2 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 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 the second smallest value? (a) 1\/5 (b) -3 (c) 2\/59 (d) -4.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2083 + 171?\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5013386.\nAnswer: 2, 7, 51157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*t - 13 = 0, -j - j + t = 1. Let d be (j - 3\/6) + (-164)\/(-8). Suppose 2*c + 1 - d = 0. Is 37\/4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (17 + 2 - (9 - 2 - 34))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 times -0.1?\nAnswer: 156.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-3*-6 - sqrt(95))\/sqrt(5) + 4.\nAnswer: 4 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183225808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-150)*42 - (58\/10 + 1). Which is the biggest value? (a) 22 (b) -10\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 3*m)*(3008*m**3 + 2566*m**3 - 5060*m**3).\nAnswer: 514*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8\/11*i + 86\/11*i**4 + 90\/11*i**2 - 8\/11 - 18\/11*i**5 - 142\/11*i**3 = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143453 (base 6) to base 4\nAnswer: 3113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001235 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*70\/(-4)*(-5168)\/(-2261)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128793, 257545, 386297, 515049, 643801, 772553?\nAnswer: 901305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 679698*a**2*i*r**2 + 2*a**2*r**2 - a**2 - 49*a + 16*i*r**2 + 60*i wrt a.\nAnswer: 1359396*i*r**2 + 4*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 18*d - 15. Let k(l) be the second derivative of l**4\/12 - l**3\/6 - 43*l. Let i(p) = j(p) + 6*k(p). Factor i(v).\nAnswer: 3*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - 1 + q - 3*q**2 + q - q + 4*q**3. Let w be s(3). Suppose 5*j = -4*c - w + 42, -3*c - 8 = -j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**2 + 1\/120*k**6 + 0*k + 1\/2*k**3 + 1\/60*k**5 + 0 - 5\/24*k**4. What is h in i(h) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from {j: 2, s: 2, y: 9}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:18 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*l = -0*l + 392, 505 = -5*p - 5*l. Let v = 144 - p. Suppose 0 = -5*m - 5*o + v + 107, -3 = 3*o. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -19. Is 205 - 0\/(d\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 - -117. Let n = p + 801. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/189)\/(10\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 89343 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {k: 1, i: 1, b: 1, s: 3, u: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/78 and 11\/(-18)*65\/(-35) + 66\/(-55).\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5 = 0, -63*m - h = -92*m + 117 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = -3*a, 6 = 5*b - 2*a - 0. Suppose -3*k - k + 72 = b. What is the remainder when 51 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + -1 + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104823 - -74423. What is k rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y + 4. Let m(o) = 147*o**2. Calculate m(j(w)).\nAnswer: 2352*w**2 - 4704*w + 2352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -310 - 336?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11042 or -10986?\nAnswer: -11042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, j: 7}. What is prob of picking 4 j?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97, -118, -91, 8, 203?\n\"Answer: 4*p**3 - 49*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -32*l**2 + 2. Let z(u) = -355*u - 355*u + 2*u**2 - 359*u + 1069*u. Determine r(z(k)).\nAnswer: -128*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Let s(m) = -5*m + 47. Calculate -4*q(g) - s(g).\nAnswer: g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3108, -5926, -8746, -11568?\n\"Answer: -h**2 - 2815*h - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*j**2 + 3371*j**2 - 1119*j**2 - 1126*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 2*q**2)*((q + q - 4*q)*(-1 + 3 - 3) - 3*q - 11*q + 2*q).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/50*(20\/42)\/(180\/(-35)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 29*u - 23*u. Is 5 a factor of ((-182)\/u)\/(5\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 6 = 24*x. Suppose -4*b - 3*p = -24, 0*p = -x*b - 5*p + 26. Solve 5*j = b*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 2, e: 1, p: 2, u: 1, f: 2}. What is prob of picking 1 d, 1 p, and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 131. What is the closest to 0.5 in f, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - v - v)*(-466 + 95 - 467 - 619)*(-7*v + 4*v + v).\nAnswer: 14570*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 - 142*u + 3221*u**2 - 1618*u**2 - 1604*u**2 to the form d*u**3 + m*u + y*u**2 + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 + -195. Let j be (-51)\/z + ((-114)\/(-24) - 4). Solve -j*l - 8 = -18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/2 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 8*v + 165. Let t be k(-9). Suppose 7*y - r + 3857 = t*y, 0 = 2*r + 6. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {f: 2, s: 2, l: 1, y: 12, k: 3}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 + 280 = -21*c. Let a = -3 - -2.8. What is the closest to c in -4, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -530236*d**3*z**2 - 7*d**3*z + 3*d**2*z - 2*d**2 - d*z**2 - 840*z**2 + z wrt d.\nAnswer: -3181416*z**2 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:06 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose -r + s + 9 - 2 = 0, -6 = -2*r - v*s. Solve 4 + 5 = r*b - 4*i, 1 = 4*b + 3*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*p + 4, -2*p + 1 = v. Which is bigger: 1\/16 or v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*g - 27 = 0, 5*g = 14 + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411389119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 - 80*c**2\/3 + 600*c.\nAnswer: 2*c*(c - 90)*(c - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5049*l - 99. Let x(f) = -202*f + 4. Calculate 4*t(m) + 99*x(m).\nAnswer: 198*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 20*l + 0*l + 0*l - 5*l + 2*l + (-3 - 2 + 3)*(-4*l + 2*l + 0*l) as t*l + z and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 5*q + 4. Let v be y(-4). Let k = -5 - v. Let h(p) = 4 - 2*p + p + 2*p. Give h(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyn when three letters picked without replacement from nikdhiny?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10218\/(0 - 3)*33\/(-66). Suppose -19*q + j = -1394. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020769 rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 27*t + 100. Let d be s(15). Calculate the highest common factor of d and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160616 + -6376?\nAnswer: 152220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/88 + 1\/8. Which is the closest to -0.2? (a) 0.2 (b) 14 (c) j (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 122657, 3, 0.1 in increasing order.\nAnswer: -2, -0.4, 0.1, 3, 122657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(59\/(-236)). Solve -5*j + 15 = 2*r, -5*r + v*j + 3*j = -20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)\/s)\/(s*s*s*s**1*s))**(1\/4)\/(s**(-3)*s**(-4)*s)**(3\/4) assuming s is positive.\nAnswer: s**(53\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 9*p = 0. Suppose -2*o - 3*o - 4*l + 36 = p, 3*o - l = 25. Let h(f) = 3*f**2 + 2*f - 14. Let m(u) = -2*u**2 - u + 9. Determine o*m(q) + 5*h(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, i: 10, t: 6}. What is prob of sequence tee?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-10))\/((-24)\/40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3 + 8. Let r = -151 - -151.5. What is the smallest value in t, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/4 - n**3\/2 - 9*n**2 - 22*n - 16 = 0. What is n?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24078907.\nAnswer: 23, 53, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*x + 6, -6*b + 5*b - x + 3 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2532496 - 34*i - 2532496.\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + -11?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134009369 and 18148?\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(3\/4)\/k))**(3\/10)\/((k*k**(1\/22)\/k*k)\/k**8))**(-9\/8) assuming k is positive.\nAnswer: k**(-5805\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 4}. Give prob of picking 3 a and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 16 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {m: 1, l: 1, o: 1, p: 3, h: 5, t: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + j = 31, 4414*x - 3*j = -4444*x + 8840*x - 297 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/4 + 7*z**3\/6 + z**2\/2 - 22*z + 1. Let y(c) = -4*c**2 - 10*c - 2. Determine -7*t(j) - 5*y(j).\nAnswer: -j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbg when three letters picked without replacement from mlbjgcgllmglgjm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*n**2 + i**4 + 136*i**3*n - i**2*n**2 - 4*i*n + 2*n**2 wrt i.\nAnswer: 48*i*n**2 + 24*i + 816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39604121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z - 103. Let b be x(15). Suppose 3*a + 3*g - 87 = 0, -5*a + 2*g + 162 = -11. Let y = a + b. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100040 rounded to the nearest 1000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 - -560. Let r be (-2)\/12*(-153)\/o. What is the smallest value in 4, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/3))**(-4\/33)*(r\/(r*r\/(r**8*r)))\/r*r\/((r*r**(-2\/25)*r)\/r*r))**(24\/7) assuming r is positive.\nAnswer: r**(118784\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121192409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n**2 + 42*n**2 - 3 - 3*n**2 - 14*n**2 - 2*n**2 to j*n**2 + z + a*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 d when four letters picked without replacement from pdppddddpkkd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 71. Determine a(-21).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((480\/35)\/(-4) - -2). Which is the third smallest value? (a) x (b) -2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**4 - 2*w**3 + 2*w**2. Let r(q) = -q**4 + 8*q**3 - 8*q**2 + 23*q + 3360. Let y(i) = 4*j(i) + r(i). Differentiate y(x) with respect to x.\nAnswer: -20*x**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5775, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1595535123.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.5 + -9. Let i = 2.6 + -2.42. Let w = c - i. What is w rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 116418340?\nAnswer: 1280601740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165989, 166058, 166127, 166196, 166265, 166334?\nAnswer: 166403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 268287 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 0*a)*(-3*a - 4*a + 5*a) - 5*a**2 + a**2 + 3*a**2 - 3*a**2 - 3*a**2 + 5*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1172 (b) -1\/4 (c) -1 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose q*y = -3*w - 10, 8 = -w - 5*y - 10. Factor w + 12*u**2 - 5*u - 4*u - 3*u**3 - 2*u**3.\nAnswer: -(u - 1)**2*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18785009 to the nearest integer?\nAnswer: 4334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 + 5142*q**2.\nAnswer: 5142*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*d = 1600, -3*z + 5*d + 151 + 1477 = 0. Suppose -13*n = -z - 218. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*v - 17 + 1, -3*v - 10 = -2*s. Let y(w) be the third derivative of w**4\/3 - 22*w**2. What is the remainder when y(s) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (768\/(-60) - 1) + (-16)\/(-20)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*y + 92*y - 29*y - 59*y - 29*y to c + n*y and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 2*d**3 + d**3)*(2 + 1 - 2) - 3*d**3 - 3*d**3 + 5*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1032112 * -0.8.\nAnswer: -825689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - b - 3. Let m be w(0). Let n(u) = -92*u + 12. Let z be n(4). Let v = z - -357. What is the closest to v in 3, m, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -407355 and 6731.\nAnswer: -400624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o + 21 = -3*z, -2*z + 1 = 3*o. Suppose -51 = o*g - 21. Let b be 1 - 1\/(2\/g). What is the greatest common divisor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + (13 - -2) + -22 + 13\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 13*k - 9. Let l be p(-12). Suppose -3*v + 9 + 0 = 0, -i + 2*v - 1 = 0. Solve -i*y + l*t = t - 8, -4*t = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/44)\/(9\/(-22))*(-7)\/(112\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**5\/20 + 7*j**4\/4 - 6*j**2 + 144*j - 25. Let r(s) be the first derivative of t(s). Differentiate r(x) with respect to x.\nAnswer: -3*x**2 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-2*z + 0*z + 4*z) + 16 - 16 + 12*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, x: 1, f: 1, i: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*g - 5*o + o, 3*g = -3*o - 12. Which is the smallest value? (a) 1\/5 (b) -234 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4144 and 135457.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(17*(-28)\/24990)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:23 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(78)*5)\/(-4*(sqrt(54) + sqrt(6)) - (sqrt(60)*2)\/sqrt(10)) + 3.\nAnswer: 3 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 11\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/30 + b**3\/3 - b**2. Differentiate w(g) with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 - 9 = 0. Suppose 0 = w + 1, 0 = 3*t - 4*t + b*w + 4. What is the second derivative of -2*a**2 - 29*a + 26*a**3 + 2*a**t + 21*a**3 wrt a?\nAnswer: 282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 138*l + 14359. What is i(-57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(308) + (sqrt(308) + 1*sqrt(308))*3 + 6*sqrt(308)*-2)\/((sqrt(1331) + (sqrt(1331)*-2 - sqrt(1331) - sqrt(1331) - sqrt(1331)))*-5).\nAnswer: -sqrt(7)\/22 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-288))\/(21\/28*16)\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 + 3110*f**3 - 480485*f**2 - 970320*f - 486720 = 0. Calculate f.\nAnswer: -1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) -83 (b) -5 (c) -1664 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h - 828 - 168 = 218*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.045 - 0.295. Let u = c + 0.05. What is the closest to 0.1 in -2, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c0134 (base 14) to base 6\nAnswer: 33225134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6695648 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + b**3 + 0*b**3 + b - 10*b**2 + 7*b**2 - b**3 in the form a*b + m*b**3 + q*b**2 + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*x**4 + 152*x**4 - 684*x**3 + 698*x**3 + 177 with respect to x.\nAnswer: 8*x**3 + 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4*x**2 - 29*k**3*x**3 + 3*x**3 + 2*x**2 wrt k.\nAnswer: 8*k**3*x**2 - 87*k**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 10 - 4. Suppose 2*o = d*o - 28. Suppose 15 = -u + 4*u. Solve 2*y + u*p = -o, -2*p + 16 = -3*y - 3*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168*h**2*v**3 + 8*h*v**3 + v**3 - 668*v + 3 wrt h.\nAnswer: -336*h*v**3 + 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -29 in ascending order.\nAnswer: -29, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 11568*o - 57740.\nAnswer: -4*(o + 5)*(o + 2887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 132 = 4*m - 38, -5*m - 5 = 0. Calculate the greatest common factor of f and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.9999946 - -7. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 32*b**2 + 68*b + 242. Calculate x(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(16) - sqrt(16)))\/(sqrt(96)\/sqrt(108) + sqrt(8)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:44 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3163 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 - -0.2. Let m = 0.11 - -0.19. Which is the smallest value? (a) m (b) t (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 11, 3\/46, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 greater than or equal to 454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/(-15)*9\/(36\/10). Let h be 20\/6 + -15 + (b - -3). What is the closest to h in -10\/9, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:44 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 13*j + 19. Let m be i(14). Let k(n) = 4*n + 2. What is the tens digit of k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 0.3 in decreasing order.\nAnswer: 4, 0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 704, 713, 724, 737, 752, 769, 788?\n\"Answer: a**2 + 6*a + 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 + g**3 - 6*g wrt g.\nAnswer: 20*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5)*-13*14\/(-182)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000375542888 to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439224?\nAnswer: 2, 179903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 5*y + 5 = 0, -4*k = -y + 4*y + 49 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(1539)*2*6 + sqrt(1539)))**2 + (4*(sqrt(1539) - (sqrt(1539) - (1 + sqrt(1539)))) + sqrt(1539) + (sqrt(1539) + 2)*-2)**2.\nAnswer: 6516126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7 + 7 - l - 8. Calculate x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 1417.\nAnswer: 297.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31844324*i**3 + 33290876*i**2 + 2 wrt i?\nAnswer: 191065944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(3 - 6) + 3. Suppose z*g = 3*g - 9. Let a(m) = -m + 2. Let p(u) = -1. Let j(q) = a(q) + 4*p(q). What is j(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let t = m - -5. Let h = t + 0. What is the nearest to 0 in h, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4811680 and 59\/1632.\nAnswer: 14435040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40392 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.422 (b) 2048 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228534488.\nAnswer: 2, 17, 963899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91907, -91908, -91907, -91904, -91899, -91892?\nAnswer: -91883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90081 and 378.\nAnswer: 3783402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Let j be 2\/h - (-232)\/170. Let v = 133\/85 - j. Which is bigger: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317 + 314. Put b, 1, -9, 3 in increasing order.\nAnswer: -9, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 293, 79, 2, -4 in descending order.\nAnswer: 293, 79, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 15, 25, 37, 51, 67, 85?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 10762 - 55232. What are the prime factors of i?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 0*w - 2*w + 3*w - 2*w**2 + 15*w**3. Let z(o) = 2*o**3 - o**2 - 2*o + 1. Calculate the remainder when z(3) is divided by t(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 4 = 0. Let m = -28 + 30. Suppose j*n - 2*c = 8, -m*c = 2*n + c + 2. Solve q = g + 3, -q + 2*q - n = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*d - 55*d + 4*d**2 - 3 + 2*d**4 - 58*d as o*d**4 + m*d + n*d**2 + z + r*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 527706727*f**3*g**2 - 6482*f*g**2 - 20*f*g - 8*f + 43 wrt f?\nAnswer: 3166240362*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 78 - 50 = 25*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51438065917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5960817477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 7*u - 6*u + 14, 3*u = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126834001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23261 - 1494. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-10))\/(42175\/1446)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048 = -g - 4*v, -3114 = 2*g - 5*g + 3*v. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2646364 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaalaaaajlaaaaaaa. Give prob of sequence ll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*m - 84*m + 197*m + 25079 = 6103 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -i + 5270 - 22527, 0 = -2*n - i + 34532. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 5*n + 21\/4.\nAnswer: -(n - 1)*(n + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1414233172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d**2 - 3*d + 39*d**2 - 21*d**3 - 3*d = 0. What is d?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -663245805 - -663245874.0000046. Let r = 68.43 - -0.57. Let c = r - l. Round c to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 4*g**2 + g**3 + g + 0*g + g + 4. What is r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20279)\/(-9145829))\/(4\/41)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.95 - 0.45. Let s = -1.97 - 0.03. What is the third smallest value in n, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88482 and 24.\nAnswer: 353928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(15600\/96) + 116\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1147*i**6\/10 + 4477*i**2\/2 - 1445*i. What is the derivative of r(h) wrt h?\nAnswer: 13764*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2854, -4834, -6922, -9118, -11422?\nAnswer: -13834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-674)\/32 - (-71)\/1136.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + a**2 + a**2)*(-5 + 5 + 5*a) - a**3 + 2*a**3 + 2*a**3 in the form s*a**2 + o*a + x + d*a**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/7)\/(5\/(-70)*-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 563.44103 + -525.4396. Let b = 38 - x. What is b rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 1833?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20378161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/5))**(-2\/39) assuming i is positive.\nAnswer: i**(-16\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12*8\/(-24))\/78*(-3)\/1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 + 1835*p + 167450. Let o(d) = 2*d**2 - d - 1. Let u(g) = -k(g) - 5*o(g). Factor u(f).\nAnswer: -5*(f + 183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -320*i - 72470. What is l(-226)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -7*x**3\/6 + 9*x. Let u(r) = 4*r. Give u(i(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 30*u - 25. Let i(r) = -2*r**2 + r + 2. What is a(y) - 4*i(y)?\nAnswer: -y**3 + y**2 - 34*y - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*q - 78*q + 360. Let y be 6 - (4\/10 + q\/50). Solve -5*b = -y*p - 20, -3*b + 3*p + 10 = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1218)\/3451 + 53088\/89726 + 4\/58?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 476 (c) 7 (d) 2\/21 (e) 1 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 41733.\nAnswer: 250398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 11 + 20 - 10*v - 9 + 24*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-6 + 20))*-12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2324 - -30201?\nAnswer: 22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1010*x**2 + 1334*x - 6. Let y(a) = -5050*a**2 - 6670*a + 28. Let u(r) = -14*n(r) - 3*y(r). What is the second derivative of u(l) wrt l?\nAnswer: 2020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4833*s**2 + 7893*s wrt s?\nAnswer: -9666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3d3cb (base 15) to base 8\nAnswer: -600010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 215 = v + 3*o, o + 205 = 2*v. Let n = v + -75. What is the second derivative of n*h - 14*h**2 - 60*h + 19*h wrt h?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 7*b**2 + 2*b - 19. Let p be w(-8). Suppose -p*c + 27*c = -24638. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/8 - -1 - (-34)\/136. What is the second derivative of -55*y**o + 9 - 7 + 74*y + y**5 - 4 + 1 wrt y?\nAnswer: 20*y**3 - 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:09 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**6\/10 - 9*c**2\/2 - 5*c. What is the derivative of s(t) wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-30)\/4)\/(-5). Suppose b*x - 4*f = 26, -5*x - 4*f = -10*x + 30. Suppose 0 = 4*s - 2*s - 5*z - 82, -3*s + x*z = -112. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5555696 and -113\/4464.\nAnswer: 50001264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/2)\/(h\/(h\/h**(-6\/19))))\/((h**(2\/47)*h)\/h)**(-29) assuming h is positive.\nAnswer: h**(-7055\/1786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9) + -31 + -3*195247\/(-19251).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125302597?\nAnswer: 7, 17, 23, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*u - 295 + 93 - 242 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -5*x**3\/3 + 5*x**2\/2 + 30*x - 2. Factor a(p).\nAnswer: -5*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s - 21. Let i(k) = -2*k + 5. Suppose -5*n + 3*g = -5 - 103, -2*n = 4*g - 38. Determine n*i(q) + 5*y(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -7, 3.\nAnswer: -7, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) + sqrt(600)*3) + sqrt(32)*-5 + -1)**2.\nAnswer: 1238*sqrt(2)\/31 + 767283\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -30, -6, 66, 204, 426?\n\"Answer: 3*s**3 - 3*s**2 - 18*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1444013243 (base 5) to base 12\nAnswer: -1378182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 14 (c) -9 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-64)\/(-48))\/(4\/3 - 2). Is 2\/2589 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**2 + 40*o**3 + 18*o**2)*((-46 + 24 - 15)*(-3 + 3 - 2*o) - 2*o + 3*o - 4*o).\nAnswer: 2840*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2315210181 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -36*h**2 + 7*h + 8. Let i(t) = 18*t**2 - 4*t - 4. Let r(o) = -4*c(o) - 7*i(o). Differentiate r(w) wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -913.036 + 911. Let c = 5 - 7. Let q = c - p. Round q to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -5*x**4\/24 - 23*x**3\/3 + 63*x**2. Let l be z(-10). Solve l*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174701 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r + 2. Let o(f) = f**2 - 21*f - 3. Let i(w) = 7*c(w) + 3*o(w). What is the remainder when i(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f - 4 = 0. Let m(u) = u + 9. Let b be m(f). Suppose -5*h - 35 = -x, h + h = -b*x + 229. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 0 + -3 + 5. Suppose c*q + 2 = 12. Solve 10 = q*w - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*(sqrt(833) + -1))*3)**2 - 1*(sqrt(2057) + 0)*-1*2.\nAnswer: -8294*sqrt(17) + 270981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/2 + 82475*p**2\/2 + 1979953*p\/2 + 1897477\/2 = 0.\nAnswer: -23, -1, 82499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -36*p - 2. Let r be t(2). Let n = -71 - r. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*x + 9976 = -1655, -7754 = -2*p + 3*x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7))**(3\/28)\/((z*z\/z**(1\/7)*z)\/(z**(-3)\/z)))\/(z**5*z*z**(-4\/9)*z*z)**(-26) assuming z is positive.\nAnswer: z**(334675\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -2, -0.22726, 0, 9\/2, -0.1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/60 + 5*d**4\/24 - d**3\/2 - 13*d**2. Calculate o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15984\/35 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5344, -10675, -16006, -21337, -26668, -31999?\nAnswer: -37330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**4 - 199*l**3 + 960*l**2 - 1321*l + 566. Let h(b) = -b**4 + 40*b**3 - 192*b**2 + 264*b - 113. Let y(r) = 2*f(r) + 11*h(r). Solve y(n) = 0.\nAnswer: 1, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617.9308 centuries to years.\nAnswer: 61793.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41775 + 41754.807. What is f rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.70718527 to three decimal places.\nAnswer: 279.707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/236251943 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-60)\/(-12)*(-6)\/45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:22 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-31)\/3*4\/(-44) and 35\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 439\/4 + -110. Sort 1, a, -14 in ascending order.\nAnswer: -14, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 2187894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1594*z**4 - 2*z**3 + 2595*z**2 + 5*z + 1698919 wrt z?\nAnswer: -19128*z**2 - 12*z + 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427.34 + 3.38.\nAnswer: 430.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23616 and 433728.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5352773 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and -1.689 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 259\/6. Let z be ((-80)\/(-44) - 2)*1. What is the nearest to -1 in 0, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2016 and 29476832.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*z**2 - 40*z**2 - 40*z**2 + 198*z**3.\nAnswer: 198*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 91040*k**3 + 57624630*k**2 - 57351520*k - 115067192 = 0. Calculate k.\nAnswer: -1, 2, 641, 44878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1000100100010111111110 (base 2) to base 8\nAnswer: 10442776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 11*c = 35. Let r = 33 - c. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 - 1765*m - 156. What is o(252)?\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 984532\nAnswer: 1\/246133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2123, -1874, -1625, -1376, -1127, -878?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - z**2 + z**2. Let l(u) = 17*u. What is s(l(m))?\nAnswer: -578*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5319, -7083, -10023, -14139?\nAnswer: -19431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 17. Is (-30)\/(u - 4\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12358552.\nAnswer: 2, 67, 23057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 649*h**2 - 651*h**2 - 636*h**2 + 1938*h**2 - 2*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58627 is divided by 917?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -6*(sqrt(114) - 1*sqrt(114)) - sqrt(114)) + (1*-2*sqrt(114) - sqrt(114)))\/((sqrt(24) + sqrt(96))\/sqrt(4) - sqrt(96)*-3).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63\/4 in -3\/7, -4\/209, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2520805*o**3 - 14504.\nAnswer: -7562415*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12917750*-0.03\nAnswer: 387532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448) + -2 + -1.\nAnswer: -8*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 41*r**2. Let j(g) be the first derivative of 3*g**2\/2 - 50. Calculate j(l(t)).\nAnswer: 123*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.7 (b) 1 (c) -1\/2 (d) 357 (e) 27 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174 - 118 - (-9 - -29)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3)\/((-36)\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -23920.\nAnswer: -23920.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -235514 (base 7) to base 9\nAnswer: -64622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345568 is divided by 348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 199\/7 (b) 0.2 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3529 - -3528. Let r = -13 + 9. Which is the closest to r? (a) 1 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*p + 658, 213*p - 5*l - 650 = 208*p. Calculate the least common multiple of 330 and p.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1248 - 1241 + 10*y + 3729 - 1240.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5184 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*q + 12, 5*p - 8 = -6*q + 8*q. What is the thousands digit of (-34)\/68*(-2588 - p*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -932, -2092, -3706, -5768, -8272, -11212?\nAnswer: -14582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2. Let k(s) = -7 + 6*s - 27*s + 12*s + 3*s. Calculate u(k(b)).\nAnswer: 180*b**2 + 420*b + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 63*y - 2078. Calculate m(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {j: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 69 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(40)\/(sqrt(128) - sqrt(2))*-5)\/(2*((sqrt(160) + sqrt(10))*5 + sqrt(10))).\nAnswer: -5*sqrt(2)\/364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 0 = -2*r - 4*y, -5*y = -3*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -720, 1424 in ascending order.\nAnswer: -720, -3, 1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*f = 0, 3*y - 5*f = 5*y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 1137, 4111, 10053, 19989?\nAnswer: 34945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(700))**2 + sqrt(343)*-2 + 5.\nAnswer: -14*sqrt(7) + 2805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9847599*c**3*j**3 + 8*c**2*j - 821*c + 4*j**3 - 9*j**2 wrt c.\nAnswer: 59085594*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.621064 hours to weeks.\nAnswer: 0.069173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1649 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-78) + 29\/(-6) + 3)\/84?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h)\/h**(2\/11)*(h\/(h\/(h\/(h\/(h*h**(-2\/7)*h))*h)))**31 assuming h is positive.\nAnswer: h**(5772\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77629.33ml in litres?\nAnswer: 77.62933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.028464 * 2\nAnswer: 0.056928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = -5*s + 23, s = 4*g - 7. Find the third derivative of -67 + 36*z**6 - 32*z**6 - 20*z**5 - 14*z**5 - z**g wrt z.\nAnswer: 480*z**3 - 2040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((x - 2*x + 0*x)*(11 - 5 + 0) + (-1 + 1 + 2*x)*(4 + 0 - 2) + 0*x + 4*x - 2*x - 33 + 33 - 10*x - x + x + x)*(-2 + 3 + 3) to w + n*x and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, -561, -555?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 225 = -167. Solve -2*r - d = -5*j, 5*j = -7*r + 3*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16353 + 0?\nAnswer: 16353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6207 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -16*q**5\/15 + 2*q**4 - q**3 + q**2\/6 + 9. Determine m, given that z(m) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453980 divided by -10.\nAnswer: -45398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15086)\/(-684) - (3 - 530\/180)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*n - 39*n + 1704. Suppose 4*c + 4*z = n, -c + 2*z + 0*z + 56 = 0. Calculate the highest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 34*q = -735. Suppose -q*t = -13*t - 1248. Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39708 divided by 9927\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190916400 and 3818328?\nAnswer: 190916400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4536974 by 2268487.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1)\/((-5)\/11))\/(42\/20370)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209194471603 plus -117?\nAnswer: -209194471720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(684))**2.\nAnswer: 12*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110102211 - 0?\nAnswer: -110102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = y. Let p be (y*1)\/((-5)\/10). Let a = p - -23. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(0 + -1)*512\/(-6). Suppose 4*f - 4*z - g = 0, z - 2*z = 3*f - 400. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 2912*z + 529984.\nAnswer: 4*(z + 364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1555, -5531, -12149, -21403, -33287, -47795?\n\"Answer: a**3 - 1327*a**2 - 2*a - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = 3*i, 2*r = -4*i + 2 - 6. Let l be ((-2)\/6)\/(5\/6 - i). Solve 2*g - 25 = 5*t, 4*t + 27 = g + l*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10048 and 1884000.\nAnswer: 3768000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5\/4, 0.4, -1\/34?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 10 = 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 - -269. Solve w + k*w = -2*g - 7, -17 = 3*w + 5*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 117208\/1263?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 4*x**2)*(2*x**3 - 2*x + 2*x) + x**5 + x**5 - 97*x**3 + 66*x**3.\nAnswer: 10*x**5 - 31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 - 4. Let w = 7280 - 7287. Which is the third smallest value? (a) 0.1 (b) w (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-18) + (-4)\/(-6). Suppose a*n = -0*n + 124. Suppose 5*s = 25, -s - s + n = q. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i = -10. Let z(l) = -l**2 + 10*l + 12. Let u be z(10). Let m be (u\/15)\/(1\/i). Do -4 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 2 u when four letters picked without replacement from {d: 2, i: 1, v: 1, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59645 - 319100751\/5350. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38646741 divided by 101.\nAnswer: -382641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -71*h**6\/360 + 26*h**3\/3 + 2*h**2 + 11*h. Let p(g) be the first derivative of n(g). Let u(m) = -2*m. What is u(p(k))?\nAnswer: 142*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*3)\/(2\/9). Suppose 48 = x - 60. What is the greatest common factor of k and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 16 = 0. Let z = -10 - v. Let x = z - 5. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126683377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q + 136. Let b(n) = 46*n - 660. Determine 2*b(l) + 11*s(l).\nAnswer: -7*l + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(-18 + 22). Let b(n) = 4 - 5 - 5 + n. Determine b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003584183707 to seven dps.\nAnswer: 0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = 3*w, -v + 3*w - 1 = -2. Suppose -4*a + 9 = 2*d - 9, 0 = v*a - d - 3. Solve a*p = 5*q - 8, -q + 6 = 2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 + 4338 = -484*h - 2024 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 + 26 - k**3 + k - 52 + (-5*k + 14*k - 12*k)*(-3*k**2 - 3*k + 3*k).\nAnswer: 8*k**3 + k + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -281*g + 1. Let z be x(-1). Suppose -32 = 3*u + v - z, -3*u + v = -254. What is the highest common divisor of 224 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29693 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*25\/(-45))\/((-125)\/60).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.003 + -1.483. Let p = 1.38 + o. Let r(d) = -2*d**2 + 1. Let s be r(-1). Which is the nearest to s? (a) -1 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88130363 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/7, 0.2, -0.0496, 1\/2, 3.\nAnswer: -0.0496, 0.2, 2\/7, 1\/2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/1)\/(6\/(-4)*(-4)\/(-12))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -6*f - 28. Which is the closest to 2\/7? (a) -1\/4 (b) -5 (c) 0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 + 19*c**2 - 7*c**2 - 3*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 606367627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/103, -563?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20243134 (base 6) in base 7?\nAnswer: -4640536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 11*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/7963 + 428187\/437965. Let t = -29\/36 - -581\/900. What is the common denominator of p and t?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*f - 39, 98*a - 5 = 103*a - 2*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 64, 117, 182, 259?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {z: 5, b: 9, n: 3, m: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 8, -28, 1.\nAnswer: -28, -1\/3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(10 + (-249)\/27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - -4562.5.\nAnswer: 4563.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 754, 1381, 1946, 2455, 2914?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/9215 and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {l: 1, f: 1, z: 9, h: 8}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 2490141385494.\nAnswer: 2490141385494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237071?\nAnswer: 237071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8*q**2 - 8*q - 15. Let d be a(10). Let m = -99 + d. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3657526, 3657515, 3657508, 3657505?\n\"Answer: 2*n**2 - 17*n + 3657541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 21*i + 24. Let t be w(22). Solve -z - 9 = -t*d + d, 0 = -2*d + z + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1283 = h - 2762, 0 = 2*w - 2*h - 762. Solve -381*t = -w*t - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 1 - 2. Let m be (-4)\/(-8) + 99\/6. Suppose -m = -3*p + 43. Solve 7*z - p = x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 767 = 281. Calculate the remainder when 47 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*f + 1. Let t = 4 - f. Let m(w) = 3*w**2 - t*w**2 + 3*w**2 - 1 + 0*w**2. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13135600?\nAnswer: 2, 5, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y - 3. Calculate i(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144856 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.79717 months in years?\nAnswer: 10.2330975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422281?\nAnswer: 41, 156641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -109 times -518\nAnswer: 56462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.554605*-11.\nAnswer: -6.100655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + x - 2. Suppose -m - 2*m = 6. Let i be w(m). What is the remainder when -2 + i - 1 - -1 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e60 - -122?\nAnswer: -5d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 103 = -z, 4*w = 3*z - 0*w - 257. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 18. Let k be w(-14). Let n be (7 + -2)\/(k\/(-8)). List the prime factors of (-1120)\/(-100) + (4\/n)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose -4*o + 4 = -2*m - 2, d*o - 2*m = 6. Suppose -3*z + o = 5*w + 3, 0 = -3*w + 2*z + 2. Solve -5*g - 4*h = 6, -2*h = g - w*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -86*r - 1. Let p be k(-2). Suppose 2*d + 3*b - p = 0, -3*d - d - 2*b = -346. Suppose -5*u + d = -2*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -3 + (5 + 15 - -6 - (-6 + 20))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(605)*5 - sqrt(605))*3*-3 + 3.\nAnswer: 3 + 1980*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-35)\/(-14)*(330\/160)\/(-11)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e877 (base 15) to base 12.\nAnswer: -98411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-4))\/((-3)\/(-12)). Let m(v) be the third derivative of v**2 + 0 + 1\/15*v**i + 0*v**4 + 0*v - 1\/12*v**6 + 0*v**3. Determine y so that m(y) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-14) + ((-480)\/(-84) - 6). Suppose -3*l + n*y - 5062 = -7*l, l - 1275 = 4*y. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277 - -222. Let k = g - -54.9999375. Round k to 6 decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2973.3264 or 1\/4?\nAnswer: 2973.3264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -27. Let s = d - -14. Let i = -8 - s. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(700)*2.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 96 + 48. Suppose -12*m = -86 + 14. Let p = g + m. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 4:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54 + 1\/(1 - 2). Suppose 4*p = -2*g + 88, -3*p + z = 3*g - 13. Suppose 0 = -17*b + 12*b + 550. What is the greatest common factor of b and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:06 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209951.3000025 + -209948.4. Let c = 1.585 + 1.315. Let q = c - m. Round q to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 71*u + 36. What is the remainder when q(-11) is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from buccuujjcuujbuuuuj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = c - 19, c = -c - 5*o + 40. Let x = 45 - c. What is the remainder when x is divided by (4\/6)\/((-2)\/(-33))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13535 and 5414.\nAnswer: 27070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 + (3 - 2). Let z be 4\/p*4\/2. Let t be 32\/(-6)*(-9)\/3. What is the greatest common factor of z and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065092287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13214 is divided by 115?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -137*z**2 - 3*z + 2. Give u(2).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5572120 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6)*-1 + 2. Let q = 1.52 + -1.1. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 32 = -h - 50, -h + 9 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.749224 rounded to 2 dps?\nAnswer: -14.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*r + 358*r + 366*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 59, 89, 123?\n\"Answer: 2*l**2 + 20*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2821300 to the nearest 10000.\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i + 113. Let j be h(33). Find the common denominator of j\/60 - ((-248)\/(-24) - 11) and -21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76016880 and 6?\nAnswer: 76016880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -9.6832.\nAnswer: -4.8416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-10)*(-79)\/(-948)*-2*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.5 - -2.5. Let h = v - 25. Sort -0.1, h, -2\/17 in ascending order.\nAnswer: -2\/17, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00413838 rounded to 5 decimal places?\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20732334 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68) - (sqrt(17) + sqrt(17) + (sqrt(136) - 2*sqrt(136))\/sqrt(8))) + (sqrt(119)*2*-6)\/sqrt(7).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3255614*d*u**2 - 594*d*u + 23*d - 2*u + 6 wrt u.\nAnswer: -6511228*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 84*c + 134. Determine i(-19).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10904 and 77\/2?\nAnswer: 10904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k - 734 + 362 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33352 - -2040521?\nAnswer: 2114313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + (0 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103\/6 - -58\/3. Let y(i) be the second derivative of 1\/15*i**6 + 3\/5*i**5 - 10*i + o*i**4 + 0 + 4*i**3 + 4*i**2. Factor y(d).\nAnswer: 2*(d + 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 4*s**2 - 3*s + 2. Let h be j(3). Suppose 0 = -u + 3 + h. Suppose 3*g - 4*g = 2*b - 39, -70 = -u*b + 3*g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -908\/3 + 303. Sort 1, -1, -3\/11, t in decreasing order.\nAnswer: 1, t, -3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1815*p**2 - 3621*p**2 + 1822*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 97550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2*q**2 - 22987 + 68938 + 100*q**3 - 22977 - 22974.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 20*l - 753 = 3*f - 10*l, -f = 4*l - 152 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 452 = 704 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c + 19*c + 51 + 59 - 162 + 51.\nAnswer: 60*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -81*3\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/28 and 67\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51400577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4888817.69 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + ((sqrt(520) - -2*sqrt(520)*1)\/sqrt(10) + 4 + (sqrt(364)*-3)\/sqrt(7))*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -14. Suppose -m - m = 2, t*y - 2*m = -1638. What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 35*f**2 + 41*f - 86. Calculate the remainder when b(34) is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14635 is divided by 7301.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o, 5*p - o = 4*o + 5. Suppose -3*q = -5*b + q + 17, p*b = q + 6. Solve 7 - b = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1597130, -3194264, -4791398, -6388532, -7985666, -9582800?\n\"Answer: -1597134*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*p = -2, 3*p = s + 7*p - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 88. Calculate the remainder when 46 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 34*u - 145. What are the prime factors of v(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(-4)*(-32)\/432*54.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 8. Suppose 26 = 4*m - o. Solve m = 4*w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215740 divided by -161.\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) - 80\/(-2). Suppose -26*j = 125*j - 14345. What is the highest common factor of a and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-179)\/(-7) + (-48)\/(-112). Let c = 4 + m. What is the highest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -31376\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -508a (base 13) to base 6.\nAnswer: -123215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1597, 1590, 1567, 1522, 1449, 1342, 1195, 1002?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 - b**4\/6 + 2*b. Determine m, given that f(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/77550 and 91\/726?\nAnswer: 853050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -109450007 != -109450011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(171)*-4)\/(1*sqrt(900) + sqrt(225)*-5).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let l(v) = -13*v + 1. Let y be l(q). Suppose -2*a + 11 = -5. What is the highest common divisor of a and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/3 + -113\/21. Which is the nearest to z? (a) -1\/3 (b) -3\/5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 52. Suppose -3 - 5 = -o*q. Find the second derivative of -38*s**2 - s**5 + 24*s + 11*s**5 + 38*s**q wrt s.\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 130, 4 in decreasing order.\nAnswer: 130, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n = 301 + 260 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3) + (-2)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 200. Let y = 5 + -1. Solve -y*b = l + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636 - -644 - (1 + -2 - 8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from yyyvvyvyyvyvvyvyyvv?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 79 + 216 = 0. Suppose 57*a = t*a - 56. What is the greatest common factor of 126 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l + 5. Let v be k(-7). Suppose 5*h - 5*d - 20 = 0, -h + 3 + 9 = -5*d. Suppose v - 177 = -h*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 935?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -468 - -505. Suppose -39696 = 13*p - o*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13104 is divided by 1479?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225938 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*h**3 - 446723*h**2 + 3*h + 446723*h**2.\nAnswer: -635*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30217783\/12589395 + 26\/8421. Let v = -1\/299 + j. Does 2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58024*i**3*l**3 + 4*i**3*l*w**2 - i**3*w**2 + 2*i**2*l**3*w**2 + 3*i**2*l**2 + 2*l**2 wrt l.\nAnswer: -348144*i**3 + 12*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 141750, 134401, 127052, 119703?\n\"Answer: -7349*v + 149099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.206 - 17.2.\nAnswer: -17.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15736203*j + 41547803*j + 1 - 1.\nAnswer: 57284006*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176\/255 + -2\/85. Let t be (-170)\/51 - 2*-2. Solve -n*b**2 + 4\/3*b - t = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 52, 11.38?\nAnswer: 11.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001610458192 to seven dps.\nAnswer: -0.0016105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) - (-10)\/3. Let o be (((-5163)\/(-9))\/(-1))\/f. Let q = o + 191. Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*j = 239*j + 132. Solve -3*z + 34 = 5*o, z + 3*o = 8*o - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*30\/4. Let a = 6 - n. Suppose 0*q + 15 = -3*q. Put q, a, 3 in descending order.\nAnswer: 3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(3 - (-48)\/(-14)). Suppose x*v + v + 4 = 0, 5*b - 82 = -3*v. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.4621815 to 3 dps.\nAnswer: -45.462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*k + 2*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(136)*3)\/sqrt(8)) + 2*sqrt(17)*-3 - (-2*(0 + sqrt(2057) + 1 - sqrt(2057)))**2.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 10:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 13*m = -3*k + 599, 3*m + 585 = 3*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19862 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4254 + 5?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*r**5\/7 + 244560*r**4 - 2732101032*r**3\/7 + 1460539606592*r**2\/7 - 8519996112384*r\/7 - 871531204608\/7 = 0 for r.\nAnswer: -18\/179, 6, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 10*m**2 - 2*m - 57. Let r be g(9). Solve -3*j + r = 0, -5 = -3*k - j - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.28 (b) 2 (c) 0.3 (d) -0.2 (e) -7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 2*d - 9*v + 4, 0 = 5*v - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = -2*v. Suppose 0 = -3*n + v, 3*n + 8 = -3*c + 29. Solve -3*m + l + c = 15, 2*m - 8 = -4*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*d - 100*d - 3*d**3 - 15*d**3.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -0.1 (c) -0.3 (d) -0.01 (e) 1\/4 (f) -0.87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/72*12\/3. Let y = -4 - -4.2. Let r = -0.4 + y. Which is the second biggest value? (a) u (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 479317 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8046 is divided by 8019.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 143\/22 + (-3)\/2. Let d be -5 + u + (-8)\/(-2). Suppose 0*k - d*k = -1708. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6, 17.8, 3\/7, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 123\/4. Let j = 237\/4 + -60. Let l be (-10)\/7 - (-2 - -1). What is the closest to -1\/4 in l, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1355*v + 8059. What is r(-6)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08458 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1 - (-27)\/26). Suppose 0 = 4*g - 2 - l. Suppose 6*v = g*v - 47. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 213494, 427783, 642072, 856361, 1070650, 1284939?\n\"Answer: 214289*d - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(2 + 1 - 6)*(-4 + 0 + 1)*(-6*a + 0*a + 4*a)*(4 - 4 - 2*a**2).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*p + 113. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917635262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034678 to six dps.\nAnswer: 0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62375660 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 355 + -352. Let m = 1 - -3. Solve -5*h = -l*h + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 8739687.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2211*y + 294064. What is t(133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/3 + 44\/(-33). Which is the third biggest value? (a) -3 (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96658783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 1, p: 2, o: 4}. What is prob of picking 1 n, 1 i, and 2 p?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 8088659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*o - 101*o = 29508. What are the prime factors of o?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14*s**2 + 8*s + 114. What are the prime factors of o(-10)?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -9.7.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3564188 = 3564187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4216588 is divided by 14641?\nAnswer: 14621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 9 - 1*-4. Solve 1 = n*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 47 = -3*m, -2*a - 3*a + 4*m = -46. Suppose a = q - 4. What is the greatest common divisor of q and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 - 216. Let u(d) = -d + 3. Let n be u(0). Solve -2 = 2*s + 4*g - 10, z = g - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*v**2 + 21*v**2 + 2*v + 39*v**2 - v.\nAnswer: -20*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. What is the second derivative of -y**f + y - 10 + 10 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25916081*a. Let s(h) = -31*h**2. Calculate s(f(k)).\nAnswer: -20820940886355391*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 78, 132, 196, 270, 354, 448?\n\"Answer: 5*m**2 + 29*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -594*y - 8249. Give t(-14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7587695 and 721055.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41911, 41876, 41825, 41758, 41675, 41576?\nAnswer: 41461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3172 and -146559435.\nAnswer: -146556263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061*-73.\nAnswer: 4.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 51*l + 4*n - 14 = 0, 5 = 2*l - 5*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 3*z + 6. What is x(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41870, -41992, -42114, -42236, -42358, -42480?\nAnswer: -42602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84680 - -40?\nAnswer: 846c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/60899573 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 216795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/102235 and 56\/17075.\nAnswer: 349132525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*n + 8, -129*n + 125*n = 5*r + 1. Let y = -141 - -280. Suppose r*u - 410 = -2*o, 2*u + 3*o - y = u. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 + (-32 - -33). Solve -q*c - 34 = -5*b - 6*c, 2*c - 6 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) 597 (b) 1 (c) -700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 7, n: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 751907816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*v + 260 = 0, 2*a - 151 + 21 = 3*v. What is the remainder when 237 is divided by a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.098203788 - -1.\nAnswer: -0.098203788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1910910386592818 + 0.1\nAnswer: 1910910386592818.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by 51?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 + 187 - (0 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42735948943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 8230.\nAnswer: 65840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 + v - 2. Suppose -5*m - 5 = -2*h, 7*h - 2*h - 23 = 2*m. Let g be x(m). Suppose -g*j = -77 - 7. Solve j = -3*k + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(2112)*2)*3)\/(-6*sqrt(12)\/sqrt(4) + sqrt(3)*1*-1).\nAnswer: 45*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*o + 4, -5*v + 10 = o - 0*o. Solve 0 = 5*l - 15, -3*l + v*l = 3*r + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 648\/96 - 7 - 1798\/(-5832) and -143\/1620.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 79 = -53. Let y be (-8 - 2)\/(4\/(-48)). Calculate the remainder when (24\/5)\/(9\/y) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.06? (a) -2\/3 (b) 2 (c) -0.24 (d) -0.2 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -24*c**2 - 26*c + 6. Let j(b) = 5*b**2 + 5*b - 1. Let n(x) = -14*j(x) - 3*m(x). Let u be n(-6). Let v = u - 12. Is 2 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2751*h**4 - 29*h**3 - 127*h + 17106852 wrt h?\nAnswer: -11004*h**3 - 87*h**2 - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-41)*(i\/(i\/(i\/i**(-1\/5))))\/(i*i**3) assuming i is positive.\nAnswer: i**(396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 1, n: 3}. Give prob of sequence qnq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 325c (base 14) to base 9\nAnswer: 12843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004901 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2139843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -6 - 14*-1. Let d = -10 + q. Solve -2 = -g - d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.062 + 0.238. Put -0.05, 1, t, 1\/7 in descending order.\nAnswer: 1, t, 1\/7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17401 - -19386. What is the remainder when j is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2459 + -2447. Calculate the remainder when 93 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 39 = 6*x. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*f + 35, -3 = -2*l + 5*f - 133. Let d = -51 - l. Solve -4*v + 20 = -3*n + 4*n, -4*n - d = -5*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2294)\/(-111))\/((-10)\/(-135)*-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -10101?\nAnswer: 10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12*b**3 + 51*b**2 - 13*b + 8. Calculate the remainder when 460 is divided by x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((sqrt(792) + (1*sqrt(792) - sqrt(792) - sqrt(792)) + sqrt(792) - sqrt(22)) + sqrt(88)\/(sqrt(4) + sqrt(4) + sqrt(64)))\/(2*sqrt(8)*2).\nAnswer: 31*sqrt(11)\/48 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 5508.\nAnswer: 7\/5508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2 - 225*p - 28. Let k be d(-28). Let t(j) be the third derivative of k - 1\/24*j**4 + 0*j**3 + 8*j**2 + 0*j. Let g(i) = 12*i**2. Give t(g(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 10949574\/45 - 210\/(-1575) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 28*r - 8*r - 10*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2604 + -636a1?\nAnswer: -661a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285278 by -41.\nAnswer: -6958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -34. Suppose 8*q - 5*q = -z. Calculate the remainder when q*(-5)\/15 - -35 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -1\/16, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7 - 5*b**2 + 0*b**2 - 2*b + 6*b**2. What is the units digit of n(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2651*b + 9*b**2 + 138*b - 2269*b.\nAnswer: 9*b**2 - 4782*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/15*-3 - -4. Solve n = -5*h + 4*w, 0 = -4*w + 2*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 1378 (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/3 - 104*p\/3 + 595 = 0.\nAnswer: -119, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1095*l*m*w**2 + 2*l*m*w + l*m - 48*l*w - 4*w**2 - 10 wrt m.\nAnswer: 1095*l*w**2 + 2*l*w + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x + 4*x**3 + x**3 - 14*x + 9*x - 11*x.\nAnswer: 5*x**3 - 52*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 199, -2, 59, 14.\nAnswer: -2, 14, 59, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1499 - -3.8501. Which is the nearest to 0.1? (a) -1 (b) 0.2 (c) -1.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3094\/(-151164) - (-2)\/36?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*t - 8, -26*n + 28*n + 4*t = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 4. Suppose -38 = -17*k - 4. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*t = -43 - 18, -5*t + 145 = 5*z. Suppose -b - 5*q + z = -4*q, -88 = -4*b + 4*q. What is the greatest common divisor of b and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 7 = 3*p, 8*s = -4*p + 9*s - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*z + 3 - 5, -4*z + 2*i = 0. Suppose -z*r = f + r, 0 = f + 2*r. Factor -2\/9*d - 2\/9*d**2 + f.\nAnswer: -2*d*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 510*k**2 - 1980*k - 1960.\nAnswer: -5*(k + 2)**2*(k + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -65889 not equal to -66000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/((-37630)\/(-10863))*10\/6?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2. Let f be k(1). Let m(w) = w - 3. Let a be m(f). Solve -a*c = 4 - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n + 92*n**3 + 10 - 178*n**3 + 87*n**3 - 6*n**2. Let g = 39 - 34. Let l be x(g). Solve q - 8 + l = -3*a, a - 4 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*g + 1932 + 968 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5536 divided by 32.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, g: 3}. Give prob of picking 2 y.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310131963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3004144 + 330022?\nAnswer: -2124122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(sqrt(304) - sqrt(19) - sqrt(19))**2 + sqrt(19) + ((sqrt(1216) - 2*sqrt(1216))**2 - sqrt(19)) + sqrt(19).\nAnswer: sqrt(19) + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-66)\/(-18))*(-18)\/25. Which is the third smallest value? (a) l (b) -0.4 (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-8))\/((-2)\/8). Suppose 2*c - c - 7 = 0. Let g = y + c. Which is bigger: g or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -139*i - 1. Let g(u) = -135*u - 1. Give 4*g(a) - 5*p(a).\nAnswer: 155*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/(-35816)*-74*8*(-12)\/(-152).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j = -20225 + 2982. Let m = j - -413. Calculate the greatest common factor of m and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5839*z + 40860. Give c(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + 41 - (1 + -2)) + (3 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -42. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 + 700. Let a = 693 - u. Let c = a + -206.0000097. Round c to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + o = 4*o - 16, 0 = -s - 2*o + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 151 in 5\/3, 4, 1\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15645 + 2490 = 5*x. Let f = x - 6627. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 + 8*w. What are the prime factors of f(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 - 5139*z**3\/4 - 2569*z**2\/2.\nAnswer: -z**2*(z + 1)*(z + 5138)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -47. Let k be 1\/(-2)*2 - 156\/f. Suppose -k = 8*c - 10*c. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8529972 - 8529972 - 2347660*z + 2347661*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1041 - 407. List the prime factors of t.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 629 divide 1251721951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u - 48. Give o(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 53. Let l be h(-11). Suppose -3*t = -15, t = -l*p + 663 + 592. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 - w + 4. Let a be x(0). Suppose 0*s - 24 = a*s. Let f be s\/7*42\/(-12). Solve 0 = -f*m - 5 - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 - 11*a - 53. Let s be i(-5). Solve -20 = 4*z - s*z - 2*t, -t = -3*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*l + 9. Let v = 91 - 44. Let y = -27 + v. Calculate the greatest common factor of l and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74011682.\nAnswer: 2, 199, 185959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 64 = -2*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 61*r + 316. What is the tens digit of p(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -87.0000672. What is d rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -91276, -91283, -91300, -91333, -91388, -91471, -91588?\n\"Answer: -t**3 + t**2 - 3*t - 91273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-10)*-4)\/(1\/(-20)). Let g = 132 - 47. Let j = g + -60. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 129 + 27 = -4*y, 0 = 5*y - 5*j + 265. Which is the closest to -0.1? (a) 2\/3 (b) y (c) -1 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/307, -1, 7, -6, -3 in decreasing order.\nAnswer: 7, -4\/307, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 200. Which is smaller: 34 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*10\/(-18)*-9. What is the greatest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19685 - 19684.8778. What is the smallest value in 0, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -109811?\nAnswer: -109807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 205, 323, 379, 343, 185, -125, -617?\n\"Answer: -5*u**3 - u**2 + 156*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdvrrdgdrdr. Give prob of sequence rrg.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -542 - -636. Suppose -z*q + 103*q = 0. Solve q = 2*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61229*k*u**3 - 3441*u**3 wrt k.\nAnswer: -61229*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016901, 2033786, 3050681, 4067592, 5084525, 6101486, 7118481, 8135516?\nAnswer: 9152597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = c + 5. Let g = 399 - 398. What are the prime factors of ((-15)\/c)\/(g\/(-9))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066056074 to five dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 42*s = -37*s - 5276, 4*a - 21028 = -s. Does 72 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1637c (base 16) to base 10.\nAnswer: -91004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from frrffff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 3377. Let j(v) = -v**2 + 62. Calculate g(j(c)).\nAnswer: -5*c**2 + 3687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -20*w - 7. Suppose 0 = 3*l + k + 19, 5*l = 6*l + 4*k - 1. Let f(a) = -10*a + 7. Let r(q) = q - 3. Let d(j) = -f(j) - 3*r(j). Give l*d(b) - 2*p(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 2 (c) -1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -2, 1, 13, -1.\nAnswer: -2, -1, 1, 13, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -314?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 f when four letters picked without replacement from {o: 3, p: 5, c: 2, n: 2, s: 7, f: 1}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -156*n**3 - 9*n**2 + 9*n - 9. Let q(b) = 39*b**3 + 2*b**2 - 2*b + 2. What is -2*m(a) - 9*q(a)?\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + ((-12)\/(-4) - -1). Let q(m) = -3*m**2 + 0*m**2 + 7*m**2 - 2*m**y. Let h(j) = 4*j**2. Calculate q(h(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:28 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.032.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.077 and -0.77.\nAnswer: 0.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -381, 309, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.136 (b) 0 (c) 0.4 (d) -443 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - m + 4)*(-m**2 - m**2 + 0*m**2) - 96*m**2 - 85*m**2 + 176*m**2 + 46*m**3.\nAnswer: 48*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2458991.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 290640*h**2 + 5280347412*h + 31671622296.\nAnswer: 4*(h + 6)*(h + 36327)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/200 + 3*m**5\/50 + 11*m**4\/40 + 3*m**3\/5 - 2*m**2 + 1. Factor f(o).\nAnswer: 3*(o + 1)*(o + 2)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 45 + 25*f + 15*f.\nAnswer: 40*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/30 + w**4\/24 + 2*w**2. Suppose -2*c - 5*q - 13 = 0, -5*c + 14 = 5*q - 8*q. Give n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 - 28*n - 94. Determine a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*g + 1854*g - 151*g**2 - 452*g - 505*g - 451*g - 384*g**2.\nAnswer: -535*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2500 = 5*a + 5*i, -21*a + 3*i + 1470 = -18*a. Calculate the least common multiple of 36 and a.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(770\/62 + 0). Let g = 2\/27 - 29\/1485. Let v = g + n. Which is the nearest to 0? (a) -1 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44057.04 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1*sqrt(1573))**2 + -3 - ((sqrt(1573) - (sqrt(1573) - (-2 + -2*sqrt(1573) + sqrt(1573))))**2 + sqrt(1573))))*2.\nAnswer: -110*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 307205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 2*u + 2. Let c be q(-5). Let l = c + 96. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q = 21*q - 23*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-8)*(-16)\/(-12). Find the second derivative of -a + 4*a**2 - 7*a + 15*a**l - 7*a**2 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 29*v = -170. Solve 30*i - v*i + 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 32 (c) -153 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 3796039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*(-4)\/20 - (-54)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**32\/(y\/(y\/(y**(2\/5)*y)*y*y))**(-32) assuming y is positive.\nAnswer: y**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 1 - (-172)\/36. Let h be (-1*(-60)\/(-100))\/((-9)\/(-6)). Which is the smallest value? (a) h (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12331 is divided by 87?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 3906 = 13*q. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y - 3. Let t(i) = -i**2 - 4. Let s(b) = -6*n(b) + 5*t(b). Let d be s(-7). Let c(p) = 4*p - 6*p - p - 2*p + p**2. Give c(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*t**2 - 21*t - 339 wrt t.\nAnswer: -12*t - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74582.58ml?\nAnswer: 74.58258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*m = 45, -i - 307322*m = -307327*m + 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 3\/8 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, 0.4, -0.4, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 4, a: 1, i: 1, n: 6}. What is prob of sequence anm?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39318205 to the power of 1\/2, to the nearest integer?\nAnswer: 6270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 197594936 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f**1\/f))\/f*f*f)\/f*f*f*f)**(-13\/4))**(-41)*(f**(-1))**(-1\/35)*((f*f\/f**1*f)\/f)**(15\/4) assuming f is positive.\nAnswer: f**(23451\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 97500016 = -4*c, 64831395 + 13168601 = -4*y + c. What is y rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23267423.46269564 - 23267424. Let r = 0.8173048 + m. Let h = r - 0.28. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*t - 5*t - 4)*(3*t - 4*t + 3*t).\nAnswer: -10*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1781627 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 4, z: 4, g: 3, j: 4, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/44 and (-1269)\/(-86480) - (-1)\/5?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/55 + (-323)\/3553?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 14*z + 69304. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -60.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1821.91 * -0.4\nAnswer: 728.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 133 + 98 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212 = -4*r + 344. Let o(q) = 4*q**2 + 5*q - 240. Let j be o(8). Let p = j + r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(32) - (sqrt(192)\/sqrt(6) + 2)) - (-5*sqrt(384)*2)\/sqrt(12).\nAnswer: -1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 + 6*x**6 + 0*x**6 + 0*x**6 - 7*x**2 wrt x.\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*h = -120*h - 155 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/(-735))\/(1\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 71 - (-227 + 222 - ((-2 - 13) + -1)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.529 kilograms to tonnes.\nAnswer: 0.970529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (170\/(-25))\/(2 + 64\/(-30)). What is the third derivative of 195*r**5 - 9*r + 9*r - 190*r**5 + w*r**2 - 5*r**4 wrt r?\nAnswer: 300*r**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 - (5 + -4)) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - 12 - (-1 + 6 - 4) - (-10 - -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185646 divided by 3.\nAnswer: -61882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.037 + 59.037. Let r = z + -59.12. What is the smallest value in -1, r, 0.2, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - g**2 - 4*g**2)*(3 - 3 + 2*g**3)*(17 - 5 + 15).\nAnswer: -54*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/26 - ((-55)\/(-20))\/11 and 57\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -120. Let v = -431 + 9053\/21. What is the second biggest value in g, v, -0.3, 2\/97?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 1176931*y**2\/4 - 11769235*y\/4 + 29423025\/4.\nAnswer: -(y - 1176921)*(y - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*b - 48, -3*v - 39 = -0*v - 3*b. Sort v, 4, -3 in descending order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -697, -1528, -2631, -3970, -5509, -7212, -9043?\nAnswer: -10966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6443000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**6\/180 - f**5\/20 - 5*f**4\/24 - 5*f**3\/6 + 9*f. Let r(k) be the second derivative of d(k). Is r(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4600 - -10?\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + r**2)*(-r - 3*r + 2*r) + (2 - 2 + 4)*(4 + 3 - 4)*(4*r - r**3 - 4*r))*(4 - r - 4) as w + a*r + s*r**4 + h*r**2 + z*r**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + x - 3*x)*(6*x - 2*x - 5*x) + 24 + 75*x**2 - 24 to d + y*x + m*x**2 and give m.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778132184 to the nearest integer?\nAnswer: 52708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 - 3*o - 5. Let z be c(-10). Let y = 744 - z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3*(-22 + 24). Solve -9 = -c + 3*x, -2*c - 8*x = -4*x + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129760 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 11*t + 10. Give j(9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-58275)\/(-189) + (-6)\/(-9) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 73*z**3 - z**2 + z. Let k(d) = -72*d**3 + d**2 - d. Let i(t) = 4*k(t) + 5*n(t). Is i(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2267599.36205 - -2268852.2. Let q = w - 1252.735750519. Let b = q + -0.1022. What is b rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-1 - -2))*2. Suppose 0 = s*n - 3*w - 19, -4*w - 27 = -3*n - 1. Is 22*(4 - n)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -765*h - 21381. Determine q(-28).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61890 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 4 + 4)*(-389*p + 380*p + 252*p) + 0*p**2 - 2*p**2 + p**2 to the form s*p + j*p**2 + r and give j.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100011100101 (base 2) to base 13.\nAnswer: 12c4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16897, 33866, 50837, 67810, 84785, 101762, 118741?\nAnswer: 135722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2420 - -3773. Suppose 0 = 15*o - l - 3837. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13 + 21 - 7 - 252*l**3.\nAnswer: -252*l**3 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6) + (-8)\/(-12). Suppose b*h - 4*y - 31 - 5 = 0, -4*h + 3*y = -33. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 1 + 1)*(-g - 3*g + 2*g)*(-1 + 3 - 4) + (2*g**2 - 2*g**2 - 4*g**3)*(12*g - 16*g - 8*g).\nAnswer: 52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 10, -1266?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-1))\/(12 - 14). Let q = -23 - -84. Let a = m + q. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2012210?\nAnswer: 2012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t. Suppose -2*q = -4*m - 38, 4*q = -18*m + 15*m - 1. Let r be u(m). Calculate the highest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7903337 - 7903337 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 3*n - 23. What is f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/24 + i**3\/6 - 2*i\/3 + 5. Let w(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 159?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 1208*k**3 - 197098*k**2 - 4343092*k.\nAnswer: -2*k*(k + 26)*(k + 289)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 5*f + 5. Let a be y(-4). Let n = a + 26. Solve 2*s + n = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 10*s**3 - 8*s**2 - 6*s.\nAnswer: 2*s*(s - 1)*(s + 3)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -230*t**2 + t - 1264. Let p(s) = 233*s**2 - s + 1266. Let w(l) = 3*p(l) + 4*z(l). Differentiate w(y) with respect to y.\nAnswer: -442*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375378137?\nAnswer: 375378137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l**2 - l + 1. Let t(a) = -25*a**3 - 3*a**2 - 17*a - 3. Let n(o) = -t(o) - 3*w(o). Find the second derivative of n(j) wrt j.\nAnswer: 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.46 + 57. Let o = -0.04 + z. Let b = -0.5 + 0.4. Sort o, b, 0.5.\nAnswer: o, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345448 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320154 and 6990029?\nAnswer: 41940174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, -2472, 12, 1 in decreasing order.\nAnswer: 12, 1, -127, -2472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -20.87. Let r = 5.13 + p. What is the closest to 2\/5 in r, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.01886 to two dps.\nAnswer: 23.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -185*u + 2901. Let w be o(15). What is the greatest common divisor of 648 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-20)*-3 + -1)*20. Let y be p + 4 + 6 + (2 - 2). Is 449 - 20\/(y - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x**2 - x - 9. Let v be k(-7). Let t be (-4)\/(-6)*(4 + v). Suppose 10 = 3*n - 8*n. Which is the third biggest value? (a) t (b) -4\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*((-8)\/32)\/((-1)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**4\/12 + j**3\/2 + j**2\/2 + 3*j. Let n be w(-2). Solve -4*r = -7*r - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 3. Let d = 579 - 574. Determine k(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1876 = -9*v. Let q = -59 + v. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 25933904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 + 6*f. Suppose -11 + 7 = k. Let z = k - -10. List the prime factors of b(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = b + u - 15, -2*b = -5*u + 14. Solve -d + b = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05525 minus -16246605?\nAnswer: 16246603.94475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 1\/4*v**5 - 38*v + 0 - 25\/4*v**4 + 35\/3*v**3 + 0*v**2. Factor u(z).\nAnswer: 5*z*(z - 14)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649695 is divided by 3456.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - 110*c + 371. What is the remainder when 2 + -1 + (468 - -3) is divided by o(4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(475) + 1)*-1 + sqrt(475) - sqrt(475)) + -1)**2*6.\nAnswer: 720*sqrt(19) + 17244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222 (base 3) to base 10.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1631 - -1631.3. Sort 2, -2\/45, t, -0.4.\nAnswer: -0.4, -2\/45, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.73 (b) 0.1 (c) 5 (d) -1\/3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*q + 2 - 21*q + 22*q - 2 - 3*q**2.\nAnswer: -3*q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by ((-240)\/(-42))\/((-1)\/(-7))*2.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -12) + (-20 - (-23 - -14) - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Give s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3953164, 7906333, 11859502?\n\"Answer: 3953169*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -16.31 (c) 9.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u. Let z(x) be the third derivative of 47*x**4\/24 + 69*x**2. Determine z(f(l)).\nAnswer: -141*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -811*c - 106214. What is d(-131)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335935.5 days to nanoseconds.\nAnswer: 29024827200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167 - 158. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**(2\/7)*(k**(-7)\/k*k)\/(k\/k**(1\/12)) assuming k is positive.\nAnswer: k**(-4607\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, i: 5, v: 3}. What is prob of sequence lvv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 14. Suppose 0 = 2*i - 0*i - 6. What is the highest common factor of i and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66678)\/(-10) - (-168)\/(-210). Suppose 14*s - 19891 = g. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 48 (c) -2 (d) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227.22932259 - -3396.46979519. Let j = a + -3108.24046. Let x = j - 61. Round x to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 34*i + 3559. Let l be k(79). Suppose -8 = 4*u - 5*f, 2*f = 5*u - 6 - 1. Solve -u*s - l*b = 24, 2*s - 4*b = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13751198, -13751199, -13751200?\n\"Answer: -f - 13751197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 5 = -4*o. Suppose -6*c + o*c = 150. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 49*d**2 - 8*d. Let s(c) = -16*c**2 + 3*c. Let f(i) = 8*s(i) + 3*t(i). Let l(o) = o. Determine f(l(u)).\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -372, -406, -462, -546?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 916 divide 266831367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.6136094 rounded to two dps?\nAnswer: 781.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 1. Let f(u) = -5*u. Give -3*f(t) - 4*m(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 45705?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -20. Suppose 0 = 3*q - o*q - 42. What are the prime factors of (48\/(-9))\/(q\/45)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r + 3*r. Differentiate 5*d**r + 26*d**2 + d**4 - 2 - 26*d**2 wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 6060393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 37, 4, -2, 0, -1770 in decreasing order.\nAnswer: 37, 4, 3, 2, 0, -2, -1770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.329 * 2.712\nAnswer: -3.604248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 35?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = 16. Put m, -2, 1 in decreasing order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92527*n**3 + 185054*n**3 - 92526*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488 + -95. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(36)\/(sqrt(48)\/sqrt(4)) - sqrt(1920)\/sqrt(10)) + -1)**2.\nAnswer: 14*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 562146?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*o - 140 - 12. Let g = -4\/27 - -10\/27. What is the second smallest value in g, o, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.81938 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 63. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -8)\/(1 + 2\/(-4)). What is the common denominator of i\/(-1488)*1150\/(-5) and -23\/2?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 10*m - 9 = 0. Let p(k) = 6*k**2 - 2*k + 1. Let z be p(1). Suppose -5*a - 34 = -d - 0*d, z*a + d = -26. What is the nearest to m in -0.3, -4, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.1 - 39.5. Let g = y - -0.2. Let p = -3.9 - -4. Which is the smallest value? (a) p (b) 4\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 27 = -7. Let d(f) = 5 - 8*f + 3*f + n*f - 3. Is 10 a factor of d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 46, -2, 26653?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.3. Let y(w) = 25*w**3 - 2*w**2 - 2*w - 1. Let b be y(-1). Let l be (4\/10)\/(b\/(-10)). What is the second smallest value in l, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t*z**3 - 3*t - 712*z**3 + 38 wrt z?\nAnswer: -3*t*z**2 - 2136*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1252732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r = -65*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**3 - 5*o**2 - 6*o + 6. Let n(c) = 7*c**3 - 4*c**2 - 5*c + 5. Determine -6*n(s) + 5*x(s).\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, h: 2, i: 1, x: 2, f: 2}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3200) + (sqrt(3200) - 5*sqrt(3200)*3)))\/((sqrt(360) - (sqrt(360) + (sqrt(360) + sqrt(360)*-4)*1))*-3).\nAnswer: 52*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.279 years in months?\nAnswer: 4647.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54967620.\nAnswer: 2, 3, 5, 916127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -30632, -1 in decreasing order.\nAnswer: -1, -2, -4, -30632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxxxxbxeebhxxxxbe. Give prob of sequence bxe.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.2. Let x = -618 - -619. Which is the third smallest value? (a) x (b) 4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5, -2*y = 10*t - 13*t + 4226. Calculate the greatest common divisor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from jdodzebe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:00 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5074610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*i + 29. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -12*d + 24. What is the common denominator of -13\/11 and d + (-1)\/274*-2186?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(1900) - (-2*sqrt(190))\/sqrt(10)*-6)**2.\nAnswer: 176*sqrt(19) + 9212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321303023 (base 4) in base 14?\nAnswer: -cdb51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*4\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = -7*y - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-109 - -100)*(42\/(-36) - 1\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -8 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4319.59 or -1\/4?\nAnswer: -4319.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-9)\/27*-1*12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16534250.5 to the nearest 100000.\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:40 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -153222352 (base 7) in base 15?\nAnswer: -d7e584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 123 = 4*a, 69*h = 66*h - 2*a + 69 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/108*-9*(-6)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 + 2*d**2 + 5*d**2 + 13 - 13.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + p. Let y be t(-1). Solve -a + 2 + 3 = y*g, 4*g - 15 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24480085 or -24480091?\nAnswer: -24480091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 20*x - 9. Let t be i(19). Does 57 divide 2\/t + (11592\/40 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4447, -3, 31\/67?\nAnswer: -4447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 4, m: 2, w: 1, c: 7, u: 1}. What is prob of sequence bl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4675441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*-2*(-38)\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1795651844 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 1390 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + 0*p)*(1629*p + 688*p + 4208*p - 1626*p).\nAnswer: 4899*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 14*t + 58. Suppose 166*y = -226 - 438. Calculate i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.389, 2\/3, -20812?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.6979mm in kilometers?\nAnswer: 0.0006346979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1042 + -11448\/11. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (4 + -2))*3. Suppose -6 = 5*g + 2*q, -m*g + q - 6 = 3*q. Suppose -r + 73 = j, 5*r + 55 = -g*j + j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3367 = u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1118*k - 22930. Give p(-20).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -30, -18, 0 in descending order.\nAnswer: 1, 0, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12811, 12932, 12993, 12964, 12815, 12516, 12037, 11348?\n\"Answer: -5*a**3 + 156*a + 12660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t - 4 = 2*o, -3*t = -9. Sort -1\/6, -3\/5, o.\nAnswer: o, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -33. Solve j = s - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 5890\/30)\/(-3) + 1\/9?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 3, d: 1, m: 7, w: 2, z: 5}. What is prob of sequence kz?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110212 + -10333010?\nAnswer: -10222132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32397616, 32397615, 32397614?\n\"Answer: -q + 32397617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 1\/4*d**4 + 0*d**2 - 27*d - 157\/10*d**5 + 4\/3*d**3. Find the third derivative of j(i) wrt i.\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 4*d + 8*j + 8, j = -3*d + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p + 90 = -92*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 5*b**2 + 11*b + 10. Let s be ((624\/40)\/13)\/(4\/(-10)). Calculate the remainder when 243 is divided by m(s).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 20*k - 19. Let n be d(11). Suppose -3*z - 3703 = -6*z - 4*b, -b = -n*z + 3728. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238241 is divided by 76995.\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {i: 4, m: 4, u: 1, v: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0 (c) -3.1 (d) 0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**4 - 7*r**3 + 8*r**4 + 4*r + 6*r**4 + 8*r**3 to i*r**4 + j*r**3 + w*r**2 + c*r + p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-2 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3 + (-2 - 1 + 2)*(3 + 0 - 4))*(-3 + 6*x + 3*x - 10*x)*(-50*x - 38*x - 1503*x**2 + 1509*x**2) in the form a*x**2 + j*x**3 + i + r*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - 2*a**2 + a**3 + a**2 + 8*a**3 in the form q*a**2 + b + w*a**3 + p*a and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 111*i**2 + 9*i + 10. Let z be n(-6). Suppose -2*f + 5*l + 1997 = 0, f = 5*f + 4*l - z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o - 4. Let m(i) = 22*i + 10. Let u(d) = -2*d - 1. Let q(t) = -t**3 + 7*t**2 - t - 3. Let z be q(7). Let l(a) = z*u(a) - m(a). Calculate k(l(c)).\nAnswer: -20*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 96132*z**3 - 4*z**2 + 115*z - 231. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h - 604 + 47 = 83 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c - 4. Let z(w) = 15*w - 7. Let h(j) = -11*j. Let x be h(-1). Give x*r(b) - 6*z(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 16237536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {x: 1, d: 1, f: 1, a: 1, l: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2. Let d = -7 + 4. Let c be -15*(4\/d - -1). Let s(l) = -5*l - l**2 + c*l. Determine f(s(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-118 - -117) + 30\/26. Let s = 2126137\/3784970 - -114\/2723. Let g = s + -1\/278. Which is the smallest value? (a) m (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -100*m + 98*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/1672*(18\/12)\/(195\/(-104))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*b + 5*l, -8 = 5*l + 7. Let m = b - -11. Suppose 0*r - 3*r + 4*y - 510004 = m, -4*r = -5*y + 680005. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -166 + -422?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23540303?\nAnswer: 23540303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -633*o - 28848. Calculate h(-37).\nAnswer: -5427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 114 = 2*q + q, -2*q - 119 = -3*g. What is the smallest common multiple of -2*-5*(-2)\/(-1) and 24\/10*130\/g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/20*(-2 + 1). Suppose 4 = -13*w + 1 + 3. Put u, w, -2\/5 in decreasing order.\nAnswer: w, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -39 + (-9 - -89)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 148, 218, 288, 358, 428?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634153 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(720) - (sqrt(720) + -1)*-3) + -2)**2 + 3.\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478588737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**3 + 2*z**2 - 12*z - 1. Let l(w) = 3*w**3 - w**2 + 4*w. Let j(n) = 4*h(n) + 11*l(n). Let q be j(4). Let g = q + 7. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10987596 - -3?\nAnswer: 10987599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 2, f: 1, h: 1, j: 4, l: 5}. Give prob of sequence jfp.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-28) + 16\/7. Let a be (-3 - -1)*u\/(-6). Let z = -0.2 + 0.2. What is the smallest value in z, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 13 - (6 - 45 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*b + 38*b - 10864. Is 97 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x**2 - 6*x. Let c be o(-3). Suppose 6 = 2*f, 4*d - 3 = -2*f - c. Let p(a) = -5*a**3 + 3*a**2 - 2*a + 5. List the prime factors of p(d).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from xmmyemxxxxxx.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/515 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(1\/36). Suppose h - 4 = -5*p. Let j = p - -8. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 - 40 - (-15 - -3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200020 and 3040.\nAnswer: 30403040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 40*a**3 + 559*a**2 + 512*a**2 - 1071*a**2.\nAnswer: -34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 1420?\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11672 - -17849. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 2. Suppose -4*a - j = -2. What is the remainder when 53 is divided by (-1 + 2)\/(a\/(-14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - r + r**3 + 13*r**3 - 25*r**3 + 2*r to l + f*r**3 + a*r**2 + g*r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3670411.\nAnswer: 293, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -1\/25, 333?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cunqunqbudquqqq. What is prob of sequence nb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or 27?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 - (-3 - (-5 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -3\/2, -1\/3 in increasing order.\nAnswer: -3\/2, -1\/3, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88334\/7 + 12743. Let k = 124 - f. Let c = -21 - -5. What is the nearest to -1 in k, c, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*o - 61302 = 28254 + 3342. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and 520?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1216) + -1)*2 + 1).\nAnswer: -48*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:16 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*q*q)\/q**1*(q*q*q**4)\/(q*q*q**4\/q) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -181, -366, -551, -736, -921, -1106?\n\"Answer: -185*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 89.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100 - -11.8.\nAnswer: 111.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -84, -10670, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*(-8)\/(576\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*24\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/(-2)*(7612\/77 + 4). Calculate the common denominator of 310\/(-4)*(-8)\/w and 43\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - a = -4*a - 7, 3*u - a = 1. Let g be (-33)\/(-12) - u\/4. Let j be 3 + -1 - 3\/(-3). Solve i - j*i + 2*k = 6, k = -g*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 3*d**4 + 20 + 7*d - 10*d + 12*d**2 + 13*d**2 + 8*d**2 to g*d**2 + l + h*d**4 + n*d**3 + z*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4 - 324880*m**3 + 2274119*m**2 - 2598968*m - 5197968 = 0. Calculate m.\nAnswer: -1, 4, 324873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18019000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p - 633*p**2 - 512*p**2 + 1219*p**2 + 3 + (2*p + p - 5*p)*(-3*p + p + p) + p**2 + 3*p**2 - 3*p**2 as y*p + v*p**2 + t and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 197*g**3 + 7 - 7 + 24*g**3 - 61*g**2.\nAnswer: -173*g**3 - 61*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 - 5 = -2*s, 4*s - 24 = -3*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*r - 16 = 0, 4*a = -0*r - 2*r + 8. Suppose 25 = 5*f, -3*x + 3*f = -0*f + 9. Solve -8 = -x*v - a*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 0 + (-60)\/(-10). Suppose -k*v - 5*c = v + 34, -4*v = 2*c + 22. Is v at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + 6)\/(1 - 0). Let p = a + 11. Suppose 3*j - 5*h = 20, 5*j + p*h - 56 = -0*j. What is the remainder when 19 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q + 3. Solve 4*l - 2*a - 1 = 13, 2 = -q*l + 4*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 38*k + 40*k - 81*k - 18. Let i be d(-16). Let l be 6\/(18\/i + 7\/5). Solve 0*g - 16 = l*g + 4*x, -g - 5*x = 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18388998?\nAnswer: 2, 3, 19, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from tzhjhtllzhjhhttzhatt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjjy. Give prob of sequence yjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5536? (a) -2 (b) 2\/5 (c) -2811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 22, 5 in ascending order.\nAnswer: -5, 1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743 a factor of 935729550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1108086038 - 2.\nAnswer: -1.8891913962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-1350)\/(-2835)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by 1.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8060742.\nAnswer: 2, 3, 113, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -152, -149, -144, -137?\n\"Answer: k**2 - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 13*l - 2. Calculate the remainder when 36 is divided by s(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 - -244.000018. Round d to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 327. Let f(g) = g - 163. Let v(p) = -5*f(p) + 2*i(p). Suppose -k - 4 = 2*k - 2*z, 4*k - 2*z + 4 = 0. Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17*42\/(-16065))\/(6\/(-10))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 6*v. Suppose 5*d = 4*k + 943, v = 2*d + 3*k - 168 - 200. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2346245 (base 8) to base 14.\nAnswer: 12a085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {e: 3, z: 2, l: 10, r: 1, y: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64, -57, -36, 5, 72, 171, 308, 489?\n\"Answer: a**3 + a**2 - 3*a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, l: 2, o: 11}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5)\/(-5))\/((-11)\/(-10351))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165730402012970 take away 0.5?\nAnswer: -165730402012970.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.3634 - 29781.3634. Let r = -29772.5954 - l. Let s = r + -2.4. Round s to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 18276, -3, 0.2, -0.1082, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 2*p + 13. What is x(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 9*g - 4*g. Suppose -575 = -g*l + 1411. Suppose 8*w = 10*w - l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 32. Suppose -2*o = 3*l - 42, 99 - 36 = 4*l + 5*o. What is g(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/(sqrt(20) + sqrt(5)))\/(5*sqrt(90)))**2 - (4 + sqrt(3645) + -5)**2.\nAnswer: -1476629\/405 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) -3\/2 (d) -3\/277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144781920?\nAnswer: 2, 3, 5, 29, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/22 - 442\/374. Let n(x) = x - 1. Let b(l) = 7*l - 4. What is o*b(g) + 6*n(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70\/(-8))\/((-90)\/(-120))*-3. Suppose 7*d - 217 = h. Calculate the remainder when 753 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 - -307. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3\/2*k**3 - 11*k**2 + 17*k + 0. Find the first derivative of f(r) wrt r.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/5 - 517104*l\/5 + 24816384\/5 = 0.\nAnswer: 48, 258504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 23*l. Let o(n) = -n**2 + 21*n. Calculate o(b(k)).\nAnswer: -529*k**2 + 483*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:03 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*x**6 - 65*x**3 - 4207*x**2 + 3*x wrt x.\nAnswer: 21720*x**3 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481854595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - ((18 - 2) + (7 - 8) + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 14) in base 8?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/7 - 1112*r**4\/7 + 28058*r**3 + 61321688*r**2\/7 + 3940684905*r\/7 + 70943911200\/7 = 0.\nAnswer: -73, -32, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*9\/(-23 + 14).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -7*f**4\/6 + f. Let r(k) be the first derivative of -2*k**3\/3 + 815. Determine r(b(u)).\nAnswer: -392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101311 (base 4) in base 5?\nAnswer: -131422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4837 - 0?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - -3) + (-15 - -1) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 40 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-54)\/12) - (-112)\/35. Let c(d) be the first derivative of 0*d**2 - h*d**5 - 8*d + 9 + 0*d**3 + 0*d**4. Differentiate c(s) with respect to s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262926*l**3 - 945449.\nAnswer: 788778*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4472 + -31307\/7. What is the smallest value in s, -17, 0.5, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 99*n - 102.\nAnswer: 3*(n - 1)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44625, -39560, -34495, -29430?\nAnswer: -24365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23569 and 616642?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/204 and 29\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 1448247876?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16079051 to the power of 1\/2, to the nearest integer?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.9343858 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Suppose -3*c - 21 = -3*q - g*q, -2*q - c = -2. Suppose -q*o = -3*r - r - 22, -2*r - 2 = 0. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 256*t**3 - 198*t**3 - 15 - 369*t**3.\nAnswer: -311*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 165, 147, 129?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u + 25367 + 47745 = 0. What is the greatest common factor of 104 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 - 3 = 0. Calculate the lowest common multiple of 596\/28 + 3 + 8\/(-28) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/163 + 7398\/4075. What is the common denominator of l and -71\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - p - 28 - 9 = 0, -99 = -3*b - p. Suppose 7*o - 26 = 2. Suppose o*k - f - 29 = b, -2*k + 34 = 2*f. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n**2 + 154*n - 59. Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1093307 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.27 + 12.7. Let c = -0.57 - r. Sort -12, c, -0.1, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10*h + 632 = 8*h, -2*h = m + 128. Let p(z) = 9*z. Let g(f) = -280*f. Give m*p(d) - 4*g(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28.1? (a) 1.1 (b) 0.74 (c) -0.2 (d) 1 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270992.\nAnswer: 2, 3, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8787 = o + 2*o, 43923 = 5*g - 3*o. Suppose -4*v - 12*v - g = 0. Round v to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627949 to the power of 1\/2, to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 e when three letters picked without replacement from {o: 1, g: 1, c: 1, e: 4, m: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 1 + 1 + (3*a**4 + 0*a**4 - 5*a**4)*(0 + 0 + a) - 51*a**5 + 17*a**5 + 16*a**5 + (-4*a + 6*a - 3*a)*(3*a**4 + 2*a**4 - 6*a**4).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-10)*18\/42*(-85)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1388850 (base 9) to base 15\nAnswer: -102686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 7*i + 5. Let q be a(6). Let t(r) = -16*r**2 + r + 1. What is t(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 25*q - 151. Let l be n(12). What is the third smallest value in l, 11, 1\/2, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (15 + -16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z\/(z**5*z*z))\/z)**(-5\/2)\/((z*z**(-3\/5))\/z)**(-5\/7))**(-40) assuming z is positive.\nAnswer: z**(-2680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(46\/(-12)))\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -0.01 (c) 1\/6 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 26*u + 28*u + 6643, -2*o = 4*u - 4434. Let w = o + -1335. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/8)\/((-2)\/(-40)). Suppose 39 = -m*l + 124. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2326 - -2241. What is the closest to 0.1 in 7, -0.4, -1, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) -1\/3 (b) -0.4 (c) -1.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0 + 0*z + 0*z**4 + z**2 + 0*z**3 - 1\/60*z**5. Let u(s) be the second derivative of s**3\/6 + s. Determine u(j(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99182, -198430, -297682, -396938, -496198, -595462, -694730?\nAnswer: -794002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49609, 99208, 148805, 198400?\n\"Answer: -i**2 + 49602*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = r - 4*r + n, 4*n = 0. Let v = r + 127. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -951421 or -951474?\nAnswer: -951421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 62 = u, 3630*n + 3836 = 3949*n + 4*u for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*u - 890, 4*h + 3*u = 140 + 574. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8235 - -0.0365. Let r = l - -0.14. Which is the biggest value? (a) -3 (b) -0.07 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10479 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 426097*z. Let t(u) = -2*u. What is w(t(b))?\nAnswer: -852194*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:25 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6674 - -6664. Which is the biggest value? (a) 0.3 (b) 4 (c) j (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 + 7 + d**2 - 7*d**2 + d**3 + 9*d. Is x(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 63*j. Let o(g) = -7*g**2. Calculate o(u(c)).\nAnswer: -27783*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {l: 10, b: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, f: 3, b: 4}. What is prob of sequence ffdf?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**5\/30 - 7*a**4\/12 + 9*a**2\/2 + 12. Let u(n) be the second derivative of s(n). What is the second derivative of u(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020794 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 16. Give r(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 + 5*r - 6. Let n be b(-6). Let l = 1 + n. Calculate the lowest common multiple of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 13 - 8) + 0 + (7 - -15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 12*f**2 + 12*f**2 + 1217*f.\nAnswer: f**2 + 1217*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20518*c**2 + c - 611 wrt c.\nAnswer: 41036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*m + 59 = 0, -3*j + 3*m = -17 - 25. Let b = 9 - j. Calculate the common denominator of -55\/36 and (b - (12 + 3))\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13 + 20 - l - 4*l - l**2. Suppose 2*u - 4 = 0, -r + 4 + 1 = 5*u. Let j be h(r). Let g(x) = x**3 - 6*x**2 - 7*x - 6. Calculate g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1 + sqrt(91))*5*-2)\/(-2*sqrt(448)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 919259 + 919259.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*i**4 - 692*i**3 - 15568*i**2 - 61348*i = 0. Calculate i.\nAnswer: -7, 0, 313\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-7 + -4)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133 and -0.18?\nAnswer: 133.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 9) to base 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 369*j + 134*j - 65*j.\nAnswer: 449*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115418 is divided by 489.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.99 - -0.01. Let o = y + -3.9. What is the closest to -2 in -0.4, -0.1, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1367056647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-696))\/((-1035)\/(-138))?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 + 1 - 2*a**2 + a**3 - a**3. Let f(v) = 3*v - 19. Let w be f(8). Suppose 5*t = -0*t - w. Determine g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 - 4)*(-19 + 30). Let o = -116 + j. What is the greatest common factor of o and 360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 620. Let f(j) = -3*j - 10*j**2 - 1 - 25*j - 2*j**2 + 9*j**2. Let h be f(-8). What is the greatest common factor of h and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-14) - (276\/(-42) - -4). Let h be (w + -4 - -2)*(-15)\/5. Let n(l) = l + 3. Let x(j) = -2*j - 6. Let g(t) = -5*n(t) - 3*x(t). Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 2*d**2 - 2*d + 9. Let o be t(4). What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(320) + -2) + (-1 + sqrt(320) + -5 - sqrt(320)))**2 - 5*(-2 + sqrt(320))*3) + -5.\nAnswer: -696*sqrt(5) + 11581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7345 = 22*n - 751. Calculate the lowest common multiple of 304 and n.\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 329367.3 months?\nAnswer: 27.447275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40778180 and 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*g = -184, 11*a - 10*a + g - 40 = 0. What is the greatest common divisor of 4826 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/94 and 7\/376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let b = -3.74 + 5.8. Let y = 0.06 - b. Does s = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 9295.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = 3*c - 5, m = c - 9. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3544 - 144?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 3 (b) 0.08 (c) 18.6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 313 in increasing order.\nAnswer: 4, 5, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x + 4*x**2 - 10*x. Let o(a) = -2*a - 5. Let w(v) = v + 3. Let p(f) = -3*o(f) - 5*w(f). What is i(p(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 141*w - 836. Give f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3960\/(-10) - (0 - 8). Let n = w + 923. What is the remainder when n is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let l(w) = -3*w**2 + 18*w + 18. Let s(n) = -n - 1. Let b(m) = -l(m) - 18*s(m). Calculate o(b(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - (-112)\/24. Suppose 4*v = n, -v = -5*s - 4*v + 23. Let y(q) = -3 - 2*q + s + 1. Calculate y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0928 + -0.1072. Sort -3, 2\/5, m, 38 in increasing order.\nAnswer: -3, m, 2\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 20*w = 33*w - 9*w - 22, -22 = 6*l - 2*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.427\nAnswer: -0.2135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 + 4*m + m**2 - m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 10742\nAnswer: 3222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*o - 3*o + 366 = 0. Solve w - 3 = m - o, -3*w + 3 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24190.665 months?\nAnswer: 201.588875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 - 2 = 0. Let j(p) be the first derivative of -p**6\/90 - p**4\/24 - 7*p**3\/3 + 11. Let v(h) be the third derivative of j(h). Calculate v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(175) + 0 + -1)**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 9. Let i be (10 + -8)*(-3)\/p. Suppose -2*f = i*y - 148 - 119, y + 271 = 2*f. Calculate the greatest common factor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 5. Let z(a) = -6*a + 14. Give 14*r(p) - 5*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5212\/13 + -402. Which is bigger: -0.04 or t?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3 + 11*a**2 - 2*a. Let q be y(18). Let i = q - -244. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2791682 is divided by 1114?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)\/(((-36)\/8)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*h - 1660, -5*h + 96 = -m - 236. Let u = -171 - m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -87 (b) -0.069 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243910 is divided by 44421.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w**(-1\/4)*w)\/w*w*w)\/w)*w**(-5)*((w*w**(-2\/9))\/w)\/w**7)\/(w**(2\/5)*w*w*w\/(w\/((w**(-7)\/w)\/w*w)))**(1\/25) assuming w is positive.\nAnswer: w**(-52867\/4500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 13*o = -165 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13846622 divided by -134\nAnswer: -103333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Let w(j) = 349*j + 11. Let c(t) = 2*l(t) + w(t). Let m be c(3). Round m to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*z - 10 = 0. Let r = -1 - -6. Solve r = -7*q + z*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/119 + (-2 + 1)\/(-28). Sort 4, g, -13\/5 in decreasing order.\nAnswer: 4, g, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 3052*v\/3 - 1164338\/3.\nAnswer: -2*(v + 763)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -3*(sqrt(68) + 0 - sqrt(68)))*4)**2 + -4.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11193223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -u + 302*i - 300*i, 0 = -3*u + 8*i + 64 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2 - 2*f - 7. Determine h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 2. Let x be w(-3). What is the common denominator of 302\/x + 3\/5 and -121*1\/24*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53511 - 131042?\nAnswer: -33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5\/5 - 49656*f**4\/5 + 154206672*f**3\/5 - 123236264*f**2 + 92404860*f = 0. What is f?\nAnswer: 0, 1, 3, 6205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10260 and 135090.\nAnswer: 810540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 e when three letters picked without replacement from {f: 8, y: 2, v: 2, l: 1, e: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 13. Suppose 0 = k*g - 4*u - 50, 2*g + 20 = 3*g + 2*u. Let v be 8\/(-6)*g\/(-12). Solve -3*n + v*j + 21 = -8*n, -3*n - j = 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b5 (base 15) to base 13\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 18. Let v be i(-16). Suppose 3*d - 4*d = -v*d. Solve d*f - 2*f - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48493530023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - i - 26, 0 = -0*q - 2*q - 2*i + 28. Let r = 12 - q. Suppose -5*y + r*y + 9 = 0. What is the remainder when 10 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573359, 573465, 573571?\nAnswer: 573677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o*o*o)\/(o*o*o**(1\/7)*o)*(o\/((o**(-2\/3)\/o)\/o))\/(o\/(o*(o*o*o**2)\/o)*o)*((o*o\/o**0*o)**(-18\/7))**22 assuming o is positive.\nAnswer: o**(-3364\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126916303*v**5 + 2904*v**2 + 1274*v + 2 wrt v.\nAnswer: -7614978180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009375 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.01 + -14.8. Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 7, b: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 * 1.5753\nAnswer: -0.1118463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 343222.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:14 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*i - 244*i + 732*i - 244*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 59*y - 25580 - 25568 + 51148.\nAnswer: -55*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 + -0.6. Let y be (2\/6)\/((-11)\/(-33)). Put y, 2, z in descending order.\nAnswer: z, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*y + 1942*y + 18394 = 704*y + 139957 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 85*a - 25. Let k(j) = 4*j. What is d(k(u))?\nAnswer: 340*u - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from fddffffd.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48498748 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-50))\/(68\/(-85)))\/(-1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5\/7 - 134*g**4\/7 + 428*g**3\/7 + 152*g**2\/7 - 656*g\/7 - 256\/7 = 0 for g.\nAnswer: -16, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 95*l - 459. Let r be y(-5). What is the greatest common divisor of 4818 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 4*y + 4. Let i be -6*(935\/(-2310) - 4\/42). Let l(w) be the first derivative of 15\/2*w**2 - i - 15*w + w**3. Determine 4*l(p) + 15*n(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3*k - 23, 13*g + 1980*k - 992*k - 22 = 989*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 greater than 11639\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*r - 2*z, 3*z - 318 = -5*r - 115. Suppose -r*c + 35434 = 3872. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 192*t + 65. Is l(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 4*k + 18. Calculate the remainder when 3606 is divided by l(-7).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 26, -0.1, 100, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 1, a: 3, n: 6}. Give prob of picking 2 r and 2 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -6\/3911, 5 in decreasing order.\nAnswer: 5, 0.01, -6\/3911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 10) in base 9?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 153036*j - 3826150.\nAnswer: 2*(j - 25)*(j + 382615)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -4197\nAnswer: -12591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (5 + 1 + sqrt(200))) + -3)**2*4.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/40*-1)\/((-10)\/(-450)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 66\/26)\/((-13)\/(-221)). Is -10 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 455*q - 456*q + 4*p, 2 = -3*q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 15*n**5 + 521050*n**4 + 4514805*n**3 + 5730050*n**2 - 2430960*n = 0?\nAnswer: -34728, -7, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 44, 0.1, 0.3, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 12\/7, 2, 0 in ascending order.\nAnswer: 0, 12\/7, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9612.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = u + 28, -3 = 8*u - y + 7 + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c)\/(c*c**(2\/25))*(c*c**(-1))**19)\/(c**(-3\/2)\/c*(c*c**0)\/c)**(-1\/4) assuming c is positive.\nAnswer: c**(-3387\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 - 23 = -109*g. Let n(y) = y**3 + 2*y**2 - 9*y + 9. Calculate n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 at least 2576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + w + 4*w + (-3*w - 3*w + 5*w)*(1 - 6 + 4) - 8*w + 10*w - 5*w)*(1 - w + 0*w + 4).\nAnswer: w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 132*v**3 + 6*v**2 + 25. Let u(x) = -x**2 - 4. Determine -n(c) - 6*u(c).\nAnswer: -132*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 5*j**2 + 8*j - 6. Let m be c(2). Let z be (-2)\/(-1)*-24*-6. List the prime factors of (m\/(-3))\/((-12)\/z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 668\/501*6\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, -39, 6, -3\/8, 3.56 in increasing order.\nAnswer: -39, -3, -3\/8, 2\/11, 3.56, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 9*m + 19. Calculate f(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnpnnnnnpn.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-45)\/(k\/((k*k*k**15)\/k)*k*k))\/(k**(-1\/3)*(k**(-2\/75)*k)\/k) assuming k is positive.\nAnswer: k**(-791\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a - 14*a + 10*a**4)*(1 + 1 + 0*a + 3*a + (-a - 2*a + 2*a)*(-4 + 7 + 2) - 1 - 2*a + 1 + a + 0*a - 5*a - a + 0*a + 3*a).\nAnswer: -60*a**5 + 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(304) + -1 + (sqrt(19)*-1)**2.\nAnswer: 18 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990*o - 980*o = 104910. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8882 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 561. Let l = -287 + 560. Suppose m + 256 = l. What is the greatest common divisor of m and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.96 - -32.96. Which is smaller: 2\/7 or p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25353\/6 + 395\/(-158)?\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/20)\/((-8)\/260). Let a = 6 - q. Suppose -5*h - 5*l - 30 = -h, 0 = -4*l - 8. What is the second smallest value in -2, a, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Let k = 1179 - 1183. Which is the second biggest value? (a) 1 (b) o (c) -11 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1874 times 9\nAnswer: 28.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bixixbiibiibix. Give prob of sequence ix.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530 and 39538.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by ((-6)\/((-36)\/6))\/((-2)\/(-32))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*q = 30, -102*s + 148*s - 2*q - 1004 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-648)\/6 + (-7 - 3). Which is the closest to 0? (a) -4 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + d?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (2 - 7)\/((-19)\/76).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h)\/h**(-1\/13))**(17\/2) assuming h is positive.\nAnswer: h**(561\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*f + 1108*f + 15*f)*(-6*f**3 + 6*f**3 - 7*f**3).\nAnswer: -9527*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*i**3*p**2 + 27178*i**3*p - 12850355*i**2*p**2 + 2*i**2 wrt i?\nAnswer: -732*p**2 + 163068*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 6) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 5*q + 3*q)*(q + 5*q + q + 13*q).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -203. Let b(d) = -15*d - 5. Let t be b(-6). Let q = r - t. Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + 71*m**2 - 164*m - 229. Let z(t) = -2*t**3 + 34*t**2 - 82*t - 114. Let s(k) = 2*d(k) - 5*z(k). Let s(h) = 0. What is h?\nAnswer: -1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*t - 639*t + 316 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 16 = 21*c - 24*c, -6*c - 23 = 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 555637 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-4) + 21\/(-14). Solve g*h = h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-8)\/31*5\/10)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3220332130 (base 4) to base 13\nAnswer: 275473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 258*v - 520*v + 10 + 259*v. Give u(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 99. Let r = t - 46. Solve 0*o = -5*h - 5*o - 20, -r*h - 10 = 4*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*i = -91 + 306, 5*k - 2*i + 1121 = 0. Is (-36)\/(-20)*(-4)\/(4\/k) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i - 3. Let v be u(-3). Let d be (90\/(-12) - -4)*-6. Calculate the highest common divisor of d and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 5. Let y be w(0). Let z(m) = 4*m - 16*m**2 + 12*m**2 + 7 + 2*m**3 - 3*m**3. List the prime factors of z(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.0032 millennia in months?\nAnswer: 8220038.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3941 - -4055. Calculate the least common multiple of 57 and j.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/128*8)\/((-21)\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3923*-0.3.\nAnswer: -1176.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 + 66*z - 42. Give c(9).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3)\/(60\/(-2195))*8. Suppose -2*i - d = -2*k - k, -3*i = -6. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398 by -27.\nAnswer: -398\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485*g = -449*g - 1259316. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - -17. Let j = -155 + f. What is the units digit of (2\/5)\/((-4)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7*(-27)\/(-126))\/(6\/(-4)). Put i, 1, 123 in descending order.\nAnswer: 123, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y + 20 = 0. Solve -3*u = -y*g + u + 20, -8 = -4*g + u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -1) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -55.958. Let y = -1.732 - m. Round y to one dp.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k**3 - 21*k**2 - 3*k**2 - 21*k**4 + 34*k**3 - 12*k = 0. What is k?\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1060932 + -5263704. Let a = n + 4202592.9883. Let x = a + 179. What is x rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19674 is divided by 787.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840)*1*1 + (sqrt(4840)*-2 - sqrt(4840))*3)\/(sqrt(648)*1*3 + sqrt(648) - (sqrt(648) - (sqrt(648)*-2 - sqrt(648))*-3)).\nAnswer: -22*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let w = -15 - -24. Suppose -5*f - 2*m = -0*m - 46, 3*m - w = 0. Solve -5*y = q*u - f, -3*u - 32 = -2*y - 3*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(304) - sqrt(304)) + 2)**2*5.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*y + 19, -2*y + 8 = 3*x - 4*x. What is the second derivative of -3*s**5 - 3*s - s**y - 8*s wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 3*g. Let k(t) = 23 + 11*t + 4*t - 11*t. What is the remainder when k(-3) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 16*p + 40. Calculate the remainder when y(-8) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-33)\/6 + -1)*-10. Suppose 4*i - 42 = -2*o, -5*i + 0 + d = 5*o. Suppose i*m = 5*m + 84. What is the remainder when 54 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -1061, 0.09 in decreasing order.\nAnswer: 0.3, 0.09, -1, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81440 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237052633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.24.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:56 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 18. Let y be q(-8). Let t = y + 18. What is the greatest common factor of t and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -20, -2, 10, 10?\n\"Answer: -x**3 + 6*x**2 + 7*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 50 - 30. Let t(a) = -a**3 + 45*a**2 - 126*a + 60. What is the remainder when t(42) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/270 + 59*s**5\/90 + s**3 + 12*s - 170. Let r(k) be the third derivative of z(k). Factor r(u).\nAnswer: 4*u*(u + 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98375*m + 2499 = 98424*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 53, 65, 79?\n\"Answer: k**2 + 7*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.327 - -691.327. Let n = 691.2001 - p. What is n rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 152, 159, 162, 155, 132, 87, 14?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*105\/(-80)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/40 in 0.081, 0.1, 2, 1\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -847, -1523, -2199, -2875?\nAnswer: -3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 45123297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooioiiiioioo?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125 = 3*r + 87*c, -2 = 2*r + c + 11 - 36 + 6 + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(19) - (sqrt(19) + 0)) - sqrt(19)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83.5 - -83. Which is the second smallest value? (a) -0.3 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2028 and 405348.\nAnswer: 68503812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r + 3*r - 2 - 9*r + 4*r. Let x be q(2). Is 5 a factor of (x\/(-6))\/((-1)\/(-11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 201216.\nAnswer: 9859584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 s when three letters picked without replacement from {s: 3, u: 3, q: 3, n: 1, k: 2, w: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 185 + 233 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 5. Let c(o) = -o. Suppose -u + j = -2 - 5, 0 = -5*u - 3*j + 11. Let p be c(u). List the prime factors of w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 198, 487, 902, 1449, 2134, 2963?\n\"Answer: n**3 + 54*n**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419198832 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + 18*x - 35. Let p(w) = 12*w**2 + 37*w - 69. Let r(v) = 5*m(v) - 2*p(v). Calculate the remainder when 257 is divided by r(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7203\/19 + 379. Sort m, -4, 5.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 751*b + 250466 - 228687 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-11\/4)\/x*x*x)\/x**(-10\/7))**(-33))**(-2\/117) assuming x is positive.\nAnswer: x**(-33\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119318, -238614, -357910?\nAnswer: -477206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - 138. Is t\/(3\/(-1) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 120. Solve -4*a + 27 = 3*y, 9 + 7 = g*y + 2*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318*m**3 - 1694*m**3 + 4813*m**3 - 1729*m**3.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -297, -674, -1191, -1842, -2621, -3522, -4539?\n\"Answer: n**3 - 79*n**2 - n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 3*c**6\/40 - 7*c**3\/2 + 5*c**2\/2 - 17*c. Let i(j) be the first derivative of h(j). Differentiate i(q) with respect to q.\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99147*k**4 + 112*k + 493.\nAnswer: -1189764*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (85\/51)\/(-147*16\/(-36)). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11 + 21 = 3*n, 3*n - p = 34. Suppose -5*t + 2*t + n = 0. Is t at least as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1076052, -1076056, -1076060, -1076064, -1076068, -1076072?\n\"Answer: -4*f - 1076048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14279.9990149 - -14280. What is o rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 2\/((-4)\/6). Suppose 2*d = -t*d + 8. Suppose -6*p + 15 = -p, d*k + 5*p - 55 = 0. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4125601.\nAnswer: 4125601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**3 - h**3 - 760 - 6*h**3 - 7*h**3 - 4*h**3 to c + m*h**3 + j*h + l*h**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 3. Let k be x(4). Which is greater: k or 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 14*m**5\/13 - 4*m**4 - 54*m**3 - 1652*m**2\/13 - 1256*m\/13 - 240\/13 = 0.\nAnswer: -3, -2, -1, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - 1. Suppose -p*d + 4*b = 23, -5*b + 16 = -2*d - 11. Suppose 0 = 6*f + 17 - 11. Is f less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199181 = 4635*q - 110367 - 29205 + 32843 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 95*w**3 + 29*w**2 + 20*w + 3. Is p(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 times -25\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -10. Let j be (9675\/l)\/(((-81)\/(-480))\/9). What is j rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -61. Suppose 0 = 2*s - h*r - 218, 327 = 3*s + 2*r - 4*r. What are the prime factors of s?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 7686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2542150 (base 6) to base 10.\nAnswer: -137874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*8\/(-6). Let y = 5 + 0. Let t(p) = p**2 - 4*p. Let j be t(y). Solve -v*m = 2*d - 2, -6*d - j*m + 14 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d + d + (-2*d**2 + 2*d - 2*d)*(-d + 0*d - d) + d**3 + 2 - 2 - 3*d**3 + d**3 - d**3)*(d**2 - 7*d**2 + 0*d**2).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124 - 1981?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 + h + 6. Is 18 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49450.02 decades in years?\nAnswer: 494500.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 645*v - 4 = 643*v, 0 = -5*q - 5*v - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -227. Suppose 105 = -4*v + f. Let w = 13 + -8. Solve 5*o + w*x = 10, -3*x - 2*x = 4*o - v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k - 15*k + 41 + 3 to the form h + m*k and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**3\/2 - 7*a. Let p(v) = 2*v**2. Give p(h(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 159529780*x**2 - 1590609498942912*x - 1590609339413136 = 0. Calculate x.\nAnswer: -19941222, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 3:14 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.4 - -17. Let n = -0.54 + d. Let h = -690 - -690. Put h, 0.1, n in increasing order.\nAnswer: h, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33131220013 - -1213?\nAnswer: 33131221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279300 by -28.\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3. Let j be h(1). Suppose 4*z - 28 + 12 = 0. Let d(c) = 0*c - 3*c + z + c**2 + 0*c. Determine d(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 70. Suppose u = -k + 9. Let j be (-1 + u\/(-6))*33000. What is j rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 104.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227946801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 - 6*y. Let f = 6 - 12. Give q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*u + 2*c + 54, 0 = u - 5*c - 24. Suppose 0*q - 1176 = -12*q. Suppose 14*k = -14 + q. Calculate the least common multiple of u and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346241 is divided by 4371?\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 42*u**2 - 25 + 13.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*f - 2*n + 30, 4 = 3*f - 4*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*s - 109*s - 76 - 122 = 0. Let l(x) = -4*x**2 - 8*x - 15. Determine l(s).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -64*g + 29. Let r(k) = 9*k**3 - 2*k**2 + 6*k. Let q(c) = c**3 + c. Determine g*r(j) - 6*q(j).\nAnswer: 3*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103048051 to the power of 1\/2, to the nearest integer?\nAnswer: 10151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.119, -44.8, -0.12, -3 in descending order.\nAnswer: 0.119, -0.12, -3, -44.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 15\/7 (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795706.5 rounded to the nearest 10000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/7 - 4276*w**2\/7 - 1131996*w\/7 + 5767380\/7.\nAnswer: -4*(w - 5)*(w + 537)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.042 - 32. Let v = u - -4.958. Let j = 49.1 + -49. Which is the nearest to j? (a) -0.4 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 + 17539*a - 20471 with respect to a.\nAnswer: -8*a**3 + 17539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s = -18, -2*u = -4*s + 16 - 28. Solve -11*p - u = -17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9488 + 9922?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113903 by 1183.\nAnswer: 113903\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 15*x**2 - 691*x + 40. Determine r(46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*l**4 - l**3 - 364995*l**2 - 219259493*l.\nAnswer: -528*l**2 - 6*l - 729990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44850 (base 15) to base 8\nAnswer: 651423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 14*m - 5*m + 84. Solve m*t - 23 = -3*q, -15*q + 16*q + 3 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 - 2531\/8. Let o = 0.04 + 0.26. Let u = o + -0.2. Sort f, u, 2 in descending order.\nAnswer: 2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 284, 419, 554?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 9*m**2 - 7*m - 6. Let h be q(8). Suppose -4*p + 24 = 4*v, h*v + 37 - 1 = 4*p. Let s = 5 - -6. Calculate the least common multiple of p and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 10) in base 9?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:53 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + (1*(sqrt(252) + (1 + sqrt(252) - sqrt(252)) + -4 - ((sqrt(252) - sqrt(252)*2)*6 - sqrt(252)))*3)**2)*-2.\nAnswer: -290463 + 5184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x + 348. What is t(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820 and 4645900.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 + -1.66. Let d(m) = -m**3 + 6*m**2 - 5*m. Let o be d(5). Suppose 5*y - 2*y + 15 = o. What is the third smallest value in 6, c, y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.071 (b) 113 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/275 - (-8)\/(-10). Determine a so that 1\/2*a**5 + 13\/2*a**3 - 3*a**4 + m + 2*a - 6*a**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 9. Let y = -39 + 36. Let l be b(y). Let a = -1 - -4. Solve -l = -a*j - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yppypppppppy. Give prob of sequence pypp.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2*c - 3. Let m be g(-3). Let n be (m + -10)\/(4\/2). Solve o + n = -3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1280252.8 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let c(z) = 37*z**2. Let r be c(s). What is the units digit of (-2)\/7 - r\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7*b - 2*b - 155392, 5*b + 9*w - 155472 = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1978765828 to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12.6995035017 + -0.2\nAnswer: 12.4995035017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**11*o**(-1\/5) assuming o is positive.\nAnswer: o**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*b - 135*b + 1422 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*g*n*z - 147*c*g*n + 5*c*g*z - c*g - 34*c*z wrt n?\nAnswer: -3*c*g*z - 147*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:59 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 60*p. Let w(a) = 9*a. What is f(w(x))?\nAnswer: 540*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/40 and 137\/715800.\nAnswer: 715800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145\/94 + -2\/47. What is the closest to 1 in 0.8, 2\/17, u?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/14*34*(-30)\/(-5100).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14) + 777\/(-1323)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/10 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -128230 to the nearest 100.\nAnswer: -128200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6643877 is divided by 6624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17763993869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718*d**2 + 618*d**2 + 2*d**5 - 1208*d**2)*(-3 + 0 + 4 + (-1 - 2 + 5)*(2 + 4 - 5) + 0 - 4 + 2).\nAnswer: 2*d**5 + 128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 40 + 62 = 0. Let d be (-2)\/(2\/g*-3). Let l = 14 + d. Let v(i) = i + 3. Give v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*g + 58, 92019*g = -4*v + 92022*g - 128 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1490265.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44304 (base 5) to base 14\nAnswer: -119d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 19 = 0. Suppose -s*d + 0 = 18. Let b(g) = -2 + 4*g**2 + 4*g - 8*g**2 + 5*g**2. Let k(v) = 3*v - 2. Calculate d*b(h) + 4*k(h).\nAnswer: -3*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - j + 2*j**2 + j**3. Let v(i) = -i**2 - 23*i - 1. Let x be v(-23). Let w(z) = z**3 + z - 1. Calculate x*w(a) - h(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*d - 56 = 117*d. Suppose 24*t = 28*t + d. Let f = 43 - t. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*i + 14, 34162 - 34148 = l + 5*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2407 - 1109. What is the remainder when c is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 211*z + 3691. Calculate y(-228).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:32 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 - 167*v**4\/12 - 27889*v**3\/6 + 1159*v**2. Factor p(a).\nAnswer: -(a + 167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006622557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 45*m**2 - 258*m + 6583. Calculate y(21).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-4\/29)\/((v**(-18)*v)\/v**(-1\/2)) assuming v is positive.\nAnswer: v**(4801\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/20 + p**4\/2 + 7*p**3\/6 + 4*p**2 - 10*p. What is z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -2103?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17122 - 8278. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5209 + -19?\nAnswer: -5228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s - 5. Let g(w) = -w**3 + 7*w**2 + 7*w + 8. Let u be g(8). Suppose 2*y - 11 - 5 = u. Let n = 8 - y. Give k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29970 and 34632?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44691, 89430, 134221, 179070, 223983, 268966, 314025, 359166?\nAnswer: 404395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256 - -498. Let h = 9 + -4. Suppose a + 73 = 5*a - h*g, 0 = -a + 2*g + 16. Calculate the greatest common factor of t and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = 0. Suppose 2*u = y - 2 - w, -4 = u - 2*y. Differentiate u*s + 2*s + 2*s - 3*s - 1 wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**3 - 146*k**2 + 6*k - 9539 wrt k?\nAnswer: -9*k**2 - 292*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46043123 divided by 6577589?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 + 1205. Suppose z - 2*i = 636, -z + 3*i - 171 = -g. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2856 divided by 15\nAnswer: -952\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534920?\nAnswer: 2, 5, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 453943212 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 85\/7 - (-6)\/(-42). What is the first derivative of i*j**3 - 1080 + 23*j**3 + 1081 wrt j?\nAnswer: 105*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n. Solve y - 2*y + 1 = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3025)*1 - sqrt(3025))\/(-4*sqrt(20)\/sqrt(4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 28 - 960 - 6*r - 4*r.\nAnswer: r - 988","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(3\/1) + 4. What is the units digit of (-16)\/r*(-4 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Let q = -33 + 36. Sort q, -2, u in decreasing order.\nAnswer: q, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u = 816*u + 441 - 15384 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 927*z - 12. Let i be d(-4). Round i to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhmf when four letters picked without replacement from {h: 3, f: 4, m: 11}.\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153718 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389513 by 1.\nAnswer: 389513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Suppose f*w - 5 - 31 = -5*m, -4*m = -2*w - 20. Suppose 5*s - 2*z = 6 + 9, m = 2*s + 5*z. Is s 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 146 and 5475?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 2 - 3 + 3*z**3 + 199*z**2 - 5*z.\nAnswer: z**3 + 199*z**2 - 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 77921?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 14*u + 11. Let h be g(12). Suppose 5 - h = -5*d. What is the lowest common multiple of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 110, 144 in descending order.\nAnswer: 144, 110, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**3 + 6*c**3 - 7*c**3 + (2*c - 5*c + 2*c)*(-2*c**2 + 0*c**2 + 3*c**2).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 15 = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97967531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.4 - 32. Let i = -2.6 - w. Let p = 20 + i. Which is the nearest to 0.1? (a) 0.3 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3743046 to 3 decimal places.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 - 289 = -4*u + 4*c, -3*c + 8 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 3. Let i(w) = -5*w - 16. Suppose -19*l + 3*l - 352 = 0. Give l*g(o) + 4*i(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -173, -245, -317?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**3 - d**2 - 7*d - 9. Suppose 11381*f - 5687*f = 5715*f - 147. Let r(m) = -6*m**3 + m**2 + 4*m + 5. Let w = 8 - 4. Calculate f*r(b) + w*h(b).\nAnswer: 2*b**3 + 3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*1*sqrt(152)*-4)\/(sqrt(800)*1*5).\nAnswer: 48*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286\/52 - (-1093967)\/34.\nAnswer: 3, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 - 8*y**2 - 5*y + 3. Suppose 2*k - 10 = 4*k. Let f(i) = -2*i**3 + 5*i**2 + 3*i - 2. Let s(b) = k*v(b) - 8*f(b). Give s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3684, -108, -51 in increasing order.\nAnswer: -3684, -108, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/15*243\/81*18\/4\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32768011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 20. Let g be d(-8). Let y be g\/(-42)*5*3. Calculate the common denominator of -5\/2 and 36\/77 - y\/(-55).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 846332*f + 4231710 = 0. What is f?\nAnswer: -423171, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/8 + -4)*-2. Suppose 0 = 3*w + 5*i - 646, -z*w + 1182 = i + 76. List the prime factors of w.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let u = 5 + -4. Let y = -5 - -4.6. Which is the nearest to u? (a) y (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -54.\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -220\/1319 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 1928, 4804, 8954?\nAnswer: 14378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 3, 64, -5, 0.2, 0?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 31 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25326 divided by 4.\nAnswer: -12663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8790)\/(-50) + 4\/20?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*x + 3*x - 632 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-24) + (-10)\/(-4). Solve -i + u*i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*(113\/339)\/(2\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t - 2*b = -12, 3*t + 5*b = 16. Suppose -t*z - 2*d + 2986 + 3828 = 0, -3407 = -z - 3*d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 remainder when 8993 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t + 38*t**2 + t - 11*t**2 + 6*t wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 125744\/22143?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 383?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5534*v = -5584*v + 63800. What is the highest common divisor of v and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-190)\/14*(-54)\/(-45)*(-63)\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.027 + 5.027. Which is the closest to -0.1? (a) 0.1 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2173*q - 44*q - 439*q.\nAnswer: 1690*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -15*o - 59 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*n - 360 = 1129*n - 2277*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 65+-10438364444\nAnswer: -10438364379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27\/36*40\/135\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 25699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 + 360. Suppose -2*g = -4*h - 0*g + 24, 4*h + 2*g = 8. Suppose -5*w + k = -j, -6*w - h*j = -2*w - 104. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30616 + 243?\nAnswer: -30343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3828.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.13, -0.4, -3.4?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - 33 - (47 - 107)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/878, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234580.214 rounded to the nearest one thousand?\nAnswer: 14235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/36 + 2967\/(-86)*3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -788077 - -788082.9999976. Let w = d - 6. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*j**5*r + 161245*j**3*r + 572*j**2 + j*r - j + 438*r wrt j?\nAnswer: 600*j**2*r + 967470*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 - 2*g - 2. Let h be u(7). Suppose h = -c - 17. Let i = 328 + c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 130 = j + 35, 0 = 5*t - 2*j - 80. Let b be ((-6)\/t)\/(2\/42). Let y be (7\/2)\/b*0. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29456 + 0)\/((-4)\/10). Let p be (j\/(-12))\/7*3. Round p to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4515 - 4449. Let d = -57 - -156. Suppose -11*i = -d - r. What is the remainder when 49 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/4))\/i*i\/((i*(i\/(i\/i**40))\/i)\/i))\/(i\/i**(-42))**(-9) assuming i is positive.\nAnswer: i**(1401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-3984\nAnswer: 2390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 33 = 38 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)\/4*-4. Suppose 5*r - 2*r = -12. Let q be r + (1 + 3 - 3). Put q, n, 5 in descending order.\nAnswer: 5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - u + 9, 0 = 5*l - 0*u + u - 18. Suppose 3*o = 3*z + 24 - 12, 5*z - 1 = -2*o. Find the first derivative of -m**l - 6 - o + 4*m**3 wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 10, h: 3, o: 2}. Give prob of picking 2 e and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -1327, -2978, -5179, -7924, -11207, -15022?\nAnswer: -19363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -0.3, -4\/7, 0.1, 4, -3, -659921?\nAnswer: -659921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 3*u + 50178604*u**2 - 50178603*u**2. Let t(k) be the second derivative of 131*k**3\/6 - k. Calculate o(t(z)).\nAnswer: 17161*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7\/5 (b) 0.06 (c) 0.5 (d) -2\/7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 136\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/10 - n**5\/12 - 13*n**2. What is the third derivative of y(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 59, 66, 71, 74, 75, 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {g: 1, j: 4, q: 2, z: 4, f: 2, p: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -90. Let t = -3 + 7. Suppose 8 = t*w - 0*w, g = 5*l + 5*w. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52184 is divided by 2372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25442?\nAnswer: 2, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 5*f. Let t(q) = 2*q - 8. Calculate the remainder when 7 + (-6)\/(-3) + f is divided by t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + (sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77)*-2 + sqrt(77))*-2 + sqrt(77)))\/(sqrt(1331) - -3*-1*sqrt(1331)).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 247866762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 - 81570?\nAnswer: -81352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1*0\/2. Let w = q - 3. What is the highest common divisor of w and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248 - -468. Suppose -u = 7*g - 12*g. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 4*n - 97. Let x be -1 - 0 - n*(-105)\/(-6). What is the highest common divisor of x and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-50)\/(-3))*(-20)\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9 and 32\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -26\/25, 0.4, -15, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-645*d - 440*d + 807*d)*(-d**2 - d + d + (-d - 3*d + 5*d)*(5*d - 2*d - d)).\nAnswer: -278*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 8*f - 18. Let w = 6071 + -6076. Calculate i(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*n = -n - 5*n - 11, -4*m - n - 2*n - 32 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 j when three letters picked without replacement from {a: 1, m: 1, j: 3, y: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -11.9 (c) -34576\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let w(m) = m**2 - 3. Determine w(k(x)).\nAnswer: x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 2\/(4\/206). Suppose -s = -8*m + 3*m - h, -17 = m + 3*s. Find the common denominator of -45\/7 and 434\/(-40) - m\/(-50).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 35*x**4\/24 + 13*x**3\/6 + 27*x**2\/2 - 13. Let u(k) be the second derivative of y(k). Differentiate u(n) with respect to n.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 2*p**2 + 1. Suppose 22 = 5*o + 17. What is i(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -50, -70, -90?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:59 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -7.71\nAnswer: -7.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -5 + 5 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87312 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-1)\/(42\/46) + 304 + -310. What is the third biggest value in c, 53, 0, 0.8, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -48. Let v be j\/2 + 5 + 4. Let l = 15 - 17. What is the closest to l in 0, 3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1242 + -1248. Let p(z) = 6*z + 42. Calculate p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -359*u**2. Let r(a) = 3*a. What is z(r(f))?\nAnswer: -3231*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 76\/((-5 + -5)\/(-5)). Suppose -14 = -j - j. Suppose t + j = v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-25))\/(3116\/95 - 33)*18.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.4 - -23. Which is the nearest to 1? (a) 0.1 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-600)\/(-100))\/((33\/(-2))\/11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 28 + 5 + 10202*m**2 + 10.\nAnswer: 10202*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*f)*(2 - 4 + 1) + 53*f - 5 + 62*f - 97*f to s + u*f and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -67, 2, 14.\nAnswer: -67, -5, -3, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -5, 439390, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247737119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 + 2 + 499*v**2 - 19*v**2. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2 - (-20)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 134754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-10))\/(2 + (-64)\/30). Solve -3*r - 4*j + 37 = 11, 0 = -4*r - w*j + 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j - 21*j + 44*j)*(-6*j + 0*j + 5*j).\nAnswer: -59*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -660*h**4*s - 2*h*s - 103*h wrt h.\nAnswer: -7920*h**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8986337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -0*g + 5*g + 4*k, -g = -k + 91. Let i = -350 - -495. Let w = g + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*3 + (82 - 6). Suppose 4*i + 13 = c. Calculate the highest common divisor of 135 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22536 divided by -6?\nAnswer: -3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 66. Suppose 3*r - 26 = -t*h, 2*r - h - 10 = -6*h. Solve -4*n + 2 = r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(0 + (sqrt(704) - sqrt(704)*1*2))*-6)**2 + 4.\nAnswer: -2433020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141270 divided by -28254\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28314 and 714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4544472 to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8487 divided by -4.\nAnswer: 8487\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*f + 7, 3*h - 23 + 9 = -5*f. Solve -2*n = 2*d - 4, 0 = d - 2*d - h*n + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*q = 163*q + 9639. What is the remainder when q is divided by 99?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2130157*s + 271. Let z be a(3). What is z rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3969 = -a, -37*z + 4*a = -39*z + 2646. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.15844 * -6\nAnswer: -12.95064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s + 4. Let z be g(0). Suppose 18*v - 2*v = 38*v - 22. Put 15, v, 2, z in decreasing order.\nAnswer: 15, z, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/6643008 and 2\/9.\nAnswer: 6643008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226948 is divided by 1464.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-17))\/m*m)\/m)\/(m*m**(-18)))**(1\/53) assuming m is positive.\nAnswer: m**(34\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let f be (-10)\/(-14)*(-2)\/5. Let q = -0.25 - -0.65. Which is the nearest to d? (a) 2 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 2*s - s - s - 2 + 2 - s + 2*s + 0*s + 5*s - 3*s - 3*s + s - 3*s + 0*s + (0*s + 3*s - 4*s)*(-1 + 1 + 1) + 2*s + 0*s + s as d*s + g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.42 + -5.420259. Round q to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*f - 9 = 5*f, -3*f = 3*d. Let y be 5\/2*12\/15. Sort -5, -3, y, d in descending order.\nAnswer: d, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 921705*m - 5*m**2 + 17 + 921704*m - 2*m**3 to the form z*m**2 + l*m + p*m**3 + b and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 1300, 4173, 9588, 18391, 31428, 49545, 73588?\nAnswer: 104403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653776115 to the power of 1\/2, to the nearest integer?\nAnswer: 51515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 124\/(-28) - 4\/7. Let h = 34 + -29. Let b be ((-210)\/(-20))\/(15\/12 + -2). Put b, -2, h, l in decreasing order.\nAnswer: h, -2, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 125*g**2 + 508*g + 20. Determine p(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 - 17*p - 6. Let b(x) = -6*x**2 + 18*x + 7. Calculate -2*b(s) - 3*w(s).\nAnswer: -3*s**2 + 15*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129*44009.\nAnswer: -5677161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.088, -0.1, -1?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -363?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -416 (b) -0.1 (c) 3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5) + 16\/(-80)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 2*v + 2*v)*(4*v + 0*v + 2*v)*(10 - 28 - 18)*(-3 + 5 + 4) to the form k*v**2 + q + c*v and give k.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5834, -23605, -53252, -94775, -148174?\nAnswer: -213449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -9, 0.018, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.1, -1\/2, -4.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 19. Let n = 5 - c. Suppose -g - 2*g + 1101 = n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29778 + 34133. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 - 4*w**2 + 3*w**2)*((-3*w**2 + 2*w**2 + 0*w**2)*(-2*w - 2*w + 6*w) + w**3 - 4*w**3 + w**3 + 1151*w - 1151*w + 51*w**3).\nAnswer: 423*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 4*y + 3. Calculate b(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*u - 19, 4*j + 4*u = -40. Sort 2, -50, j in ascending order.\nAnswer: -50, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(605)*-3.\nAnswer: 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-450))\/(9\/(-27))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.532652 decades?\nAnswer: 0.05532652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30094 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiv when three letters picked without replacement from iijjijiqvi.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(88)\/sqrt(648) + -5.\nAnswer: -2 + sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*c + 10 = -1821*c + 2*w, -w + 3*w - 6*w + 24 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, d: 4, y: 13}. What is prob of picking 2 y and 1 d?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s**3 - 273710*s**2 + 2195805*s - 4120650 = 0 for s.\nAnswer: -54942\/25, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 12*o**2 - 10*o - 6. Let d be r(-11). Suppose 0 = c + 3 - 17. Let g = c - d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*q, 3*f - 6*f = -3*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxf when four letters picked without replacement from uufxxf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*6\/(-24)*6. Suppose b + f*b = -5*s + 221, s = -3*b + 163. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 97*x + 0 - 96*x)*(-4*x + 4*x + x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.2242888 to two decimal places.\nAnswer: 60.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327\/2 - 3\/(-6) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 24.9, -2\/61, -2\/9, 0.1, -1\/4?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 7254.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(1190\/(-25))*(-4)\/5.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to -259.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23\/2 + 13. Let p = 55.3 - 55.33. What is the third biggest value in 0.23, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220\/3 - -75. Let y(q) be the first derivative of -g*q**3 + 7*q + 0*q**2 + 1\/4*q**4 + 5. What is y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -101. Let b be (-52)\/(-15) + -3 + 0\/d. Is 1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186.5*11\nAnswer: -2051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 11, 2\/15, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 2*a - 3*a**3 - 7*a**2)*(3 - 6 + 2) - 3*a**3 - 4*a**3 - a**3.\nAnswer: -5*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**3 - x**2 + 5*x - 7*x**3 - 4*x**3 + 8 + 19*x**3 + 8*x**2. What is n(7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 837752*o + 373675908.\nAnswer: 4*(o + 447)*(o + 208991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 143 (b) -66 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 7*f - 10. Let i be p(4). Solve -1 = -s + i*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35411 + -35369. Solve -22*l + 100 = -d*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/5)*q*q**(2\/33))\/(q\/(q\/(q**(-21)\/q)))**(-8\/3))**(-31) assuming q is positive.\nAnswer: q**(293632\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 272 times -0.19\nAnswer: -51.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t - 11*t - 10*t - 4*t as x + v*t and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 - 5*j**2 - 4*j - 6. Let c(u) = u**3 - 11 - 9*u**2 + 0*u - 4*u**3 - 7*u - 10*u**3. What is 6*c(r) - 11*q(r)?\nAnswer: -r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let k = 0 - -12. Let p be (14\/21)\/((-2)\/k). Let g be a(p). What is the second biggest value in -1\/4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4. Let s = -1 - a. Let m = -3083 - -3083.4. Put m, 4, s in ascending order.\nAnswer: s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 7*l**5\/20 - 7*l**3\/6 - 8*l + 6. Let y(x) be the first derivative of c(x). Find the second derivative of y(h) wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5.6. Let n = p + 0.4. Which is the nearest to -1\/3? (a) n (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, g: 2, u: 5, v: 1, x: 1}. Give prob of sequence vuu.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 23 + 8 = 0. Let t(w) = w**2 - w + 1. Let x(s) be the first derivative of -2*s**3\/3 + s**2\/2 - 3*s + 2. What is v*t(h) - x(h)?\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from dgdgbdbdbbdgsdbdzzd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7))**41\/(o**(-27))**(-8\/5) assuming o is positive.\nAnswer: o**(-1651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24446*h**3 + 60595*h**2 wrt h.\nAnswer: -146676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 94*r**3 + 3*r - 3. Let k(n) = -188*n**3 - n**2 - 6*n + 5. Let w(o) = -6*k(o) - 10*y(o). What is the third derivative of w(u) wrt u?\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52999 years in millennia?\nAnswer: 0.00052999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 725939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + 3*k**2 - 4*k**3 + 4*k**4 - k**4 + 2*k**3 to the form r*k**3 + d*k**2 + i*k**4 + c + h*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -842*m + 32649 - 32649 in the form b + j*m and give j.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -30*j - 50. Is 43 a factor of d(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677134*y - 80 = 677129*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -12 + (-1 - 3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 3*n + 9*n**3 - 3*n**4 + 4*n**3 - 9*n**3 + 5 + 5 - 2*n**2 to the form d*n**2 + q*n**4 + s*n + l*n**3 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2667 - -8002\/3. Which is the smallest value? (a) -11\/8 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -9 (b) -1\/5 (c) 0 (d) 14.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016283?\nAnswer: 3, 338761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*b**2 + 108*b**2 + 60*b**2.\nAnswer: 318*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(27) + sqrt(54)\/sqrt(2) - sqrt(27)))\/((sqrt(225) + sqrt(225)*4 - sqrt(225))*-5).\nAnswer: -3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4 (c) 2\/15 (d) 31 (e) 2 (f) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 213275461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -66*s + 463. Let l(k) = -8 + 53 - 7*k + 0*k. Calculate the lowest common multiple of 21 and l(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 3*k + 5754. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196.37 - 198.37. Let n(i) = i**3 - 3*i**2 - i - 1. Let l be n(3). What is the closest to 1 in c, -1\/7, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 307, 305, 295, 271, 227, 157, 55?\n\"Answer: -j**3 + 2*j**2 - j + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -894 + 8048\/9. Factor x*h**2 - 2\/9 + 0*h.\nAnswer: 2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659633\/260 - 10\/200 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.2. Suppose -m - 4*m = -20. Let p be -3*((-15)\/5 + 2). Which is the closest to g? (a) 1 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23\/(138\/192) - 2. What is the greatest common factor of b and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -1)*237\/(-79). Calculate the remainder when (y - (7 + 3))*-439 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1452*s - 967*s + 1521*s + (-1 - 2 + 2)*(-1 + 4*s + 1) to i*s + v and give i.\nAnswer: 2002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16377703, 16377698, 16377693, 16377688, 16377683?\nAnswer: 16377678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 50, 83, 108, 113?\n\"Answer: -2*q**3 + 14*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3106*w**3 - 9*w**2 - 6*w + 3. Let r(j) = 31062*j**3 + 93*j**2 + 62*j - 31. Calculate -31*l(n) - 3*r(n).\nAnswer: 3100*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 363 = 33*p, 322*w - 326*w - 3*p - 33 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188058 is divided by 5876?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26064 and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 31*l + 122 + 149*l + 123 + 116*l.\nAnswer: 296*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**2 + 0*w**4 + 0*w**5 - 2*w - 6\/7*w**7 + 21 - 74\/3*w**3 + 0*w**6. What is the second derivative of q(n) wrt n?\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155813531 rounded to five dps?\nAnswer: 0.15581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/9, 2\/5, -5\/3, 1, 0.983?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -38\/9. Let m be (-24)\/(-160) + (-2)\/(-8). Let c = 1\/30 - -23\/30. What is the biggest value in c, r, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - g = 17, 0 = 2*n - n - g - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128081703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 442073 (base 13) to base 9\nAnswer: 3014125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 40. Let c = b - -8. Let d = 18 - 14. Is c <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - -11) + 38 + -50 + -13?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5544\/(-180) - (-6)\/(-126)*28*3\/(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/4)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:04 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 2*d**2 + d + 1. Let i be u(-1). Let y(w) = 4*w + 5. Let j be y(-2). Let x be j\/12 + (-19)\/4. Put 1, x, i in decreasing order.\nAnswer: 1, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let b = -1 - -3. What is the highest common factor of i and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**5 - 226*y**4 - 467*y**2 - 6365413*y wrt y?\nAnswer: -80*y**3 - 2712*y**2 - 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 922897490 or -1?\nAnswer: 922897490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 263257496 to the power of 1\/2, to the nearest integer?\nAnswer: 16225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*b = -55439, 36*s - 2*b = 40*s - 55454. Does 58 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 60.5.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 - 4 - ((-1 - -2) + 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 4*b + 2*b + 0*b - b - b + 2*b + b - 5*b + (3 + 1 - 5)*(4*b + 3*b - 6*b) - 2*b - 12*b + 10*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f + 53*f. Put 15, -5, 2\/5, f in ascending order.\nAnswer: -5, f, 2\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30361, 30311, 30179, 29923, 29501, 28871, 27991?\nAnswer: 26819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429 - 411. Factor 2*j**4 - 4*j**2 + 2*j**4 + p*j**3 + 5*j - 22*j**3 - j.\nAnswer: 4*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -25\/4. Let n = 692 + -696. Let y(m) = m + 3. Let h be y(0). What is the nearest to 2 in h, p, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 96385*m**3 - 2*m**2 - 4037*m**3.\nAnswer: -100422*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q + 2. Let t = 4 - 8. Let y(a) = -a**2 - 2*a - 4. Let p(d) = t*o(d) - y(d). What is the second derivative of p(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 11. Let b = -8 - l. Suppose -v + b*v = 20. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.61102 millilitres in litres?\nAnswer: 0.01161102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-14)*-2*(-35)\/(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130830368 by -29.\nAnswer: 4511392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -558*y + 24. Let t(a) = 112*a - 5. Let x(l) = 5*o(l) + 24*t(l). Let u(d) = -3*d. Determine x(u(h)).\nAnswer: 306*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x + 19. Let n be 4*(-3)\/6 - -4. Let q(r) = -90*r + 96. Let m(p) = n*q(p) - 11*h(p). Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 308*y\/3 - 3182.\nAnswer: -2*(y - 111)*(y - 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31187\/15 - 2077. What is the common denominator of c and -8\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*u + 164*u - 24442 = 0. List the prime factors of u.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5 - 3153120*u**4 - 497114592925*u**3 - 1988423687510*u**2 - 2485516208700*u - 994203961000 = 0.\nAnswer: -315310, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5913, 11823, 17737, 23655, 29577, 35503?\nAnswer: 41433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 26. Let w be f(-3). Suppose 17 = -13*p + w. Sort 14, p, 3 in decreasing order.\nAnswer: 14, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28850 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: Collect the terms in 11*w**2 - 7*w**2 - 23*w**2 - 7*w**2 + 3*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (6 + 0 - (13 + -12 + 52)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - 199 - 3729*i**2 + 3735*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1070.\nAnswer: -2\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17848*j**2 + 24*j**3 - 17853*j**2 + 35701*j**2.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-3)\/8)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 237.056 times -14\nAnswer: -3318.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 694911 or 694875?\nAnswer: 694911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - -14.7. Let o = -3402.693 + 3418.7. Let w = o - c. What is w rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.052 (b) -1.71 (c) 0.01 (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1615 = -19*t + 114*t. Put 0, 19, t, 3, 4 in decreasing order.\nAnswer: 19, t, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 37*h**2 - 18*h - 12. Let f = -30 + 14. Let i be q(f). What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 15*v - 12. List the prime factors of h(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/11))\/(m**(-20)*m) assuming m is positive.\nAnswer: m**(219\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = o - 2, -2*p + 2 = -3*o - 3*p. Let s be 3\/(-7)*40\/30. Which is the third biggest value? (a) 2\/13 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15 + 15 + 7*w)*(2*w - 2 + 2) + (0 + 0 - 2*w)*(-w - 1 + 1) + 55*w**2 - 147*w**2 - 85*w**2)*(w**2 + 0*w**2 + 0*w**2).\nAnswer: -161*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 123995*c**4 - 247984*c**4 + 12 + 123988*c**4 - 22*c**2 in the form a*c**3 + z*c**2 + u*c**4 + v*c + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**33*b**(-14))**(-3) assuming b is positive.\nAnswer: b**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65906*y - 14*y**3 - 43*y**3 - 65906*y.\nAnswer: -57*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + 312\/14. Suppose o*a = 26*a - 72. Calculate the highest common divisor of a and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let n(d) = 163115*d. What is b(n(f))?\nAnswer: 53213006450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.1. Let f = 0 + -0.5. Let j be (-2)\/(-4) - 18\/24. What is the closest to j in 1\/5, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 356, 2806, 9446, 22370, 43672, 75446?\n\"Answer: 349*j**3 + j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4610*x**5 - 2*x**4 + 3*x**3 + 22*x**2 + 3236*x wrt x.\nAnswer: -276600*x**2 - 48*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52768 is divided by 538?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.81952842 rounded to 0 dps?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 - 15) + 1 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 296707876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ee + -1?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192866058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16095098+796\nAnswer: -16094302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 255204 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 17, 0.1, -0.36, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -4874991?\nAnswer: 487499.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.5, 2\/37, -3.7 in decreasing order.\nAnswer: 2\/37, -0.5, -5\/3, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -82*o**3 - o**2 + 1075*o - 2150. Determine u(2).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 21*c**2 - 56*c + 1261. Calculate the remainder when r(-19) is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-4) + (-4)\/(-8). Let m = t - 0. What are the prime factors of -2 - m - (-1 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.98 + -4. Let q = d - -0.0225. What is q rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 3*q + 4. Suppose 4*x = 2*a - 16, -6*a = -2*a - 3*x - 22. Let s be h(a). Let o be (4 + 2)*(-1)\/(-3). Solve -o*t - s = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c + 200 = 0. Let h be 8\/c + 4\/(-5) + -71. What is the units digit of (12\/(-5))\/(h\/30 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -18. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l + 9. Let v(x) = -x**2 + 10*x - 12. Let y be v(l). What is the closest to -1 in -5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102000122 + 11?\nAnswer: -102000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*o = 248, -5*r + 392 = -4*o - 0*o. Let d(q) = q + 3. Let w be d(-3). Suppose r = 5*l + 4*p, w*l - 27 = -l - 3*p. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(3\/14))\/d**(-5)*d**(-1\/2)\/(d*d*d\/(d\/d**(2\/23))) assuming d is positive.\nAnswer: d**(745\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1650876 - -237?\nAnswer: -1650638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/9 (b) -53 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30585, -56, 1.\nAnswer: -30585, -56, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 + 3*g + 3. Let u be f(-2). Suppose 2*j + 8 = -r - r, 2*j = 3*r + 2. Let t be 0 - (2*-2 - j). Solve 2*a = -3*h + 15, -a - t*h = 4*a - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-51)\/(-18))\/((34\/170)\/((-36)\/75)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4493901 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**2 + 20. Let i(n) = -21*n. Give i(g(v)).\nAnswer: -84*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(1\/11))\/f*f*f**(-2\/27))\/(f*f**21*f**9\/f) assuming f is positive.\nAnswer: f**(-8311\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 9*d**2 + 11*d - 1. Let c(s) = -s**2 + 10*s - 15. Let m be c(9). What is the units digit of z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 10*y**2 + 2*y + 23. Let d be z(-10). Factor 0*x**3 + 5*x**3 - 5*x**3 + 3*x**3 + d*x**2.\nAnswer: 3*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252 + 252 + 1474*f.\nAnswer: 1474*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/140 and (3\/4)\/((-21)\/((-6237)\/220))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*u*y**2 - 2*d**2*y**2 - 42*d*u*y**2 + 24 wrt u.\nAnswer: -d**2*y**2 - 42*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r - 5. Let o be w(2). Let h(s) = -o*s**3 + 2 + 4*s**3 - 3*s**3. Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59984707 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-15) - 114\/(-20)) + -5. What is the fourth biggest value in o, 2, -0.03, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 629*a + 2727*a + 1885*a**3 - 1881*a**3.\nAnswer: 4*a**3 + 3356*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4\/3*i**2 - 11\/3*i + 1\/3*i**3 + 2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - ((2 - 7) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8637865 (base 9) in base 3?\nAnswer: -22201021222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5 - (-6 - (-90)\/10 - 583) and 375.\nAnswer: 8625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1067*k**3 + 1715*k**2?\nAnswer: -6402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from rpdsrd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 10. Let u(d) be the first derivative of 6*d - 3\/2*d**g - 3. What is the derivative of u(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 15. Suppose -2*v + 7*v - t = 19, -y*v + 17 = t. Suppose -5*d = -8 - 12. Is d <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oel when three letters picked without replacement from eeeeeeoeeeoleoe.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16)*-16 - 0. Let g(z) = 2*z**2 - 5*z - 5. Let k(d) = 3*d**2 - 4*d - 4. What is j*g(q) - 5*k(q)?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.27008kg in micrograms?\nAnswer: 35270080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 + 20*j**2 - 22*j**2 + (-j**2 + 3*j**2 - 3*j**2)*(-4 - 1 + 7) + 6*j**2 - 3*j**2 - 2*j**2)*(1 + 0 + 0).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*s - 2*s**3 - 92 - 176*s - 136*s + 92 + 442*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52e90 (base 16) to base 11.\nAnswer: 212168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -44 (c) -2 (d) 1\/6 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628\/(-314)*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 7, y: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from -622.8119879.\nAnswer: -652.8119879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in microseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4435508 to the power of 1\/2, to the nearest integer?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5383728, 10767457, 16151186, 21534915, 26918644, 32302373?\nAnswer: 37686102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*r + 5*l, 1986*r - 1984*r - 2*l = -18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 135, 205, 275, 345?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109113 and 2381949?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 13 + 8 + 100 + -13 + 27.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -6*g + 16*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 = r, 3*r + 3 + 3 = -d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835083?\nAnswer: 3, 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 8*s + 4. Let x(p) = 2*p - 50. Let y be x(26). Suppose -y*n = -q - 9, 1 = 3*n - 12*q + 8*q. Give g(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*u**5 + 7*u**3 - 846*u.\nAnswer: -1480*u**3 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 860\/258*9\/(-55)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9802*g + 9801*g = -10, 5*g - 50 = 0. Factor 0*n - 3\/4*n**5 - 9\/4*n**4 + 0 + b*n**2 - 3\/2*n**3.\nAnswer: -3*n**3*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -22521.\nAnswer: -22521.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 833763 and 1.\nAnswer: 833764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:01 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*b + 27, -4*b = 2*s - 27 + 1. Suppose 3*r + s*g - 4 = 0, -4*r + 8 = g + 3*g. Let h = -84 - -82. Put h, 0, 5, r in descending order.\nAnswer: 5, r, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.013032 - 0.5\nAnswer: -0.486968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1007551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 85*q**3 - 3*q**2 - 5*q - 3. Let b(g) = 127*g**3 - 5*g**2 - 8*g - 5. Give 5*b(h) - 8*s(h).\nAnswer: -45*h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 985.8 - 986. Which is the second smallest value? (a) 3\/7 (b) s (c) 52 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -4404 - 3870 + 7350 for t.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6 and 453\/(-10)*85\/918.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*l**4*p - l**4 - 131*l**3 - 8*l*p - 3*l + 205 wrt l?\nAnswer: 420*l**2*p - 12*l**2 - 786*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.1008 (b) 1 (c) 8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1509645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4061928 and 21606?\nAnswer: 4061928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 106, 3, 0 in decreasing order.\nAnswer: 106, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25402094, -25402095, -25402096, -25402097?\n\"Answer: -v - 25402093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -2\/9, -4\/7, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let o be x(4). Let s be o\/(-5) - -2*1. Differentiate -4 + s + 14 - 8*t - 2 wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*f + 18, 3*d + 16 = 5*f - 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*x + 161*x + 432 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14114.31638 to the nearest 10.\nAnswer: -14110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 2*s**2 - 31840*s + 31100*s - 4*s**2 + 3*s**2 + 3*s**2 + (0 + 0 - 1)*(0*s**2 - s**2 - s**2) + s - s + s**2 + 1 - s**2 - 1.\nAnswer: 6*s**2 - 740*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*m - 185*m + 3 - 1 + 20*m to the form u + t*m and give t.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*h + 8 = -4, 4 = h. What are the prime factors of (2\/q)\/(1\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(24\/(-16))*(-8)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 8 = 17*v. Does 4 divide 66\/v + 4 + (-51)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*b + 480 = -416*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17355368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.84 + 1.1. Let r = -0.19 + v. Let t = -2.93 - r. What is the biggest value in 1\/4, 1.4, t?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/25245 and -139\/330.\nAnswer: 50490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -41. Suppose -4*z - 2*u - 2*u + 8 = 0, r*z - 1 = -3*u. Suppose -h - 3*s + 103 = 2*s, z*h = 4*s + 370. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -17563 divided by -193.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -530128 divided by -4?\nAnswer: 132532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q, 4*u - 4*q = 8. Suppose 0*x - u*x = -4. Suppose -5*w = x*a - 59, 4*a + w - 78 = -w. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 7, -6, 26 in ascending order.\nAnswer: -6, -4, 0, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + a**2 - 4*a**2 + 2*a**2 + 8*a**2 in the form m + p*a + g*a**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.122 - -76.\nAnswer: 75.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 878*i**2 + 1. Let w be v(1). Suppose -5*s = -56 - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80163015545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -173158, -172766, -172114, -171202, -170030, -168598?\n\"Answer: 130*b**2 + 2*b - 173290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 3, e: 2, w: 1, u: 6}. What is prob of picking 2 s and 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 18347496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04027411 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -3, -2, 0, -9, 5, 22 in descending order.\nAnswer: 22, 5, 0, -2, -3, -9, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*t, -4*t + 2*n - 3 = -15. Suppose -1840 = t*k + 3*j, -2*j - 118 = 2*k + 802. Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 9*k - 10. Let l be r(-7). What is the third derivative of 4*p**l - 4*p**2 - 3*p**2 + 4*p**2 + 0*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:04 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*r + 159*r - 2973. Let n = -848 + r. Put 1, 3, n, -4 in decreasing order.\nAnswer: n, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3260 is divided by 203?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -220687.7327 minus 436?\nAnswer: -221123.7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.9558 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88686?\nAnswer: 2, 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/14909 - -641107\/149090. Find the common denominator of c and (-2)\/(-7) - 100\/56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 11. Calculate i(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 151. Let o = 30 + k. Let p = o - -32.4. What is the fourth biggest value in -2\/5, p, -1, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/2 - 4)*14. Suppose -38 = -3*r + m. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**9\/3024 + y**5\/120 + y**3\/3 + 2. Let g(i) be the third derivative of m(i). Find the second derivative of g(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 2702.\nAnswer: 2702.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5792 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - i + 2 + (-3 + 3 - 4*i)*(-4 - 4 + 2) - 4*i - 2*i + 0*i - i - 2 - 2*i + i.\nAnswer: 15*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v + 5. Let j be w(4). Let p(l) = 2*l**3 + 6*l**2 - 2. Let o(q) = 5*q**3 + 13*q**2 - 4. Let t = 337190 + -337187. What is j*p(x) + t*o(x)?\nAnswer: x**3 - 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*q + 13*q. Solve -4 = q*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -93 in decreasing order.\nAnswer: 5, -0.1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (sqrt(396) - sqrt(396)*2)))**2.\nAnswer: 1500*sqrt(11) + 10525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 10 = -m. Let o(k) = k**3 - 2*k**2 + 4*k - 2. What is the units digit of o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 2*g**2 - 22*g - 2. Let f(j) = 13*j**3 - 9*j**2 + 89*j + 8. Calculate -9*c(d) - 2*f(d).\nAnswer: d**3 + 20*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156606 and 648.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 5*g**2 - 5*g. Let j = 1834 - 1848. Let m(b) = -8*b**3 + 14*b**2 - 14*b. Determine j*f(u) + 5*m(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 - 3*x - 2. Let h be o(-2). Let p(n) be the third derivative of 1\/8*n**4 + 0*n**3 - 1\/60*n**5 + h*n + 3*n**2 + 0. Calculate p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48078 or 48077?\nAnswer: 48078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(121)*2*-4)\/(-3*2*sqrt(1584)*1))**2.\nAnswer: 275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1931048?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 2\/3 (b) 0 (c) 1\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -843 + 987. What is the smallest common multiple of 64 and i?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33314 + -33303. Let u(c) = 10*c**2 - 108*c - 33. What is u(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p\/(p\/(p\/(p\/((p\/(p\/p**19))\/p))))*p)\/p*p*p**(-8)\/p*p)\/(p**(3\/2)\/p*p*p\/(p\/(((p**6*p)\/p)\/p))) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61011 is divided by 30352.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:17 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -444 - -444.1. Which is the nearest to d? (a) -0.31 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/687578 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/((-198)\/435)*4\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahaaehuuxhheah. What is prob of picking 1 x, 2 u, and 1 e?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19661?\nAnswer: 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -19*k + 87 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221310 (base 4) in base 8?\nAnswer: 35164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/42 and -71\/588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8, -1\/6, -3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -44 + (12 - (-1 + 2 - 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) 38 (c) 4 (d) 5 (e) -7\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-2*1)\/(sqrt(12) - (sqrt(12) + -1*sqrt(588) - sqrt(12))).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 26320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6366 + 85*n + 6359 - 81*n.\nAnswer: 4*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 1, q: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1.4113, 1.4?\nAnswer: 1.4113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 51. Let b = -41 + r. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/3 + 4009*z**2\/6 + 35109*z = 0.\nAnswer: -3901\/2, -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, 55, 164, 273?\n\"Answer: 109*m - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5065 - -2695. What is v rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -0.1225?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 1858, 2802, 3750, 4702?\nAnswer: 5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2849522\/1288155 - -1\/39035. Find the common denominator of g and -7\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012 + -11?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133.1339 hours to days.\nAnswer: 47.2139125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1677.3 + 1677. Which is the closest to 2? (a) -12\/5 (b) z (c) 4\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + (-152523)\/(-609996). Let y = 4219079\/1524990 + l. Find the common denominator of 31\/50 and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.34. Suppose 3*c = -v - v - 11, -c = -2*v + 9. Let z = v - 3. What is the nearest to 0.1 in z, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4 + (9*(-4)\/(-18) - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171\/14 + 2329\/154. Let v(q) = q**3 - 4*q**2 - 3*q - 4. Let p be v(3). Calculate the common denominator of g and 4 + -4 - 26\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74468, -148907, -223324, -297701, -372020?\nAnswer: -446263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c + 177. What is b(-24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -409*v - 164*v + 336*v - 3*v + 2*v + 0*v + (4 + 1 - 4)*(-2*v - 3 + 3) in the form z + n*v and give n.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4444?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.096 + -0.576. What is i rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123007267\/151518 - -16\/25253. Let j be -813 + 1\/(-2)*6. Let r = j + u. What is the common denominator of 61\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 9*p**2 + 23*p. Let d be k(8). Let o be (-16)\/104 - (-2986)\/(-26). Let f = o + d. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*q - 131*q = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3\/4 (b) 7943 (c) 3719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2223\/4 at most -556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*d + 65*d - 5947 + 522 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l**3 - 2*l**2 - 6. Let n(y) = -50*y**3 - 12*y**2 - 6*y - 20. Let b(u) = 2*u**2 + 2*u + 1. Let k(p) = -3*b(p) - n(p). Give 6*k(d) + 17*x(d).\nAnswer: 11*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t - 6\/7 + 8\/7*t**3 + 6\/7*t**2 - 1\/7*t**5 + 0*t**4 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocu when three letters picked without replacement from {e: 3, c: 1, u: 4, o: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9548 = 17*g - 22*g, -i = 5*g - 2402. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8) - 45\/6. Let v(d) = -d**2 - 9*d - 7. Let h be v(u). Suppose -x - 30 = -5*x + 2*o, 0 = 4*x - 3*o - 33. Solve k - 3*l = -l + h, k = l + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9760 - -204961\/21. Let f(t) be the second derivative of 0*t**2 - 1\/15*t**6 + 2\/3*t**3 - c*t**7 + 0 + 3\/10*t**5 - 12*t + 5\/6*t**4. Solve f(s) = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 85 = x, 0*x - 2*x = 4*z - 174. Solve -51*b + 8 = -z*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 3*b - 18036 + 18039 - b**3 - 3*b**4 to z*b**2 + a + c*b + t*b**3 + q*b**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*l - 144, 2*w - 14 = -2*l + 130. Suppose -5*v + 2*v = l. Let a = v - -51. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 32. Solve -f = 5*t + 2*a, a + 3*a + 7 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3297540 by 109918.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.408 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*s + 408 - 413, -2*j - 2*s - 2 = 0. Solve j = 4*v + 1727 - 1699 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilc when three letters picked without replacement from diddcdddliddiici?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137848 divided by 2.\nAnswer: 68924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 47 = -17. Let v = -13 + 6. Let k = v - c. Solve 11 = -5*x + k*g, 2*x - 4*g + 17 = -7*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**3 + 18*o**2 - 28*o - 44. Let s(z) = 4*z**3 + 17*z**2 - 26*z - 42. Let a(t) = -3*p(t) + 2*s(t). Find b such that a(b) = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*s - 17 - 38 = -5*u - 38, -u - s = 4*u + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -599, -587, -569, -545, -515, -479?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-46*x + 1 - 1 - 46*x + 290*x).\nAnswer: -198*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 7*i**2 + 4. Let r be f(7). Solve 0 = -5*o - 5, r*x - 2*o = -o - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:16 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let r be 0\/(((-6)\/(-1))\/(-3)). Suppose r = m - h. Solve -4*z = -m*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*n**4 - 3*n**3 + 3*n**2 - 135112*n?\nAnswer: -3612*n**2 - 18*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsssshhshshh. What is prob of sequence hh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(128) - (-6*sqrt(128) + 4))*-4 + sqrt(128) + -5 + sqrt(128) + -1 + (sqrt(128) - -5*(sqrt(128) + sqrt(128) + -2))))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*i - 24, 2*l - 21*i + 25*i = -2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1017 + 1071 = 0, -i - 3*i - 36 = 44*z - 0*i - 2*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366674 is divided by 52340?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**5 - 23420*v**4 + 93790*v**3 + 140460*v**2 - 843705*v + 632880 = 0.\nAnswer: -4688, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 6*a**2 + 7*a - 6. Let q be k(4). Suppose 0 = -16*f + 310 - 518. Let v = f - q. Sort 0, 2, v in ascending order.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose z*y + 14 = 5*y. Suppose y*o = 4*s + 3*o - 40, -o = 2. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1378110 divided by -19410.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 15) in base 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (42395 - 42395 - 723*z)*(-1 + 1 + 1) - 3*z + 2*z - z + 35 - 35 + z as f + u*z and give u.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*(-1 + 2). Let y = s - -8. Suppose 3*f - 7 = 5*u - 31, u + 3*f + y = 0. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from ttmtmcot.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 17*v**2 - 266*v - 38. Determine j(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**3 + i. What is m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t - 1. Let x be y(-1). Let h = 20 + x. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2537.092 times -6?\nAnswer: -15222.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:29 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 19*s + 40. Let y be t(19). Suppose y = 13*k - 9*k. Let i = -6 + 46. Calculate the greatest common divisor of i and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5363823*w**6 - 35*w**2 + 214115.\nAnswer: 643658760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 9. Let d be q(0). Let i(o) = 12*o**2 + 14*o - 5 - 3*o**2 - 10*o**2. What is the tens digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 612 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 0.02 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/36, -0.4, -0.3, 4\/3 in descending order.\nAnswer: 4\/3, 0.1, 1\/36, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (348\/(-58) - (-11 - -1)) - 949. Round q to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 11*f - 5598 + 5661 = 0, -k + 3*f - 13 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17142 (b) -3 (c) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252099 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1188\/88)\/((-36)\/(-80))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(16\/(-64))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j - 69. Give v(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 3*b - 553. Let j be v(-22). Let p(d) = -d + 1. Let c(q) = -3*q**2 - 11*q + 4. Let o(u) = c(u) - 4*p(u). What is o(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13398715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*c = 16 + 1, -2*g - 5 = -c. Let o(l) = -6*l**3 - 4*l**2 + 2*l + 1. Let a(t) = t**3 + t**2 - t. Let k = -5 - -1. What is g*o(p) + k*a(p)?\nAnswer: 2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701, 674, 593, 428, 149, -274?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6131 (base 7) in base 15?\nAnswer: 96e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220010121111221 (base 3) in base 5?\nAnswer: -11240410143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10*s**3 - 2*s**3 + s**3.\nAnswer: 9*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 25*t\/2 + 126.\nAnswer: (t - 36)*(t - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - 1*sqrt(66)*4)\/(sqrt(6) - 6*sqrt(6)*-2).\nAnswer: -3*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + n - 20 = 0, -b - 2*n = -2 - 2. Let r(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - 5*v**3\/6 + v**2. What is the units digit of r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**4\/12 + 2*x**3\/3 + 2*x**2. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2 - 1 - 0. Suppose -140 - 28 = -2*q + a*i, 3*q - 5*i - 256 = 0. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 32691?\nAnswer: 326910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 + 46*q + 2*q + 1963*q**4 - 58*q wrt q?\nAnswer: 23556*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 26 = -13*l. Find the third derivative of 45*u - 27*u**4 - 93*u + 48*u + 32*u**l wrt u.\nAnswer: -648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333760193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1875)\/96*1278\/(-15). Let u = 1665 - b. What is the common denominator of -101\/2 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/(j\/(j\/j**19)))\/((j**29\/j)\/(j*j\/(j**(-6)*j))))**(-30) assuming j is positive.\nAnswer: j**1210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1373 and 56671948.\nAnswer: 56671948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/(6\/24). Suppose -3*i - 4*w + 4532 = -x*w, -w = 5*i - 7554. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(7*90\/280)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 7*y**2)*(2*y**2 - 2*y + 2*y) + (y + y + 0*y)*(-68*y**3 - 42*y**3 + 53*y**3) + 7*y**4 - y**4 - 4*y**4.\nAnswer: -108*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*-1)\/sqrt(4))\/((-2*sqrt(64))\/sqrt(8) + sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -0.276, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 19*h**2 + 22*h + 42. Let w be l(-20). Let c(q) be the first derivative of -315*q**3 - 1 + 314*q**3 - w. Factor c(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 4. Solve 0 = -h*j + 1 - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u - 1426 + 11*u - u**3.\nAnswer: -u**3 - 1426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-5\/4)*r**(2\/3)*((r*r\/(r\/(r**(-3\/2)*r)))\/r)**(-6\/11) assuming r is positive.\nAnswer: r**(421\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from fnnyyfyuufuaa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 1, k: 12, b: 3, z: 1}. Give prob of picking 1 x, 1 k, and 1 z.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h*h)\/(h*h**6)*(h**(-2\/9))**(-3\/8)*h**(-2)*h*h**(-2\/13)*(h\/(h\/h**(2\/3))*h)\/(h*h**7\/h*h) assuming h is positive.\nAnswer: h**(-385\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -66. Let v = -32 - t. What is the least common multiple of 14 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4*y - o**4 - 5335*o**3*y - 2*o**3 + 2802*o**2*y + o*y - 3*y wrt o?\nAnswer: -24*o*y - 24*o - 32010*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94b57 (base 12) to base 10\nAnswer: 195187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + h**4 + (5*h**2 - 2*h - 3*h**2 + 0*h**2)*(-4*h**2 + 3*h - 3*h).\nAnswer: -7*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*q - 373*q + 14239 = 378*q - 14086 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -923, -2141, -3909, -6263, -9239?\nAnswer: -12873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -25?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -7. Let w = 76 + i. Suppose 8*o = 4*o + w. Solve 0 = 4*z - 3*q - o, -z = -3*q - q - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 20, 59, 136, 263, 452?\n\"Answer: 2*b**3 + b**2 - 4*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t**2 + 3*t)*((0 + 2*t - 3 + 2)*(-15 - 2 + 1) + (2 + 4*t - 2)*(0 + 3 - 18)).\nAnswer: -184*t**3 + 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t - 9 = -49*t. Suppose -2\/7*v**5 - 2\/7*v**t + 0*v**2 + 4\/7*v**4 + 0*v + 0 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22937352 and 0.7?\nAnswer: -16056146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24013315 divided by -121895?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 3 + -1 + (sqrt(637) - -1*sqrt(637))**2 + 4)*-5.\nAnswer: 63875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-2) + (-14 - -1) + 3*(-117)\/(-26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 10 + 20. Let k be (-2 + (-2 - x))*(24 + 0). Which is smaller: k or 26?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(sqrt(35)\/sqrt(7) + 2 + 1)*-4 + -4)*2.\nAnswer: 24*sqrt(5) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 = -151. Suppose -a - 4*a = -f. Let p(z) = -3*z**2 - 32*z - 23. Let w(y) = -y**2 - 11*y - 8. Let u(j) = a*p(j) - 17*w(j). Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-443)\/2215 + 4\/10*170058 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.78 * -0.16671.\nAnswer: 1.4637138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2681, -5368, -8055?\n\"Answer: -2687*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*s - 22 = 0, -6 - 27 = -3*p - 4*s. Suppose 3*d = p + 34. Let l = -1 + 7. Calculate the highest common divisor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 20301499.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/(3\/15). Let p(v) = 0*v**k + v + 3*v + 2*v**2 + 2. Calculate the remainder when p(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5449713393.18788979 + 5449713255. Let f = -145.687891 - b. Let k = 7.5 + f. What is k rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 626 = -17*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -690? (a) -2 (b) 0 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26 + 0 = 2*x, 63 = 4*v - 3*x. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - f - 14 = 4*f, 2*f - 10 = -4*m. Let l be m\/((18\/4)\/3). Suppose -11*y = 1959 - 2003. Solve -y = 3*a - l*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 6. What is b(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8096 < -8096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -63. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - 2 - -2. Let m(i) = -7*i. What are the prime factors of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from sstsssssssssssssss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/317618 and 59\/74543?\nAnswer: 7305214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -496 + -5?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (135\/(-12)*336\/(-18))\/(-1). Let k be (s\/(-63))\/(4\/6). List the prime factors of 334\/8 - k\/(-20).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 984 and 3839466?\nAnswer: 629672424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 6660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x + 176 = 4*b + 71*x, 0 = 5*b + 3*x - 220. Let s = -103 + 191. What is the least common multiple of b and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*y + 5 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413334, 413710, 414346, 415248, 416422, 417874, 419610?\nAnswer: 421636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -92, -94, -96, -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 95013 (b) -209\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 213. Let s = -40 - l. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/7, -10, 4, 3, 555?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0, -9, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03273465 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0367 + -0.3367. Which is the smallest value? (a) n (b) -3 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*o - 91 - 54 = 0, -2*o = -2*y + 280. Let u = -132 + y. Solve 0 = -u*h - 0*i + 4*i - 24, h + i + 1 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -20?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15341361 by 57.\nAnswer: 5113787\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.35 + 1.65. Let a be (-1)\/(-3)*2\/3. What is the closest to a in 2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 594 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 171?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 6. Let b(j) = -j**2 - 4*j + 7. Calculate the remainder when i is divided by b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**5 + 0*l**4 + 0*l**6 - 122\/3*l**3 + 64 + 0*l**2 - 114\/7*l**7 + 0*l. What is the third derivative of k(c) wrt c?\nAnswer: -13680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1339)\/26780)\/(((-13)\/5 - -3)\/(-3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*a + 27, l - 12 = -l - 2*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 820*n + 25896 = 0. What is n?\nAnswer: 39, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011101 (base 3) to base 12\nAnswer: -5a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 410296682 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Let g(p) = -50*p - 349. Let f be g(-7). Let a be (-34)\/((1\/f)\/(49\/(-98))). Solve -z*k + a + 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300932844559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462140851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25922084, -51844166, -77766248, -103688330?\n\"Answer: -25922082*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/10)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7143*y**2 + y - 14. Let h(m) = 6*m + 4. Let d be h(2). Suppose 2*l + d = 3*b, 5*l - 23 = b - 89. Let w be f(l). Round w to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (-128)\/(-68). Which is the third smallest value? (a) 5 (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5476 - 5471. Let a = -0.2 + 0.25. Put a, -2\/7, 3\/2, p in ascending order.\nAnswer: -2\/7, a, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f + 2. Let y be a(2). Let s be ((72\/(-14))\/6)\/(y\/14). Find r such that 7\/4*r**3 + s*r + 3*r**2 - 1\/2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 86 = 6. Let n = s - -37. Calculate the remainder when 41 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 23 = 15. Suppose 0 = -2*t - n - 2 + 29, 58 = 4*t - d*n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3942)\/4380)\/((-1)\/20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/((-594)\/1386)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 8*s**3 + 5*s + 0*s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.4 (c) 1 (d) -0.027 (e) -2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -5 + 6 - (3 + (-3 - -3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**(1\/24)\/(d**(-1\/7)*d**0*d))**(-50) assuming d is positive.\nAnswer: d**(7375\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181845154.\nAnswer: 2, 6311, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5220*t + 10 = -5222*t, -40 = -5*x + t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9) + 470\/(-660). Sort -3, 0.4, l, -0.1 in decreasing order.\nAnswer: 0.4, l, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t - 4*t - 9 + 9*t + 0 + t**2. Calculate the smallest common multiple of 6 and o(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 40*d**4 + 6*d**2 + 19*d - 235. Let p(o) = 39*o**4 + 8*o**2 + 22*o - 236. Let h(s) = 3*p(s) - 4*z(s). Differentiate h(r) with respect to r.\nAnswer: -172*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 9*q**5\/4 - q**4\/12 + q**3\/6 + 6*q - 5. Let t(x) be the first derivative of s(x). List the prime factors of t(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*k - 16*k**3 + 28*k - 92*k - 26*k.\nAnswer: -16*k**3 - 181*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542510 + 3?\nAnswer: -542504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**6 - 83331939*r**4 + 35756109*r**2 wrt r.\nAnswer: -120*r**3 - 1999966536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 2. Suppose -5*w = -3*h + 16, 4*h = -4*w + 29 + 3. Let x be (0 - -7)*3\/h. Let t be o(x). Solve 2*l = -3*n - 4, -t*n = -2*n - 4*l + 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8 - 11 - 17 - 3*v - 10. Let w be k(-12). Solve -4*t + o = 19, 0 = o + o - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 1)*((-2 + 2*v + 2)*(-v - v + 4*v) + v**2 - 4*v**2 + 2*v**2 - v**2 - 3*v**2 + 2*v**2).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d. Let t(f) be the first derivative of -581*f**3\/3 + 7778. Give t(x(n)).\nAnswer: -167909*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 74. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 1 + 0 + 0 - x**3 - 3*x**2. Suppose -10 + 30 = -5*a. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 + -197. Let k be ((-6)\/(-8))\/(1\/68). Let i = k + x. Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -82*u - 1310. Let c be n(-16). Which is smaller: -3540 or c?\nAnswer: -3540","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r + 0 + 1\/6*r**3 + 4*r**2. Let w be y(7). Solve 2*j + j = w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37 + -63393052 - (-21 - -6). What is v rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 28. Let g = 14 + i. Calculate the remainder when 19 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -69. Let g(p) = p**3 + 12*p**2 - 4*p - 4. What is the units digit of g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114573.\nAnswer: 3, 181, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93831 > 93833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*h + 18*h**2 + 134*h + 2*h**2 - 17*h**2 - 82*h + 6*h**2.\nAnswer: 9*h**2 - 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/16 - (-1)\/4. Let t = h - -2. Suppose 4*l = -t*u + 36, -2*u + 4 = l - 6*u. Calculate the remainder when 15 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/11 + 48*p**4\/11 - 298*p**3\/11 + 716*p**2\/11 - 720*p\/11 + 256\/11 = 0.\nAnswer: 1, 2, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let i(w) be the second derivative of 15*w**4\/2 + w**2 - 205*w - 2. What is o(i(l))?\nAnswer: 90*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 12318*l - 61637. Calculate n(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128612 and 948.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 6 - 9 - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*h - 2*h - 5146, 0 = -h - 4*y + 1719. Suppose -11*q + 23 = -h. What is the remainder when q is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 2*m + 1\/2*m**2 + 1\/3*m**3 - 1\/4*m**5 + 1\/6*m**4. What is the units digit of f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -74.5, 2\/7, 1\/10, -106.8, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 2 - h + 6*h**2 + 4*h**2 - 14*h**2 + 2*h**4 as s*h**2 + w*h**4 + f + y*h + q*h**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/242 + 228\/44. Solve -x - 5*g - 74 = -56, g = -w*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12212310 - -331?\nAnswer: 12213301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 - c**2)*(0*c + 3*c + 0*c) + (19*c + 8*c + 17*c - 3 - 2*c + 3 + (-5 + 1 + 5)*(2*c - 3*c - c))*(3*c**2 - c**2 - 4*c**2).\nAnswer: -86*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -364, -365?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(7\/2))**14)**27 assuming s is positive.\nAnswer: s**1323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 4836?\nAnswer: 145080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2198*j - 555000 = -9698*j for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 + -0.42. Is 190 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*n**2 + 15\/2*n - 10.\nAnswer: -5*(n - 4)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*b**3*z**3 + b**3*z - 3*b**3 - 472*b**2 - 3*b*z - 151*z**4 - 3*z wrt z?\nAnswer: 540*b**3*z - 1812*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72962948?\nAnswer: 2, 739, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 40991676.3593\nAnswer: -40991676.5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -11.1. Let r = s - -0.9. Let w = -6.326 - -8.526. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12198)\/3 + -2 + 4. Let g = 6524 + f. What is g rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008779 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001395047351 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -159, -226, -277, -306, -307, -274, -201?\n\"Answer: w**3 - w**2 - 81*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 1. Suppose -i*u + 6 = -0. Solve 7\/4*s**u + 1\/4*s**2 - 1\/4 - 3\/4*s - s**5 + 0*s**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.1? (a) 5 (b) 2\/3 (c) -11 (d) 1254\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(8\/5)*y*y*y*(y\/y**(-1\/7))\/y*y*y)\/(y*y**37*y)**(9\/4))**34 assuming y is positive.\nAnswer: y**(-192797\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 - 3*u - 6. What is h(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)\/((-50)\/30). What is the closest to -11 in -1, z, -0.1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2) + -3)\/(10\/(-225)*-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 26. Let u be (-6 + n + 2 - 562)\/(-1). Let v = -328 + u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - t = 14, 5 = 5*f - t + 23. Does 8 divide (-4 - f) + 42\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 divided by -3?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 137639 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.608926 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 15527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23331 = d - 3*h, -60*d = -55*d + 3*h - 116763. Calculate the greatest common divisor of 181 and d.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183118*n - 1050 = 183193*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5969 divided by 1.\nAnswer: 5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 8*c = 20. Suppose c*f - 274 = -74. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13700 - 13374. Solve 4 = -w*n + 325*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 0.839?\nAnswer: 4.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130) - (sqrt(130) + -3*sqrt(130))))\/(sqrt(10) + sqrt(10) + sqrt(360) + sqrt(360)*2).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 2. Suppose 13*v - 18 = 7*v. Suppose 3 = -m - 0, 2*m = -v*w + 9. Let b(t) = -4*t + 2. Calculate w*x(h) - 6*b(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**7*n\/(n*n*n**(-3\/2)\/n))**(-50))**(-3\/4))**(-4\/5) assuming n is positive.\nAnswer: n**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 829*z + 20390 + 335 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + -188. Let l = -137 - q. Suppose 0 = 2*g - 4*h + 8*h - l, 4*g - 2*h = 194. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 2. Determine d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 14. Suppose n = 2*k + 3. Suppose k*v - 4 = 0, 2*m + 5*v - 1 = m. Let z(u) = u**3 + 3*u**2 - 2*u. Determine z(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 5. Suppose p*z - 11 - 9 = 0. Calculate the smallest common multiple of 8 and z*3\/6*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 0*b**4 - 3*b**4)*(-3 + 6 + 3)*(2 - 2 - 1).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -1. Let y = l - -0.2. Let b = 2.8 - y. Is b bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*p - 64 - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21445?\nAnswer: 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 + 38*q**2 - 3*q. Let p(f) = 5*f**3 + 39*f**2 - 4*f. Give -4*g(z) + 3*p(z).\nAnswer: -z**3 - 35*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -69. Let l = 51 - j. Let w = 21.04 - l. Round w to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 31 = -3*d, 4*d - 8 = -82502*r + 82504*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134438.\nAnswer: 2, 67219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-28)\/(-63))\/((-50)\/(-450)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50234 + -5123761\/102. Find the common denominator of a and -59\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.76 + 0.597. Round p to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from {d: 1, o: 7, h: 9, k: 2, z: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -4*v - 236 - 144, -48 = -4*q - 2*v for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(54\/(-28)) + 2)\/(2360\/885). What is the biggest value in 5\/2, g, -2\/3, -1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -52 + (14 - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.75 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 405 and 790?\nAnswer: 63990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -319*-1*(-19 + (-6330)\/(-330))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -29. Let a be x*-14*3\/48. Is 1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10 - (-2 + -11)) - -21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -3739\nAnswer: -329032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 54*t = -31*t + 70*t + 448 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((4\/(-4) - -2) + 132)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t**(3\/2)\/t)\/t*t)))\/t**(-1\/2)*t**1*t*t**(-2) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:11 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**6\/75 + 14*p**5\/25 + 131*p**4\/15 + 308*p**3\/5 + 1089*p**2\/5 - 34*p. Factor i(o).\nAnswer: 2*(o + 3)**2*(o + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/8 - 9961569*c\/4.\nAnswer: c*(c - 19923138)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1078 + -1.5896. Let f = -1.68 - c. What is f rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78672993, 78672987, 78672981, 78672975, 78672969?\n\"Answer: -6*w + 78672999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -32 + 34 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/3 - 395444*q**2\/3 + 4*q\/3 + 1581776\/3 = 0.\nAnswer: -395444, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -5*n, -3*p = -p - 2. Suppose z + 2*z - 18 = -l, n = -2*z + 5*l + 29. Suppose 4*o + 3*m = 3*o + z, 4*o = -5*m + 35. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 67 + 13*k + 34*k as j*k + u and give j.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**5 - 212*r**4 + 7*r**3 + 2941*r**2 - 3?\nAnswer: 180*r**2 - 5088*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 31*a**2 - 59*a**2.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2596734*s**3 - 4827459?\nAnswer: 7790202*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 897*t - 297 + 593 + 192*t - 295 - t**4 + 110*t as j*t + u + r*t**2 + v*t**4 + b*t**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(13) - (-4*sqrt(13) + -1))**2 - ((3 + sqrt(65)\/sqrt(5))**2 + 5)).\nAnswer: -1495 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 5. What is y(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -0*c, -2*c = -3*n + 7. Suppose 2*y + o = 15, 0*o - o = -n. Suppose -3*t + 11 = 8. Solve -t = y*f - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 18 = 2*a. Let v = a + -9. Let z = 2\/31 - -23\/124. Are z and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.83366 and -0.14.\nAnswer: -10.97366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235 + 4*w**4 + 2*w**4 + 233 with respect to w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-33) + (-570)\/2530)\/((-20)\/(320\/(-24))).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {r: 2, b: 1, g: 4, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.9. Let h = 0.1 + f. Which is the closest to -1? (a) -2\/23 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327290 is divided by 237.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14140929 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 20*k + 23. Let q be o(-11). Let z(w) = 8*w**3 - w**2 + 2*w - 1. Give z(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -200*c**3 - 131*c**3 - 7*c**2 - 3*c + 330*c**3 + 7. Let n be (-2 - -1)\/(2\/(-24)). Suppose 0 = 3*q + n + 6. Give g(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -313, -1215, -2987, -5923, -10317, -16463?\nAnswer: -24655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 + 12*k**2 - 25*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = c + 3*l, 0 = -10*l + 6*l + 16. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 29 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.95 + 0.45. Let i = g + -6.40000039. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3394448503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 6*h**2 - 4*h**2 + (3*h - 3*h + 3*h)*(-9 + 9 + 71*h).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8085 + 8117. Calculate the highest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Suppose i - 2 = -2*y, y = l*y + 5. What are the prime factors of -2*147\/(-6) - i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 38. Suppose -y = -2*t - 8, -5*t + 4*y = 5*y + c. Let z = 4 - t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*o - 35 - 110 = 0, j - 25 = -5*o. Let n be j\/(-12) - (0 - 3). Let d = 1 - 1.3. What is the third biggest value in 0, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/((720\/15)\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let s(w) = 5765*w**2. What is z(s(o))?\nAnswer: -5765*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u + 72. Let p be n(8). Solve -18*g + 26*g + p = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -114*n + 1\/3*n**2 + 341\/3 = 0.\nAnswer: 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, l: 2, u: 3, h: 2, b: 3}. What is prob of picking 1 l and 2 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(1\/9)))**(30\/13))**(-1\/3))**(-15) assuming i is positive.\nAnswer: i**(-50\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = -5*w - 22*c + 15, 5*w + 5*c = -55. Let p(g) = 3*g - 3. Let t(d) = -4*d + 3. What is w*t(n) - 5*p(n)?\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -26*i + 2*i - 1 + 14*i + 12*i + i**2 + 5*i. Suppose 0 = 3*g - 2*g - 2. Let f be 0 - (g + 1) - 1. Give y(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/285*3\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102465151 less than or equal to 102465151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41360)\/(-385) + -108)*(0 + 28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 52, 99, 152?\n\"Answer: 3*v**2 + 32*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) 1.7 (d) -77 (e) 5 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*s**3 - s + 2*s**2 - 27*s**3 - 2*s**2 wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 35806*l**3 - l + 3*l + 35802*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/360 - -5\/72. Let x(r) be the second derivative of 3*r + 1\/12*r**4 - k*r**5 + 0*r**3 + 0*r**2 + 0. Find the third derivative of x(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/7 - 616296*u\/7 + 47477594952\/7 = 0. What is u?\nAnswer: 154074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + y - 3, y = -3*d + 3. Let r(m) be the third derivative of 1\/24*m**4 + 0*m + d + 1\/6*m**3 + m**2. Differentiate r(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 40 = -5. Let t(v) = v**2 + 15*v + 15. What is the tens digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -3, -39934, 0, -5 in descending order.\nAnswer: 2, 0, -3, -5, -6, -39934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 129317281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584136.7 centimeters in millimeters?\nAnswer: 5841367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -52. Let m(y) = -21*y**3 + 9*y**2 - 17. Let q(c) = 7*c**3 - 3*c**2 + 6. Let v(o) = i*q(o) - 6*m(o). Find the third derivative of v(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19373*b - 38743*b + 19374*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z*z**(-2)\/z)\/(z*(z*z**(-2\/3)*z)\/z)**(-3\/8))**(-25) assuming z is positive.\nAnswer: z**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 995a3 (base 11) in base 12?\nAnswer: 6b72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 18891)*(-216)\/(-864)?\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 + s**2. Let l be u(1). Suppose -a + 3*a + l*f = 4369, 0 = 2*a + 2*f - 4360. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n + 2. Let t be o(-6). Suppose 0 = a + q - 3*q - 26, -t*a + q = -37. Let f = 17 + a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399818011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1148)\/205*11\/(-539))\/(1*2\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**2 + 2*z + 1. Let i(c) = -61*c**2 - 11*c - 5. Let t(n) = -2*i(n) - 11*l(n). What is the derivative of t(f) wrt f?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/45*-1963 - 14\/105. Let h = g + 133. Solve 5*c - 3*c = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 154. Suppose 5*c = 2*r - 30, -9*c + 5*c = -p*r + 75. Solve r*i = 10*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/(sqrt(252)\/sqrt(4)))\/(sqrt(35)\/(3*sqrt(45))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*l**3 - 5*b**2*l - 16*b**2 - 2*b*l**3 - 25*b*l + 4*b + l**3 wrt b.\nAnswer: 4*l**3 - 10*l - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -133054 (base 9) to base 8\nAnswer: -236110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*k + 29 = 7*k, -v - 2*k = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*j + 160. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17)**(1\/2) assuming j is positive.\nAnswer: j**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.11, -0.012, 124?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 396766030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 59, 44, 13, -40, -121, -236?\n\"Answer: -n**3 + n**2 - n + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6112 - 2486. What are the prime factors of s?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((0 + sqrt(1700))*-6)**2 - (sqrt(1700)*2)**2*-6).\nAnswer: 612000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -z + 1, 3*z = -3*y + 17 + 4. Put -3, z, -35 in decreasing order.\nAnswer: z, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 4*s + d, 4*s + 97 - 15 = 5*d - 15 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*v - 72 = 0, 3*v - 44 = -n - n. Suppose 5*l - l - n = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05337 + -1798.85337. What is z rounded to the nearest 10?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1c55 (base 13) in base 8?\nAnswer: -1156002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 2. Let k(o) = -9*o - 11. Let q(b) be the third derivative of -b**4\/6 - 5*b**3\/6 - 2971*b**2 - 3. What is l*k(h) + 5*q(h)?\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*q - 2*m - 1, -q = 3*m + 8. Let a be -2 - (-190)\/4 - q\/2. Let b = 11 + 4. What is the highest common divisor of b and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5035*k*n**3 - 974*n**3 - n**2 with respect to k.\nAnswer: 5035*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 6. Suppose -b = 1 - l. Let d = 1092 - 1091. What is the least common multiple of b and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 388.\nAnswer: -2, 3, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v - 1\/2*v**6 + 0*v**3 + 0 + 32\/15*v**5 - 6\/35*v**7 + 151*v**2 - 2*v**4. Factor u(w).\nAnswer: -4*w*(w + 3)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2.9, -0.1, 0 in decreasing order.\nAnswer: 1, 0, -0.1, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/16649 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153207 and 1539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.83556 millimeters to meters.\nAnswer: 0.08483556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 1. Let w be -2 + 3 + -4 + 0. Let z be y(w). Suppose 5*k - 3*f + 14 = 0, z*k + 3*k + 24 = -2*f. What is the second smallest value in 3, k, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)*-2*4)\/(sqrt(1200) + (-4*1*sqrt(1200) + sqrt(1200) - sqrt(1200))).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/4 (b) 2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2312\/19*x**2 - 656\/19*x + 108\/19*x**3 + 578\/19*x**4 + 14\/19*x**5 + 0 = 0.\nAnswer: -41, -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.63678 millennia to centuries.\nAnswer: 16.3678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*c - 157*c = 49 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(1331) + sqrt(1331) + 4))**2.\nAnswer: 13200*sqrt(11) + 1198300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t**2 - 4*t - 2. Give x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from ezyhyzy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*111.697\nAnswer: 55.8485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 - 20*c**4 - 60*c**4 - 11*c**4 - 2*c**4 - c**4 - c**4 + (0 + 0 + c)*(c**3 + 0 + 0) in the form d*c**3 + w*c**4 + a*c**2 + p*c + z and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, r: 3}. Give prob of sequence rrzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 193*o**2 - 34*o + 5. Let w(y) = 194*y**2 - 41*y + 8. Give -3*n(x) + 2*w(x).\nAnswer: -191*x**2 + 20*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/29838 and 1\/366?\nAnswer: 1820118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1728 = 295*d - 301*d. What is the greatest common factor of d and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**2 + 30*m + 90. Let t(g) = g + 3. Let h(x) = -2*s(x) + 60*t(x). Let q(j) = 26*j. Give h(q(f)).\nAnswer: 8112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355822, -354453, -353084, -351715, -350346?\nAnswer: -348977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2111?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -770 + 789. What is the remainder when 201 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = -2*t + 472810. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9106793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l + 5. Let t be (10*7\/(-56))\/(1\/4). What is m(t)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/4 - 636*y**3 - 744263*y**2\/2 + 41167644*y - 4189843441\/4 = 0.\nAnswer: -1321, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 30*t**3 + 142*t**2 - 210*t.\nAnswer: 2*t*(t - 7)*(t - 5)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 443, 882, 1319, 1754?\n\"Answer: -n**2 + 442*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2500*l - 9. Let r(w) = -1240*w - 4. Give -6*b(q) + 13*r(q).\nAnswer: -1120*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 20*p - 300 = 15*p + 20*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, 3, 645, 0.\nAnswer: -67, 0, 3, 4, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.27 + 0.3. Let j = 1.2 - -0.8. Let f = 2.4 - j. Sort f, z, 0.3 in increasing order.\nAnswer: z, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16745 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5125867 and 5.5.\nAnswer: -5125861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9207 and 3215.\nAnswer: 6175.0505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -i - 2*i + 549, -4*v = 5*i - 732. Suppose -5*d - v = -6*d. What is the remainder when d is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i + 6. Let f be c(4). Let t(n) = n**2 - 7*n + 6. Calculate t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*n*t**3*z**2 + n*t**2*v*z**2 + 89*n*t*v + t**3*v*z**2 + 9*t**3*z**2 - 2*t**2*v*z + z**2 wrt t.\nAnswer: 90*n*z**2 + 6*v*z**2 + 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13850.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7318852s in days?\nAnswer: 0.000239952375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.5 - 29.5. Which is the nearest to 2? (a) i (b) -5 (c) 6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xddk when four letters picked without replacement from {x: 2, k: 2, d: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 0.3 (c) 23 (d) 26 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341*k*u*z**3 - 64*k*u*z + 2*k*u + 3*k*z**3 + 2206*u*z**3 - 5*u*z**2 + 1384*u*z + 3*z**3 + 7*z**2 wrt z.\nAnswer: 2046*k*u + 18*k + 13236*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 103*n**2 - 1133*n - 335. Give d(-113).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1725, 6869, 15435, 27423, 42833, 61665?\nAnswer: 83919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 10*u - 1015 = -2*t, -5*t + 1344 = 4*u. Let q = 751 + u. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568808793.\nAnswer: 937, 1674289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-19)*(b\/(b**(-1\/3)*b))\/(b**5*b)*(b\/(b\/(b\/(b**(2\/3)*b)*b)))**(-2\/57)*b**(1\/9)\/(b*(b*b\/(((b*b**(-3)\/b)\/b)\/b))\/b) assuming b is positive.\nAnswer: b**(17\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1260\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/10 - h**4\/6 + h**3\/3 - h**2\/2 - h. Let p be ((-4)\/10)\/(13\/(-130)). Suppose -8 = -p*r - 4. Determine n(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 7)\/((-40710)\/264615).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, g: 2, z: 1, o: 2}. Give prob of sequence np.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + (7 - 4) + -13 + 44 + -25.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, q: 5}. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 140434543 (base 6) to base 5\nAnswer: 1211213143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1296\/(-600))\/27*-20)\/(((-12)\/165)\/(-4))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**13*b\/(b\/(b\/(b*b\/(b\/(b*(b*b\/((b**(-10)\/b)\/b*b*b))\/b)))))*b**(-1\/8)*b*(b*b*b\/((b\/b**(-10))\/b*b*b))\/b assuming b is positive.\nAnswer: b**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.5. Let m = 0 + -7. Let x = m - -2. Which is the closest to -1? (a) 5 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -0.2, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49269 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -7094165.\nAnswer: 11\/7094165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-5))\/(3\/(-15)). Let x be (0 - -15)*(-100)\/c. Let b = -107 + x. What is the biggest value in b, -0.2, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -29. Suppose -3*i + j = -0*i. Is i less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 6. Let v be u(6). Let g = -11 - v. Let p be (-2349)\/5 + 1\/g. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2. Let j = 46 - 49. What is l(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549 and 13683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -726987 + 726968.99993. Let z = n + 18. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242284256 minus -0.4?\nAnswer: 1242284256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 799*v**2 - 85*v - 85. Let a(r) = -19*r**2 + 2*r + 2. Calculate -85*a(q) - 2*b(q).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -96 and -6333?\nAnswer: 6237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28937045851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1048807 by -5.\nAnswer: -1048807\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(91) + sqrt(91) + -5*(sqrt(91) - (sqrt(91) + sqrt(91) + -1*sqrt(91) - sqrt(91))))\/((sqrt(700)*-1 + sqrt(700))*-5 + sqrt(700)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(176))**2 + -5).\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + sqrt(11) - sqrt(11))*2 - sqrt(11)) + -1)**2 - (-1*sqrt(66)*-4)\/sqrt(6).\nAnswer: -18*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -167257 (base 9) in base 2?\nAnswer: -11001010100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 2*h - 3. Let p be k(2). Let r(u) = 9*u + 15 - 8*u - 7*u. Is r(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2282.51 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 365 + -355. Suppose 10*j + s = 10. Sort j, -2, -15 in ascending order.\nAnswer: -15, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 2\/13 (b) 43.7 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtvzzyzzqzttttyz. What is prob of picking 2 t?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8400962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16411 is divided by 1639?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = i + 4, 0 = -0*q - 5*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let t = 3 - x. Is (62\/3)\/(t\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29616 and 385625.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*p - 122. Let l = p + -22. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -67. Is j\/(-33) + 56301\/77 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90, 85, 68, 33, -26, -115, -240, -407?\n\"Answer: -u**3 + 2*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:40 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109 or 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 5*x - 3. Let z(t) = t**2 + 4*t**2 - 3202901*t + 3202906*t - 4. Determine -4*f(o) + 3*z(o).\nAnswer: -o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 803.2 + -803. What is the second smallest value in v, 645, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -0.2, -2 in decreasing order.\nAnswer: 5, 0.5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525712602.\nAnswer: 2, 3, 191, 631, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-33)\/18*-8. Let t = 62 - f. Suppose 6 = 2*o, 2*p + 4*o - t = -0*o. Solve -z + p*q + 7 = -0*z, 0 = 5*z - 5*q - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24800 and 2950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -5. Let o(r) = 6*r + 12. Let h be o(-8). Let c = h + 57. What is the remainder when c is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1015859*k**2 - 3740*k - 3.\nAnswer: 2031718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((47 - 44) + -1 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 - (6 - 4 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -289716, -289718, -289720, -289722?\n\"Answer: -2*a - 289714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/12, 3.8553?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351557*b**5 - 117*b**2 + 7323*b wrt b?\nAnswer: -21093420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -460 + 358 + (-18 - -46).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 8*j - 3. Let d be t(-5). Let f be (-21)\/d + (-58)\/(-18). Factor -f*p**2 + 0 - 2\/9*p**3 + 0*p.\nAnswer: -2*p**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*-5*((sqrt(84)\/sqrt(175) - 5*(sqrt(12) + -3)) + 3).\nAnswer: -1200*sqrt(3) + 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 9. Let n be 3 + -3 + (9 - 1). Let z be k(n). Let y(t) = 4700001*t**3 - 2*t + 1. Let h be y(z). Round h to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917678192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41506738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 11548, -1\/2, -2, 0.4 in decreasing order.\nAnswer: 11548, 0.4, -1\/7, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1557, -2282, -3007, -3732, -4457, -5182?\n\"Answer: -725*k - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**3 - 2*l**2. Let u(t) = -27*t**3 - 5*t**2. Give 2*u(w) - 5*v(w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43795 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300335 by 5.\nAnswer: -60067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)\/x)**(1\/3)*x\/(x**10*x)*x**(-15) assuming x is positive.\nAnswer: x**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2858436 divided by 4\nAnswer: -714609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 2*b - 208, -c + 3*b + 108 = 0. Suppose -j - c = -2*u, 0*u = u - 3*j - 40. Suppose -u = -3*z + 89. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - q + 2, -3*z + 4*q = 9 - 1. Suppose 6*a - 5*a = z. Let j be 12\/(-10)*(-20)\/6. Sort a, j, -3 in increasing order.\nAnswer: -3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let f = c - -3. Let i = -1369\/6 + 229. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 65. Suppose -2*q = 2*q + x. Let f(n) = -n**2 - 9*n. Calculate the smallest common multiple of f(q) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48940430 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 - 0) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/10 - h**4\/4 + h**2\/2 - h. Let f be (8 - (3 + -2))*(-80)\/140. What is the tens digit of p(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.47 - -1.17. Let w = n + 0.3. Let o = 0 + -0.1. What is the second biggest value in w, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311790 is divided by 22268.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9011213479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -364616201 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7705 - 30.2105. Let v = -0.019 + z. Which is greater: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18298686053 take away -3?\nAnswer: -18298686050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130867 - 77309. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -36, -58, -80, -102, -124?\n\"Answer: -22*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 3, x: 4, t: 2, y: 4}. Give prob of sequence bx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 0*j + 6*j + 3747.\nAnswer: 4*j + 3747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.1 + -12.55. Let g = i + 0.45. Let z = 2 - 2. What is the second biggest value in g, z, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 * -0.016\nAnswer: -1.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:18 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 6:12 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/100*20\/8)\/(-2*5\/75).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/(-1 - -2). Suppose 2*s + 8 = 4*l, -s + 3 = l + u. Let y(o) = o**3 + 5*o**2 - 7*o - 3. Let h be y(-6). Put l, h, -3 in descending order.\nAnswer: h, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 0)*(-178 + 180 + 38*i - 2*i).\nAnswer: 144*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-14)\/(-70)*-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6*(-4)\/6. Let f = -0.625 + 0.725. Which is the nearest to d? (a) f (b) 0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 3759*q + 479088 = 0.\nAnswer: 144, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33388*w - 3 = 2*a - 33391*w - 28, 4*a = -10*w + 2 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(15)\/sqrt(5).\nAnswer: -3*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 167*a**2 - 1663*a + 327. Is i(202) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935082861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744 + r**2 + 582 + 542 + 620.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 7*k + 13. Let x be b(5). Let d(g) = -g**2 + 5*g - 4. Let i be d(x). Suppose -2*n - 3*h - i*h + 8 = 0, -2*h = -n + 4. Solve n*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 + -175.1. Which is the smallest value? (a) -1 (b) -1\/7 (c) -2\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/42)\/((-1)\/(-4)). Let p(j) = 2*j**2 - j. Let u be p(1). Which is the nearest to u? (a) 0 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*w - 30, -60*t + 61*t - 4*w = 26. Solve p + 20 = -5*o, -25 = t*o - 6*p + 3*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1294, -2594, -3894?\n\"Answer: -1300*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*b + 1 = -2, 30 = 5*x - 3*b. Let l(g) = -39*g + 8. Let j be l(2). Find the common denominator of 23\/7 and (x\/(-84)*6)\/(12\/j).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/301, -0.2, -25?\nAnswer: 1\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:41 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 4, j: 2}. Give prob of picking 2 z and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - ((11 - 2) + -755 + 754)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89, -356, -803, -1430?\n\"Answer: -90*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.49 * 15.\nAnswer: 22.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 + u**3 - u + 1\/2*u**4 + 3\/2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279592531.\nAnswer: 23, 12156197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-7)*x**(-2\/7)*((x\/(x*(x*x**(-2\/5))\/x))\/x*x)**1 assuming x is positive.\nAnswer: x**(-206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 22 (b) -28 (c) -1 (d) 38 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 7) to base 14\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 870\/7395*51\/(-18)*(-12)\/74\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, -1, -264, 0.\nAnswer: -264, -34, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.4, -33, 6\/5, 161?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -1\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 764 = -6*n. List 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 units digit of 366583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4789*a**2 - 7299*a - 25. Let j(h) = 2394*h**2 - 3649*h - 10. Let n(d) = 10*j(d) - 4*s(d). Find the second derivative of n(u) wrt u.\nAnswer: 9568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631514 is divided by 580.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-1407)\/(-2) + (-5 - -3)?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, -3, 3, 21, -11, 27 in increasing order.\nAnswer: -12, -11, -5, -3, 3, 21, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*u + 11973160 = -191*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2069010)\/(-7663)*(-2)\/9?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.92218211 rounded to 2 dps?\nAnswer: -6.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016825 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2402 + 2380 - 4*j**2 + j**3 - 6*j**2 - 16*j + 3*j**2. Determine t(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixiixixiixiix. Give prob of sequence ixx.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -58*v - 8. Let c be f(9). Let k = c + 4101. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 32?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((14 - 24) + 6) - (2 - -40).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392179722 to the power of 1\/2, to the nearest integer?\nAnswer: 58242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-10 + (7 - -12) - 5)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 11480 = -14*z. Suppose -8*b + 184 + z = 0. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50115 and 1365.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/5 - 21*k**2 + 1307*k\/5 - 3003\/5 = 0.\nAnswer: 3, 11, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 210. Let h = -58 + k. Suppose -4*r - 4*o = h - 207, -2*r + 65 = -3*o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 315*j - 319*j - 36, -2*i + 2*j = 10 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtbzzzb. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1787751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:53 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68 from -7.7.\nAnswer: 60.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -1 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/6 - m**2\/2 + 50*m - 12. Let h(s) = -4*s - 8. Give -2*h(t) - 6*i(t).\nAnswer: 2*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 8) to base 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-5))\/(9\/(-90)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 1099911*z + 180304716.\nAnswer: 3*(z - 366473)*(z - 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 0, 1, -4, -5.\nAnswer: -13, -5, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 48 + 48)*(-4*k - k + 3*k) + 2*k**2 - k**2 - 2*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 71. Let g be (2\/(-4))\/(1\/16). Let q be ((-20)\/g)\/(r\/(-2)). Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -40 - 108. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) 45 (c) -3\/475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(3\/14)*h*h**7*h*(h*h*h**4*h)\/h assuming h is positive.\nAnswer: h**(209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and 79\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 300*c - 295*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86\/(-5)*7 - 2\/(-5). Let j = c + 123. Solve -2*w - 5*o + 15 = 0, -10 = 2*w - j*w - 3*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-5 - 4)) + 0 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + sqrt(325)*-2.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 217*h**2 + 7*h**2 - 1203*h**2.\nAnswer: -1413*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314139 = -106*v + 155*v. List the prime factors of v.\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059850648 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/231174 and -13\/7596.\nAnswer: 97555428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4928.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -15. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/330 and 73\/35?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 5\/11 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 - 2*c + 2. Let r be f(-3). Let y = -3 - 1. What is the closest to 1 in y, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4726444 and -7.\nAnswer: 4726437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 26. Suppose -2*z - 96 = -o*k - 0*z, 10 = k - 4*z. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 74 = -5*x. Solve -5*h = -h - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 44. Let x(w) = w - 1. Let f(j) = -b(j) + 4*x(j). Let r be f(-18). Suppose -r*u - 8 = -20. What is the lowest common multiple of u and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -337181 (b) -1 (c) -3 (d) 3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 54 + 0*f**4 - 35*f**2 - 53 to q*f + u*f**3 + w + s*f**4 + i*f**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 7, e: 7, h: 1, v: 3, c: 1}. Give prob of sequence cenv.\nAnswer: 49\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n**4 - 15*n + 8*n**4 - 8*n**4 wrt n?\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 5*p**3)*(-9 + 15 + 17 + (-2 - 1 + 4)*(-5 + 2 + 13))*(-10*p + 9 - 9).\nAnswer: -1650*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -1948*i + 1951*i - 62, -j = -i + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:11 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 38. Is (2\/4)\/(i\/5884) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i + 43. Give c(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17) + 1 + 1)**2*2.\nAnswer: -4*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.8 at most -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 287*h - 3789944 + 3789944 + (-4*h + 4*h + 2*h**2)*(-5*h + 4*h - h) to the form t*h**3 + o + w*h + k*h**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Suppose 0 = 5*u + 3*g - 25, -k*g = u - 17. Solve -u*t - 1 - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 11*b**2 + 7*b**2 + 2*b in the form q + k*b**2 + r*b and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 27*z + 187. Let u be i(-7). Is 231621\/(-13)*(5 + u)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k**3 + 2*k**2 + 2. Let l be f(-2). Suppose -2*g + l = -148. Suppose 4*d + 19 = g. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 10) to base 12.\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**2 - 4*o. Let r be d(4). Let a = r - 456. Suppose 4*x = 3*t - 0*t - a, 0 = -t + 4*x + 72. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1206, 27, -0.5, 0, 0.08 in descending order.\nAnswer: 1206, 27, 0.08, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2380551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjhjjnnjnn. What is prob of picking 3 j?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/5 + (-2700)\/108.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396 - -63. Let a = p + 333.0000092. Round a to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:06 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 4. Let b(l) = l - 2. Suppose -4*s = -5*x - 8, -2*x - 11 = 5*s + 12. Let a(d) = s*f(d) - 6*b(d). Let y(z) = -2*z. Give a(y(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 41, 2, 0.327, -9\/19?\nAnswer: 0.327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 27. Let p(a) = -3*a**3 + a**2 - 5. Let c be p(2). Let t be j(c). Solve 0 = -3*m - t*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6900 + 6966. What is the lowest common multiple of 132 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859168188 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w + 7*w + 21*w + (2*w + w + 0*w)*(83 + 199 + 51 - 5).\nAnswer: 1004*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -730\/37?\nAnswer: -730\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*s + 15845 = 8*s + 41441. What is the remainder when 477 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 96. Suppose -b - 12 = -5*c - i, 2*c = 2*b + 12. Solve -c = 4*j + 4*g + 3, 0 = -g + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5237692 to the nearest integer?\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105415594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 + i**5\/12 - i**4\/24 - i**3\/6 + 35*i**2 + 69*i. Let o = -7 - -12. Determine k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -369 - -381. Suppose 5*l = 20, -p + 2*l + f = -1305. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321698560 divided by -64339712\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6139 and -19.95955.\nAnswer: 6119.04045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 6*l + 80. Let m be h(7). Let f(t) = -t**3 + 5*t**2 - 2*t + 2. Let y be f(2). Let c = y + m. Is c less than 3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 40 + -16 + -34.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 243 + 3*h + 2*h**3 + 241 to the form q*h**3 + x + g*h + l*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/10 - 3*c**4\/8 + 11*c**3\/6 - c**2. Let b = 45 - 35. Is t(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 - 2*h - 3. Let w(v) = -2*v**2 - 2*v - 2. Let x = -63 - -38. Let j be x\/50*-2*3\/1. What is j*w(f) - 2*i(f)?\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o**3 - 20*o**3 + 35*o**3 - 6*o**3.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 5. Let u be q(-5). Suppose p - 2*i + i = 8, u = -5*i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2985 - 1795. Suppose 4*y + 4*h = y + 718, 5*y + 5*h - v = 0. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 1332 + 3*o - 1331. Let x(c) = -5*c - 12. Calculate -4*i(u) - x(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 15 + 6)*(-3 + u + 3 + 2).\nAnswer: 17*u + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 248?\nAnswer: -248.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*s - 85, -3 = -4*x + x. Calculate the lowest common multiple of s and 11.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4040\/65823 + -1\/593. Let n = f + -10\/37. Let m = -2.06 - -0.06. What is the closest to -2\/3 in n, m, 5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-3)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1434812 or -1434813?\nAnswer: -1434812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1684 in -0.5, -5, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 207.15. Let x = 13.35 + v. What is x rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 1120.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 9*s**2 - 17*s - 18. Let i = 173 + -180. Let q be m(i). Let d = 6 + -4. Solve 2*b - 18 = -4*x, 0 = -q*x + d*x + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2897 + -2897.5. Sort -2, c, -6 in increasing order.\nAnswer: -6, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (25 + -26 + (-8 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6198, -12451, -18852, -25473, -32386, -39663, -47376, -55597?\nAnswer: -64398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 + 3*k**2 + 8*k - 6. Let b(v) = -4*v**3 + 2*v**2 + 9*v - 6. Let s(o) = -4*b(o) + 5*d(o). Let a be (2 + -1)\/(1\/(-6)). Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - b - 3 = 3, -3*i + 2*b + 16 = 0. Suppose i*x + y + 4 = -3*y, -4*y + 6 = -x. Let v be -187002 - x\/3*3. Round v to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 + 5*i**2. Let t(y) = -2*y**3 + 3*y**2. Let s(p) = -p**2 - 5*p + 6. Let g be s(-4). Calculate g*t(w) - 6*z(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r + 2*r - 2*r)*(3*r**2 - 3*r**2 - r**4) + 14*r**2 - 6*r**5 - 14*r**2.\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (56 + -33)) + 56\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-56)\/(-12)))\/((-9)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 240. Suppose -12*s = -0*s - n. Suppose 20 = -s*f + 8*f. What is the remainder when 79 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - (-1842)\/30)*50. Suppose 47*h - f = 27*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)*z**(-3\/13))\/(z**(-1\/9)\/(z*z**(-5\/6)*z)) assuming z is positive.\nAnswer: z**(1459\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*d**3*g - 4115*b**2*g**2 - 13*b*d**3*g**2 + 8*d**3*g - 8*g**2 wrt b.\nAnswer: -4*d**3*g - 8230*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 42*s + 140. Let a be x(-9). Solve -71 = -a*i - 96 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -132, 33, -2.\nAnswer: -132, -2, -1, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10418?\nAnswer: 2, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24574*h**4 - 13791 wrt h?\nAnswer: -98296*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 332.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/5 (b) -0.5 (c) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(720))\/(sqrt(4) + -3*sqrt(4)*-3) + -3.\nAnswer: -3 + 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (3 - (-18 - 2)\/(-4)). Suppose -2*y = -3*m - 958, -1427 = -i*y + 3*y + 2*m. Suppose 1161 - y = 4*v. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3345657, 6691613, 10037569, 13383525, 16729481?\nAnswer: 20075437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12136, -12132, -12128, -12124, -12120, -12116?\n\"Answer: 4*r - 12140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -37 + 60 - (-13 - -2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 h, and 1 f when four letters picked without replacement from {s: 3, h: 2, f: 9, c: 2}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15716458 - -150.63.\nAnswer: -15716307.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -625252*i**3*r**2 + 107*i**3 + 45*i + 603*r**2 - 1995*r wrt i?\nAnswer: -3751512*i*r**2 + 642*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 13. Let c(p) = -5*p**2 - 2*p - 2. Let u(w) = 6*w**2 + 3*w + 3. Let s(t) = -6*c(t) - 4*u(t). Calculate the remainder when h is divided by s(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 4\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 186\/15 - 8\/20. Solve 8 = -5*p - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7088 - -4?\nAnswer: -b7084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70626146.\nAnswer: 2, 23, 1535351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/(-30)*30\/4. Let q(m) = -m + 9. Let c(b) = -1. Let w(u) = d*c(u) - 2*q(u). Let j(x) = 2*x. Determine w(j(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 13*a - 37. Let m be r(-5). Suppose 4*g - 1078 = h - m*h, -5*h + 5*g + 2710 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3008*w**5 + w**2 - 595*w**5 - 3877*w**5 + 2086*w**5 - w**5 - 2*w**5 + 4*w**5 + (2*w**3 - 3*w**3 + 3*w**3)*(w**2 - 1 + 1).\nAnswer: -5391*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*n**2*t - 2*c*n**2 + 376965*c*t + 553*c + n**2 + 74 wrt t?\nAnswer: -c*n**2 + 376965*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6551 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46 + 0.04. Let x = 1.5 - 1.29. Let f = x - -3.79. What is the third smallest value in f, -0.3, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 + m. Let n(o) = -3*o - 9. Let s be n(10). Let k = s + 9. Let y be k\/70 - (-20)\/14. Calculate r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, o: 1, f: 5, h: 1, r: 3}. What is prob of sequence ohr?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v)\/(v*((v\/((v*v**(-5))\/v))\/v)\/v))\/((v*v*v*v**(-14)\/v*v)\/(v*v\/v**2)) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (-2 + (-1 - 3) - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -53*y**2 + 12*y - 13. Let k(x) = 13*x**2 - 3*x + 3. Give 9*k(l) + 2*u(l).\nAnswer: 11*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501455*s = 1501449*s - 336 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 15411980.\nAnswer: -1849437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 10323?\nAnswer: -10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**21\/(c*c\/(c\/c**17*c)*c) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3657082740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (35\/14)\/((-2)\/(-1052)). Suppose 3*d = 0, -5*t + d = -d - l. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.0077 * -0.2\nAnswer: -0.20154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7429001, -14857991, -22286981, -29715971, -37144961, -44573951?\nAnswer: -52002941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let q be 1 + u + (3 - 3). Solve 2*s + 2*f + q = -2*f, 0 = 3*s + f - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -662, -991, -1320, -1649, -1978?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*g - 47, -8*f - 4*g + 76 = -5*f. Let m be (-5)\/10 + (-130)\/(-4). What is the highest common factor of m and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.404 tonnes in milligrams?\nAnswer: 290404000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47677, -47673, -47669, -47665?\n\"Answer: 4*h - 47681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 - 1\/315*d**7 + 0*d**4 + 0*d**3 + 0*d - 2*d**2 - 1\/90*d**6 - 1\/90*d**5. Solve g(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 + 2046846*v**3 + 24562440*v**2 + 98250144*v + 131000448 = 0. What is v?\nAnswer: -4, 682294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17686028 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 2*a**2 + 2*a - 1. Suppose -5*y - 2526 = 1314. Let r = y + 769. Calculate u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 36. Let h be a(15). Suppose 5*d = -2*f + h, 0*d - d + 2*f + 3 = 0. Solve -4*n = 29 - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 + g**4 - 7*g**2 + g + 5*g**2 + g**2 as n*g**2 + f*g + l*g**4 + o*g**3 + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468\/33 - 6\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - d**2 - 6*d**2 - d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - -4) + (-4)\/(-1). Let h be (-48)\/(-14) + n\/(-49). Solve h = j - 1, 14 = 2*z + 5*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.158 + -0.472. Let i = -0.43 - q. What is the second biggest value in -5, 5, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 236805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 5274636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (108\/32)\/(9\/48). Solve -s*r = -21*r + 4*i - 5, 2*i = r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.1 (b) -3 (c) -0.08 (d) -0.3 (e) -17 (f) -13 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006313819 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 25*r**2 - 21*r + 28*r.\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40617 in -4, 0.046, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:27 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3577 + -3579. Let s(r) = -18*r - 27. Determine s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1785, 0, 1\/8 in decreasing order.\nAnswer: 1\/8, 1\/1785, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-4\/7))\/(l\/(l\/(l**4*l)))*l*l\/((l**(2\/11)*l)\/l)*l**(-3\/7)*(l**(-6\/11)*l)\/l**(2\/3)*((l**3*l)\/l)\/(l**(-5)*l) assuming l is positive.\nAnswer: l**(1328\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 605 - 11172?\nAnswer: -10567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1210002003123?\nAnswer: 1210002003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-143)\/(-22) + (2\/(-4))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(98) + sqrt(98) + 2 - sqrt(98)) + ((sqrt(98) + 1)*5)**2 + -4 + -5.\nAnswer: 371*sqrt(2) + 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62701161 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmciihcciim. What is prob of sequence mhi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*h = -44, 5*h - 11 = 2*b + 19. Let x = 10 + b. Suppose x*q = 5*q. Is 3\/7 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/6 or -5135?\nAnswer: -5135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 12. Suppose -6*i + 7*i - 13 = 0. What is c(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4795449370?\nAnswer: 2, 5, 2137, 224401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*6\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -5119\/151?\nAnswer: -5119\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 12*r**2\/5 + 6*r\/5 - 4.\nAnswer: 2*(r - 1)*(r + 2)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 times -2.596?\nAnswer: 366.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 27*z**2 + 20*z + 16. Suppose 4*v + 124 = 4*t, 3*t = 4*v + 52 + 69. What are the prime factors of r(v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 131*x**2 - 750*x + 62. What is m(125)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7075808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 8. Suppose -5*u + u = -k. Which is the biggest value? (a) -2\/3 (b) u (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 - 11*d - 11. Calculate g(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (34\/308)\/(3\/(-12)). Let t = h + 8\/11. Put t, 0.1, -4 in descending order.\nAnswer: t, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3*j + 7, -5*d + 1 = 105*j - 108*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 6*v**2 - 3*v**2 + v**4 + 5*v**2 + 5*v**2 to m*v**3 + w*v**2 + y*v**4 + c + q*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 + 194?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -67 + 127 + -53 + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61762 is divided by 15434?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3, 242*s = 2*d + 247*s - 82031. Is 310 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, -4, -92513 in ascending order.\nAnswer: -92513, -4, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5753 (base 12) to base 16.\nAnswer: 25ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose 4*d + 11 + 21 = h. Let b be ((-122)\/(-8))\/(2\/d). What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 21.9, -3\/13, -3\/4, -0.4, 2\/25, 119?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7457 + 234?\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4336 and 25397036?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4820, -8060, -13460, -21020, -30740?\nAnswer: -42620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 3*b**2 + 3*b + 1. Let o(n) = -2*n**3 - 2*n**2 - 2*n - 1. Let v be (2\/4)\/(25\/(-6) + 4). Determine v*o(y) - 2*c(y).\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, b: 6, k: 8}. What is prob of picking 2 k and 2 l?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11449\/2 - 11877\/4*f - 1\/4*f**3 - 54*f**2.\nAnswer: -(f + 2)*(f + 107)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.054 + 0.554. Let v = -1.6 + 2.7. Let l = -0.8 + v. Sort -1\/11, l, y.\nAnswer: -1\/11, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 1 (b) 2 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 346*r - 13. Suppose 2*o = 46 - 30. Let k(s) = s**2 - 8*s + 11. Let d be k(o). Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 1937, 4260, 7513?\nAnswer: 11696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*i - 44 + 124 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3060)\/(-1615) - (-3)\/(6\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/36, -5, -1\/7 in descending order.\nAnswer: -1\/36, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110 + 10010000?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/5139, 1\/9, 233 in increasing order.\nAnswer: -5\/5139, 1\/9, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose 3*y - 2 = k. Let d be y - (0 - 14\/(-16)). What is the nearest to -1 in d, 1\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -832 + 940. Solve -105*c = -j*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (-2737)\/(-69). Which is smaller: p or -38?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259677400 divided by -2596774.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -1 - 74\/(-3). Let z = 26 - j. Let f = -1360 + 1364. Sort -4, z, f in descending order.\nAnswer: f, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {b: 2, f: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 118, -0.12 in increasing order.\nAnswer: -0.12, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.255+20587174\nAnswer: 20587174.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11212 from 23.67.\nAnswer: 11235.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10711100*u**5 - 180*u**2 - 7500 wrt u.\nAnswer: -642666000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 1, -5, 5, -211.\nAnswer: -211, -5, 1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -46, 7 in decreasing order.\nAnswer: 7, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - c**4 - 3*c**4)*((3 - 2 + 1)*(2*c - 3*c + 5*c) + 22 - 23 + 183*c - 147*c).\nAnswer: -44*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48072.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, 0 = -d - 2*d - 5*a + 144. Let l = d - 43. Suppose -3*z = 5*n - l*n - 32, -5*n = -5*z. Solve 3*g + o + 2 = -2, 0 = -z*g - o - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248266 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 3 - 5 - 6. Suppose 5*u + 4*x - 1 - 8 = 0, 0 = 2*u + 4*x + 6. Let q be k(u). Solve q = t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*h + 6 = 0, 0 = -4*h + 5*h. Let q = 10 - a. Suppose -2*f + 3*j = -91 + 32, -q*j = 2*f - 24. Calculate the highest common factor of f and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 + -1 - (3 + -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 981?\nAnswer: 981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 1271\nAnswer: -78\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*h = -2*h - 20, 12 = -4*i - 4*h. What is the remainder when 4 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/5, 10, 5, 0.27 in decreasing order.\nAnswer: 10, 5, 4\/5, 0.27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-135)\/(-60))\/((-21)\/28). Suppose 3*w + 1 = 4*w. Put -5, d, w, 2 in increasing order.\nAnswer: -5, d, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d**2 + 3296*d - 57859. Give z(311).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.16 (b) 9\/5 (c) 2051 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980.67um in millimeters?\nAnswer: 4.98067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -460 + 653. What is the lowest common multiple of 8 and r?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -953, -3542, -7175, -11294, -15341, -18758, -20987?\n\"Answer: 93*j**3 - 1080*j**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 57 + 53 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**5\/60 + s**4\/6 + 28*s**3\/3 + 14. Let d(w) be the third derivative of i(w). Let u be d(-8). Solve 4*t = -0*t - u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/135, 0.2, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*f - 3*f + 0 + 2*f**2 - 3 + 2*f**4 to k*f**2 + h*f**3 + l*f**4 + z + i*f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d1 - 5d7?\nAnswer: -6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 151*d - 664. Calculate u(6).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -80. Let k be i\/18 + (-18)\/(-81). Solve -k = -2*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.6468665\nAnswer: -0.2587466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 132*s + 4 - 129*s + 5. Calculate k(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-231)\/(-2)*(2048\/48 - 12). What is the third derivative of -2 - 3542*o**3 - 2 + 87*o**5 + 9*o**2 + m*o**3 wrt o?\nAnswer: 5220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.29466 rounded to one decimal place?\nAnswer: -121.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.08, -59, -0.32 in decreasing order.\nAnswer: -0.08, -0.32, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(17)*-4 + (sqrt(170) - -5*sqrt(170))\/sqrt(10))**2.\nAnswer: 4*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8*0)\/1. Let i(g) be the second derivative of t*g**2 - 2*g + 0 + 1\/12*g**4 + 1\/6*g**3. Find the second derivative of i(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 2*p**3 + 0*p**3)*(-11369*p**2 - 5028*p**2 - 7740*p**2).\nAnswer: 48274*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5167682831 to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 92, 59, 12, -49, -124?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310978 and 336468.\nAnswer: 20524548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-35)*(-10)\/(-8))\/(12\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.309 and -13258020?\nAnswer: 13258026.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/11)\/(((t*t\/((t*t**(1\/23))\/t))\/t)\/t)*((t**3\/t)\/t)**(-20) assuming t is positive.\nAnswer: t**(-5026\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(q + 4*q - 4*q) + (2 - 2 + 7)*(14 - 18*q + 17 - 27) as w + f*q and give f.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -54888254.7 rounded to the nearest 1000?\nAnswer: -54888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 998877052 and 14?\nAnswer: 6992139364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 4*u, -s - 12 = 2*u. Let w be (34\/s - -3)*-10. Find m, given that -4*m**4 - 5*m**2 - m**4 + 14*m**3 - w*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4637 (base 10) to base 9\nAnswer: -6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -1464\/533 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkyd when four letters picked without replacement from {t: 6, y: 3, d: 2, j: 6, k: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b89 + 2?\nAnswer: b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*v - 381 - 451 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -21. Let s = v - 11.92. Let m = -0.08 + s. What is the closest to m in 5, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-60))\/((-205)\/246)*-10*1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 14*t - 25. Let s be g(-12). Let u = 12 - 6. What is the least common multiple of u and 4\/(2 - (-4 + 5)) + s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*s + 10 = 0, 0 = r - 3*s - 2 - 0. Suppose r*k - 327 = -15. Calculate the highest common divisor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(6\/10 + 1785\/(-5100)))\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -14, -11, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuuyzzyuzzyyzzy. What is prob of sequence zzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 0 = -l*k - 2*k + 75. Calculate the remainder when 29 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + (-12 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26084 or -16?\nAnswer: 26084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*h - 4*h. Let t(w) = -w - 7. Let n(b) = b + 3. Let f(p) = 9*n(p) + 4*t(p). Let s be f(2). Calculate the greatest common divisor of h and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/4 (b) -2\/21 (c) -0.5 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(256) - (sqrt(130)\/(sqrt(50)\/sqrt(5)) - sqrt(13))) + (sqrt(13) - -5*sqrt(13)*3)*6*-5.\nAnswer: -3839*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 1\/6, 619?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 221 = -225. Is (-10262 + -3)*(j - 26\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v**(-1\/21)\/v)\/v))*v*v\/v**14*v)\/(v**(2\/33)\/((((v*v*v\/((v**(-5)\/v)\/v)*v)\/v)\/v)\/v)))**(-4\/11) assuming v is positive.\nAnswer: v**(4720\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 0.64. Let a = f + 0.9. What is a rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, p: 5, k: 4}. What is prob of picking 2 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5031 (base 8) to base 5\nAnswer: -40320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z. Let f(q) = 6*q + 4503867. Calculate k(f(y)).\nAnswer: 24*y + 18015468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34\/11, 2\/25, -631, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000117931 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**(-9))\/a))\/a)**(-2\/9) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(20)\/sqrt(4))*3)\/(4*sqrt(726)*-1).\nAnswer: -3*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 196, 294?\n\"Answer: 98*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 3505*a + 226440.\nAnswer: 5*(a - 629)*(a - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9538 = -776*z - 22676 - 7814 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*p**2 - 149*p**2 + 70*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b + 2*l + 30, 27 = -2*b + l. Let s be (-183)\/b + (-1)\/4. Solve -6*a = -a + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114496216 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4413150 and 10.\nAnswer: 4413150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + d - 4*d + (-4*d - 3*d + 5*d)*(4 - 6 + 0).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 17887.\nAnswer: 20\/17887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.51596 or 1?\nAnswer: 22.51596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -1\/10*w**5 + 0*w**4 + 0*w**3 - 2*w**2 + 0 + 0*w. Let l(f) = f**2. Determine l(v(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31297*a*v**2 - 114291*a + 2*v**2 - v wrt v?\nAnswer: -62594*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -2\/3461?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*g = -24, -l = 4*g + 8 + 8. Suppose -l = d - 1, -5*d = -3*b + 2124. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -14.50165\nAnswer: 7.250825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 2*j**3 + 5 - 4 - j. Let t(c) = -c**2 - 3*c + 3. What is the remainder when p(2) is divided by t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 120. Let p be g(-28). Solve 471 = p*r + 519 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13124613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 2*o + 0*o - 2*o. Let g(m) = 3*m**2. Determine g(w(c)).\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.3. Let k = -1 + m. Let s = 1.000024 + k. What is s rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111200 and 788800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1305\/14 - -208\/7. Suppose -192 = 3*w - 2*i, -3*w + 4*w + 53 = -3*i. Let x = z - w. Which is the third biggest value? (a) 0.5 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3854 + -3503. Calculate the greatest common divisor of 216 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28\/43 (b) 121\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3, 0.2, 0.5, -13, -28, -1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -0.4 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-12*1)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2997 - 3001. Which is the nearest to 0? (a) 0.4 (b) l (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1290\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4.745. Round w to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*d + d + 4, -3*j - 5*d = 7. Suppose 0 = -h - j*h + 224. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*n + 10711 = 47*n - 57*n - 3667 for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31326, 62651, 93976, 125301, 156626?\nAnswer: 187951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**35\/(s**(-2\/13))**(-11) assuming s is positive.\nAnswer: s**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.235 - -0.2350314. What is k rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 124303301032?\nAnswer: 124303301041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187826169481 - -186.\nAnswer: 187826169667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -4, -2, 2, 7, 2862 in increasing order.\nAnswer: -6, -5, -4, -2, 2, 7, 2862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2458 + 2530. Sort 0, i, 1.\nAnswer: 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80)\/6*270\/(-15). Suppose 32 = -t*v + 242*v. Calculate the remainder when 43 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z + 16 = 0. Let c be (0 - 1)\/((-2)\/z). Suppose 132 = 4*l + c*t, -5*t + 39 = 2*l - 27. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 170*a + 18 = 173*a, 5*b = 6*a - 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2378 - -2375. Let j(o) = 2*o**2 - 2. Let l(w) = 4*w**2 - w - 5. Let u(t) = 9*j(t) - 4*l(t). Give u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1134 - 81*b - 1134)*(1 - 3 + 4)*(1 - 2*b**3 - 1 + b).\nAnswer: 324*b**4 - 162*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 20. Let z be x(-8). Let k = z + 6. Let b be k\/40 + (-4)\/(-16). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -5*n**3\/6 - 9*n**2 + 2*n. Suppose 0 = -17*c + 13*c - 36. Let s be q(c). Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8156, 32617, 73386, 130463, 203848, 293541, 399542?\n\"Answer: 8154*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*r - 2*r = -30, 25 = 4*q + 3*r. What is the smallest common multiple of 22 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(3)*2 + 1*sqrt(650))\/((sqrt(18) + sqrt(162))*-4).\nAnswer: -7*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/67200 and -149\/3150?\nAnswer: 201600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.949 - 0.051. Let d = h - -37. Let r = d + 56.9. Which is greater: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.756 in 0.017, -6, 5, -1, -2\/7?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 562244, 1124509, 1686790, 2249087?\nAnswer: 2811400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 + -24301005?\nAnswer: -24301132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12334 is divided by 101?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 2.22 (c) 3.24 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 14. Let t(d) = -d - 8. Let j be t(-8). Calculate the remainder when 53 is divided by n(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 32*a**2 + 28*a + 575. Is t(43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/48 and -113\/6576912?\nAnswer: 6576912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Suppose -25*y = -338 - 93 - 1794. Calculate the lowest common multiple of y and h.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) + (3 + 0 + sqrt(684))**2 + sqrt(684)) + -2 + ((((sqrt(684) + -1)*-4 + sqrt(684) - sqrt(684)) + sqrt(684))**2 + 0)*-1.\nAnswer: -6867 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007703 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 >= 4553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - 9. Suppose 4*p - w = 11. Suppose 0 = -8*u + p*u + 114. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 2*u + u + (-u - 4*u + 4*u)*(1 - 1 - 4) - 3 + 3 - 3*u - 4*u + 2*u + 3*u + (0 - 4 + 3)*(2*u + 4*u - 4*u) + 3*u - 4*u - u + 4 - 4 - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.16249561 * 0.3\nAnswer: 0.648748683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/6 - 131*s**4\/2 - 7384*s**3\/3 + 58886*s**2\/3 + 1106048*s - 6809600\/3 = 0.\nAnswer: -350, -32, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -16. Solve 0 = -4*o + g - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 6. Let q be s(-7). Let l(x) = -20 - 19*x**2 - 24*x**2 + 40*x**2 + 27*x. Let m be l(8). Solve -5*d = 2*h + 24, -3*h = m*d + 14 + q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -429995?\nAnswer: -42999a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5897085, 5897084, 5897083, 5897082, 5897081?\n\"Answer: -f + 5897086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g**2 + 95*g**4 - 45*g**2 - 55*g**3 + 10*g**5 - 27*g**2 = 0. Calculate g.\nAnswer: -10, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -31302?\nAnswer: 31302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 19*q + 19. What is l(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 174940800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d - 7*d)*(2*d - 2*d + d + (2 - 2 + 2*d)*(-3 + 2 + 2) - 4*d + 4*d + d) + (-2 - 2*d + 2)*(-2*d + 2*d + d) - 43*d**2 + 31 - 31.\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 954943*o**4 + 4353539 with respect to o.\nAnswer: 3819772*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 54*n**3 + 2*n**4 - 3 - 2*n**2 - 53*n**3 - 2*n as m*n + l*n**2 + f + i*n**4 + y*n**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362767663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -55009 and 10.\nAnswer: -54999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h + 4005. Let u be 16\/(h\/(-400) + -2). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**3\/3 - 9*u**2\/2 - 369*u - 3. Let t(y) = y**2 - 5*y + 4. Let z be t(3). Let j(g) = g + 4. Calculate z*p(w) - 5*j(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6416161061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304370176 and 193690112.\nAnswer: 2130591232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*k**3*q - 3*k**3 + k*q + 482 with respect to q.\nAnswer: -54*k**3 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 + a**2 + a - 1. Let p be r(1). Suppose 4*x + 51 = -4*f - f, 5*f = 5. Let h = p + x. Sort 3, -1, h in descending order.\nAnswer: 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.767 + -0.767. What is the smallest value in 0.05, g, -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-2 - -4) + 30 + -25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/7 - 282*o**3\/7 - 556*o**2\/7.\nAnswer: -2*o**2*(o + 2)*(o + 139)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*f + 4, 3*f + 0*f = 2*q + 9. Let m(i) = -2*i + 8. Let a be m(q). Is 3 a factor of a\/(-2*2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 147.\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061332?\nAnswer: 2, 7, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 7:46 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, 1540 in decreasing order.\nAnswer: 1540, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 6*r - 2*r)*(3*r - 2*r - 7*r) - r - 4*r**2 + r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 62980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c + 264 = -10*c. Let s(o) = 17*o**3 + 3*o**2 + 3*o - 3. Let u(x) = 18*x**3 + 4*x**2 + 4*x - 4. Calculate c*s(f) + 3*u(f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 26. Let l be 10\/8 - (-1455)\/388. Determine a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*(4*w - 4*w - w)*(-294*w**2 + 42954*w - 42954*w).\nAnswer: 294*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1670 by 2.\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 + 9747380*j**3\/7 + 11876407613274*j**2\/7 - 6786535345960*j + 6786540915896 = 0. Calculate j.\nAnswer: -2436847, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 36 = 48. Let x(j) = 5*j**2 + 2. Let i(h) = -19*h**2 - 14*h + 8. Let d(t) = -i(t) - 3*x(t). Let w(p) = -p + 1. What is n*w(k) + 2*d(k)?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/80 - 7 - 1\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2. Let n(v) = -2879*v. Give n(r(z)).\nAnswer: -5758*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from sszzzzzs?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from eeaejaeej.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and 22599492.\nAnswer: 22599483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p. Let a(c) = -c**3 + c + 11. Let s be a(p). Calculate the lowest common multiple of 7 and s - 1\/(3\/6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 53\/2*(-440)\/(-22). Is 532 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-3) - 11\/(88\/72)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-15) - 1542\/90. Is m equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k**3*s**2 - 90*k**3*s - 264*k**3 - k*s wrt s?\nAnswer: -6*k**3*s - 90*k**3 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15693?\nAnswer: 3, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b**15*b)\/b*b))**37\/(b**(-2\/45))**(-24))**49 assuming b is positive.\nAnswer: b**(-435904\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -9. Let o(q) = -4*q**3 + 6. Let u(k) = -5*k**3 + 7. Let z(l) = -6*l - 2*l**2 + l**2 + 8 - 7. Let i be z(-5). Determine b*o(v) + i*u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**3 - 1212*t**2 + 3603*t - 2445. Let x(n) = 64*n**3 - 8484*n**2 + 25220*n - 17124. Let j(d) = -36*h(d) + 5*x(d). Factor j(z).\nAnswer: -4*(z - 300)*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/276 and 93\/292.\nAnswer: 20148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times 2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-9)\/(-15))*(-18)\/45. Let v(q) = -12 + 8 + k*q + 4. Let d(c) be the first derivative of 17*c**3\/3 - 1. What is d(v(l))?\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1848 = 3*w, -1 + 7 = -3*w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 63 + 33. What is the greatest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = g + 13, 3*o = 2*o + 5*g - 7. Suppose -5*r + 55 = -5*a, o*r - 65 = -2*a - 3*a. Calculate the remainder when r is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 - 6*z + 6. Calculate the smallest common multiple of 72 and d(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (115\/(-15) - -11)*3\/55. Let -4\/11*b + 0 + u*b**2 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 80 - 2 = 0. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 9500604*m - 22565369091204.\nAnswer: -(m - 4750302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -4*g**7\/105 - 7*g**3\/3 - 2*g**2. Find the first derivative of r(m) wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-394)\/(-4) + 3 - 0. Let w = c + -113. Let m = -34407\/10 - -3438. What is the common denominator of m and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055326 to 5 decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 881, 1\/10, -0.1, 1.\nAnswer: -0.1, 1\/10, 1, 881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5368770?\nAnswer: 2, 3, 5, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 9. Suppose -c*s - 5*h = 35, -4*s - 2 = 2*h + 40. Let v be -4 - (46\/s - 0). Are 5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 + 15 = -197*d + 245*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 130990\nAnswer: -130996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014807 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: 1, r: 3, i: 1, t: 3, v: 2, y: 3}. Give prob of picking 3 r and 1 t.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 - h**2 + 3*h + 5. Let g be z(-3). Solve 0 = 2*v - g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 48073\nAnswer: 3\/48073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -156 - 1?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-250))\/(2\/(-5))*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*z + 5*y - 9, 3*z = -y + 45. Let m = 11 - -4. Suppose 8*x + 4 = 10*x. Solve 0 = -b - 5*h - m - z, -2*h - x = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**2 + 30*y - 87. What is s(3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -3, -0.04, -24, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 165605634?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from epeehphvhddj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002013 (base 4) in base 11?\nAnswer: -6290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from {v: 2, b: 18}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = 3*k - 2*j, -5 = k - 3*j. Calculate the common denominator of 776\/(-180) + k\/9 and -20\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 962 + -867. What is the least common multiple of k and 40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -44 in descending order.\nAnswer: 5, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**2 - 8*n + 30. Does 28 divide x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831.44 months in decades?\nAnswer: 40.262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 2 = -26. Solve -u*r = -5 + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*p + 132*a**4 + a**2 - 4*a*p + 155*p wrt a?\nAnswer: 24*a*p + 3168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g - 7. Let l be h(7). Let w = 253 - 247. Solve l = x - w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:42 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 + 3)*(-40)\/7)\/((-538)\/1883). What is the highest common factor of n and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 2, -2\/71, -1\/3, 3, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 4 - 4)*(3 - j**2 - 3 + 2354*j - 2354*j + 48*j**2 + 3*j - 3*j - j**2 + (-j + 2 - 2)*(j + 0*j - 3*j)) to w*j + y*j**3 + k + c*j**2 and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 - -222. What is the lowest common multiple of m and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 7*v + 2. What is m(-7)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(24\/28))\/((-7)\/(-24)*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -430, -1687, -3774, -6691, -10438, -15015, -20422?\n\"Answer: -415*a**2 - 12*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -5\/3783784 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o + 0)*(4*o**3 - 4*o**3 + o**3 + 0*o**2 + o**3 + 0*o**2 + (2 - 2*o**2 - 2)*(-8 + 8 + 5*o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37884180007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7983*-172.\nAnswer: 1373076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, 4, -1, -2 in ascending order.\nAnswer: -19, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -79*p**3 + 3*p**2 + 3. Let a = 23664 - 23869. Let m(t) = 5371*t**3 - 205*t**2 - 205. Calculate a*b(s) - 3*m(s).\nAnswer: 82*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74955 and 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 + 2 + 13 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 1 - (-23 + 77 + (98 - 2))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**48 assuming w is positive.\nAnswer: w**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524188 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -12. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*f = -97, h + 47 = -1488*f + 1486*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - 0) + 38 + (-25 - 1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(-14\/3)*l**4\/(l**(2\/11)*l) assuming l is positive.\nAnswer: l**(1145\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -2*f - 3*f. Suppose 5*k = -f, -2*r - 2*k - 12 = r. Is r - ((0 - 2) + -31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 1, j: 2}. What is prob of sequence zw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -23121244000?\nAnswer: 23121243551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -213 (b) -8 (c) 1\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 40*f**2 - 22*f - 200. Let z be u(-13). Solve -254*b + 2 = -z*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 8. Let n(p) = -2*p**2 + 9*p + 27. Let g be n(7). Let h(i) = i + 3. Give g*h(b) + 3*u(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/3468 and 1\/1810296?\nAnswer: 1810296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16758 = -12*h + 354*h + 99*h for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 4*c + 3. Let v be n(4). Let z(f) = -v*f - 551 + 551. Let i(t) = -13*t**2. What is z(i(x))?\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 6. Let k = 3 - r. Let x = -11.7 - -6.7. Which is the third biggest value? (a) 1\/8 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2*2 - -225 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127, 235, 343, 463, 607?\n\"Answer: 2*j**3 - 12*j**2 + 130*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103215671, -103215672, -103215673, -103215674, -103215675?\n\"Answer: -n - 103215670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279513 is divided by 54467.\nAnswer: 7178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2775200, 2775199, 2775198, 2775197?\n\"Answer: -j + 2775201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68022801*o**4 + 308671835 wrt o?\nAnswer: -272091204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from sessemscs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/5)\/(z*z**12)*(z**(1\/5))**(-4) assuming z is positive.\nAnswer: z**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 13 + 34)*(335*g**3 - 46*g**3 + 56*g**3) + (-6 + 2 + 3)*(-2*g**3 + g**3 + 0*g**3).\nAnswer: 4831*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 3724183*c.\nAnswer: c*(c + 3724183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q - 2. Let f(i) = -6 + 2*i**2 + i + i**2 + 4. What is the lowest common multiple of q and f(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 978014 and 3526?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 404671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -3 + -2 - (-2 + 8). Let i(q) be the third derivative of q**6\/60 + q**5\/30 - q**4\/24 + 25*q**2. What is i(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.6 and -0.21.\nAnswer: -0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*k + 11*k - 23*k)*(k**2 - 2*k**2 + 3*k**2) to y + b*k + c*k**3 + x*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107126, 106932, 106738, 106544, 106350, 106156?\nAnswer: 105962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4321\/(-447) + (11 - 2). Let w = -7 - -7. What is the nearest to -2 in 4, w, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 2 - (4 + 0)) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:37 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**4 + 3*m**3 + 4026360*m - 43350107.\nAnswer: -4*m**3 + 9*m**2 + 4026360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 = 88. Let b be 4\/w + 96\/(-165). Sort b, -2, 1\/6 in increasing order.\nAnswer: -2, b, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 3 (b) 211 (c) -0.1 (d) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 11*z**2 + 769*z\/3 + 245.\nAnswer: -(z - 49)*(z + 1)*(z + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzd when three letters picked without replacement from zxdvthzx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdx when four letters picked without replacement from {h: 1, r: 1, x: 3, d: 2, a: 5, m: 1}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let y(c) = c**2 - 5*c - 8. Let b be y(p). Let s be 2 + (2 - (-4)\/b). Solve 0 = -3*m - 3*w, 3 = s*m + 5*w + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1723 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from yyqgyft?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90422652 rounded to the nearest 1000000?\nAnswer: 90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -759332 greater than or equal to -759336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*c - 28*c + 16*c**2)*(-4 + 4 - 2*c**2 + c) + c**4 - 1 + 1 as y*c + x + p*c**2 + f*c**3 + u*c**4 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 - 803. Let n = a - -337.3. Let x = 8.1 + n. What is x rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*k + 2*k - 2, 5*b + 21 = -k. Let r(j) = -86*j**3 - 2*j**2 - 2*j + 5. Is r(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*q - 180*q + 3 + 0 - 103*q - 91*q.\nAnswer: 29*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let s = -26\/75 + -8\/25. Let i = -107 + 959\/9. Which is the closest to s? (a) 1\/2 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 3*c**4 + 3*c**4 + (2*c**2 + 9*c - 9*c)*(-2*c**2 + 3*c**2 + c**2) to n*c**2 + d*c**3 + f*c**4 + q*c + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 499793 and 76039935?\nAnswer: 532279545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 - 3. Let w(a) = -40*a**2 + 14. What is 14*l(g) + 3*w(g)?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*148\/(-111)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -12. Let v(f) = f + 14. Let o be v(d). Solve 2 = 3*n - z, -o*n - 12 = 2*n - 5*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzizzuiuuioziuu. Give prob of picking 1 i and 1 q.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 - r**4\/3 + r**3\/2 + 50*r**2. Calculate y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847908697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/12*(-6)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33189 - -61813. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0172 + 480.0172. Let l = 479.8 - p. What is the smallest value in -2\/3, 1, l, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 87 - 5. Solve -u + 1 = 5*l, -u - 6 - h = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1457\/6 + -240. What is the common denominator of -4\/33 and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-20) + 3\/(-20). Let b = -9 - -18. Let x = b + -7. Which is greater: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 2996\nAnswer: -3\/1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122521 (base 6) in base 9?\nAnswer: 168064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3302*n + 1220*n = 2778*n - 257580 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1724978039789 + 1724975816103.739943. Let o = s - -2223541.26. Let i = 144 + o. What is i rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.469 + -16.368. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709331 is divided by 289?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c, -8*i + 9*i + 4*c - 83 = 0. Let n be ((-8)\/(-7) - 2)\/((-18)\/i). Solve -g - 2*g + n = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4601637918 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-42)*(-896)\/192.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 - -253. Suppose -2 = -3*p + 1, 0 = 4*w - i*p - 1434. List the prime factors of w.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/48*(63\/(-55) + 2 - 1)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 52 times -2267617\nAnswer: -117916084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 71)*(-2)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -17*g**2. Let a(i) = 273*i**2. Let d = 10219 - 10154. Give d*c(o) + 4*a(o).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -7, -5, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - -453)\/1)\/3. Let i = -149 + p. What is the third smallest value in i, -0.4, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 2. Suppose 0 = j + 3*p + 9, -3*j + 5*p = -2 + 15. Calculate n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in 3\/2, 20, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1996428 divided by -6.\nAnswer: 332738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 134 + 132. Suppose 3*i = 3*l - 51, 80 = 4*l + 3*i - i. Calculate the highest common divisor of l and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -24877562.\nAnswer: 17414293.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66544883?\nAnswer: 66544883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*m**3\/5 - 83*m**2\/5 + 92*m\/5 + 12\/5.\nAnswer: (m - 3)*(m - 2)*(17*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4\/4 + 5385*c**3\/4 - 12069*c**2 + 24111*c = 0.\nAnswer: 0, 3, 6, 1786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 181692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27900 and 4340.\nAnswer: 195300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -132c283?\nAnswer: -132c284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3759 and 8644447.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/15248 and 95\/4?\nAnswer: 15248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7546 and 10780?\nAnswer: 75460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(6\/2) + (-46176)\/(-1092) + -53.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6 + 10*n**2 - 5*n + 0 + 6*n. Let s(d) be the first derivative of -2*d**3\/3 + d + 16. What is 11*s(i) + 2*y(i)?\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75972634, 75972636, 75972638, 75972640?\n\"Answer: 2*u + 75972632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 52, 62, 60, 40, -4, -78, -188?\n\"Answer: -z**3 + 3*z**2 + 14*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 - -2 - 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 5*l, -2*l - 1 = -2*q + 1. Suppose -5*h - 5 = 5*a + 5, l = a - 5*h - 22. Suppose a*r + 0*r = 28. Solve 5*n + c + r = -c, -5*n = 4*c + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129650\/79 or -1641?\nAnswer: -1641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/36)\/(6190\/(-1337040))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7321 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 3. Let f = 565\/3 + -566\/3. Which is the closest to y? (a) 0.1 (b) f (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 103262?\nAnswer: 516310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4498, -5653, -6808, -7963, -9118, -10273?\n\"Answer: -1155*z - 3343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2\/(-2)) + (4 - 4). Suppose 7 + 63 = u*n. What is the remainder when n is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*d - 225*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b3 (base 15) in base 10?\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:03 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**2 + 1. Let y(m) be the first derivative of -3*m**2 + 245. Determine i(y(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992*t**2 + 2044*t**2 - t - 1037*t**2 + t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 3, -1, 18, -3, 1\/48, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 - 342*q - 3812. Give d(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (-9 - (3 - 9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4))**12*(z\/((((z*z\/(z*(z\/(z\/z**(2\/5)*z))\/z)*z)\/z)\/z)\/z))**(8\/17) assuming z is positive.\nAnswer: z**(781\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11718832393 rounded to 3 decimal places?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 - -473. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43171\/6 + -7179. Let i = -60285 + 723833\/12. Let m = 101\/3 - i. What is the common denominator of w and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/66 - 5*k**3\/33 + 6*k**2\/11 + 79*k - 27. Let j(q) be the first derivative of x(q). Find m, given that j(m) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647, 1645, 1643?\nAnswer: 1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712546833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40336766?\nAnswer: 2, 31, 59, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/75*-3*(-140)\/(-56)*-1)\/30?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 27293790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*r - 725*i + 728*i, 3*i + 55 = 14*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/15 + 7*g**2. Let b(m) = 6*m. Let w(u) = -3*u. Let f(l) = -3*b(l) - 7*w(l). Calculate f(z(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10301315, 10301382, 10301449, 10301516, 10301583?\nAnswer: 10301650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 13*h = 0. Let r(d) = 11*d + 4. Let l(p) = -5*p - 2. Let t(c) = -5*l(c) - 2*r(c). Let s be t(6). Solve h = -2*u + 7*u + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 1 + 2*u + 2*u - 2. Let k(d) = d**2 + 5*d + 3. Let l be k(-5). Let n be (l - 0)\/(2 - 1). What is v(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:33 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5 + 8. Let f = w + -9. Solve 0 = 5*t - f + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -267*d**2. Let p(b) = -2*b**2. What is p(s(f))?\nAnswer: -142578*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 3*g**4 + 0*g**4)*(-2 + 1 - 1)*(-368*g - 117*g + 90*g).\nAnswer: -3160*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 6. Let d(z) = -z + 2. Let t(f) = 11*d(f) - 4*g(f). Let s be t(4). Find the second derivative of -2*k - k**2 + s*k - 2*k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5*i**3\/6 - 27*i. Let a(g) = 5*g + 4*g - 4*g - 4*g. Give a(w(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 76 = -0*u - 4*v, 4*u - 64 = 4*v. Suppose a - 5*r + 50 = 3*a, -4*r = -a + u. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h**2. Let n(j) = 606*j + 10. Let o(k) = 27274*k + 455. Let g(z) = -91*n(z) + 2*o(z). Determine g(b(r)).\nAnswer: -10764*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -38637.8625 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 5 (c) -7\/8 (d) -0.207 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -16, 2, 5, -1\/4, 1.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s = 75*s + 164787. Calculate the highest common divisor of s and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1226, 2470, 3714, 4958, 6202, 7446?\nAnswer: 8690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 2*f - 8*f + 12 - 5. Let r(t) = -4*t + 3. Calculate 3*h(b) - 7*r(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**2 + 7*u + 1. What are the prime factors of d(-3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12786 + 805450\/63. Find the common denominator of 33\/(-825)*1090\/36 and u.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:53 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(512) - ((sqrt(512) - -2*sqrt(512)) + sqrt(512))) + -2)**2.\nAnswer: sqrt(7)\/6 + 2311\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10810, -10859, -10892, -10903, -10886, -10835?\n\"Answer: l**3 + 2*l**2 - 62*l - 10751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225605199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*p + 57 = 83*p + 265 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.29 + 0.31. Let v = n - 1.9. What is the third smallest value in -3\/5, -5, 1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -7\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -321613.83 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 + 20*t. Let k be b(-5). Put -14, k, -0.03, 0.5, 2 in ascending order.\nAnswer: -14, -0.03, k, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 10*t**3 - 20*t**2 + 40*t.\nAnswer: 5*t*(t - 2)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74322 is divided by 8257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from cxnwkxny?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2195\/8503 + 14185373949\/1011857. Let j = -14019 + d. Let z = -3\/17 + j. Which is the third biggest value? (a) z (b) -0.1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/76 - 4125\/532. Let y = o + 242\/35. Let a = 95\/837 - 2\/837. Sort y, 6, a.\nAnswer: y, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 29*n - 208. Let t be f(-35). Let d(r) = -r**t + 16*r - 3*r - 3 - 4*r - 5*r. Give d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 2 - 10\/(-3). Let p = -4.98 + -0.02. Let s = -4.6 - p. Which is the smallest value? (a) s (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/30 - 340*o**2. Let m(w) be the second derivative of -w**3\/3 - 2*w. What is m(y(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 7*i - 7*i + 20. Let v(z) = z + 3. Let m(y) = -3. Calculate i*m(u) - 4*v(u).\nAnswer: -4*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 25.38. Let a = 3059.922 - 3060. Let j = h - a. Round j to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5*6\/5 - (-13449)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435194083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190324, 380627, 570930, 761233, 951536, 1141839?\n\"Answer: 190303*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2 + 170*d - 5. Let b(z) = -16*z**2 - 255*z + 8. What is 5*b(r) + 8*u(r)?\nAnswer: 8*r**2 + 85*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1911 divided by 13363\nAnswer: -273\/1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:41 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 o, and 1 u when four letters picked without replacement from ooeezuozeoozzoes?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let u be 3 - (-3 - (-9)\/(-3)). Let s(a) = -u + 3*a - 4 + 13. What is j(s(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 125?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 25. Suppose 125 = q*p + 5*m, -5*p + m - 4*m + 123 = 0. Does 7 divide p\/(-16) + 115\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = -c + 3*p, -p = -2*c + 2. Suppose -c*g + 21 = -5*s, 0 = 5*g - s - 11 - 7. Let d = 19 + g. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19\/133887?\nAnswer: -19\/133887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4896\/(-66) + -1*(-4)\/22. Let n = 74 + z. Suppose n = 7*o - 11*o + 3688. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300548?\nAnswer: 2, 227, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 50*q + 5*u, 971 = 3*u + 968 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-690)\/(-20)*(-2)\/3. What is the remainder when -3*j\/15 - 6\/10 is divided by 42\/9 - 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2375 != -2374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 15. Let l be -5*(d + 1 + 3). Solve l = 4*v - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32168950 and 6325.\nAnswer: 32168950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795618395.\nAnswer: 5, 559123679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-16)*-1 + 2)*4. Suppose 6*q - w = 3*q. Let o = -7 + 17. Calculate the greatest common factor of q and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208047 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407 + 4*x - 457 - 457 - 476.\nAnswer: 4*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1398 - -11157\/8. Let f = -340 - -2645\/8. Calculate the common denominator of f and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 126 + -4?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let n(s) = -2*s**2 + s**2 - 4*s - k + 1 + 0*s. Let w(r) = -2 + 24*r - 29*r + 0*r**2 - 2*r**2. Give 3*n(c) - 2*w(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757617 by -2.\nAnswer: 757617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04145923426 rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 157*c - 61748. Let n be q(-172). Let y = 5\/28 - -4\/7. Factor -9\/4*g - 3\/2*g**2 + y*g**3 + n.\nAnswer: 3*g*(g - 3)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 795346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/8853 and -53\/3632?\nAnswer: 141648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102321020 (base 4) in base 11?\nAnswer: -5315a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by -10161.\nAnswer: -350\/10161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 15*o - 52. Determine y(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316754186?\nAnswer: 2, 7, 22625299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 85 = -5*b, -2*k + 2*b = -29 + 69 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000432657 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/90 and -8\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -0.5 (c) -1082 (d) -0.2 (e) 1\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12818 smaller than -12819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 190, 201, 216?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millisecond in microseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-9)\/(-810)*3\/(-1))\/((-38)\/1767)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 26292.\nAnswer: 78876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 21*f**4 + 48*f**3 + 36*f**2 = 0 for f.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*j + 12 = 0, 253*j = 4*z + 251*j - 28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -42. Let z(i) = 3653*i**2 + 4*i. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 + -0.05. Let k be 13\/60 + -7 + (-123)\/(-18). Let i = -1\/5 - k. What is the second biggest value in -4, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-3) - (2 + -5). Let m(r) = 3*r**2 + 5*r - 7. List the prime factors of m(i).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156)*1 - sqrt(39)))\/(-5*-1*sqrt(147) + sqrt(147) + sqrt(147)).\nAnswer: 3*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534 and 237808.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/404 and -47\/8.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 h when four letters picked without replacement from hhhhxxhh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.9 + -30.97. Round m to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -501 - 74?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 139*n**3\/3 - 3*n - 5636. Let h(g) = -5*g**2. Determine d(h(z)).\nAnswer: 3475*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(143) + (sqrt(143) - (1*sqrt(143) + sqrt(143)))*-6 + sqrt(143))*2)\/((-1*sqrt(88))\/sqrt(8) - (sqrt(539) - 1*sqrt(539))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 9, -372, -8\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/9, 0.2 in ascending order.\nAnswer: -4\/9, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -27\/6119750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184154758.\nAnswer: 2, 1033, 573163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2*0)\/2. Let j be (p\/(8\/2))\/2. Solve -i - 1 = -j*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1\/96 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 345, 683, 1043, 1449, 1925?\n\"Answer: 4*o**3 - 13*o**2 + 349*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50660085 from 0.4.\nAnswer: -50660084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7482, 29303, 65664, 116559, 181982, 261927?\nAnswer: 356388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69190.12 tonnes to micrograms.\nAnswer: 69190120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42570071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26821*q - 26821*q - 59*q**2 to y*q**2 + a*q + s and give y.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29166102 and 804078?\nAnswer: 320827122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 - 18*a**3 + 81*a**2.\nAnswer: 3*a**2*(a - 18)*(a - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - 134*k + 134*k.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15)*(-3)\/(-1). Let n be (314 + -314)\/(2\/(-1)). Solve -c*y + 10 = n, -4 = -3*t + 4*y - 6*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 607, 910, 1213, 1516, 1819?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733409713.\nAnswer: 503, 1458071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/48? (a) 0.5 (b) 0.4 (c) -0.5 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 + 7 = -i, 2*i - 4 = 3*c. Let b be 0 - 2 - (2 - 2). Let x be 72\/(-15) + 5 - (3 + b). Is i at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 13497273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8d (base 14) to base 7\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 8*x**2 + 10*x - 8. Let t be p(-6). What is the tens digit of (-1 - 0)\/(t\/(-172))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/11)\/((-627)\/(-2299)).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**3\/3 - 35*k - 5. Let q(t) = 3*t**2 - 58. Determine u(q(c)).\nAnswer: -6*c**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/37830 and -161\/8730.\nAnswer: 113490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*u = -7*u - 22, -3*u - 20 = 5*t. Suppose 0 = 4*z - 2*i - 60, -z = -4*z + i + 43. Let f = 10 - z. Is f greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -4. Let x be (2 + -11)*((-1)\/m)\/1. Solve x = 5*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Suppose -5*x = 4*q - 9 - 64, 5*q = -4*x + 98. Let j = -22 + q. Let k(s) = s + s + j*s - 4*s. Give k(w(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6020.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/(-48) + (-4)\/48*21. Which is the closest to q? (a) 2 (b) -0.5 (c) -2\/23 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 392 = -5*r - 4*d, 2*d = 6. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasfaaccaxaas. Give prob of sequence afx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -405782876, -405782875, -405782874, -405782873?\n\"Answer: g - 405782877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 743*d**3 - 350 - 342 + 690 to the form w*d**3 + g*d + y*d**2 + p and give w.\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 840160414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851949310.\nAnswer: 2, 5, 149, 643, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 6\/9*3. Suppose g = 3*q - 4*h - 5 - 1, 3*q = -h + 21. Let b(x) = -x**3 + 6*x**2 + x + 2. Calculate the least common multiple of b(6) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + 8*p - 3. Let n be a(5). Is 6*2\/(n\/177) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u - 12. Solve 1 = -2*w - 2*k + 17, u*w = -5*k + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2450 - -4150?\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -22. Let c(o) = o**3 + o**2 - o + 19. What is the remainder when m is divided by c(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2 + 2558518112*a + 409125933089502784 = 0.\nAnswer: -319814764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332385 and 4?\nAnswer: 1329540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2680\/28*21\/(-9) + (-6)\/(-18). Which is greater: -209 or p?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-28)\/(-48)*4). Suppose -8 = -2*u + 6. What is the second smallest value in -2, u, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 272)*(-3 + 30\/12). Let q = d - -231. Let s = q + -96. Which is the closest to 6? (a) s (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let i(w) = -2482*w + 137. Calculate s(i(p)).\nAnswer: -4964*p + 274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 310114400 to the nearest one million.\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 + ((-12)\/(-10))\/(6\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {d: 5, l: 14}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 37*n - 30. Let t(b) = 26*b - 21. Let s(q) = -7*m(q) + 10*t(q). Let a(l) = 2*l + 79. What is s(a(y))?\nAnswer: 2*y + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -984.8, -87, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 4246 + 3*q - 4246.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32964 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -505\/3 + 168. Let x = -6 + 10. Which is the third biggest value? (a) 1\/5 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592221?\nAnswer: 2592221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1130803 or -6784825\/6?\nAnswer: -6784825\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 822 + 300 = 5*i, i + s = 218. Let k = 335 - i. Let n = k + -32. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 7*l + 462 + 0*l**2 - l**2 - 463. Give z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9 = 21. Suppose -5 = -4*x + 4*p - 1, 2*x - z = p. Let j(k) = 7*k**2 + 3. What is the tens digit of j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bar when three letters picked without replacement from {a: 3, q: 4, r: 1, u: 1, b: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c - 5*l, -5*c = 2*l - 3 - 3. Suppose 3*d - d + 490 = c. Let z = d - -408. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353*f - 2046*f - 1245*f.\nAnswer: -4644*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45143757 - 3?\nAnswer: -45143762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttyt when four letters picked without replacement from {y: 4, t: 5, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 5. Let b = -116.1 + 120.769. Let q = b - -0.331. What is the closest to 2\/3 in q, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 260*i**2 - 95*i**2 - 133*i**2.\nAnswer: 32*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645114.\nAnswer: 2, 3, 79, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*s + 2332 - 638 = -466 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7127616 + 0.9\nAnswer: 7127616.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a6c5a - 69?\nAnswer: 2a6bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386850429 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 10 = -4*r, -2*r + 6*r - w = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 428\/(-182)) + 6\/(-14)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 18*v - 13. Let t be (15\/(-9))\/(54\/(-324)). What is s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 12) in base 8?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 3*b**2 - 5*b + 4. Let r be g(4). Let y(v) be the second derivative of v**3\/6 - 3*v**2\/2 - 4*v. Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:59 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 7. Let p(l) = -2*l + 6. Let w be p(5). Let a be t(w). What is the units digit of -3*(a - 16\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4, 2, 3\/5, 0.3, 21\/61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 30*n**2 + 4*n - 4. What is the tens digit of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 31, 144, 365, 730?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/1782665?\nAnswer: 2\/1782665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r - 90 = -91*r. Suppose -r*t = -45 - 45. Solve t*d + 7 = 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(18)\/(sqrt(9) - sqrt(225)))**2 - ((1*sqrt(2000))\/(sqrt(80)\/sqrt(2) - sqrt(10)))**2.\nAnswer: -1591\/8 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/15)\/((-1)\/(-5)). What are the prime factors of (9\/12)\/(n\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 13*w. Let c be n(-13). Suppose 2*x - b = -2*b - 14, 4*b + 8 = c. Is (x\/4)\/(14\/(-56)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5958 and 29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -201741 (base 8) in base 7?\nAnswer: -364651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 16556, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794.8921 weeks to hours.\nAnswer: 133541.8728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3691050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(275) - (sqrt(275) + (sqrt(275) + sqrt(275) + 0 + -5)**2))).\nAnswer: -4492 + 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 389 + -130. Suppose -2*s + 5*y = -q - 28, 2*s - 307 = y. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 3*l = 2*l + 239, -11*l - 25 = -16*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**10\/280 + b**6\/15 + 25*b**3\/3 + 19. Let q(l) be the third derivative of c(l). What is the third derivative of q(v) wrt v?\nAnswer: -2160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 2*o**2 + 77 - 48 - 51.\nAnswer: -2*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4959055, 9918108, 14877149, 19836172, 24795171, 29754140, 34713073, 39671964?\nAnswer: 44630807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432\/5 - 2\/5*m**4 + 216\/5*m + 34\/5*m**3 - 36*m**2.\nAnswer: -2*(m - 6)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c**2 - 5*c**2 + 34*c**2 as g + u*c + j*c**2 and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*z - 38 = 42, 2*x + 35 = -5*z. Let g be x\/(-28) - 2\/8. Let j = 0.05329 + -2.05329. Which is the closest to 0.1? (a) j (b) g (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191702?\nAnswer: 2, 3, 101, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160357*x**2 + 801797*x**2 - 160365*x**2 - 160365*x**2 - 160362*x**2 - 160361*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.6, -0.01, 0.09?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x**2 + 0*x**2 + 2 - x**2 - 2 + (0*x + 6*x - 4*x)*(6*x - 3*x - x) + 1 - 2*x**2 - 1 + (1 - 6*x - 1)*(6 - 6*x - 6)*(-1 + 3 - 1).\nAnswer: 38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -868?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-128)\/7 + (-2)\/(-7). Let m be (-6)\/2 - (4 + 3). Let t = m - d. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*o = -o + 14, -5*l + 5*o + 30 = 0. Find the first derivative of -2*n - l + n + n - 3*n**3 wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262.6977 + 6.\nAnswer: 268.6977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 444.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/120*8)\/((-35)\/84)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6448 times -86\nAnswer: -554528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - (5 + -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Let s(r) = -r. Let l(f) = -8*f - 7. Let k(g) = -4*g - 3. Let q(t) = -5*k(t) + 2*l(t). Give n*q(z) + 9*s(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -7423?\nAnswer: 7422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 813.8 + -814. Let s = 10.04 + -10. Let n = -0.14 + s. Is i less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198201962.\nAnswer: 2, 3, 139, 1436693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 152*o**2 - 584*o - 576.\nAnswer: -2*(o + 2)**2*(o + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*p + 9 + 17 = 0, -5*n - 2*p = -30. Suppose -n*q - 3*q - 161 = 0. Let s = q - -39. Solve -u = 4*o - s, 4*o - 37 = -o + 3*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 + 288*n**2 - 31*n + 196. Determine i(-48).\nAnswer: 1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m)*(-14 - 5 - 4 + (-2 - 1 + 2)*(-1 + 6 - 3)).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-5)*(-1)\/((-30)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 49?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = s + 3*s, 3*s + 3*m - 9 = 0. Suppose -l - s = 3. Let f(g) = g + 2. Let j be f(-5). Sort l, j, -2 in decreasing order.\nAnswer: -2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/3*b + 0 - 40\/3*b**2 - 2\/3*b**3.\nAnswer: -2*b*(b + 1)*(b + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45962 divided by -469\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 108, 326, 744, 1428, 2444, 3858?\nAnswer: 5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r - 2. Let c be l(7). Let z = c + -10. Find the third derivative of -2*v**3 + 2*v**3 + z*v**4 + 14*v**2 - 15*v**2 wrt v.\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.975908 rounded to 2 decimal places?\nAnswer: 57.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1273)\/(-95) - 4\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.62469 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 9. Let z be ((-4)\/2)\/2 + -57. Let o = z - -94. Calculate the greatest common divisor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -0.3. Let w = 3225.14 + -3225. Let y = 0.25 - -0.15. Which is the second smallest value? (a) y (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mortrfr. What is prob of sequence fm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 2*v**2 + 0*v**2 + (0 + 2*v + 0)*(-3*v + 3*v + 2*v) + 17*v**2 + 121 - 121.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33957227 and 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 3024 = 6071. Let v = o + -28. Does 39 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00584967 rounded to 4 dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291)\/(-970) - 53\/110?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1479 - -0.1471105. What is c rounded to 5 decimal places?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 1. Let f(a) = -10*a - 12. Let n(q) = -f(q) + 8*o(q). Find the first derivative of n(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19288993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 374992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and 1.62?\nAnswer: 77.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 7*y - 6. Let z be g(2). Let n be (-4)\/(z - 4)*-1*81. Is n at most -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659935987 to the power of 1\/2, to the nearest integer?\nAnswer: 25689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 30. Solve 5*o + n = -13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410320 is divided by 553.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 50 = -2*d. Let h(z) = -6*z + 30. Is 12 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(6 - 60\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/260)\/(6\/(-312))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - (2 + -8 + -17 + 9)) + 1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 26*y - 116700 = 27*y. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233721 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -6*sqrt(1377)*-5)*-1.\nAnswer: -279*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*y - 5*y - 438*y - 1127*y.\nAnswer: -2110*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-534266)\/(-5) + (-177)\/885 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 57*c**2 + 5*c + 417. What is the units digit of w(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -40, 1\/3 in ascending order.\nAnswer: -40, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 2*c + 5. Let j(q) = 11*q**2 - 21*q - 52. Let y(n) = -4*j(n) - 42*u(n). Let d(f) = -4*f. Determine d(y(l)).\nAnswer: 8*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-10) - 8\/(-20). Let s = 4 - b. Let q = s + 9. Calculate the remainder when 37 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 5820?\nAnswer: 23280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + -32. Let g = s + 112.58. What is g rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 423681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 408, 419, 434, 453, 476, 503?\n\"Answer: 2*x**2 + 5*x + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3, -2*q + 44 = -4*d + 10. Suppose 4 = 4*b - 2*v, 10*b = 8*b - 3*v + 10. Suppose 3 - q = -b*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1924852, 3849700, 5774548, 7699396, 9624244?\n\"Answer: 1924848*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/3))**39*(m\/m**(-1\/3))\/(m\/(m**(-1\/3)\/m*m)))**(-47) assuming m is positive.\nAnswer: m**(-611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1770393.\nAnswer: -177039.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 + 219. Suppose -o*a + 57*a = 60. Calculate the remainder when 237 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 + 2*s + 6. Let t be p(3). Suppose -t*c = -v + 10, -6*v + 4*v + 4 = 2*c. Solve -j + v*j = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-9) - (-36)\/180*-35\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 614*x**2\/3 - 47632*x + 2097640\/9.\nAnswer: -2*(x - 458)**2*(x - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3346 and 2702134?\nAnswer: 18914938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + sqrt(1216) + 3*sqrt(1216) + -4 + sqrt(1216))**2 + sqrt(1216) + 4*(sqrt(1216)*-1 - sqrt(1216)).\nAnswer: -440*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/18560?\nAnswer: 1\/18560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 11, 665, -473 in decreasing order.\nAnswer: 665, 11, 5, 3, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one half of a day in seconds?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*r - 289*r - 287*r - 1529*r**2 + 860*r.\nAnswer: -1529*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 71*d**2 - 12*d + 830. Calculate j(71).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 - (-1 + -11 + 6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 186\/1777 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 394671 and 1172?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3041148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/44)\/(2\/(-8)). Let c be 2\/(((-4)\/1)\/12). Let d(x) = -x**3 - 5*x**2 + 6*x - 1. Let q be d(c). Is q not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/7)\/(-140)*-10*8\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 4}. Give prob of sequence jjc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2}. What is prob of sequence sx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 - 2*p + 2. Let n be a(4). Let w(h) = 11*h + 88. Is w(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - -1 - (-178 - -362 - 185).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, h: 3, j: 3, d: 2, s: 3}. What is prob of sequence jb?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 2*j + 2. Suppose -18 = -n - a - 3*a, -24 = -2*n - 5*a. Suppose -n*v = -8, 2*r = 3*v + 12 - 34. Let l = r + 3. Calculate o(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7 - 5.7. Which is the closest to -1? (a) 4 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73573\/2115 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1946 and 9362762.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -12\/5, -10\/9, -1\/1101?\nAnswer: -1\/1101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -21*u + 253. Let g be l(8). Calculate the highest common divisor of 20 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(8\/(-280)*5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*j**2 + 42*j**2 + 4*j**3)*((-4 + 3 - 1)*(0 - 1 + 2) - 3 + 2 - 1 - 4 - 1 + 3).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 13 = 2*o, 2*o + 3*o - 34 = 3*w. Let i = -8 - -9. Let v be w - (i - 4\/4). Let f(q) = -q**3 - 3*q**2 + q + 3. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, d: 2, x: 4}. What is prob of picking 1 d and 3 x?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -m + 3*m = 5*t - 88, t - 2*m - 24 = g. Calculate the greatest common factor of t and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -22 + 3 + (77 - 85)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2227?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 14. Let b be h(9). Suppose -904 = -3*s - b*c, s + 2*c = 121 + 181. Suppose 7*f - 152 = -x + 5*f, 0 = -2*x - 2*f + s. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2806118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 645*x**2. Let v(z) = -323*z**2. What is -6*a(h) - 11*v(h)?\nAnswer: -317*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p**3 - 6*p**2 + 0*p**3 - p**3 + 0*p**3 + 2 - 6*p. Give w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g = 22*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4139 - 0.3.\nAnswer: -4139.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/144)\/(6\/(-8)). What is the fourth smallest value in 2, -3\/4, o, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2 - 1\/5*k**3 + 1\/5*k - 2 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1055 + 300362904\nAnswer: 300361849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 - 3*r - 1. Let s be x(-5). Let f = -3 + s. Solve -z - 3 = 0, 2*l + 0*z + z + f = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.25 (b) -0.24505 (c) 0.3 (d) 6 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-33) + (-320)\/(-264). Suppose -1\/3*q**5 + 1\/3*q**2 + q**3 + 0 - 1\/3*q**4 - n*q = 0. What is q?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/46)\/(15155\/(-278852)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**9\/4536 + f**8\/630 + f**7\/252 + f**6\/270 - 7*f**3\/6 + 5*f. Let p(q) be the second derivative of y(q). Factor p(w).\nAnswer: 2*w**2*(w + 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 19 - (4 - (29 - 5)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 126 - 525 + 127 + 125 - d + 137. Calculate t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five quarters of a kilogram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/20 - q**4\/3 - 5*q**3\/6 - q**2 + 10*q. What is j(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-12 + (14 - 47 - -29)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 12*m**2 - 9*m + 7. Let d = -26 + 37. Let w be n(d). Suppose w = -5*a + 104. Calculate the remainder when 43 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 275*v = -280*v + 138455, 2*n - v = 55361. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4) - 3)*4. Let a = x - -6. Suppose -1\/2*j**3 - 1\/2*j**2 + a*j + 1\/2*j**4 + 1\/2*j**5 + 0 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 56*d - 17. Let g(l) be the third derivative of 19*l**4\/24 - l**3 + l**2 - 63*l. Give 17*g(f) - 6*v(f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwawaawwwwwwawwwa.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 764361 (base 8) in base 4?\nAnswer: 332203301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, r: 5, c: 4}. Give prob of picking 1 c and 2 r.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3\/4, -218.93?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5, -1, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-4 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/289190 + 1677549\/71429930. Calculate the common denominator of 71\/455 and r.\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.2. Let z = -3\/8 - -5\/8. What is the closest to z in 0.1, x, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffsf. What is prob of sequence sf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 26816987073?\nAnswer: -26816987073.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/10)\/((-21)\/(-14)). Factor 2\/5*b**2 + 4\/5 - x*b.\nAnswer: 2*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20045294*t**3 - 2*t**2 + 2392031*t wrt t.\nAnswer: 120271764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 10*y**2 - 12*y + 64. Let a be s(5). Solve 11*o - 18 = 10*o - a*m, 0 = 2*o + m - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144910000 rounded to the nearest 1000000?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546\/(-390)*(-610)\/(-183)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -638600 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 591 - 598. Let k be 42\/(-21)*2\/l. Let 1\/7*q**5 - k*q + 0 - 4\/7*q**4 + 4\/7*q**2 + 3\/7*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12654.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1168.75134 - 0.04866. Round d to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47678, -47675, -47672, -47669, -47666?\nAnswer: -47663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 10 - 22. Is (z\/(-12))\/((-3)\/99) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -p + 3*b, 2*b + 0*b + 20 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:18 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(3 + (-4 - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 4. Let v be a(3). Let x be 1*9\/3 - 1. Suppose x*y + b = 10, b + v = -4*y + 17. Put y, -2, 3\/2 in decreasing order.\nAnswer: y, 3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Are j and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Suppose -3*s + 1 - 7 = -4*p, -3*p + 2 = -s. Let g be o(p). Let b = 1 + -3\/5. Is g >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(216)\/(sqrt(6)*2))\/((sqrt(18)\/sqrt(2))\/sqrt(3)))\/(-5*(sqrt(726) - (sqrt(726)*1 - sqrt(726))*-5)).\nAnswer: -sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpxmpmxxmx. Give prob of sequence pk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -833*x. Let t(z) = 6*z**2 - 266. Give s(t(g)).\nAnswer: -4998*g**2 + 221578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Suppose 3*i - 1 = 5. Suppose -4*b = -2*b - i. Let h(m) = -4*m + 6. Let g be 4 - (10 + 2 + -2). Give b*h(c) + g*a(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-3))\/((-2)\/(-6)). Let c(h) = -h**3 + 13*h**2 + h - 9. Let o be c(13). Let z = s - o. Calculate the highest common divisor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 151019793.2483.\nAnswer: -151019793.2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51*181\nAnswer: 9231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 919*n + 17221. Give a(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3584905 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -22582.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*x = x - 13, -4*k = -x - 5. Suppose -5*z + k*q = -73 - 49, -94 = -3*z - 4*q. Let a = 68 - z. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 12 + -69 + 74 + -8 + 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1974 and 126?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3310 (b) -0.7 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -107, 1 in decreasing order.\nAnswer: 1, 0, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 46. Suppose -13*k + i*k - 206 = 0. Let h = -101 - k. Solve 0 = 5*q - h*w + 31, 2*w = -3*q - 3*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 - 149. Solve 3*b - p + 10 = -4, -p = 2*b + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 + 85. Let w(o) = -220*o. Determine k(w(t)).\nAnswer: 48400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -4 + (-15)\/3. Suppose 4*u + l = 13. Solve -7 = -j - 2*c, u = 4*j + 4*c - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r**2 - 12. Calculate q(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/4)\/(r*r*(r**(-1\/10)*r*r*r)\/r))**(1\/8)\/((r**1)**40\/(r**(-1)*r*r**(-2))) assuming r is positive.\nAnswer: r**(-6823\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1283 divide 10237057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.6 - 50. What is the second smallest value in h, 0.3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-750)*(-90)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 18\/23 (c) 22.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -726 + 1444 - 697 - 2*d**2 - 55*d. Determine k(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 0.04 (c) 1 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 22*c**2 - 8*c - 13. Give m(-22).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176128*d**2 + 176128*d**2 - 511*d**3 + 510*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -8. Suppose -4*k - 4*z + 13 = -63, 4*z - o = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, d: 4, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*8.721\nAnswer: -0.52326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Suppose b*s = -2*w + 14, 2*s - 56 = -5*w - 0*s. Suppose 4*i - 6 - 182 = 0. Calculate the remainder when i is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7607.57 kilometers to centimeters.\nAnswer: 760757000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21785, -43566, -65343, -87116?\n\"Answer: 2*a**2 - 21787*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 14}. Give prob of sequence qqg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 544679750 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 13*u - 7. Let r be l(-13). Let d = r + 10. Suppose -d*n = o - 0*n - 20, -43 = -5*o + 4*n. Solve o = 5*w - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878327 is divided by 607.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -20?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = a + 3*b, -5*a + 2*b + 61 = 0. Let w(j) = -6*j - 11. Let f(r) = 1. Let s(m) = m - 4. Let v(t) = 6*f(t) + s(t). Calculate a*v(y) + 2*w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**0))*c*c*c)**(-14)\/(c**(-10)\/(c*c**1)) assuming c is positive.\nAnswer: c**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13314410\/723 - -55247\/3. Find the common denominator of 9\/8 and w.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 27 = 27. What is the tens digit of d\/12 + 1960\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426886 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*-1 - (-5 + 3). Let i(a) = -8*a**2 + 10*a + 9. Let z(v) = v + 1. Let w(x) = q*i(x) + 6*z(x). Is w(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/11 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o + 3 = 0. Let a = o - -3. Suppose -s = -4*i + 8, -13 = -4*s - i + a*i. Solve 2*w = s*n - 3*w - 5, -w - 1 = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, -1637, -8718, -24559, -52580?\nAnswer: -96201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 14*n**2 - 6*n - 19. Determine b(12).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128310812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8) - 5)\/(165\/(-1056)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b + 43*b - 80*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5751 + -1?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + w + 22, -3*w + 2*w + 59 = -u + 69 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 176*h + 1. Let o be a(1). Suppose f - o = -2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*l - 2 = -5*d, 0 = -2*d - 2*l. Solve a = -d*n - 2 - 5, 4*n + 11 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*r - 1205 = 0, -5*d - 580 = 3*r - 1785. Let t = 241 - d. Solve 5*q + 50 - 35 = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116168365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-465)\/4025 + ((-24)\/(-690))\/(12\/30))\/(-1).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjj when four letters picked without replacement from xjjjxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, -9, 2, -1 in decreasing order.\nAnswer: 456, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1006 - 886.8. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) + sqrt(1920)*-2 - sqrt(1920))*-3)\/((sqrt(1440) + (sqrt(1440) - (sqrt(1440) - sqrt(1440)*3)))*4) + 2.\nAnswer: sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.41 - -0.41. Which is the closest to -0.2? (a) 0 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109*p + 52*p - 24 + 54*p)*((-2*p + 9*p + 2*p)*(-5 + 3 + 1) + 4*p - 5*p - p) to l*p + i*p**2 + g and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*z = -25, o - 2*z = -5*z + 11. Suppose -w + 59 = 5*a, -o*a - 5*w + 3*w = -58. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + b1b44?\nAnswer: b1b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 1202 + 595 + 607 + 23*a in the form f*a + z + g*a**2 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from mzzmmmzmzmmmmmmmmmmz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-5 + -17 + -30 + 38 - -2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 9\/10 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.976744ml?\nAnswer: 0.000976744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10446664 divided by 2611666\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, g: 2}. What is prob of sequence gg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8322734*y**3 - 4161365*y**3 - 4161419*y**3 + 1.\nAnswer: -50*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**4 + 5*t**3 + 6*t**2 + 5*t - 3. Let q(h) = h**4 + 4*h**3 + 6*h**2 + 4*h - 3. Let w(a) = 5*q(a) - 4*s(a). Factor w(p).\nAnswer: -3*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/1 + (-12 - -7). Solve 6 = -0*p + i*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.06962 microseconds to milliseconds.\nAnswer: 0.05906962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 23. Give c(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*c - 68 = 0, -6 = 2*i - 4*c - 14. Let h be 543\/6 + (0 - i\/(-8)). Suppose s - h = -s + 5*m, 2*s + 2*m = 64. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -243\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9746, 4, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -726\/7 - -1459\/14. Let r = -2 + 0. Put -2\/13, w, r, 0 in decreasing order.\nAnswer: w, 0, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-2)\/2)\/(15\/10). Let q(h) = -h - 4. Let o be q(-6). Suppose 0 = -0*u + o*u - 6. Solve u*v = x*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Let o be (-10)\/(-15) - z\/(-3). Find the first derivative of o*y - 2*y - 2 + y wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*(-12)\/(-18))\/((-4)\/(-138)). Suppose -174 = 20*w - z*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 156138672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 29. Let g be (-12 - o)*6\/(-15). Suppose -3*v = 7 + 2. What is the smallest value in g, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -319, -362, -439, -562, -743, -994, -1327?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:34 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x + 1 + 21. Calculate the least common multiple of 18 and ((x - -162) + -1)\/((-21)\/(-14)).\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9\/5)\/o**(13\/3) assuming o is positive.\nAnswer: o**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -8 + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -210314 (base 5) to base 14\nAnswer: -2771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8556 and -19\/496.\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let t = 2.8 - 17.8. Let s = t + 10. What is the nearest to r in -0.5, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 39*j**2 + 6*j - 2. Let u(a) = 26*a**2 + 4*a - 1. Let i(z) = -277*z**2 - 545*z + 10. Let b be i(-2). Determine b*u(n) + 5*f(n).\nAnswer: -13*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by -5 + (1016\/28 - 24\/84).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 - 289 = 0. What is r?\nAnswer: -34, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 5*m**2 - m + 9. Let q be r(-4). Let g = -58 + q. Suppose 0 = z - 5, b - 5*z = g*b - 377. What is the greatest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -866.87 * 277.5.\nAnswer: -240556.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9.7. Let n = q + 3.3. Let i be 9\/(-27) + 7\/12. Which is the biggest value? (a) n (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwg when three letters picked without replacement from wwwwwwttgwwwwgwgw?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - (-25 + -2 + 51)) + 1 + 12\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12090 divided by -2\nAnswer: -6045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -1367*n**5\/30 + 5*n**4\/24 - 5*n**3\/6 + 1224*n**2. Find the second derivative of t(a) wrt a.\nAnswer: -5468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8 - 7. Suppose b*l = 2*l. Suppose -4*j - 7*s + 3*s + 16 = l, -8 = j + 4*s. Calculate the highest common factor of j and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 393992097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27312550 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 13) to base 3\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13084, 21484, 29884, 38284, 46684, 55084?\nAnswer: 63484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.8445 rounded to the nearest integer?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 316, 1083, 2350, 4111, 6360, 9091?\n\"Answer: -t**3 + 256*t**2 + 6*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 2*p - 1. Let m be f(-1). Let z(l) = -l + 6. Let r be z(m). Solve -r*w - 3*k - 29 = -7*k, 5*w = 2*k - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 132. Let f = 201 - 195. Which is the nearest to f? (a) -4 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.192 - 96.778. Let w = x + 2.97. Which is smaller: 2\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 35*k - 73*h + 70*h, -5*h = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39828287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 5, 213 in decreasing order.\nAnswer: 213, 5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/8)*f**(-3\/22)\/f*(f**(-2\/39))**(-2\/49) assuming f is positive.\nAnswer: f**(-85643\/168168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/16 + -2)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-57))\/(10\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6.7. Let v = -0.2 - -0.1. Which is the third smallest value? (a) 3 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -3)\/(172\/(-173333)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203113 is divided by 6078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.7 - -0.5. Let a = 6.2 - f. What is the closest to -1 in -0.5, 2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 563 = -5*w, -4*i + 1242 = 4*w + 46. What is the least common multiple of i and 1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)\/(v\/(v*v**8)))**(5\/12)*(v**(-1\/4))**(-24\/5)\/(v\/(v*v**(-2))*v*v*v*v*v*v**(2\/21)*v) assuming v is positive.\nAnswer: v**(-2419\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 676450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 28*c**2 + 28*c - 30. Determine g(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y + (0 + 0 - 2)*(-1 + 1 - 2*y))*(4*y + 0*y - 2*y + (3*y + 4 - 4)*(-1 + 2 - 3)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -34*c - 14. Let j be z(3). Is 23 a factor of (-1651)\/(-4) + (-145)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513489583 to the power of 1\/2, to the nearest integer?\nAnswer: 22660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166925 is divided by 123?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**2\/2 - 13*q + 3. Let l(c) = -c**3 - 7*c**2 + 7*c - 8. Let x be l(-8). Give h(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - s = -19, 0 = y - 2*s - 11. Let l = -4 + y. Solve -2*h = -2*o - 16, 0 = -0*o - o + l*h - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -369?\nAnswer: -11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 - 1383*j - 12601. Give d(-188).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -25*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 38*f - 122 = -0*r + 2*r - 120, 0 = -4*r + 4*f + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325.4 - 325. Let d be (-6)\/(-10) + (1 - 2). What is the closest to d in c, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/16)\/(-1))\/((-201)\/3752)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z + 1. Let b(a) = -32*a - 2. Calculate -3*b(o) - 8*j(o).\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*t + 5655, -3*w - 2945 + 10005 = 5*t. Let g = -22776\/5 + 119199\/20. Let n = t - g. Find the common denominator of -44\/53 and n.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 15 = 2*i - 5*i, 46 = -2*m + 5*i - i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(3\/48*8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/30 - -1\/6. Let y(o) = 0*o**2 + o**3 - 2*o**3 - 19*o + 10*o**2 + 27*o + 37. Let r be y(11). What is the nearest to 5\/2 in l, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30 and 35\/111129.\nAnswer: 1111290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 + 2*b**2 - 2*b - 7. Let n(h) = -11*h**3 - 5*h**2 + 4*h + 15. Let k(w) = -13*l(w) - 6*n(w). What is k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + -413\nAnswer: -412.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**3 - 11*c**2 - 13*c + 15. Let h(l) be the first derivative of 5*l**4\/4 - 5*l**3\/3 - 3*l**2 + 7*l + 2. What is -6*b(j) + 13*h(j)?\nAnswer: -j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1881544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**3\/9 - v\/3 + 4. Factor j(i).\nAnswer: (i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*2829\/69782.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228 or 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 7*j**5\/60 + 61*j**4\/24 + 429*j**3 - 1113*j**2. Differentiate m(t) with respect to t.\nAnswer: 14*t + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13782\/1453 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -122 + 138 - (36 - 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 121*d - 1455. Let u be r(-11). Let x be -3 + 0 + (-2 - 0). Let k(p) = p**3 + 6*p**2 + 5*p + 1. Let a be k(x). Put a, u, 3 in descending order.\nAnswer: 3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 8:42 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.040985049?\nAnswer: 0.0163940196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17*k**3 - 2*k**2 + 2*k - 77. Let z be l(0). Sort 3, -1, z.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -0.0580615640153.\nAnswer: 6.9419384359847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21796067128955 and 9.\nAnswer: -21796067128946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2834*n**4 + 372*n**2 + 4 wrt n?\nAnswer: -68016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and -116.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-22 + 13)) + -16 + 0\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -0.1 (c) -1588\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 205 = 4*c, -4*b + c - 6*c + 274 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -2 + 0 + (134 - 137) + -14?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * 0.24.\nAnswer: -4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 213 - 103 - 110.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13170 by 5.\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1, 0, 4.1, -3\/4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1775*q**8\/336 + 7*q**5\/15 - 3*q**3 + 1155*q**2. Find the third derivative of o(r) wrt r.\nAnswer: 106500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 10 + 10. Put 1, -0.1, q in ascending order.\nAnswer: -0.1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31 + 29 + 0*p**2 - p**2 + 4*p. Calculate d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 631477 and 631477?\nAnswer: 631477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1\/7)\/u)\/u)\/((u**(1\/5)*u)\/u))\/(u\/((u**(-1\/9)*u)\/u))**(-3\/20))**(10\/9) assuming u is positive.\nAnswer: u**(-247\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 45*r**3 + 1. Let n = 1 + 0. Is 24 a factor of s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 646 = -2*o - 8*h, -o + 323 = -3*h. Let i = -115 + o. Let a = -111 + i. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6, 2*n + 3*v = -v + 6. Calculate the smallest common multiple of 20 and ((-99)\/22)\/(n\/4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = z - 100824. Suppose 2*l + 4*j + 12440 = 0, -5*l - 35231 = -4*j - z. Round l to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p + 19 = 0, -4 = 4*z - 5*z + p. Let i = 22891\/13 - 1761. Which is the closest to 1\/3? (a) i (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -623886.00056 - -623909. Let d = -0.56 + -22.44. Let w = d + u. Round w to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 678605 to the nearest 1000.\nAnswer: 679000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 448 - 446. Factor -3*s**2 + 33*s - 12*s**2 + 12*s + 12*s**b.\nAnswer: -3*s*(s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 142*p**2 + 1074*p + 15. Let g be q(-8). Are g and 1401 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-75243)\/(-12))\/(259\/888).\nAnswer: 2, 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-21)\/r)*r*r**(-18))**44 assuming r is positive.\nAnswer: r**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396 by 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.92582 micrometers to millimeters.\nAnswer: 0.02092582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a hour in minutes?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 477\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*u + 300*u - 126 = 0. Suppose -15*o - 94101 = -u*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/117586 and 43\/111.\nAnswer: 352758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1408)\/234 + (8 - -3) + (273 - 278).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d + 5*j, -2*d + 2 = 6*j - 4*j. Suppose -2*z - 5*p + p = -36, -d*z - p = -64. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/30 - 3*z**5\/20 - 3*z**4\/4 - 5*z**3\/6 - z - 49. Factor m(v).\nAnswer: v*(v - 5)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 1717 + 639 - 608 - m.\nAnswer: -12*m + 1748","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -5 + 1\/3*c**3 + c + 0*c**2. What is t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96892 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 1) + (-38 - (-25 + -15))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28533 - 1259*q**2 - 28533 - q**2 + 0*q**2 - q**2 + (-3 + 2 - 1)*(-q**2 + 2*q**2 + 0*q**2).\nAnswer: -1263*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 147 = 3*a - 4*x, 3*a + 2*x + 17 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5)*(a**5 - 6*a**5 + 4*a**5).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 536\/5628*7\/(-4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -930 or -929?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-30) + (-60)\/50. Suppose -4*m - 5*s - 11 = 0, -4*s + 2*s = 6. Let g be (((-108)\/22)\/3)\/m. Is g bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j**(1\/2)*j)**(-22)\/(j**(-5\/4)\/j**(1\/2))**(-21) assuming j is positive.\nAnswer: j**(-1689\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95.1 + 102. Let k = 58.9 - 51. Let q = k - o. Which is the third biggest value? (a) -2\/5 (b) -3 (c) q (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*w - 515, -4*w - u - 2*u = -377. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -9. Let j(i) = -i**2 + 8*i - 6. Let z be j(o). Solve -5*v + 14 + z = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 78 = -2*h. Let l = -12 + 82. Let i = l - h. Calculate the remainder when i is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/56523 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 + -1438\nAnswer: -1437.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/3)*u*u)\/u**(-3\/2)*(u*u\/(u*u\/(u*u*u*u*((u\/(u*u**1*u*u))\/u)\/u*u*u)*u)*u*u)**(-1\/4))**10 assuming u is positive.\nAnswer: u**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 212296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydg when three letters picked without replacement from {g: 4, y: 1, n: 2, d: 9, w: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 3. Let v(l) = -4*l + 8. What is -3*v(t) + 8*z(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/10*(-1290)\/12. Let k = n + -35. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474877 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -33*u**2 - 2*u + 4. Let h be x(-4). Let k = 5649\/11 + h. What is the common denominator of k and 49\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 72 = -7*i. Let c = 10359\/10 + -1043. Calculate the common denominator of 1430\/(-280) - (9\/i + 1) and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -268, 2\/5, -2, -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80185 is divided by 13364.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 90, 162, 252, 366, 510, 690?\n\"Answer: t**3 + 53*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 4*x - 2. Let j = 79 + -78. Suppose -v = -j - 6. Suppose 2*t - z = v, -3 - 2 = -5*z. Calculate q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 23 = 2*b, -4*b - 5*f = -f + 16. Suppose -110*l + 112*l - 10 = -6. Sort 0, l, 3, b.\nAnswer: 0, b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((72\/(-40))\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwww when four letters picked without replacement from {w: 6, b: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69468, 138936, 208404, 277872, 347340?\nAnswer: 416808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9973*i**2*y**3 + 6*i**2*y - 20*i**2 - 12*i*y**3 - 743*i*y**2 - 22*i*y - 2*y**3 + 2*y + 1 wrt i?\nAnswer: -19946*y**3 + 12*y - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n*n\/n**(-4\/9)*n))\/(n\/(n\/((n*n*n**23\/n)\/n))))\/(n**(2\/17)*n**(-4\/3)\/n) assuming n is positive.\nAnswer: n**(-3248\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/2 - 183826\/12026)\/(1 - (-247)\/(-245))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120139 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2 + (-3 + 2 + 0)*(3 - 1 - 1))*((0 - 3 + 1)*(s + 2*s - s) + 0*s - 2*s + 4*s + 4*s - 3*s + 0*s - 12*s - 7*s + 14*s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(4\/7))**14\/(((q**(-8)*q)\/q)\/(q*q**(-12)\/q)))**37 assuming q is positive.\nAnswer: q**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, -117, 29.\nAnswer: -117, -8, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 44 + -33 - -35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -39. Let q = c - 28. Is q not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 869063.5 litres?\nAnswer: 869063500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*n + 18 = 591*n. Let m(z) = 2*z + 8. Calculate the smallest common multiple of n and m(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1*15\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 5 (c) -2239\/4 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/156)\/(11850\/25675).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z. Let t(h) = 2*h. Let d(v) = -11*t(v) + 6*w(v). Let k(l) be the first derivative of -4\/3*l**3 + 0*l**2 - 1 + 0*l. Calculate d(k(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.583216ml in litres?\nAnswer: 0.003583216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, -9\/35, 29?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/4 (b) 12 (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -1\/3, -3, -60.6?\nAnswer: -60.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - -11131?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -55143333602?\nAnswer: -55143333601.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 7. Calculate q(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 61. Suppose -y*l = -4*l - 2*l. Let o be 1\/(1 - 2\/(-4)). Sort l, o, -3 in descending order.\nAnswer: o, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -12 + 0*h + 2\/9*h**3 - 2\/3*h**2. Let n(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23790, -49346, -76646, -105684, -136454, -168950?\nAnswer: -203166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232 (base 4) to base 5.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + -2 + (3 - -80 - 2) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.1 - 5.1. What is the fourth smallest value in -0.2, i, 5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w**2 + w - 1. Let m(i) = -5*i**3 + 8*i**2 + 4*i + 1. Calculate -4*l(r) + m(r).\nAnswer: -r**3 + 4*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05799615 rounded to three decimal places?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*f + 10, -3*d = -8*d + 2*f - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.1, -4, 2\/7.\nAnswer: -4, -2\/5, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - h - 18, -4*h = q + 9. Suppose 4*c = q*c + 5. Solve -c*t + y = 2*y - 16, -8 = t + 3*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4284 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*d + 7 - 35, o + 25 = -3*d. Let q be o\/6*33\/(-22). Suppose 0 = 2*c + 4*p - 1598, -c - 3*p = -q*c + 2442. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 13*i**2 + 12*i + 1. Let u be v(-12). Let a be (-1 - u)\/((-12)\/18). Suppose -w + 5*c + 2 = -0*w, 5*w = -a*c + 66. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*q, -4*c + 8660 = -5*q - 1282. What is the highest common factor of 2301 and c?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - z**2 - 4*z + 9*z. Let u(s) = s**3 - s**2 - 5*s + 1. Let y be u(3). What is the units digit of g(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166060 or 166061?\nAnswer: 166060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 32. Is 12 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -cc19?\nAnswer: -cc35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -4, 1, -3\/7, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-27))\/((-8)\/11). Let x = w + 337\/396. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 51*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 5921\nAnswer: 2\/5921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9511000 to the nearest one hundred thousand.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77880*n**5 - 20*n**4 - 3*n**3 - 9019*n**2 - 332 wrt n?\nAnswer: -4672800*n**2 - 480*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85617, 86482, 88813, 93342, 100801, 111922, 127437, 148078?\n\"Answer: 122*q**3 + q**2 + 8*q + 85486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-2\/45)*(x**2)**(-1))**(-49) assuming x is positive.\nAnswer: x**(4312\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97748 divided by -7.\nAnswer: 13964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 7*g**2 - 3*g + 7. Let s be u(7). Suppose -5*n - 66 = n. Let m = n - s. Solve 0 = -m*f + 1 + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(84)\/sqrt(4))\/sqrt(3)*-3 + (sqrt(77) - (sqrt(77) + sqrt(77)*-1)*-1)\/(sqrt(11) + (sqrt(77)*2)\/sqrt(7)).\nAnswer: -35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utp when three letters picked without replacement from luptuni?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 1, o: 4, u: 1, t: 8}. What is prob of picking 1 b and 1 y?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let c(d) be the third derivative of -d**4\/8 + 35*d**3\/3 + 47*d**2. Determine c(p(a)).\nAnswer: -6*a**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b - 2*h, 5*b - 4*h + 7*h = -12. Let j = b + 5. Suppose -j*n = 3*f - 245, -5*f + 200 - 745 = -4*n. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*h + 5*a + 9, 0 = h + 5*a. Suppose -4*w = 2*k - 602, 2*k + 746 = 5*w + 16. Calculate the remainder when w is divided by ((-46)\/8 - h)*(1 + -41).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-24) - 189068\/72. Let w = s - -2627. Calculate the common denominator of w and 119\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/2*(-12)\/3)\/(7\/7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*h**3 + 0)*(-1 + 6 - 3)*(-39 - 5*h + 39) to the form m + d*h**3 + s*h + a*h**2 + k*h**4 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18 + 5 - 0\/1. Suppose -3*d = 2*w - 0*d + 5, -3*w - 16 = -4*d. Let i = w - l. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 60167211986.\nAnswer: -60167211990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6 + 3*j**3 - 128*j + 3 + 11*j - j**3 to the form i*j**3 + w*j**2 + c + u*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 115251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(120) - -3*sqrt(120))\/sqrt(10)) - (-4*(-1*sqrt(204) - sqrt(204)))\/sqrt(12).\nAnswer: -31*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**4\/s*s\/s**(-12))\/(s*s\/(s*s*s*s**(-3\/7))*s**(-12)*s))**(11\/6))**(15\/2) assuming s is positive.\nAnswer: s**(10615\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1516*j**2 - 21231*j + 19. Calculate s(14).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -0.3, -4, 5 in descending order.\nAnswer: 119, 5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 - 147\/(-42). Solve 3*c - 4 = -r + 3*r, -24 = n*r + 2*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 8) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 - -115. Let r = -2 - -1.5. What is the smallest value in r, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let a be o(0). Solve -2*h + 2 - 10 = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-11))\/((-283)\/(-3113)). What is the second smallest value in n, 0.11, 0.15, 0.2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781690976 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -174, -26 in descending order.\nAnswer: 2, -26, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**3 - 18*j**2 - 38*j - 22. What are the prime factors of n(-10)?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let f(w) = -w. Let v(n) = 6*c(n) + 10*f(n). Let s(d) = 2*d. What is s(v(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -12, -4\/3, 0 in descending order.\nAnswer: 2, 0.1, 0, -4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.5. Let b = 0 - v. Sort -0.4, -0.5, b in decreasing order.\nAnswer: b, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6609 - 6537 = -626*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = -11*k - 322*k + 4235 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -2*k - 11*h, 0 = 4*k - 2*h - 145 + 159 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1)*10*147\/(-420)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*d = 2339 + 3459 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*14\/539)\/((12\/(-55))\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 7a?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 + 6 = -3*y, -2*y - 36 = -4*p. What is the remainder when 128 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:10 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6462295 and 595?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*w - 157*w + 27*w - 58*w**2 - w + 46*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2604 or -38964?\nAnswer: 2604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t, -a + 4*a = 4*t + 16. Suppose -a*n - k + 24 = 0, -6*n - 5*k + 40 = -2*n. What is the remainder when 29 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/9 - 96\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - n - 43, -3*n - 2*n = -4*w + 39. Let t = w + -11. Suppose -4*z + 3 - 11 = t. Sort z, -3, 0 in decreasing order.\nAnswer: 0, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b + 2. Let s be r(3). Let p(v) = -v - 1. Let q(k) = -3*k - 6. Let x(y) = s*q(y) + 2*p(y). Is x(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741003561 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/9446 - -349385\/368394. Find the common denominator of v and 254\/153 - (-10)\/(-34)*272\/(-680).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a - 2*a**2 + 4*a**2 + 0*a**2 - 15*a to i*a + l*a**2 + b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 153*m**2 - m. Let u(b) = 2714*b - 5425*b + 2714*b + 4 - 4. Calculate u(d(v)).\nAnswer: 459*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2419656 and 2952?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**2 + q + 2. Let s(c) = -c**2 - 15*c**2 + 2*c - 645 + 650. Determine 8*f(o) - 3*s(o).\nAnswer: 8*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.2, 1\/3, -67098\/7, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 + 8. Let w be q(7). Let d = w + 20. What is the units digit of 2\/(-5) + d\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 0*a + 3\/2*a**5 + 3\/2*a**3 + 0*a**2 + 0.\nAnswer: 3*a**3*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*g - 6278 = -213*g - 190*g + 274 for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1219361 and -101\/17054.\nAnswer: 2438722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -108. Let p be (-30)\/6 + (-14)\/o. Do 56 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -1370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-7*(3 - (-62)\/(-14)). Suppose 652 = 6*i - q*i. What is the units digit of (1 - i\/3)\/(6\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o**(1\/4)*o)))\/(o**1*o)*(o*((o\/o**1)\/o)\/o*o)\/(o*o*o*o**(4\/7)\/o) assuming o is positive.\nAnswer: o**(-121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250 or -35\/3?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1. Let k(s) = -8 - 5*s**2 + 4 + 3*s**2. Let p(j) = -4*h(j) + k(j). Let a(u) = 6*u**2. Determine p(a(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -19\/2254 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/((-1)\/(7\/14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -631 - -2431. Let b = m + -960. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(119)\/(sqrt(700) + sqrt(700) + -1*sqrt(700) + sqrt(700)) - (2*sqrt(3264) + sqrt(51))\/(sqrt(81)\/sqrt(3)).\nAnswer: -337*sqrt(17)\/60 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -16. What is the nearest to b in -3, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 22\/4)*5*2. Let k(u) = 5*u**2 + 2*u - 2. Let x(r) = -35*r**2 - 15*r + 15. What is p*k(g) - 2*x(g)?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9838 = -4*m, 4*m - 24 + 8 = 0. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91074870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 16)*(2*b - 3 + 1 + 0*b)*(b**3 - 2*b**3 - 2*b**3) to t + j*b**2 + w*b**4 + q*b + f*b**3 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2477674*q**5 + 1032042*q**2 wrt q.\nAnswer: 148660440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 + (5 - (12 - 4)) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1431335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(2))**2 + sqrt(72).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 5, 12, -2.8, 6.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5 - 0) + 7)\/((-30)\/9). Which is the second biggest value? (a) -1\/6 (b) s (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 12655504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 1081*a + 125264. Calculate h(132).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10200101002102 (base 3) to base 12\nAnswer: 7a3b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -271 + 290 - (-4 + 140 + -11).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -67 - 44 + 45 + 2*a + a. Let r(n) = 3*n**2. What is r(p(k))?\nAnswer: 27*k**2 - 1188*k + 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + i - 7, -3*j + i + 1 = 0. Let s = 3 - j. Suppose -4 = 3*r + 3*y - s, -26 = -2*r + 5*y. What is the greatest common factor of 21 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1419 and 47\/1161.\nAnswer: 12771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 84*p + 28 + 31 to l + v*p and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/782 and -73\/238.\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g. Let f(j) be the third derivative of j**5\/30 + 7*j**2. Give f(c(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -136, 29, -3, 0, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*q + 370*q = 18900. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -466 + 468. Let h = -7 - -3. What is the nearest to d in h, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.019 - 56. Let k = d - 0.019. Let y = 1 - 1. Which is the second biggest value? (a) -5 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 6*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f**3 + 234516*f**2 + 156347*f\/2 + 13029\/2 = 0. Calculate f.\nAnswer: -1\/6, 13029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = 84. Suppose -4*h - 2*z = -38, 4*z - 46 = -5*h + 2*z. Let b be ((-1)\/2)\/((-1)\/h). What is the highest common divisor of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -438 divided by -16575\nAnswer: 146\/5525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-29 + (26 - 12) + 43)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178976 and 11633440?\nAnswer: 11633440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-7 + 1)) + (-1 - 24). Let f = l - -27. Sort -2, f, -5.\nAnswer: -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76780 and 1120988?\nAnswer: 5604940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*p - 4*y + 46, 6*p + 16*y - 170 = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**3*m**3 - 2*k**3*m + 10996*k**3 - 2*k**2 + 2*k*m**3 - 319*k*m**2 + 20*m**3 - 1 wrt k.\nAnswer: -18*m**3 - 12*m + 65976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 1024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdss when four letters picked without replacement from mfdsess?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -3*h**5\/35 + 15879*h**4\/14 - 5335848*h**3 + 65868365049*h**2\/7 + 131848814667*h\/7 + 9119. Solve x(q) = 0 for q.\nAnswer: -1, 3529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k + 1534500 = -25*k. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5\/3 - 112*a**4\/3 + 781*a**3\/3 + 83*a**2\/3 - 560*a\/3 - 196\/3 = 0. Calculate a.\nAnswer: -1\/2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3698991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-17\/5)\/(k\/(k**28\/k)*k)*k*k**13\/k*k*k\/(k**(-1\/2)*k)*k assuming k is positive.\nAnswer: k**(371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175935.\nAnswer: 3, 5, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33476584 is divided by 4782353.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 40*g + 200 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3040 and 15?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 - 183. Let p(x) = 5*x**2 - 35*x + 41. Let g be p(v). What is g rounded to the nearest 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g + 2*q - 4*q, 5*g + 3*q = -6. What is the nearest to -0.1 in g, -122, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2066 (base 9) to base 5\nAnswer: 22033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 5291\/55)\/((-4)\/(-10)). Let g = 228 - j. Calculate the remainder when 197 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-4) - (6825\/(-70))\/(-65). Suppose -d - 29 = -5*y, 6*y - 2*y + d - 16 = 0. Solve 3*h + 25 = 4*l, -n*l - y*h = 2 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67565 less than 0.3?\nAnswer: -67564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12100001000 (base 3) to base 11\nAnswer: -71988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*u**5 - 305*u wrt u?\nAnswer: 1640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -69 and 841.947.\nAnswer: 772.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 793369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2531798 and 41\/688.\nAnswer: 870938512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 97. Let y = 63 + w. Suppose -a - 3*v - 946 = -y*a, 1179 = 5*a - 2*v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 17. Solve s = -2*i, 3*j + 0*i - 3 = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) - (-42)\/8. Suppose -f*n - 4 + 42 = 2*j, -n - 26 = -2*j. Let z = j + -11. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 29\/2*j**2 + 0*j - 1\/3*j**3 + 11. Find the second derivative of l(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/15)*o**1*o**(-1\/4)\/o**(-5))\/(((o\/(o\/o**5)*o*o)\/o*o**(-1))\/(o**(1\/4)*o**(-6))) assuming o is positive.\nAnswer: o**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7042, -14085, -21128?\nAnswer: -28171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10317\/12586 + 43\/58. Let j = f - 2\/31. Put j, -2\/19, 1\/3 in ascending order.\nAnswer: j, -2\/19, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 22 = -2*t + 2, -4*t = -5*o - 33. Suppose 3*b - 27 = -5*f + t*f, -3*b + 17 = 5*f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 53*y - 317. What is b(-10)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r - 2*r + (3 - 1 + 0)*((1 + 0 + 1)*(-r + 3 - 3) - 4*r - 6 + 6).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15361, -30665, -46015, -61411, -76853, -92341, -107875?\n\"Answer: -23*n**2 - 15235*n - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931)*1)**2.\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.890113053 rounded to four dps?\nAnswer: -14.8901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102020020201 (base 3) to base 7.\nAnswer: -6252622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -19) + -13 - (-8 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96842399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6354743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143631?\nAnswer: 3, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*u - 0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) 8 (c) 7\/2 (d) -17.6 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4766?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 4:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 19. Let k(l) = l + 3. Calculate the lowest common multiple of k(7) and p(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4699 and 2183?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212257631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 722 (base 9) to base 6\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275574827 a multiple of 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxex when four letters picked without replacement from xxxexhhp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - r = -7, 0*q - q = r - 2. Let f be (0 - 0)\/(1 - 0). Suppose 0 = -2*b + 5*w - f*w + 12, b - 2*w - 6 = 0. Sort -2, b, q in descending order.\nAnswer: b, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.378463489 - -4?\nAnswer: 2.621536511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81.23 < 15365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/3*(-80)\/(-48)*(-58)\/(-145)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302632 - 205?\nAnswer: 302424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:17 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -73. Suppose 0*g - o = 5*g. Let c(b) = -15*b - 62. Calculate the remainder when c(g) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeme when four letters picked without replacement from zezezemmeeeiyzzizzze?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88 + 3?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 232064?\nAnswer: 232101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*v = 15, r - 9 = -0*r - 3*v. Let a be r\/15 + 1*-13*-1. Let j be (2 - -13)*a\/39. What is the highest common divisor of j and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17011230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500 divided by 2.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 5*d)*(0*d**2 + d**2 + 2*d**2) + (2*d**2 + 5 - 5)*(-2*d - d + 2*d) - 5*d**3 + d**3 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (0 - 1)*2. Suppose -m*r + 4*r - 4*d - 346 = 0, -4*d = r - 197. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/15)\/(8\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 38. Let u(m) = m**3 - 12*m**2 + 2*m - 14. Let j be u(p). Let h be (-2)\/j + (-78)\/(-15). Solve h*b - 2*l = -0*l - 25, 3*l = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253212*-41.\nAnswer: 10381692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mooo when four letters picked without replacement from {o: 5, m: 11}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1306 + -1309. Which is the biggest value? (a) 0.1 (b) -2\/17 (c) j (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5 = -d, 2*h = 2*d - 21 + 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*1 + sqrt(2) + (sqrt(16)\/(sqrt(48)\/sqrt(6)) - sqrt(2)) + sqrt(2) + sqrt(242)*2*4.\nAnswer: 94*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15086182 = 2*s + 3*h, 337*s - 339*s = h - 15086194. Round s to the nearest 10000.\nAnswer: 7540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*u**2*v + 6*g**3*u**2 - 29*g**3*v**3 - 21*g**2*u**2*v + 114*g**2*u*v**3 - 2*g*u*v**3 wrt g?\nAnswer: 6*u**2*v + 36*u**2 - 174*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 1605 = 345. Calculate the greatest common divisor of u and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w - 7. Let h be y(-7). Let q = -106 + 60. Let x = q + h. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 4:43 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 - 1. Let i = 1.55 + -121.55. Let y = i + 124. Which is the biggest value? (a) k (b) 5\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 24*p**2 + 5*p + 6. Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -109, -99, -85, -67, -45, -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 0, -2184 = -3*f - k - 444. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1719.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {n: 2, w: 3, p: 6, k: 1, z: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -3, 2, 19, 54, 113, 202?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - -1. Let v(l) = -3*l - 12. Let b = -6 + -2. Let z be v(b). Calculate the greatest common factor of d and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + 2*h)*(-3*h**2 + h**2 + h**2) - 3*h**2 + 3*h**2 + h**3 + 2*h**2.\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269996?\nAnswer: 2, 67499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 29. Let o = -10 - z. Suppose o*b = -4, -2*d - 4*b = -0*d. Let u(y) = 5*y - 1. Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2144423, -2144365, -2144307?\n\"Answer: 58*a - 2144481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*u + 18 = 4*s, -5*s + 2*u = -11. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4252375841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Let l be (d + 1)\/((-4)\/16). Let f(q) = q**3 + 6*q**2 + 5*q - 4. What is f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -4125?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a day in seconds?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8877.01728543 take away 3?\nAnswer: -8880.01728543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -11 - -28 - -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3162*l + 68742 + 32442 = 0 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {u: 3, i: 2, e: 2, n: 1, z: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*h - 3*h**3 - 251*h + 0 + 5 + 126*h + 2*h**2 - 3*h**3 as p + q*h**3 + n*h + z*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34731057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 1.1. Let a = -0.3 - -0.5. Let i = a + -0.3. What is the closest to -1\/4 in 2, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -7, -11, -95, 7 in increasing order.\nAnswer: -95, -11, -7, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 37900*s**3 + 113670*s**2 + 113660*s + 37885 = 0 for s.\nAnswer: -7577, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.29 - -1.71. Let n = -0.012 + -4.788. Let z = -5 - n. Which is the nearest to 2\/3? (a) -5 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2715 from -0.84.\nAnswer: -1.1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 2*s**2 + 5*s - 4. Let n be m(-4). Suppose 5*w - 225 = 215. Let h = w - 73. Solve -3*b = -n*b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 5*i - 5. What is h(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483159 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 + 8797*g**4\/5 - 10561*g**3 + 114427*g**2\/5 - 105632*g\/5 + 35212\/5 = 0.\nAnswer: -8803, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -270*y + 1079. Give n(3).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 40*h + 1. Let n be k(5). Suppose 5*b + 4*q - n - 3338 = 0, 3*q = -2*b + 1417. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*1\/1 + -1. Let k be u\/(-27) - (-182)\/9. Solve 3*x - 8*x + k = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -1870 - 12266. Let m(z) = -121*z + 6. Let w be m(5). Let h = w - a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.188226 years?\nAnswer: 0.07188226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1195208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 - 6*f - 6. Let i(m) = 20*m**2 - 11*m - 11. Suppose -59*g - 3*j - 30 = -62*g, g - 3*j - 8 = 0. What is g*x(r) - 6*i(r)?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -467550 divided by 10390?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)\/l)\/(l**(-18)*l))**(16\/7) assuming l is positive.\nAnswer: l**(776\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 5935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783*k - 303*k - 1 + 328*k - 194*k.\nAnswer: -952*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/4 - p**2\/2 - p + 1. Suppose -t - 4 = -2*b + 4*t, 10 = 5*b - 2*t. Suppose -2*w + 8 = b*w. What is s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -7*g - 2*w - 16, 2*g = 2*w - 24 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 3640, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 95\/(-4)*2*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 18200\/(-15))\/((-7)\/21).\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4.5 and -17502 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:19 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/8))**(-2)\/(b\/((b*b**(2\/5))\/b)*b*b**8*b) assuming b is positive.\nAnswer: b**(-197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, f: 3, n: 1}. What is prob of sequence ww?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 + 1 - 12*o + 4*o + 4*o**2. Let w(h) = -3*h**3 - 64*h**2 + 46*h + 40. Let t be w(-22). List the prime factors of v(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2271 plus -1.1?\nAnswer: -2272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7267 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7 - 9) + 3 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/(-16)*(18\/(-72))\/(4\/24).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.891 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38400 = 5*b + 5*j, 5*b - 87*j - 38396 = -91*j. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i*i\/i**(-5)*i*i**(-7)*i*i**4\/i)**(9\/8) assuming i is positive.\nAnswer: i**(81\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 - o - 14. Calculate the remainder when 194 is divided by s(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 5*v + 14, 160 - 152 = b - 6*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 24 = 5*n. Let x = n - -9. What is the derivative of -x*b - b + 3 + 2*b + 0*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2730 + 11071\/1820. What is the common denominator of c and -11\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129513 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + g - 2, 5*g + 20 = 0. What is the second smallest value in -3\/7, z, 0, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 4. Is r > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(((3 + sqrt(2448) - sqrt(2448)) + sqrt(2448) + -1 - sqrt(2448)) + 0 + -1*sqrt(2448))**2.\nAnswer: -12257 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 912.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1169 - -1183. What is the second biggest value in 1\/5, -0.2, -2\/3, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o + 188. Let q be m(19). What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 2 + 3 - 6*l**3 - 2*l**2 - 5 to the form g*l**3 + h + y*l**2 + q*l and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0. Let o = 0.7 - -1.3. What is the smallest value in o, 21, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 5*r + 5*r. Let a be 2\/((8\/(-12))\/(-1)). Let u(m) = 194 - a*m - 194. Calculate i(u(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:38 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5. Let z(y) = 3*y**2 - 2*y + 1. Let v be z(g). Suppose w - 5 - 21 = 5*l, -v*w = 3*l - 91. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 191*g + 9357. What is z(-49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1)*(-24 + 134232\/5544)\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20420696 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -28.99128. What is a rounded to four decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -458 - -464. Factor -x - 13*y - y**2 + 0 - 2 - 14.\nAnswer: -(y + 2)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -392.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 44*o**2 - 57. List the prime factors of h(-23).\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138634*i - 62428 wrt i.\nAnswer: -138634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1465*r**2 - r**3 - 1333*r**2 + 3 - 2*r**4 + 2691*r**2 to b*r**4 + p + i*r**2 + l*r + d*r**3 and give i.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/49266174 and 19\/197064696?\nAnswer: 197064696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*i + i. Let u(p) = p + 1. Let d be u(i). Suppose -2*c - d*c = -5*o + 61, -2*c = 8. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 6*f**2 - 8*f**2 - 321*f**3 + 59*f**3 - 1 + 16*f**2 to the form u*f + k + l*f**3 + b*f**2 and give l.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -393 - -229. Let q = -160 - y. Solve 0 = -2*w - p - 3, -4*w = q*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258655 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 + o**2 + 1547 - o**2 - 15*o + 18*o**3 + 31*o.\nAnswer: 3*o**3 + 16*o + 1547","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*y + 32 = 0, 9 = -4*h + 2*h + 3*y. Suppose -h*b = -45 - 39. Suppose b = 2*q - 4. Calculate the greatest common factor of 40 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**6*p)\/p*p)\/p**(-2\/11))\/(p**0)**(-2\/111))\/((p**(-4)*p\/p**5)\/(p**6\/(p**(1\/4)\/p*p))) assuming p is positive.\nAnswer: p**(921\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.133958619 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73483*h**2 + 640151*h?\nAnswer: -146966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -6.7\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4499306*i**4 + 3549382 wrt i.\nAnswer: -17997224*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524828743 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most 1\/8810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8904.488 weeks?\nAnswer: 5385434342400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2260938 kilograms?\nAnswer: 226093800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 1\/4, -2, 9, -1\/96747, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = -2137*t + 2174*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 433233 (base 5) in base 10?\nAnswer: 14818","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 3*m - 4 + m + 4*m.\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -37401569.\nAnswer: -37401569.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*18\/405)\/((-2)\/(-2))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068300047?\nAnswer: 2503, 1225849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(4 - 4 - 2*m) - 131 + 91*m - 133 + 263.\nAnswer: 95*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 70\/15. Let i be 8*(z\/2)\/(-2). Let l = 11 - i. Is 4 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6 - 180\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 49. Let w = 91 - 86.9. Let z = -1.1 + w. What is the nearest to b in 1\/6, 0.3, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*n + 6755 = -4887 + 22 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 + 3*u**2 - 9*u\/4 - 27\/2.\nAnswer: 3*(u - 2)*(u + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3053 + -3051. Sort 1, -1.2, o in descending order.\nAnswer: o, 1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8*v + 380 = 0. Let a be ((-4)\/(-12))\/((-17)\/6) - 0. What is the second smallest value in -3, a, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 2723\/(-609) - (3965\/(-183) + 20)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 21 = 0. Suppose -5*h = -3 - k. Let p be h + 0 + 12199998\/1. Round p to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -40. Let m = 14 - 11. Suppose 2*h - 7*h + m*f = -39, -2*f = h. Solve i = -3*c - u + 3*u + h, 0 = -2*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - j + 64, 0 = -5*d - 5*j + 52 + 58. Suppose -b + d = 5*q, 16 = 3*q - 2*b + 6. Calculate the smallest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.06 + 2.06. Does 10.7 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -42950268.52.\nAnswer: -42950261.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -971 - -600. Let j = h - -361. Let z(v) be the third derivative of -v**5\/60 - 3*v**4\/8 + 13*v**3\/6 + v**2. Determine z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6345032 bigger than -6345032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3572 - -3537. Let l(d) be the first derivative of 80*d**3\/3 + 35*d**2\/2 + 2. Let r(n) = -9*n**2 - 4*n. Give c*r(i) - 4*l(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a58d + 0?\nAnswer: -1a58d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 7474527131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 2. Let x be (t*(-3 + 2))\/(-1). Solve x = k - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*c - 16, 4*c - 9*m + 4*m - 37 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*d**5 - 23*d**3 + 23*d**3 - d**5 + 2*d**5 - 2*d**5 + (5*d + d - 4*d)*(2*d**3 - 2*d**3 + d**4) + 5*d**5 - 3*d**5 - 4*d**5.\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152128352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((278 - 279)*(-1)\/(-4))\/((-715)\/(-360) - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1069799027 from 187.\nAnswer: 1069799214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -24 (c) -3.8391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*w**3 - 44*w**2\/3 + 16*w\/3.\nAnswer: -2*w*(7*w + 4)*(9*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 10\/(-4))\/((-1)\/18). Let u be (-1 + 4)*(310\/30 - a). Solve -u*n = -x + 20, -3*x - 3*n = 13 + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1532, -2\/11, -0.4?\nAnswer: 1532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 - 2*o**2 + 2*o + 1. Let l be i(-2). Let a be 14\/l - 128\/(-22). Suppose 4*h - 2 + a = 0, r - 3 = -5*h. Solve -r = -5*g + 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/473 - -5485\/114939. What is the common denominator of -65\/6 and c?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -28*q**5 + 120*q**4 - 148*q**3 + 72*q**2 - 8*q. Let d(p) = -p**5 + p**2 - p. Let a(b) = 8*d(b) + r(b). Factor a(i).\nAnswer: -4*i*(i - 1)**2*(3*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 287*u - 26221. Determine w(-73).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*r - 4*k, 3*r - k - 48 + 10 = 0. Let v = -21 + r. Let d = v + 12. Solve -d*l + 2*x - 26 = 0, -8*l + 2*x - 30 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-3)\/((-6)\/2). Suppose 2*z = -8 - u, z - 19 = 4*s. Let h be s\/4 - 3\/(-2). Is h bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.5, 1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*t + 5*g, -5*t + 3*g + 9 = 5*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -651756 - -5?\nAnswer: -651751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8) + (-1)\/((-4)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 8. Let t be m + 70\/49 - (-8)\/14. Suppose t*f - 3*f + 275 = 4*i, -4*f + 396 = -2*i. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 222 and -0.8.\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 + q**2 + 3*q - 3. Let s(f) = -68*f**3 - 16*f**2 - 52*f + 52. Let n(y) = -6*s(y) - 104*t(y). Find the third derivative of n(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/3, 3, 3656115.\nAnswer: -1, 4\/3, 3, 3656115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -22*(-2)\/12. Sort r, 1, -0.05 in decreasing order.\nAnswer: 1, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 485*j**2 + j + 7. Let l(h) = -969*h**2 - 3*h - 15. Determine 6*l(k) + 13*o(k).\nAnswer: 491*k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190241939*c**3*p + c**2*p**3 + c*p**3 - 7*c*p - 321*c + 218*p - 2 wrt c?\nAnswer: -1141451634*c*p + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - o**2 + 2*o**2)*(0 - o**3 + 0) + 2*o**5 + 1 - 1 + (5*o**3 - 3*o**3 + 0*o**3)*(2*o + 2*o**2 - 2*o) + 2*o**5 + 6*o**5 - 1 - 11*o**5.\nAnswer: 5*o**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463732, -928438, -1393144?\nAnswer: -1857850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0178 from 29338085315.\nAnswer: 29338085314.9822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 5 + 4*w**3 - 2*w**3 + 9 - 2 as v*w**2 + o + r*w**3 + b*w**4 + a*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 + -1833\/10. Let u(m) = -4171*m - 12511. Let j be u(-3). Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let m(y) = 3 + 0*y + 4 + y - 5. Let i = 18 + -17. Suppose -6*d + 5*d = -i. Give d*m(o) - 4*v(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57774?\nAnswer: 2, 3, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948651 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20084471, -20084474, -20084487, -20084516, -20084567, -20084646?\n\"Answer: -o**3 + o**2 + o - 20084472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 + 4*q - 1. Suppose -4*a = -13 + 1. Determine i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crymyydmydymkdd. What is prob of picking 2 m and 1 d?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10 + (56 + -58)\/(4\/(-3386)) is divided by 1674.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2. Let o(p) = 262*p + 3. Calculate s(o(z)).\nAnswer: 274576*z**2 + 6288*z + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 + 15. Let u(i) = -i**3 - 5*i**2 - 30. Determine -3*u(h) - 5*v(h).\nAnswer: -2*h**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s - 5. Let h(v) = 1. Suppose 9 = 3*b - 0*b. Let d(x) = b*h(x) + g(x). Is d(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l - 8787 = 0, 0 = d + 5*l - 4079 + 1150. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 699043\/45960 - 40\/1149. Let h = 1\/898 - -35467\/3592. Let m = h - f. Calculate the common denominator of m and 95\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34528020 divided by -4.\nAnswer: -8632005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4, 3*f + 2*q = 4*q - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - 4*d = -22*z, z - 8*d + 5*d = -2*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**3 - 1. Let g be j(1). What is the highest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -63 - (5 + -14 - -48)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-70)\/51486)\/7*24\/(-300)*15. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + -1) - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.8962 + 11\nAnswer: 5.1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 27*i - 23*i = -21, 4*u = i + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -107 * -5\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8)*0)\/((-10)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.3, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*o - 33*o. Let i(g) = 2*g - 2*g**2 - 6 + 3*g**2 + 4 + o + 0. Determine i(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**7\/1260 + q**5\/60 + q**4\/4 - 3*q. Let u(a) be the third derivative of l(a). Find the first derivative of u(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3454*l**3*x**2 + 136*l**3 + l**2*x**2 - 7*l*x**2 + 2935*x**2 + 19*x - 1 wrt l.\nAnswer: 20724*l*x**2 + 816*l + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(-2\/11)\/y)*y))\/y)**27 assuming y is positive.\nAnswer: y**(-945\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*s - 301, 36*m + 922*s = 924*s - 42 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 57 = 4*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1107 at least as big as -1112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j. Let s(k) = 2*k. Let u(i) = -2*f(i) - 5*s(i). Let q = -3 - -5. Let l(v) = 5 - 4 - q*v - 1. What is l(u(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126224 divided by -63112.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11717578 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -0*y. Let b be (15\/45)\/((-20)\/144*-6). What is the third biggest value in y, 2\/7, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0 (c) 1 (d) 47803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:33 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.66 + 0.34. Let v = -60.6 + l. Round v to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = -43*z. Let y be (21\/18)\/(-7)*z. Solve y*x = -x - 3*d - 4, -x = d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let a(l) = 6*l. Let y(b) be the third derivative of -b**4\/24 - b**2. Let i(k) = a(k) + 4*y(k). What is c(i(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.56 from 0.5.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/((((f*f**(-1\/2))\/f)\/f)\/f))\/(f**(-1\/4)\/f**(-1\/3)) assuming f is positive.\nAnswer: f**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -0.2. Let n be ((-9)\/(-150))\/((-6)\/8). Put l, 1\/7, n in ascending order.\nAnswer: n, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3111408\/60 - 10 - (4 - 32\/10).\nAnswer: 2, 3, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.525994 decades in years?\nAnswer: 65.25994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 63 - 11*k**3 + 63.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110110010011100 + -101?\nAnswer: -100010110110010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - ((-2)\/2 - 290) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4083818 millimeters in nanometers?\nAnswer: 408381.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 less than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 1, c: 1, i: 1}. Give prob of sequence vci.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42839 (b) -0.06 (c) 0.5 (d) -0.1 (e) 1\/10 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 121, 193, 243, 241, 157?\n\"Answer: -5*y**3 + 34*y**2 - 3*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 i when four letters picked without replacement from {f: 2, i: 6, s: 1, x: 1, l: 2}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*b - 12, -7*k + 76*b - 71*b = -52 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2445*a - 2440*a + 4876*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8857031, 8857032, 8857033?\nAnswer: 8857034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1975 = 648*u + 410 + 207 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/174308760 and -101\/1080?\nAnswer: 174308760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/9, 2.7, 0.035, 4.1?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d*f*i - 2*d*f - 925*d*i*u - 2*d - 3*f*i*u - 3620143*u wrt d.\nAnswer: 12*f*i - 2*f - 925*i*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*x + 11. Suppose -g = -x*g. Let b = 7 - g. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-783)\/9*((-48)\/6)\/24.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -19ac?\nAnswer: -19a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -94372198881.19 and 0.8.\nAnswer: -94372198880.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 241.8313 from 0.142105.\nAnswer: -241.689195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*w + (-2 + w + 2)*(9 - 8 - 4).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6324? (a) 5 (b) -1\/2 (c) -5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62492 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -59. Let c(h) = 325. Let z(f) = 2*c(f) + 11*o(f). Let j(i) = -19*i - 5. Determine j(x) + 5*z(x).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, n: 1, f: 3}. What is prob of sequence fr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efcioco. What is prob of picking 1 o, 1 f, 1 i, and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 4 = 4*f. Let k be (4\/6)\/(f\/(-294)). Suppose k = 5*w - 1. Calculate the lowest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-35.7.\nAnswer: -142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36736566 - 36736565.24999918. Let c = -8.75 + 8. Let p = u + c. What is p rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.062489 - 0.0682844. What is f rounded to 5 dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1296.8349 + -0.2149. Let z = c + -1273. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 7*m**2 - 3*m - 5. What is the lowest common multiple of l(-7) and ((-4)\/56*-4)\/((-3)\/(-105))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*j - 15 = 0, 8*h - 176*j - 13 = -179*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(8\/84)\/2*-3.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 15 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*r + 14, 4*x - 23 = -10*r + 7*r. Solve -v + 4 = 4*g, x = 2*g - 9*v + 5*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.4, 0, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 147953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 - 32 = 5*x, -25 = 5*x. Let a = q - -2. Suppose a*t = -t + 216. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -27165972.\nAnswer: -5433194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 j when four letters picked without replacement from ooojoooojoooo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-165))\/(4\/20). Let b be (8\/(-6))\/(-2)*(-70 - -67). Sort b, i, 0.1 in increasing order.\nAnswer: b, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 - 7*m - 12. Let j be 1 + -12 + (4 - 1). Let h be t(j). What is the second derivative of 12*u + 20*u**4 - h*u**4 + 9*u wrt u?\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 17*l**3 + 2*l)*(-l + 12 + 2*l - 15).\nAnswer: 17*l**4 - 51*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -32 + 147. Suppose -109 = -4*s - w, -4*s + 3*w + g = s. Let n = s - 6. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**3 + 7*g**2 + 6*g - 5. Let w(t) = -11*t**3 - 15*t**2 - 13*t + 11. Let j(u) = 6*w(u) + 13*y(u). Let b be j(2). Is 36 + (-1)\/3*b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 940, 1886, 2822, 3742, 4640?\n\"Answer: -w**3 + w**2 + 950*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -603856.\nAnswer: 9\/301928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 22211002?\nAnswer: 22211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(-2)\/3)\/(9450\/(-2025)). What is the closest to -38.6 in 0.1, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(6))\/sqrt(10))**2 + (1*sqrt(288) - sqrt(2)))*-4 + 0.\nAnswer: -44*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*i**2 - 3*i**2 - 4*i**2)*(2 - 2 - 3*i)*((4 - 3 + 0)*(-4*i**2 - i**2 + i**2) - i**2 + 0*i + 0*i).\nAnswer: 735*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d + 3*d + (-41*d - 16*d - 6*d)*(3 + 4 - 6).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/72384 and 143\/63072.\nAnswer: 47556288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9793*t**3 + 1 - 1 - 1039*t**3 - 731*t**3.\nAnswer: 8023*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*p**3 - 2*n*p**2 + 155*n*p - 1329*p**6 wrt p?\nAnswer: 12*n - 159480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2937, 11761, 26463, 47037, 73477, 105777?\nAnswer: 143931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*l - 12 = 0, 4*t + 2*l = 4*l + 48. Solve 3*u = -9, 0*r - 2*u - t = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 1703?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198411c + 4?\nAnswer: 1984123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 19. Give s(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2362? (a) -0.5 (b) -0.6 (c) -4\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q**2 - 2 + 14*q + 0 + 4 + 0. Let s(g) = 177*g + 30*g**2 + 6 - 148*g - 1. Let c(v) = 5*h(v) - 2*s(v). Find the second derivative of c(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -381.5. Let x = t - 233. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f + 4. Let y(g) = -g. Let c(s) = 21*y(s) + 3*z(s). Let l be c(-5). Let k be ((-26660000)\/l)\/(2\/117*3). Round k to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*a - 2 - 1, 3*p = 4*a + 16. Let i(y) = 4*y - 23. Let w be i(7). Suppose -w*j + p*j + 4 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 50 - 3*l + 5*l + 261.\nAnswer: 4*l + 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(208) - -1*sqrt(13)*3)*-4 + 0 + (sqrt(78)*1*6)\/sqrt(216).\nAnswer: -43*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169896658 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7838 + 7*b**2 - 7838.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2905)\/(-21) + 2\/(-6). Suppose 5*h - 57 - w = 0. Solve -2 = k, 2*k = -5*d + 10 - h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150990, -151164, -151338, -151512, -151686, -151860?\nAnswer: -152034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -4. Let i(n) = 9*n**2 + 5*n. Let h(j) = -14*j**2 - 8*j. Give l*i(t) + 5*h(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10746 = 10747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 2*f + 53 - 135*f**2 + f - 198*f**2 + 70*f**2.\nAnswer: -263*f**2 - f - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:18 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -427, -4\/5, -1\/2 in decreasing order.\nAnswer: -1\/2, -4\/5, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 175946*q + 175944 = 0. Calculate q.\nAnswer: 1, 87972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 2. Let l be n(-3). Suppose -19*u + 33 = -5. Suppose 3*f + 2*y = l*f - 15, u*f - 9 = -3*y. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 - x - 13 + 3. Let o be h(-7). Let w be (3\/26)\/(o\/(-4)). Are w and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 0. Let x be 3\/(2\/(8\/3)). Let c(i) = -2*i - x + 4. Calculate c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 15 = a + 9, 0 = -3*a + 3*t - 72. Let u = 27 + a. Is -3 - ((-82)\/2 - u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - d - 6. Let q(o) = -2*o**2 + o + 3. Calculate 3*f(x) + 5*q(x).\nAnswer: -x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1 - 17*y**2 + 27*y**2 - 3*y - 23*y**2 - 2*y + y**3 - 12. Calculate c(13).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.86 and 1122.\nAnswer: 1122.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -2849\/18. Let z = 50327\/4072 + 8\/509. What is the common denominator of b and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.9594t to micrograms.\nAnswer: 156959400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6853419 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3 - 712*n**2 - 46*n + 1 wrt n?\nAnswer: 6*n - 1424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 14*d - 21*d**3 - 3*d**4 - 2 + 14*d + 1 to n*d**2 + w + u*d**4 + r*d + g*d**3 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = -14. Suppose 2*w + 16 = 5*w + 2*h, 4*h = 3*w + 14. Find the first derivative of -b*t + w + 4*t + 5*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1427 - -2226. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8)*((17 - 6) + -7). Let v be (4\/5)\/(k\/22). Factor -2\/5*q**4 - 16\/5*q**3 - v*q**2 - 48\/5*q - 18\/5.\nAnswer: -2*(q + 1)**2*(q + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (2 - 1) - 0. Suppose k*d = l - 2*d - 13, 0 = -d + 1. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 - 39*g**3 + 812757261*g**2 - 812757265*g**2.\nAnswer: -53*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/100 and 32\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9224 by -15.\nAnswer: -9224\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(1 - 2 - 6)*(-7*m**4 - 5*m**4 + 3*m**4) + (3*m + 0*m - m)*(33*m**2 - 33*m**2 - 3*m**3).\nAnswer: 57*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 58 = -4*q - 76, -4*q - 38 = -3*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10. Let a = 0.4 + 0. What is the third biggest value in m, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232778, -232845, -232914, -232985?\nAnswer: -233058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/14)\/((-8)\/112). Calculate the highest common factor of j and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8 = -7. Let z be (-2)\/5 + (-54)\/(-10). Let k(j) = -j**3 - 5*j**2 + 7*j + 8. Let n be k(-6). Solve 2*s - 9 = -s + i*y, 1 = -n*s - z*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/13))\/q)**(1\/11))**21 assuming q is positive.\nAnswer: q**(42\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 7*s + 3. Let o be f(4). Sort 1, o, 7 in decreasing order.\nAnswer: 7, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0*l - 2*l)*(-l + 3*l + 0*l) + 90*l**2 + 24*l**2 + 28*l**2 to r*l + t*l**2 + b and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t - 5*t)*(0*t - 2*t - t)*(-72 + 61 + 94)*(0 - 5 + 1).\nAnswer: -5976*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 40959984*b - 209715036160032.\nAnswer: -2*(b - 10239996)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 331*r**2*y**2 + 4*r*y**2 + 14*r + 168*y**2 + 1171*y + 5 wrt r?\nAnswer: 662*r*y**2 + 4*y**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**4 + 6*h**3 - 6*h - 13. Let t(c) = -37*c**4 - 13*c**3 + 13*c + 25. Let o(j) = -6*t(j) - 13*x(j). What is the first derivative of o(z) wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12 - 10*c - 5*c**3 + 2 - 1 - 2 + 10*c**2 + 4*c**3. What is o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5141 + -200441\/39. Find the common denominator of 149\/438 and f.\nAnswer: 5694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-474)\/474)\/(2\/(44\/6))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 13. Let d be a(-3). Find the second derivative of 9*w**3 - 13*w - 9*w**3 + 22*w**5 + d*w wrt w.\nAnswer: 440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28925 and 1500095.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 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: Suppose i - 3*i = -4. Let g = 194 + -194.2. Which is the nearest to i? (a) 2\/11 (b) 2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 21*u = -3488. List the prime factors of u.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*j - 10*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-607 + 570)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/((4418\/(-78960)*-42)\/(3\/10))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-7)\/(-3))\/1. Suppose 0 = 5*j + 10 - 0. Let y be h + (j + 5)*1. Is 11 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46405.29 to the nearest ten.\nAnswer: 46410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.417.\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16034*m - 48089. Give l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -20. Suppose -p + 3*j - 7*j = -d, 2*p + 3*j = 7. Let s(h) = 6 + 4 - h - 11 + h**3 + h**3. Determine s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 298151577021*k**2 + 4*k + 298151577025*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -1) + (1091 - 1082).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0519? (a) -3 (b) -2\/109 (c) 3 (d) 7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 491.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2914029 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 164. Solve -n = -0*n + 5*b - i, n - 2*b + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**3 + 0 + 0)*(-5280 - 3*j + 3186 - 3790 - 5665 + 575) in the form l + d*j**4 + m*j**3 + i*j**2 + o*j and give m.\nAnswer: 10974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 divided by 11?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -18 - -3) + (-6 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.2. Suppose 4*f = 7*f + 12. What is the second biggest value in f, -5, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -29. Let m(r) = -2*r**2 + 5*r - 3. Let k(a) = a**2 - a + 1. Determine w*k(f) - m(f).\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + s + 131, -2*s + 233 = 5*r. Let a = 184 - r. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n - 229. Calculate h(46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/3 - 4)*(9\/6)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 2*y - 1242, -o - 2*y = -609. Let j = -419 + o. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 + 254*s + 867. Calculate n(54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110110011101110000 (base 2) to base 14\nAnswer: -5b42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57968.5 rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 113\/5, -5, 3\/5, -1\/11, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (9 + -5)) + (11 - 16) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39239724.\nAnswer: 2, 3, 3269977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 28 = -10*b. Let r = -17 - -10. Let d(q) = q**3 + 6*q**2 - 8*q - 10. Let v be d(-7). Sort v, r, b, 0 in increasing order.\nAnswer: r, v, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -54, 110, 0.028, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 47*h**2. Let a(q) = -32*q**2 - 14*q - 7. Let p(v) = 54*v**2 + 24*v + 12. Let t(d) = -12*a(d) - 7*p(d). Calculate g(t(z)).\nAnswer: 1692*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 55269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321 - 321*z**3 - 321.\nAnswer: -321*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5025 (base 7) in base 11?\nAnswer: -1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 - (1 - -2)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31603261300 rounded to the nearest one million?\nAnswer: -31603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86870 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (2 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2541 by -847.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1*(-2)\/30. Let x = -15 + 14. What is the nearest to 0 in x, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32))**2 + sqrt(2) + -1)*-3 + -4*(1 + sqrt(2)) + -4.\nAnswer: -101 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = -2*j. Let u be (-48)\/(-80) + 72\/5. Let r be (6\/u)\/(2\/30*3). Sort j, r, 4 in increasing order.\nAnswer: r, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 420\/54 - (-6)\/27. List the prime factors of (8\/10)\/(y\/340).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 0 + 0)*(5*b - 2*b - b)*(4*b - 770 + 694 - 2*b)*(5 - 5 - 4*b) in the form i*b**4 + m*b**3 + c*b + p + j*b**2 and give m.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 9*b**2 - 9*b. Calculate the least common multiple of 26\/8 - 2\/8 and g(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from arllrrlll?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 6. Let l be -2*1*10\/(-4). Let f(b) = b**3 - 6*b**2 + 2*b + 7. Let r be f(l). Let a be (-22)\/4 + 4\/r. Determine x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Let p = 1 + f. Let t(z) = z**3 + z**2 - z + 1. Does 9 divide t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2 + z**2 + 4*z - 9*z - 2. Let l be y(5). Solve l = -c + 5*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**2 - 10*v**2 - 19*v**5 + (v - 2*v - v)*(0*v**4 - 3*v**4 + v**4) - 2*v**5 + 3 - 3 + 11*v**4 - 11*v**4 + 3*v**5.\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 15*k**2 - 4*k - 248. Let l be y(-14). Let h be (0 + -3)*(-4)\/6. Suppose -o = h*o - 12. Solve 7 = 5*z - l*m, 11 = -2*z + 3*z + o*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 6*y + 5. Is 17 a factor of t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 26*h - 4 = 0. What is the third smallest value in -0.1, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34731, 34820, 34909, 34998?\nAnswer: 35087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-4)\/8*6. Put -4, t, -3 in ascending order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-2))\/((-27)\/(-36)))\/(2\/(-8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 3*x + 3. Suppose 0 = 2*g - 0 - 8. Let q be l(g). Calculate the common denominator of (q\/14)\/(2\/128) and 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 1345487 = 165230. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((-847)\/(-399)) + 2\/11. Let i(g) = 36*g**2 + 22*g + 74. What is the tens digit of i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 minutes after 7:57 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*k - 145 + 145 to t*k + z and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 8*z + 8*z as l*z + x and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 588\/(-910) - (-8)\/10. Put -1\/4, -5, -4, f in descending order.\nAnswer: f, -1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from piprr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5200 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from llzcgg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45589*l - 45582*l + 84 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*b + 12 = 6*b, 3*i + b - 3 = 0. Suppose -5*f + 8 + 17 = i. Solve -v - 8 = -5*v - f*q, 2*q + 6 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqd when three letters picked without replacement from ccccccqczcdadczqcqcc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 39 - 1. Let h be 4 - j - 0 - -1. Solve 0 = -7*i + h*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3127549 or 28?\nAnswer: 3127549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 - 89 - 5912*b + 5912*b)*(-5 + 3 + 1) to the form p + n*b**3 + d*b**2 + f*b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 134*y - 34. Let a be v(45). Solve a*g = 3*f + 10*g + 13, 0 = 4*g - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-330)\/12)*-44.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyfjyjydydyayyy. Give prob of picking 3 y and 1 j.\nAnswer: 728\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 1, s: 2, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 56\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -7)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115381 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001146 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqob when four letters picked without replacement from qqebo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 330*p**2 + 4717*p + 81. What is t(15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -51*q**3 - 9*q**2 - 177*q - 925. What is the ten thousands digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-30))\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 81971.85 centuries?\nAnswer: 8197.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 24*u - 5 - 25 = 0 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q = -206 - 478 - 42 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by -3178\nAnswer: -131\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 920 = -113*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 + 8*q + 5. Let a(u) = -u**3 - 6*u**2 + 9*u + 6. Let b = -17 + 11. What is b*k(m) + 5*a(m)?\nAnswer: m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3742 from -70.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*a + 40 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*c + 3*v, 0*c + 2*c - 5*v - 22 = 0. Does 34 divide (4\/(-6))\/((c + 2)\/(-153))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19623807 divided by -6541269?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*101954.\nAnswer: 10195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 94 - 26 - 42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147970 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/3)*n)**(-33)*(n**(-2\/7)\/n)**(-50) assuming n is positive.\nAnswer: n**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 1\/4*a**3 + 0 - 1\/4*a.\nAnswer: a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50554 = -21*v - 2*v. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let n(w) = -1133*w**2. Give n(j(h)).\nAnswer: -1133*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250716151?\nAnswer: 7, 113, 316961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 1208*b - 2432.\nAnswer: 4*(b - 2)*(b + 304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223240 is divided by 31890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200)*-1 + sqrt(50) + sqrt(300)\/(sqrt(6) + sqrt(54)))\/(sqrt(200)\/sqrt(5) + sqrt(10) + (sqrt(10) - (sqrt(10) - (sqrt(70)*1)\/sqrt(7)))))**2.\nAnswer: 3645\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41099 - -41145. Solve 42*v = 19*v + r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*c = -24, -3*z + 13 = 2*c + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-146 + 189 - 47) + (0 - 14\/(-12))\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**3\/6 + 3*m**2\/2 + 25*m. Give h(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/7)\/((-41)\/(-2132)*(-8)\/1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10771.254 to the nearest ten.\nAnswer: 10770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 6*x**2 - x + 4. Suppose b = 6*b + w - 26, 5*w + 20 = 5*b. Suppose b*k - 10 = -4*q, -k + 4*q + 8 = -18. What is i(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18928906.\nAnswer: 2, 9464453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.92 - 0.02. Let g = d + -1.1. Suppose 1 + 24 = -5*l. Put g, l, -1\/3 in descending order.\nAnswer: g, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9369211?\nAnswer: 23, 407357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(70) - -3*(sqrt(70) - (-1*sqrt(70) - sqrt(70))))*5)\/(1*sqrt(1000)*-5*-2).\nAnswer: 21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 4:35 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3064, 3062, 3052, 3028, 2984, 2914?\n\"Answer: -o**3 + 2*o**2 - o + 3064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + x = 5*k + 14, 3*k = x - 10. Let n(z) = -2*z - 23. What is the remainder when n(-14) is divided by (1 - k)\/((-6)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 27762320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203328725 a multiple of 2715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -74*b**2 + 3 + 222*b**2 + 7*b - 75*b**2 - 72*b**2. Determine g(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-14\/9))\/(t*t**27\/t))\/((t*t*t**(-2\/77))\/(t**(-2\/23)\/t)) assuming t is positive.\nAnswer: t**(-487997\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8893616 by 53576.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, k: 3}. Give prob of sequence ll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t - 6 = 0. Let p(m) = -t + 7 + 3*m + 2*m - 7 + m**2. Suppose 0 = 5*g - 5*c + 55, -4*g + 7*g + 28 = 2*c. Give p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -1271*b**7\/105 - 8647*b**3\/6 - 190*b**2 - 18*b. What is the first derivative of o(h) wrt h?\nAnswer: -10168*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 4. Suppose -5 = n + 2. Let j be w(n). Suppose -s + 8 = -2*l, l = -14*s + 13*s + 2. Solve -j*f + 1 = 3*z + s, z + 5 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21928746 - -0.02128.\nAnswer: 21928746.02128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8023620?\nAnswer: 2, 3, 5, 11, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/6 + 8*s**3\/3 + 19*s**2. Let i be a(7). Find the common denominator of 83\/12 and (-16)\/i*29\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**3 - 6*g**2 - 3*g + 2. Let s(k) = 11*k**3 + 11*k**2 + 5*k - 4. What is 3*s(w) + 5*z(w)?\nAnswer: 3*w**3 + 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 2 + 8 + 13)*((0*h + 2*h**3 + 0*h)*(-2*h + 2*h + 2*h) - 5*h**4 - 6*h**4 - 6*h**4) to the form g + i*h**4 + k*h + b*h**3 + u*h**2 and give i.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14350*z + 14362*z = -180 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 - 6*s + 4. Let r be t(-4). Let m be (5\/r)\/((-3)\/24). Let f be (-62)\/(-15) + m\/(-15). Solve -u - k - k + 4 = 0, 4*u + f = 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 3:31 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(133) + sqrt(133))\/sqrt(7)*2 - (sqrt(304) + -2 - (sqrt(931)*4 - sqrt(19))))**2.\nAnswer: 324*sqrt(19) + 13887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 9339820 to the power of 1\/2, to the nearest integer?\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14246 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12 + r + 59.\nAnswer: r + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42625 (base 9) to base 3.\nAnswer: 1102200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 208*q**2 + 27*q + 8. Calculate l(-2).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k - 88*k = -4113. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q - 0*q + 40. Suppose -2*t + 942 - 199 = f, q*t = -3*f + 1487. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 180, 184, 186, 186?\n\"Answer: -b**2 + 9*b + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**2. Let a(y) = 368*y**2 - 6*y - 6. Let k(z) = 207557*z**2 - 3383*z - 3383. Let c(l) = -3383*a(l) + 6*k(l). What is o(c(d))?\nAnswer: -1742444*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15\/2 (b) -173 (c) 2\/5 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 43*v + 68 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 66.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -123271, -246517, -369763, -493009, -616255?\n\"Answer: -123246*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u - 3. Suppose -14*o = -12*o - 4. What is the remainder when l(5) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 11:52 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 90901262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24\/23 + -499\/368. Let a = -13 + 16. Find the common denominator of c and 111\/(-18) - a\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101010010101101 (base 2) to base 9.\nAnswer: 532245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - 0)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 742 = 12*v - 11*v. Does 52 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1 - 2*l**3 + 5 + 0*l - l - l**2 + l**3. Calculate the remainder when m(0) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l*l**(5\/3))**(1\/3)*(l\/(l\/(l**1\/l))*l)**(-7\/2)\/(l**(-2\/7))**(-36) assuming l is positive.\nAnswer: l**(-844\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*z**6 - 74 - 20*z**6 - z**2 - 4*z**4 + 61 + 2*z**4 wrt z.\nAnswer: -3720*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 14, 1\/20, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*r = 19, -3*n - 3*r + 382 = 385 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-1 + sqrt(4) + sqrt(40)\/(sqrt(40)\/sqrt(4)))\/(-6*(sqrt(50) + sqrt(2))*4).\nAnswer: 7*sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 (base 11) in base 8?\nAnswer: -1437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*k + 343 - 338 = 0, -3*k = 12 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/3 - 64*y**3\/3 - 180*y**2 + 2250 = 0.\nAnswer: -15, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2111 + 96 = -m, m = 4. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = -g + 46, -2*g - t + 98 = 0. Let l be -53*5\/(-25) - 6\/10. What is the greatest common factor of l and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55607055*h**2 - 55607055*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {s: 1, w: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00439548 to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1527233 divided by 9.\nAnswer: -1527233\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, -0.32, -6, -5, -2\/3?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 270 = 11*f. What is the highest common divisor of f and 2034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16 = 94. Suppose 6*v - 2*u - t = 3*v, -v + 4*u = -22. Suppose -p + v = p. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 26 = -5*h, 6 - 20 = 4*d - 2*h. Let y be 0\/(-2) + 6\/(-20). Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/33)\/(2\/(-3)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:32 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 8) + (1 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/4? (a) -0.1 (b) 0.5 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w - 5*w + 3*w**2 + 0*w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3048934km?\nAnswer: 304.8934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 23 = -15*f - 176, -f = -2*j + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 109*c**2 + 429*c - 978. Calculate p(-50).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 6*u - 7. Let i = -33 + 20. Let d = 7 + i. Determine b(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-217921.\nAnswer: 435842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 2184 = 6*o. Let i = o + -358. Factor -4*g + 16*g**2 - i*g**3 - 10*g**4 - 4*g + 202*g**3.\nAnswer: -2*g*(g - 2)*(g + 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 2*j**3\/3 - 8*j**2 + 41*j. Let a be m(5). Solve 4*c + 5*v = -11, 2*c = a*c + 5*v + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Suppose y*b = 2*k + 16, 3 = 4*k - 3*b + 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 - q - 30. Determine k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 6*x + 5. Let m be s(-4). Let l be 4\/m + (10 - 8). Sort -1\/8, l, -3 in increasing order.\nAnswer: -3, -1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from hethqhattehtteqta?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.5, -14\/9, 1 in decreasing order.\nAnswer: 1, 0.5, 0, -14\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-12 + 9 + 11 - 9)) + 1 + -55?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68071, 135817, 203563?\nAnswer: 271309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 301.53203.\nAnswer: 11156.68511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12639 - 12109. Calculate the least common multiple of 318 and x.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1664*y**6 - 2031*y**2 - 3.\nAnswer: -199680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3\/80*q**5 + 9*q + 1\/16*q**4 + 0 + 1\/8*q**3 - 3\/8*q**2. Let f(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 436 - -162. Suppose -v = 434 + a. Let i be (-3)\/(v\/4)*-4. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/7 + 10*o**3\/3 + 23*o. Find the second derivative of p(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 + 2*r - 4. Let y be w(-4). Suppose b - t = 6, -y*t + 0*t = 0. Calculate the least common multiple of 9 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**22))\/(s*s**(-37)\/s))\/(s**(3\/16))**(-34) assuming s is positive.\nAnswer: s**(523\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.41 * -12.\nAnswer: 28.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -0.5, 14\/29, 2\/7, 0.3, -2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 681.9748 and -2467.\nAnswer: -1785.0252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10*(56\/(-7))\/(-16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.448*0.34.\nAnswer: 0.15232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/6)\/(-5)*(-3)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 15}. Give prob of sequence ee.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145.7 - 145.699147. What is l rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309349*u - 654674*u - 654679*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 + 3. Let g(s) = s**2. What is a(k) - 3*g(k)?\nAnswer: 5*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-11) + 0 + 56\/308. What is the derivative of -171*k**2 + 27 - q - 95 - 57 wrt k?\nAnswer: -342*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -8)\/6 - 2\/(-4). Solve 4*h + y*h = -2*l + 10, -5*l + 4*h + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 10*f**2 - 13*f - 17. Suppose -3*r - 2 + 36 = 5*d, 3*r = -6. Let l be (10 - 11)\/((-1)\/d). What is the remainder when 33 is divided by p(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b - b**2)*(2*b**2 - b**2 + 2*b**2) - 18*b**4 - 26*b**3 + 26*b**3.\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)\/k*k)\/k)**(-1\/4))**(-7\/8)*k**5\/k*k*k*k**(-1\/6)*k\/((k**4\/k)\/k)*k*((k*k**(1\/6)\/k)\/k)\/k assuming k is positive.\nAnswer: k**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -48. Let l(d) = 1 - 5*d + 9*d - v*d. Calculate l(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -204016 - 15?\nAnswer: -204031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*t - 37 = -209, -3*j + 3*t = -156. Calculate the highest common factor of 208 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**2 - h**2 + 3*h**2 + h**2. Let t be x(1). Let w(p) = 2*p**2 - 4*p**2 + t*p**2. Let j(y) = -y**2. Give w(j(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -52495597951785.\nAnswer: -52495597951787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12082731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 2*c - 4. Suppose -82*d - 160*d - 3017 = -35445. What is the remainder when d is divided by m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*l - 6880 + 50640 = 121*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 513.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (-298)\/(-6). Let n be 1490\/j + (-2)\/10. Does 8 divide -6*3\/n*65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -7955*s**4\/12 - 419*s**2 - 1489*s. Differentiate b(t) with respect to t.\nAnswer: -15910*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*a + 385*a - 77*a - 74*a - 83*a - 76*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 13*c + 52 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1420*d**6 + 11*d**3 - 192*d**2 - 3*d + 4?\nAnswer: 170400*d**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**7\/1260 - 5*s**4\/4 - 3*s. Let h(d) be the third derivative of w(d). Let t(r) = 20*r**2. What is h(t(b))?\nAnswer: -800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3 + 4 + -5. Let g be ((-1)\/k)\/(2\/(-5)). Let d = 10 - 10.4. Put -0.1, g, d in descending order.\nAnswer: g, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10412 = 2*k, 1837*k - 10452 = -4*h + 1840*k. What are the prime factors of h?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -140, 104, -5 in ascending order.\nAnswer: -140, -22, -5, 104","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 23. Let w(l) = 3*l - 61. Let c(n) = 8*g(n) - 3*w(n). Determine c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52 and -1.29?\nAnswer: 50.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 15*v**2 + 33*v + 26. Determine i(-11).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -44*i - 3256. Let g be t(-75). Solve -8 = -4*p - 5*r, -2*r - g = -2*p - 58 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-4)\/5*-1. Let z(b) = 6*b**2 - 3*b + 2. What is the remainder when z(d) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166464 and 14280?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4234 + 7916. Calculate the lowest common multiple of q and 12.\nAnswer: 22092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(704) - (2 + sqrt(704))*5)**2 + 4 - (0 + ((-1 + sqrt(704))**2*-6 - sqrt(704)))*-5.\nAnswer: -9778 + 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:55 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 19*p - 119, -6*p - 48 = r - 11 + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2643.8 + 2644. Let f = -6.3 - -1.3. What is the second smallest value in f, 3\/22, i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, 5, 58, 153, 302?\n\"Answer: 2*y**3 + 3*y**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215603 is divided by 281?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1065350 by -1.\nAnswer: 1065350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -3 - -4 - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -31, -52, -79?\n\"Answer: -3*b**2 - 6*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -184, -269, -352, -433?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414 is divided by 1069.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 14. Let u(i) = 2*i**2 + 3*i + 2. Let f be u(s). What is the closest to -0.4 in 2, 5, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6119969 to the power of 1\/2, to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22324 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-195)\/(-15) - (-2 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/11*(-126995)\/90051.\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-154)*6\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.5. Let x = m - 0.4. Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:09 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 74592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 + 85\/45).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(135\/105 + 2\/(-7)). Let r be (-6 + 11 + -5)*k. Is 1\/306 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 6*s - 8. Let x(q) = 6*q**2 - 13*q - 17. Let c(i) = 13*o(i) - 6*x(i). What is the remainder when 19 is divided by c(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494897 or -494902?\nAnswer: -494902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -55e92b (base 16) in base 12?\nAnswer: -1a762b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*r + 26 = 0, 5*o + 60 = 4*r - 0*r. Let v be o\/(-36)*3\/(-2). Let q = -793 + 789. What is the smallest value in -0.1, q, 3\/7, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3676160 divided by 2048.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 103 (b) 0.4 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*k + 5 = -3*j, -4*k = j + 21. What is the nearest to -1 in -6\/11, j, -1\/3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(27)*1.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 3, z: 4}. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201331 (base 5) in base 6?\nAnswer: -2051544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 17064 - 17058 = -3*u, 0 = u - 59*b - 350 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-210)*(-154)\/(-132)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 10. Let z be a(-9). Suppose 2*o = 5 + 9. What is the highest common factor of o and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3448, 7180, 11286, 15766, 20620, 25848, 31450?\nAnswer: 37426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.3. Let j be (3\/(-4))\/(5\/2 + (-212)\/128). Which is the nearest to i? (a) -0.3 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 104. Let y be (-69)\/(-4) - 4\/16. Are q and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409.81 + 410. Sort 1, 0.3, -4, g in increasing order.\nAnswer: -4, g, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by 6.\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003909 rounded to 5 dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2475 + -183. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - (-97686)\/1188 - (-42)\/(-4).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414531168 a multiple of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (858 - 274 - 173)*(-27 + 28 + 17)*(4*b + 2*b - 4*b).\nAnswer: 14796*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 11*p**3 - 70*p**2 + 112*p - 32 = 0.\nAnswer: 4\/11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126396 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22124.\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:04 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-27))\/(13*12\/(-1404))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b - 1. Suppose v = -2*d + 9, 5*v - 8 = -5*d + 2. Suppose -2*w + d = -n, -w + 8 = b*n - n. Solve -28 = -4*l - 4*s, 1 = w*l + 2*s - 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224576406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430.3 - 430. Let h be 0 - 2 - 48\/(-21). What is the nearest to -1 in 0.2, t, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*b - 306 = 0, 4*q = 2*b - 0*b - 234. Let j be (-292)\/q + (-8)\/(-60). What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 3*f**2 - 11*f + 27. Let x be z(5). Let a(r) = 0*r - x + 291 + r + r**2. Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.11 - 3.11. What is the closest to -1 in g, -4\/7, 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1360)\/850 - 4\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 14794.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a**2*p**2 - 5*a**2*p - 39*p**2 with respect to a.\nAnswer: 42*a*p**2 - 10*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -216733933 and -216733932 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -51*o**3 - 29*o**2 + 122*o - 39. Calculate z(3).\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -12077\/1035 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + u - 50 = -4*u, 2*a - 11 = -5*u. Find the second derivative of 13 - a + h - 2*h**2 + 2*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -59, 28, 6, -215 in increasing order.\nAnswer: -215, -59, 6, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 13*s - 11. Let p(o) = -o**2 - 13*o + 12. Let b(h) = -2*j(h) - 3*p(h). Let t be b(11). Solve -3*i = -t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-3) + ((-3675)\/225)\/(-49)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*b = -297, 0 = 4*b + 2 + 2. Solve x*h - 3 = 72*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - k**2 - 39*k**2 - 16*k**2 - 6*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 6*b - 28*b + 4 + 0. Let h(d) = -d - 1. Let y(m) = -4*h(m) + u(m). What is the tens digit of y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 3118654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 151, -2, 2, 11 in increasing order.\nAnswer: -2, 0, 2, 7, 11, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 3118?\nAnswer: 448992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let a(k) = 104*k**2 - 52*k + 52. Let q(d) = d**2 - d + 1. Let u(z) = a(z) - 52*q(z). Determine u(t(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 964 + -10614\/11. Suppose -4*o + 5*j = j - 16, -j = 5*o + 4. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Find the common denominator of ((-202)\/(-32))\/(-1 - -2) and (-291)\/60 - -1*i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -66, -94, -124, -156, -190, -226?\n\"Answer: -v**2 - 23*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*o**2 - 1 - 43*o**2 + 2 + 78*o**2 to g*o**2 + w + c*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5 - 5*p + 5 + 43*p. Let b(m) = m**2. Determine h(b(o)).\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-12)\/(-9)*30. Let y = s + 38. Let t(j) = -1 + j + 4 - 6. Give t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3741, -6495, -9195, -11823, -14361, -16791, -19095, -21255?\nAnswer: -23253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122786869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17729\/10 + -1771. Calculate the common denominator of l and 101\/(-36) + (-36)\/(-162).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -184, -267, -388, -553?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4259.997767 - 4260. What is t rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 24*x**2 - 29*x + 107. Let r be o(25). Let s(i) = i - 15. What is s(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 + -0.28. Let n = y + -0.47. Which is the nearest to -2\/5? (a) n (b) 2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 639?\nAnswer: 120132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 234\/126 - (-2)\/14. Find the third derivative of -167*a**2 + 331*a**x - a**3 - 189*a**2 - 9*a**4 wrt a.\nAnswer: -216*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 5*q. Suppose 289*o - 319*o = 0. Solve -2*n - 6 + q = o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-7))*i\/(i\/i**(-2\/7)*i)*(i**(1\/2))**33 assuming i is positive.\nAnswer: i**(311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 7) to base 5\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 733603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from vwiwi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o - 209390 = -39*o + 2*c, 418748 = 4*o + 4*c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26*x - 88. Calculate m(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 3*d - 3. Let r = 3 - 5. List the prime factors of j(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -0.5 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 13*u - 8 + 0 + u. Let h(t) = -t + 1. Determine c(y) + 10*h(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + -6. Let x = u + 14. Suppose 3*d - x*d + d**3 + 2*d**2 + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + t**2 - 10*t + 20. Let i be h(2). Find the first derivative of 21 + 38*r - i*r + 45*r + 44 wrt r.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54456586 from 9.\nAnswer: -54456577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 4. Let i = 19221 - 19227. Let b(j) = 5. What is i*g(o) - 5*b(o)?\nAnswer: -6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -5581 and -1209 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 23\/5 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78014678 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*v - 116, -5*j - 3*v = -2*v - 118. Suppose 0 = 25*z - j*z - 23. What is the remainder when 68 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265.6 + -265.5997618. Round q to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65776523 and 772.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 17*j + 2*s + 18 = 0, -4*j - 21 = 3*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 2609?\nAnswer: 109578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099291 to three decimal places.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 0.3, 7, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.087097 to three dps.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 + g + 5. Let k be q(0). Suppose 8 = i - 3*s + s, 5*i + 5*s + k = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12930 = 12*p - 22*p. What are the prime factors of p?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z - 10. Let p be r(-3). Suppose -2*j + 86 + 38 = 0. Let v = j + p. Calculate the smallest common multiple of 44 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152027*g**2\/2 + 456079*g\/2 - 3.\nAnswer: (g + 3)*(152027*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 2421.437?\nAnswer: 2420.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 8*d**2 - 3*d + 9. Suppose 2*t - 5*n - 1 = 9, 0 = -5*t + 4*n + 25. Suppose -t*l + 39 = 4. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 220. Solve -4*a - 23 = w, -4*a + 2*w - d = 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:12 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 6*a + 6*a - 4*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38304 + -38300. Solve 0 = -3*g - 2*q - 4, -8*g - t*q - 8 = -11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + 275*y**2 + 3032*y + 28. Give z(-55).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 - -11 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 5*j + 2. Let g be f(-3). What is the highest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/8 + 69*u**4\/8 - 1289*u**3\/8 + 3399*u**2\/8 - 1089*u\/4 = 0.\nAnswer: 0, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*l**3 - 2232*l**3 + 1451*l**3.\nAnswer: -2749*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 1 - (-4)\/(-4*3\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 65 + 230 = 0. Which is the third biggest value? (a) 344 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162197 divided by 50?\nAnswer: -162197\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3\/15 - 38*y**2\/15 + 14*y\/3 + 44\/15 = 0. Calculate y.\nAnswer: -11, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let w(h) = -1. Let u(x) = x + 3. Let d(o) = u(o) + 3*w(o). Let a(j) = -6*j + 1. Let c = 2108 + -2113. Give c*d(v) + l*a(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 11 = 3*x + 49, -2*x - h = 35. Let t be 3\/(2\/x*-4). Solve 3*v + t = 4*w - 11, 21 = -5*v + 3*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 127314808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 126.76 + 2\nAnswer: 128.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18 + -278)\/((-4)\/10200). Round n to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v + 24. Let h(l) = -l**3 + 8*l**2 + 36*l - 33. Let u be h(11). Let x be a(u). Solve 22*r + 4 = x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -166, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*u + 4 = -6, -5*n + 4*u + 25 = 0. Let j be -10 + 10 - -1*2. Suppose n*s - 516 = j*s. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - 18. Calculate the highest common factor of k and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 357617.6 to the nearest 1000.\nAnswer: 358000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyssy. What is prob of picking 3 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s + 1. Let a = 6 + -72. Let u = a - -65. What is the units digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 21. Let d = 173 - 168. What is the remainder when i is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyqyqsyqqsjyssqsqs. What is prob of picking 1 q, 1 j, and 1 s?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 62*d**3 + 4*d**2 - 4*d. Let s(n) = n**2 - n. Let k(o) = f(o) - 5*s(o). Let v = 29 + -28. Is k(v) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = l - 336. What is the highest common divisor of l and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -246518\/588035 + 156\/371. Let a = 1581\/3170 + o. What is the second biggest value in 5, -0.6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, and 1 w when three letters picked without replacement from wwsuwuxsx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1\/6, -1, 0.07, 1235?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001011001110001001 (base 2) in base 6?\nAnswer: -45024533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) - 51\/(-45). Factor m*k**2 + 0 + 2\/5*k.\nAnswer: 2*k*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j*j*j*j**(-9)\/j)**(4\/5)*(j*j**(-2\/15)\/j*j**0*j*j)\/(j**(-1\/8)*j*j*j*j\/(j*j\/(j**4*j))*j*j) assuming j is positive.\nAnswer: j**(-10879\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-85)\/238*-7)*150\/(-60)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-368)\/(-28) - 2\/14. Suppose f*d - 24 = 9*d. Suppose 244 = 5*q - 2*k, 2*k - d*k = q - 62. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 16 + 10)*((6*q - 2*q - 2*q)*(-3 + 2 + 3) - 2*q + 5*q + 0*q) + 5*q + 2*q - 4*q to h*q + c and give h.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:34 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 times -51\nAnswer: 3.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.4. Let x = 13\/2 + -113\/18. Which is the nearest to 0? (a) i (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 188191.647s?\nAnswer: 0.3111634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 - 36 - 5*g)*(-15*g**3 + 52*g**3 + 147*g**3) - 3*g**4 - 3*g**4 + 5*g**4 as m*g**3 + s*g**4 + r*g**2 + t*g + y and give s.\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -4122.\nAnswer: -4117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.24 + -95898149\nAnswer: -95898151.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = 5*f + 67, -5120 = -4*f + 3*b - 5091 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19928*c**2 - 1485 + 1485 - 17559*c**2.\nAnswer: 2369*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 327.1275um?\nAnswer: 0.3271275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + a - 8, 2*a = 4*u - 11469 + 11477 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2 - 34. List the prime factors of ((-33)\/2)\/(6\/r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + 2*sqrt(108) + sqrt(108) - sqrt(108))*-3 - -5*sqrt(108)*1)\/(1*(-4*1*sqrt(72))\/sqrt(8)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 210102 (base 3) to base 2\nAnswer: 1001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 86*s**2. Let l(o) = -29*o - 839. What is l(p(i))?\nAnswer: -2494*i**2 - 839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5997, -23486, -52663, -93552, -146177, -210562, -286731, -374708?\n\"Answer: -4*f**3 - 5820*f**2 - f - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p**5 - 1256*p**4 - 19702*p**3 - 94864*p**2 + 82152*p + 33696 = 0. Calculate p.\nAnswer: -18, -13, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 66 + 210. Let x = -59 + p. What is the least common multiple of 9 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 793*s**2*z + s**2 + 2*s*z**3 - 2*z + 5772498 with respect to z.\nAnswer: 793*s**2 + 6*s*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Suppose -u = l, -2*v + 101 = v - u. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231786078 to the power of 1\/2, to the nearest integer?\nAnswer: 15225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)**(2\/101)*(a*(a**(-2\/9)\/a*a)\/a)**(2\/9) assuming a is positive.\nAnswer: a**(82\/8181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeyyeydsdedssy. What is prob of sequence ys?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 5*j**3 + 2 - 16*j**4 - j**3 + 18*j**4 to the form l*j**2 + a*j + f + g*j**3 + y*j**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 81*z + 46. What is w(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(144\/(-1026)) - (-36)\/(-48).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -3 (c) 21930 (d) -0.1 (e) 145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447379853?\nAnswer: 12241, 199933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(22\/5)\/o**(-13) assuming o is positive.\nAnswer: o**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 + 533 - 339 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 8 = 92 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03758267 rounded to five dps?\nAnswer: -0.03758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -175*(24\/10)\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q + 34 - 97. What is the third derivative of -13 + 19*i**3 - i**4 + 0*i**2 - q + 2*i**2 - i**4 wrt i?\nAnswer: -48*i + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 5*z + 315 = 0, 3*g + 3*z + 897 = 0. Let r = 426 + g. List the prime factors of r.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1734271*i**5 + 12628*i + 37 wrt i.\nAnswer: -34685420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**2*n*u**3 - 2*m**2*n*u - 7*m**2*u**3 + m**2*u**2 + 7*m*n - 12*m*u**3 wrt n.\nAnswer: -4*m**2*u**3 - 2*m**2*u + 7*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 2. Calculate w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*a = 10, -1 = y - 4*a + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-189) + (-29)\/(-58)*464\/(-963).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Suppose 3*n - 17 = d, 2*n + 0*d - 6 = -2*d. Solve 0 = 3*h - 5*o + 7, 2*h + w - n = -o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/161 and 13\/5175?\nAnswer: 36225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115684.\nAnswer: 2, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2024 and 152.\nAnswer: 38456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-22))\/((-47)\/517). Solve 16 + z = 15*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -634\/9, 3.7, -2, 0.1 in decreasing order.\nAnswer: 3.7, 0.1, -0.05, -2, -634\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {p: 4, f: 3, u: 5, a: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2196 and 155696949.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 v when three letters picked without replacement from {f: 1, j: 2, k: 1, v: 1, c: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = a + z, 0 = -4*z - 0*z + 20. Suppose -10*i - 228 = -a*i. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -0.03, 25, -9, -3, 6\/37?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/((j*j**(-4\/3))\/j))**(-11)*(j**(-2\/5))**(-28\/5)\/(j**0)**(1\/3) assuming j is positive.\nAnswer: j**(-219\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - a - 1 = 0, -y - 2*y + 2*a + 16 = 0. Let g(r) = r**3 + 13*r**2 - 11*r + 46. Let l be g(-14). Suppose l*n - y*n = 16. Solve -3*i + 4 = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -97. Solve b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a factor of 397777920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -463*q**4*v**2 + q*v**2 + 21*v**2 - 1 wrt q.\nAnswer: -1852*q**3*v**2 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 19*z**5\/60 - 4*z**2. Let i(u) = 3*u. Let r(y) = y. Let l(v) = -i(v) + 5*r(v). Give o(l(h)).\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 10694974678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*f + 210*f = 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)*(10948\/(-6440) + (-12)\/(-10)). Solve -4\/5*f - 2\/5*f**2 + v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18675*q. Let m(v) = 2*v. Calculate m(u(l)).\nAnswer: -37350*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/(-8*5\/(-360)). Suppose 0 = 2*m + 4 - 2. Let l be c + (m - -2) + -1. Solve 3*f + l*r - 27 = 0, 2*f + 22 = 4*f + 3*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 94. Which is smaller: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + (-5 - (6 - -12 - 17)) - -17?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r - 13. What is k(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 304 (c) 0.4 (d) -0.002 (e) 0 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -4100.\nAnswer: 73800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + -1 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - p - 489 = 471, -3*b - p = -720. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20387*n = -20370*n - 136. Solve 60 = -n*l + 108 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-12)\/(-81))*147\/(3087\/56)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 108 + -107 + -112 - -72\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204.5 and 9.\nAnswer: -1840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1\/50522776?\nAnswer: 1\/50522776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 8*y = -15. Let i = y - 29. Let o = -25 - i. What is o rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 + 5 + -2. Let q be (11 + -6)*t\/30. Let y(w) = w**2 - 3*w + 2. Let l be y(3). Which is the closest to -1? (a) q (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-10465)\/8064) + (-23 + 38)*40\/(-60).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2604687 and 60.93.\nAnswer: 2604747.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/620 and -77\/200?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 + 5*p. Let v be (11 - (-1 + 4)) + 0 + -3. Let i(t) = -4*t**2 - 3*t. Calculate v*x(h) + 7*i(h).\nAnswer: 2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:18 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 0, -23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 53*b + 10. Let m be q(-4). Let u = m - -392. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127 is divided by 97?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5503 divided by -901.\nAnswer: -5503\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/36792 and -65\/2162412.\nAnswer: 315712152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 1. Let u be c(-1). Let l = 1 - u. Put -1, -2, l in descending order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*f + 245*f + 47690 = 394*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15827*a**2 - 6*a. Let s(d) = -d. Give t(s(j)).\nAnswer: -15827*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h - 3. Let c be ((-136)\/(-8))\/(((-16)\/4)\/(-4)). Suppose 4*v - r = c, 3*v - 2*r - 12 = 7. What is z(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d + 44 - 16 - 25)*(-124*d - 70*d - 24*d).\nAnswer: -3924*d**2 - 654*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*d = 25, 2*v = -v + 2*d + 4. Let p be 267\/6 + (-1)\/v*-2. Let j = p + -42. What is the smallest value in -3\/4, j, 3, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776617 > 776617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -340853 equal to -341449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -22. Let g = a - 81. Calculate the greatest common factor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/6 + 14*u**2 - 620*u + 2. Calculate o(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -6. Let s = g + 33. Suppose -s = -x + 1. Calculate the lowest common multiple of 8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/13 - 472*b**4\/13 - 26888*b**3\/13 + 113280*b**2\/13 - 115200*b\/13 = 0.\nAnswer: -120, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**2. Let u(s) = s**2 - 3*s - 1. Let q(f) = -2*f - 1. Let p(b) = 3*q(b) - 2*u(b). Let o(g) be the first derivative of p(g). Calculate o(x(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -100120222002?\nAnswer: 100120222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100231230 (base 4) to base 12.\nAnswer: 247038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 8*x + 4. Calculate s(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + aa5b?\nAnswer: aa57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*q**4 - 20*q + 2*q**3 - 17060441 + 17060441 to l*q**2 + n + m*q**4 + p*q + w*q**3 and give m.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/37))**(-8\/3))**(3\/5))**(-2\/79) assuming b is positive.\nAnswer: b**(-32\/14615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 9*d**2 + 8*d - 4. Give a(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - k - 2*k)*(-1 + 1 - k) + 2 + k**2 - 2 + 216 + 11*k**2 - 216 to the form t + c*k + n*k**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 3 - 4 = 0. Is u smaller than 20.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - w = -4*r + 8, w = 1. Solve -27 = -2*p + 5*p - r*t, -4*p - 11 = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 1. Suppose -5*s - y*o - 123 = -0*o, 0 = -4*o + 16. What is the remainder when 25 is divided by -2*s\/6 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/20983732 and 41\/490.\nAnswer: 734430620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 37*q**2 + 5*q - 5. Let i be b(4). Let k = 1180 - i. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Let i(l) = 87381*l**2. Determine s(i(t)).\nAnswer: 349524*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -13 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -2.1?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8341, -33380, -75115, -133546, -208673, -300496?\n\"Answer: -8348*k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-1*8\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 22*s. Let v(a) = 859*a**2 - 3648*a. What is r(v(i))?\nAnswer: 18898*i**2 - 80256*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:55 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460665177 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + 79. Let b = n - 79. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 130\/79633?\nAnswer: 130\/79633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38.32 (b) -3\/4 (c) 0 (d) -2\/7 (e) 3\/7 (f) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 569 + -567. What is the second biggest value in 2\/11, -3, t, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 - 109. Is (12\/o)\/(40\/1960) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*1)\/(sqrt(20)\/sqrt(162)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:27 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 10. Let z be o(3). Let s(l) = -l**2 + 3*l - 1. What is s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5\/5 + 388*f**4 + 30084*f**3\/5 + 31228*f**2\/5 - 312088*f\/5 - 315168\/5 = 0.\nAnswer: -469, -14, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**5*p*p**1)\/((p**(1\/7)*p)\/(p**7\/p)) assuming p is positive.\nAnswer: p**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 63 + 24*k**2 + (2*k - k - 3*k)*(-k + 1 - 1) - 7*k**2 - 10*k**2 + 2*k**2 to l + f*k**2 + o*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018814 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56244558467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10*2)\/(54\/27))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 9*z**2 - 7*z + 6. Let h be d(-8). Let y = 66 - 71. Let a = 1.1 + -0.6. What is the biggest value in a, h, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 + 4.8. Which is bigger: p or -1\/42?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 62 = s, p = -3*s - 17. What is the nearest to -1\/3 in p, 0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.2, -5, -0.5 in ascending order.\nAnswer: -5, -0.5, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -8)*23\/(24 - 3060)?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229\/3 + 76. What is the second biggest value in s, -4\/3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82600 is divided by 653.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/7, -0.5, -4, -0.1, -88.9, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238119887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/83 > -4139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.18823 microseconds to weeks.\nAnswer: 0.000000000960959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46048, -184180, -414400, -736708, -1151104, -1657588?\n\"Answer: -46044*h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = -1, 0 = -3*o - 4*w - 4. Suppose -2 = -2*u + 5*c - 23, -o*c = 5*u - 30. Solve b + 4*z = -u*b - 5, -1 = -z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 15*g**2 - 156*g**3 + 151*g**3.\nAnswer: -5*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaayymy. Give prob of picking 2 a and 2 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 39*u = 5*r + 8, 5*u + 45 = -20*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, -6, 168 in decreasing order.\nAnswer: 168, 4, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 215*c + 25. Let s(h) = 428*h + 57. Calculate 3*s(r) - 7*y(r).\nAnswer: -221*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25186*m**3*t - 2*m**3 - 32*m**2*t - 81*m + 5*t wrt m?\nAnswer: 151116*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-7) - (-4 - (135297\/(-9021))\/3). Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (228015\/(-12))\/(-9) + 1\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}